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Fakultät 8, Mathematik & Physik (T3.0)
Fachbereich Mathematik
Forschung
Publikationen
Publikationen des Fachbereichs Mathematik

Publikationen des Fachbereichs Mathematik

Fachbereich Mathematik

Publikationen der Mitglieder des Fachbereichs Mathematik ab 2017

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Einen ersten Eindruck über die vielfältigen Publikationen der Forschenden des Fachbereichs, nicht nur in begutachteten Fachzeitschriften, gibt die folgende Übersicht exemplarisch für den Zeitraum ab 2017. Einen detaillerteren, evtl. vollständigeren und themenspezifischeren Eindruck vermitteln die Seiten der einzelnen Institute, Arbeitsgruppen und koordinierten Forschungsprogramme.

2022
1. Agullo, E., Altenbernd, M., Anzt, H., Bautista-Gomez, L., Benacchio, T., Bonaventura, L., Bungartz, H.-J., Chatterjee, S., Ciorba, F. M., DeBardeleben, N., Drzisga, D., Eibl, S., Engelmann, C., Gansterer, W. N., Giraud, L., Göddeke, D., Heisig, M., Jézéquel, F., Kohl, N., … Wohlmuth, B. (2022). Resiliency in numerical algorithm design for extreme scale simulations. The International Journal of High Performance ComputingApplications, 36(2), 10943420211055188. https://doi.org/10.1177/10943420211055188
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  @article{agullo2022resiliency, author = {Agullo, Emmanuel and Altenbernd, Mirco and Anzt, Hartwig and Bautista-Gomez, Leonardo and Benacchio, Tommaso and Bonaventura, Luca and Bungartz, Hans-Joachim and Chatterjee, Sanjay and Ciorba, Florina M and DeBardeleben, Nathan and Drzisga, Daniel and Eibl, Sebastian and Engelmann, Christian and Gansterer, Wilfried N and Giraud, Luc and Göddeke, Dominik and Heisig, Marco and Jézéquel, Fabienne and Kohl, Nils and Li, Xiaoye Sherry and Lion, Romain and Mehl, Miriam and Mycek, Paul and Obersteiner, Michael and Quintana-Ortí, Enrique S and Rizzi, Francesco and Rüde, Ulrich and Schulz, Martin and Fung, Fred and Speck, Robert and Stals, Linda and Teranishi, Keita and Thibault, Samuel and Thönnes, Dominik and Wagner, Andreas and Wohlmuth, Barbara}, doi = {10.1177/10943420211055188}, journal = {The International Journal of High Performance ComputingApplications}, number = 2, pages = 10943420211055188, title = {Resiliency in numerical algorithm design for extreme scale simulations}, volume = 36, year = 2022 }
2. Beschle, C. A., & Kovács, B. (2022). Stability and error estimates for non-linear Cahn–Hilliard-type equations on evolving surfaces. Numerische Mathematik, 1--48. https://doi.org/10.1007/s00211-022-01280-5
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  @article{10.1007/s00211-022-01280-5, abstract = {{In this paper, we consider a non-linear fourth-order evolution equation of Cahn–Hilliard-type on evolving surfaces with prescribed velocity, where the non-linear terms are only assumed to have locally Lipschitz derivatives. High-order evolving surface finite elements are used to discretise the weak equation system in space, and a modified matrix–vector formulation for the semi-discrete problem is derived. The anti-symmetric structure of the equation system is preserved by the spatial discretisation. A new stability proof, based on this structure, combined with consistency bounds proves optimal-order and uniform-in-time error estimates. The paper is concluded by a variety of numerical experiments.}}, author = {Beschle, Cedric Aaron and Kovács, Balázs}, doi = {10.1007/s00211-022-01280-5}, issn = {0029-599X}, journal = {Numerische Mathematik}, note = {\url{https://rdcu.be/cKKTQ}}, pages = {1--48}, title = {{Stability and error estimates for non-linear Cahn–Hilliard-type equations on evolving surfaces}}, year = 2022 }
3. Buchfinck, P., Glas, S., & Haasdonk, B. (2022). Optimal Bases for Symplectic Model Order Reduction of Canonizable Linear Hamiltonian Systems.
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  @article{buchfinck2022optimal, author = {Buchfinck, Patrick and Glas, Silke and Haasdonk, Bernard}, editor = {submitted}, title = {Optimal Bases for Symplectic Model Order Reduction of Canonizable Linear Hamiltonian Systems}, year = 2022 }
4. Burbulla, S., & Rohde, C. (2022). A finite-volume moving-mesh method for two-phase flow in fracturing porous media. J. Comput. Phys., 111031. https://doi.org/10.1016/j.jcp.2022.111031
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  @article{burbulla2022finitevolume, abstract = {Multiphase flow in fractured porous media can be described by discrete fracture matrix models that represent the fractures as dimensionally reduced manifolds embedded in the bulk porous medium. Generalizing earlier work on this approach we focus on immiscible two-phase flow in time-dependent fracture geometries, i.e., the fracture itself and the aperture of the fractures might evolve in time. For dynamic fracture geometries of that kind, neglecting capillary forces, we deduce by transversal averaging of a full dimensional description a dimensionally reduced model that governs the geometric evolution and the flow dynamics. The core computational contribution is a mixed-dimensional finite-volume discretization based on a conforming moving-mesh ansatz. This finite-volume moving-mesh (FVMM) algorithm is tracking the fractures' motions as a family of unions of facets of the mesh. Notably, the method permits arbitrary movement of facets of the triangulation while keeping the mass conservation constraint. In a series of numerical examples we investigate the modeling error of the reduced model as it compares to the original full dimensional model. Moreover, we show the performance of the finite-volume moving-mesh algorithm for the complex wave pattern that is induced by the interaction of saturation fronts and evolving fractures.}, author = {Burbulla, Samuel and Rohde, Christian}, doi = {https://doi.org/10.1016/j.jcp.2022.111031}, journal = {J. Comput. Phys.}, pages = 111031, title = {A finite-volume moving-mesh method for two-phase flow in fracturing porous media}, url = {https://www.sciencedirect.com/science/article/pii/S0021999122000936}, year = 2022 }
5. Burbulla, S., Hörl, M., & Rohde, C. (2022). Flow in Porous Media with Fractures of Varying Aperture. In arXiv e-prints. https://doi.org/10.48550/arXiv.2207.09301
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  @preprint{burbulla.hoerl.rohde:fractures:2022, abstract = {We study single-phase flow in a fractured porous medium at a macroscopic scale that allows to model fractures individually. The flow is governed by Darcy's law in both fractures and porous matrix. We derive a new mixed-dimensional model, where fractures are represented by $(n-1)$-dimensional interfaces between $n$-dimensional subdomains for $n\ge 2$. In particular, we suggest a generalization of the model in~[22] by accounting for asymmetric fractures with spatially varying aperture. Thus, the new model is particularly convenient for the description of surface roughness or for modeling curvilinear or winding fractures. The wellposedness of the new model is proven under appropriate conditions. Further, we formulate a discontinuous Galerkin discretization of the new model and validate the model by performing two- and three-dimensional numerical experiments.}, archiveprefix = {arXiv}, author = {Burbulla, Samuel and Hörl, Maximilian and Rohde, Christian}, doi = {10.48550/arXiv.2207.09301}, eprint = {2207.09301}, eprintclass = {math.NA}, eprinttype = {arXiv}, file = {online:http\:/arxiv.org/pdf/2207.09301:PDF}, journal = {arXiv e-prints}, langid = {english}, primaryclass = {math.NA}, title = {Flow in Porous Media with Fractures of Varying Aperture}, url = {https://doi.org/10.48550/arXiv.2207.09301}, year = 2022 }
6. Burbulla, S., Dedner, A., Hörl, M., & Rohde, C. (2022). Dune-MMesh: The Dune Grid Module for Moving Interfaces. J. Open Source Softw., 7(74), 3959. https://doi.org/10.21105/joss.03959
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  @article{Burbulla2022, author = {Burbulla, Samuel and Dedner, Andreas and Hörl, Maximilian and Rohde, Christian}, doi = {10.21105/joss.03959}, journal = {J. Open Source Softw.}, number = 74, pages = 3959, publisher = {The Open Journal}, title = {Dune-MMesh: The Dune Grid Module for Moving Interfaces}, url = {https://doi.org/10.21105/joss.03959}, volume = 7, year = 2022 }
7. Eggenweiler, E., Discacciati, M., & Rybak, I. (2022). Analysis of the Stokes-Darcy problem with generalised interface conditions. ESAIM Math. Model. Numer. Anal., 56, 727–742. https://doi.org/10.1051/m2an/2022025
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  @article{Eggenweiler_Rybak_Discacciati_21, author = {Eggenweiler, E. and Discacciati, M. and Rybak, I.}, doi = {10.1051/m2an/2022025}, journal = {ESAIM Math. Model. Numer. Anal.}, pages = {727-742}, title = {Analysis of the Stokes-Darcy problem with generalised interface conditions }, volume = 56, year = 2022 }
8. Frank, R., Laptev, A., & Weidl, T. (2022). Schrödinger Operators: Eigenvalues and Lieb–Thirring Inequalities. Cambridge Studies in Advanced Mathematics, 512.
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  @article{frank2022schrdinger, abstract = {The analysis of eigenvalues of Laplace and Schrödinger operators is an important and classical topic in mathematical physics with many applications. This book presents a thorough introduction to the area, suitable for masters and graduate students, and includes an ample amount of background material on the spectral theory of linear operators in Hilbert spaces and on Sobolev space theory. Of particular interest is a family of inequalities by Lieb and Thirring on eigenvalues of Schrödinger operators, which they used in their proof of stability of matter. The final part of this book is devoted to the active research on sharp constants in these inequalities and contains state-of-the-art results, serving as a reference for experts and as a starting point for further research.}, author = {Frank, Rupert and Laptev, Ari and Weidl, Timo}, editor = {Press., Cambridge University}, isbn = {978-1009218467}, journal = {Cambridge Studies in Advanced Mathematics}, language = {English}, pages = 512, title = {Schrödinger Operators: Eigenvalues and Lieb–Thirring Inequalities}, year = 2022 }
9. Frank, R. L., Laptev, A., & Weidl, T. (2022). An improved one-dimensional Hardy inequality. https://arxiv.org/abs/2204.00877
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  @misc{frank2022improved, abstract = {We prove a one-dimensional Hardy inequality on the halfline with sharp constant, which improves the classical form of this inequality. As a consequence of this new inequality we can rederive known doubly weighted Hardy inequalities. Our motivation comes from the theory of Schrödinger operators and we explain the use of Hardy inequalities in that context.}, archiveprefix = {arXiv}, author = {Frank, Rupert L. and Laptev, Ari and Weidl, Timo}, eprint = {2204.00877}, howpublished = {19 pages}, language = {English}, primaryclass = {math.AP}, title = {An improved one-dimensional Hardy inequality}, url = {https://arxiv.org/abs/2204.00877}, year = 2022 }
10. Gander, M., Lunowa, S., & Rohde, C. (2022). Non-overlapping Schwarz Waveform-Relaxation for Nonlinear Advection-Diffusion Equations. SIAM J. Sci. Comput. http://www.uhasselt.be/Documents/CMAT/Preprints/2021/UP2103.pdf
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  @article{gander2021nonoverlapping, author = {Gander, Martin and Lunowa, Stephan and Rohde, Christian}, journal = {SIAM J. Sci. Comput.}, title = {Non-overlapping Schwarz Waveform-Relaxation for Nonlinear Advection-Diffusion Equations}, url = {http://www.uhasselt.be/Documents/CMAT/Preprints/2021/UP2103.pdf}, year = 2022 }
11. Gavrilenko, P., Haasdonk, B., Iliev, O., Ohlberger, M., Schindler, F., Toktaliev, P., Wenzel, T., & Youssef, M. (2022). A Full Order, Reduced Order and Machine Learning Model Pipeline for Efficient Prediction of Reactive Flows. In I. Lirkov & S. Margenov (Hrsg.), Large-Scale Scientific Computing (S. 378--386). Springer International Publishing.
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  @inproceedings{gavrilenko2022order, abstract = {We present an integrated approach for the use of simulated data from full order discretization as well as projection-based Reduced Basis reduced order models for the training of machine learning approaches, in particular Kernel Methods, in order to achieve fast, reliable predictive models for the chemical conversion rate in reactive flows with varying transport regimes.}, address = {Cham}, author = {Gavrilenko, Pavel and Haasdonk, Bernard and Iliev, Oleg and Ohlberger, Mario and Schindler, Felix and Toktaliev, Pavel and Wenzel, Tizian and Youssef, Maha}, booktitle = {Large-Scale Scientific Computing}, editor = {Lirkov, Ivan and Margenov, Svetozar}, isbn = {978-3-030-97549-4}, pages = {378--386}, publisher = {Springer International Publishing}, title = {A Full Order, Reduced Order and Machine Learning Model Pipeline for Efficient Prediction of Reactive Flows}, year = 2022 }
12. Haasdonk, B., Kleikamp, H., Ohlberger, M., Schindler, F., & Wenzel, T. (2022). A new certified hierarchical and adaptive RB-ML-ROM surrogate model for parametrized PDEs. arXiv. https://doi.org/10.48550/ARXIV.2204.13454
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  @misc{https://doi.org/10.48550/arxiv.2204.13454, author = {Haasdonk, B. and Kleikamp, H. and Ohlberger, M. and Schindler, F. and Wenzel, T.}, copyright = {arXiv.org perpetual, non-exclusive license}, doi = {10.48550/ARXIV.2204.13454}, publisher = {arXiv}, title = {A new certified hierarchical and adaptive RB-ML-ROM surrogate model for parametrized PDEs}, url = {https://arxiv.org/abs/2204.13454}, year = 2022 }
13. Hahn, B. N., Garrido, M.-L. K., Klingenberg, C., & Warnecke, S. (2022). Using the Navier-Cauchy equation for motion estimation in dynamic imaging. Inverse Problems and Imaging, 0(0), 0. https://doi.org/10.3934/ipi.2022018
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  @article{Hahn_2022, author = {Hahn, Bernadette N. and Garrido, Melina-Loren Kienle and Klingenberg, Christian and Warnecke, Sandra}, doi = {10.3934/ipi.2022018}, journal = {Inverse Problems and Imaging}, number = 0, pages = 0, publisher = {American Institute of Mathematical Sciences ({AIMS})}, title = {Using the Navier-Cauchy equation for motion estimation in dynamic imaging}, url = {https://doi.org/10.3934%2Fipi.2022018}, volume = 0, year = 2022 }
14. Keim, J., Munz, C.-D., & Rohde, C. (2022). A Relaxation Model for the Non-Isothermal Navier-Stokes-Korteweg Equations in onfined Domains. In arXiv e-prints. https://doi.org/0.48550/ARXIV.2208.05310
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  @preprint{Keim.Munz.rohde:NSK:2022, archiveprefix = {arXiv}, author = {Keim, Jens and Munz, Claus-Dieter and Rohde, Christian}, doi = {0.48550/ARXIV.2208.05310}, eprint = {2208.05310v1}, eprintclass = {physics.flu-dyn}, eprinttype = {arXiv}, journal = {arXiv e-prints}, langid = {english}, primaryclass = {physics.flu-dyn}, title = {A Relaxation Model for the Non-Isothermal Navier-Stokes-Korteweg Equations in onfined Domains}, url = {https://arxiv.org/abs/2208.05310}, year = 2022 }
15. Kröker, I., Oladyshkin, S., & Rybak, I. (2022). Global sensitivity analysis using multi-resolution polynomial chaos expansion for coupled Stokes-Darcy flow problems. Comput. Geosci. (submitted). https://doi.org/10.21203/rs.3.rs-1742793/v1
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  @article{kroeker-etal-22, author = {Kr\"oker, I. and Oladyshkin, S. and Rybak, I.}, doi = {10.21203/rs.3.rs-1742793/v1}, journal = {Comput. Geosci. (submitted)}, title = {Global sensitivity analysis using multi-resolution polynomial chaos expansion for coupled Stokes-Darcy flow problems}, year = 2022 }
16. Magiera, J., & Rohde, C. (2022). A molecular–continuum multiscale model for inviscid liquid–vapor flow with sharp interfaces. J. Comput. Phys., 111551. https://doi.org/10.1016/j.jcp.2022.111551
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  @article{magiera.rohde:molecular:2022, abstract = {The dynamics of compressible liquid–vapor flow depends sensitively on the microscale behavior at the phase boundary. We consider a sharp-interface approach, and propose a multiscale model to describe liquid–vapor flow accurately, without imposing ad-hoc closure relations on the continuum scale. The multiscale model combines the Euler equations on the continuum scale with molecular-scale particle simulations that govern the interface motion. We rely on an interface-preserving moving mesh finite volume method to discretize the continuum-scale sharp-interface flow in a conservative manner. Computational efficiency, while preserving physical properties, is achieved by a surrogate solver for the interface dynamics based on constraint-aware neural networks. The multiscale model is presented in its general form, and applied to regimes of temperature-dependent liquid–vapor flow which have not been accessible before.}, author = {Magiera, J. and Rohde, C.}, doi = {https://doi.org/10.1016/j.jcp.2022.111551}, issn = {0021-9991}, journal = {J. Comput. Phys.}, pages = 111551, title = {A molecular–continuum multiscale model for inviscid liquid–vapor flow with sharp interfaces}, url = {https://www.sciencedirect.com/science/article/pii/S0021999122006131}, year = 2022 }
17. Magiera, J., & Rohde, C. (2022). Analysis and Numerics of Sharp and Diffuse Interface Models for Droplet Dynamics. In K. Schulte, C. Tropea, & B. Weigand (Hrsg.), Droplet Dynamics under Extreme Ambient Conditions. Springer International Publishing. https://doi.org/10.1007/978-3-031-09008-0_4
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  @inbook{magiera.rohde:analysis:2021, abstract = {The modelling of liquid--vapour flow with phase transition poses many challenges, both on the theoretical level, as well as on the level of discretisation methods. Therefore, accurate mathematical models and efficient numerical methods are required. In that, we focus on two modelling approaches: the sharp-interface (SI) approach and the diffuse-interface (DI) approach. For the SI-approach, representing the phase boundary as a co-dimension-1 manifold, we develop and validate analytical Riemann solvers for basic isothermal two-phase flow scenarios. This ansatz becomes cumbersome for increasingly complex thermodynamical settings. A more versatile multiscale interface solver, that is based on molecular dynamics simulations, is able to accurately describe the evolution of phase boundaries in the temperature-dependent case. It is shown to be even applicable to two-phase flow of multiple components. Despite the successful developments for the SI approach, these models fail if the interface undergoes topological changes. To understand merging and splitting phenomena for droplet ensembles, we consider DI models of second gradient type. For these Navier--Stokes--Korteweg systems, that can be seen as a third order extension of the Navier--Stokes equations, we propose variants that are more accessible to standard numerical schemes. More precisely, we reformulate the capillarity operator to restore the hyperbolicity of the Euler operator in the full system.}, author = {Magiera, Jim and Rohde, Christian}, booktitle = {Droplet Dynamics under Extreme Ambient Conditions}, doi = {10.1007/978-3-031-09008-0_4}, editor = {Schulte, Kathrin and Tropea, Cameron and Weigand, Bernhard}, isbn = {978-3-031-09008-0}, langid = {english}, publisher = {Springer International Publishing}, pubstate = {in review}, series = {Fluid Mechanics and its Application}, title = {Analysis and Numerics of Sharp and Diffuse Interface Models for Droplet Dynamics}, url = {https://doi.org/10.1007/978-3-031-09008-0_4}, year = 2022 }
18. Massa, F., Ostrowski, L., Bassi, F., & Rohde, C. (2022). An artificial Equation of State based Riemann solver for a discontinuous Galerkin discretization of the incompressible Navier–Stokes equations. J. Comput. Phys., 110705. https://doi.org/10.1016/j.jcp.2021.110705
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  @article{MassaOstrowskiBassiRohde21, abstract = {In this work we present a novel exact Riemann solver for an artificial Equation of State (EoS) based modification of the incompressible Euler equations. Differently from the well known artificial compressibility method, this new approach overcomes the lack of the pressure-velocity coupling by using a suitably designed artificial EoS. The modified set of equations fits into the framework of first order hyperbolic conservation laws. Accordingly, an exact Riemann solver is derived. This new solver has the advantage to avoid a wave pattern violation issue which can affect the exact Riemann problem solution obtained by the standard artificial compressibility approach. The new artificial EoS based Riemann solver can be used as a tool for the definition of the advective Godunov fluxes in a Finite Volume or a discontinuous Galerkin discretization of the incompressible Navier–Stokes (INS) equations. We assess and analyse the new exact Riemann solver on 1D Riemann problems. Its capability and effectiveness are then shown in the context of a high-order accurate discontinuous Galerkin discretization of the INS equations. In particular, we verify the convergence properties, both in space and time, considering two test cases in 2D, namely, the Kovasznay test case and a damped travelling waves test case. Finally, we perform an implicit large eddy simulation of the incompressible turbulent flow over periodic hills where the classic forcing term formulation is modified to deal with variable time steps. Solution comparisons with respect to numerical and experimental results from the literature are given.}, author = {Massa, F. and Ostrowski, L. and Bassi, F. and Rohde, C.}, doi = {https://doi.org/10.1016/j.jcp.2021.110705}, issn = {0021-9991}, journal = {J. Comput. Phys.}, pages = 110705, title = {An artificial Equation of State based Riemann solver for a discontinuous Galerkin discretization of the incompressible Navier–Stokes equations}, url = {https://www.sciencedirect.com/science/article/pii/S0021999121006008}, year = 2022 }
19. Mel’nyk, T., & Rohde, C. (2022). Asymptotic expansion for convection-dominated transport in a thin graph-like junction. In arXiv e-prints. https://doi.org/10.48550/ARXIV.2208.05812
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  @preprint{Melnyk.Rohde:junction:2022], archiveprefix = {arXiv}, author = {Mel'nyk, Taras and Rohde, Christian}, doi = {10.48550/ARXIV.2208.05812}, eprint = {2208.05812}, eprinttype = {arXiv}, journal = {arXiv e-prints}, langid = {english}, primaryclass = {math.AP}, title = {Asymptotic expansion for convection-dominated transport in a thin graph-like junction}, url = {https://arxiv.org/abs/2208.05812}, year = 2022 }
20. Merkle, R., & Barth, A. (2022). Subordinated Gaussian Random Fields in Elliptic Partial Differential Equations. Stoch PDE: Anal Comp. https://doi.org/10.1007/s40072-022-00246-w
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  @article{SGRFPDE, author = {Merkle, R. and Barth, A.}, journal = {Stoch PDE: Anal Comp}, note = {https://doi.org/10.1007/s40072-022-00246-w}, title = {Subordinated {G}aussian Random Fields in Elliptic Partial Differential Equations}, url = {https://doi.org/10.1007/s40072-022-00246-w}, year = 2022 }
21. Merkle, R., & Barth, A. (2022). Multilevel Monte Carlo estimators for elliptic PDEs with Lévy-type diffusion coefficient. BIT Numer Math. https://doi.org/10.1007/s10543-022-00912-4
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  @article{SGRFPDEMLMC, author = {Merkle, R. and Barth, A.}, journal = {BIT Numer Math}, note = {https://doi.org/10.1007/s10543-022-00912-4}, title = {Multilevel {M}onte {C}arlo estimators for elliptic {PDE}s with {L}évy-type diffusion coefficient}, url = {https://doi.org/10.1007/s10543-022-00912-4}, year = 2022 }
22. Merkle, R., & Barth, A. (2022). On some distributional properties of subordinated Gaussian random fields. Methodol Comput Appl Probab.
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  @article{SGRF, author = {Merkle, R. and Barth, A.}, journal = {Methodol Comput Appl Probab}, note = {https://doi.org/10.1007/s11009-022-09958-x}, title = {On some distributional properties of subordinated {G}aussian random fields}, year = 2022 }
23. Miller, C. T., Gray, W. G., Kees, C. E., Rybak, I. V., & Shepherd, B. J. (2022). Correction to: Modelling Sediment Transport in Three-Phase Surface Water Systems. J. Hydraul. Res. (submitted).
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  @article{miller-etal-22, author = {Miller, C. T. and Gray, W. G. and Kees, C. E. and Rybak, I. V. and Shepherd, B. J.}, journal = {J. Hydraul. Res. (submitted)}, title = {Correction to: Modelling Sediment Transport in Three-Phase Surface Water Systems}, year = 2022 }
24. Miller, C. T., Gray, W. G., Kees, C. E., Rybak, I., & Shepherd, B. (2022). Correction to: Modeling Sediment Transport in Three-Phase Surface Water Systems. J. Hydraul. Res. (submitted).
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  @article{miller-etal-22, author = {Miller, C. T. and Gray, W. G. and Kees, C. E. and Rybak, I. and Shepherd, B.}, journal = {J. Hydraul. Res. (submitted)}, title = {Correction to: Modeling Sediment Transport in Three-Phase Surface Water Systems}, year = 2022 }
25. Mohammadi, F., Eggenweiler, E., Flemisch, B., Oladyshkin, S., Rybak, I., Schneider, M., & Weishaupt, K. (2022). A Surrogate-Assisted Uncertainty-Aware Bayesian Validation Framework and its Application to Coupling Free Flow and Porous-Medium Flow. Comput. Geosci. (submitted). https://arxiv.org/abs/2106.13639
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  @article{mohammadi2021uncertaintyaware, author = {Mohammadi, F. and Eggenweiler, E. and Flemisch, B. and Oladyshkin, S. and Rybak, I. and Schneider, M. and Weishaupt, K.}, journal = {Comput. Geosci. (submitted)}, title = {A Surrogate-Assisted Uncertainty-Aware Bayesian Validation Framework and its Application to Coupling Free Flow and Porous-Medium Flow}, url = {https://arxiv.org/abs/2106.13639}, year = 2022 }
26. Rettberg, J., Wittwar, D., Buchfink, P., Brauchler, A., Ziegler, P., Fehr, J., & Haasdonk, B. (2022). Port-Hamiltonian Fluid-Structure Interaction Modeling and Structure-Preserving Model Order Reduction of a Classical Guitar. https://doi.org/10.48550/arXiv.2203.10061
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  @misc{rettberg2022porthamiltonian, author = {Rettberg, Johannes and Wittwar, Dominik and Buchfink, Patrick and Brauchler, Alexander and Ziegler, Pascal and Fehr, Jörg and Haasdonk, Bernard}, doi = {https://doi.org/10.48550/arXiv.2203.10061}, howpublished = {preprint}, title = {Port-Hamiltonian Fluid-Structure Interaction Modeling and Structure-Preserving Model Order Reduction of a Classical Guitar}, url = {https://arxiv.org/abs/2203.10061}, year = 2022 }
27. Santin, G., Karvonen, T., & Haasdonk, B. (2022). Sampling based approximation of linear functionals in reproducing kernel Hilbert spaces. BIT - Numerical Mathematics, 62(1), 279–310. https://doi.org/10.1007/s10543-021-00870-3
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  @article{santin2022sampling, affiliation = {Santin, G (Corresponding Author), Fdn Bruno Kessler, Digital Soc Ctr, Trento, Italy. Santin, Gabriele, Fdn Bruno Kessler, Digital Soc Ctr, Trento, Italy. Karvonen, Toni, Alan Turing Inst, London, England. Haasdonk, Bernard, Univ Stuttgart, Inst Appl Anal & Numer Simulat, Stuttgart, Germany.}, author = {Santin, Gabriele and Karvonen, Toni and Haasdonk, Bernard}, doi = {10.1007/s10543-021-00870-3}, issn = {{0006-3835} and {1572-9125}}, journal = {BIT - numerical mathematics}, language = {eng}, number = 1, orcid-numbers = {Santin, Gabriele/0000-0001-6959-1070}, pages = {279-310}, publisher = {Springer}, research-areas = {Computer Science; Mathematics}, researcherid-numbers = {Santin, Gabriele/U-8464-2017}, title = {Sampling based approximation of linear functionals in reproducing kernel Hilbert spaces}, unique-id = {ISI:000639741800002}, volume = 62, year = 2022 }
28. Seus, D., Radu, F. A., & Rohde, C. (2022). Towards hybrid two-phase modelling using linear domain decomposition. Numerical Methods for Partial Differential Equations, n/a(n/a), Article n/a. https://doi.org/10.1002/num.22906
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  @article{seus2022towards, abstract = {The viscous flow of two immiscible fluids in a porous medium on the Darcy scale is governed by a system of nonlinear parabolic equations. If infinite mobility of one phase can be assumed (e.g., in soil layers in contact with the atmosphere) the system can be substituted by the scalar Richards model. Thus, the porous medium domain may be partitioned into disjoint subdomains where either the full two-phase or the simplified Richards model dynamics are valid. Extending the previously considered one-model situations we suggest coupling conditions for this hybrid model approach. Based on an Euler implicit discretization, a linear iterative (L-type) domain decomposition scheme is proposed, and proved to be convergent. The theoretical findings are verified by a comparative numerical study that in particular confirms the efficiency of the hybrid ansatz as compared to full two-phase model computations.}, author = {Seus, David and Radu, Florin A. and Rohde, Christian}, doi = {https://doi.org/10.1002/num.22906}, journal = {Numerical Methods for Partial Differential Equations}, number = {n/a}, title = {Towards hybrid two-phase modelling using linear domain decomposition}, url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/num.22906}, volume = {n/a}, year = 2022 }
29. Shuva, S., Buchfink, P., Röhrle, O., & Haasdonk, B. (2022). Reduced Basis Methods for Efficient Simulation of a Rigid Robot Hand Interacting with Soft Tissue. In I. Lirkov & S. Margenov (Hrsg.), Large-Scale Scientific Computing (S. 402--409). Springer International Publishing.
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  @inproceedings{shuva2022reduced, abstract = {We present efficient reduced basis (RB) methods for the simulation of a coupled problem consisting of a rigid robot hand interacting with soft tissue material. The soft tissue is modeled by the linear elasticity equation and discretized with the Finite Element Method. We look at two different scenarios: (i) the forward simulation and (ii) a feedback control formulation of the model. In both cases, large-scale systems of equations appear, which need to be solved in real-time. This is essential in practice for the implementation in a real robot. For the feedback-scenario, we encounter a high-dimensional Algebraic Riccati Equation (ARE) in the context of the linear quadratic regulator. To overcome the real-time constraint by significantly reducing the computational complexity, we use several structure-preserving and non-structure-preserving reduction methods. These include reduced basis techniques based on the Proper Orthogonal Decomposition. For the ARE, we compute a low-rank-factor and hence solve a low-dimensional ARE instead of solving a full dimensional problem. Numerical examples for both cases (i) and (ii) are provided. These illustrate the approximation quality of the reduced solution and speedup factors of the different reduction approaches.}, author = {Shuva, Shahnewaz and Buchfink, Patrick and Röhrle, Oliver and Haasdonk, Bernard}, booktitle = {Large-Scale Scientific Computing}, editor = {Lirkov, Ivan and Margenov, Svetozar}, isbn = {978-3-030-97549-4}, pages = {402--409}, publisher = {Springer International Publishing}, title = {Reduced Basis Methods for Efficient Simulation of a Rigid Robot Hand Interacting with Soft Tissue}, year = 2022 }
30. Strohbeck, P., Eggenweiler, E., & Rybak, I. (2022). A modification of the Beavers-Joseph condition for arbitrary flows to the fluid-porous interface. Transp. Porous Med. (submitted). https://arxiv.org/abs/2106.15556
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  @article{Strohback_Eggenweiler_Rybak_21, author = {Strohbeck, P. and Eggenweiler, E. and Rybak, I.}, journal = {Transp. Porous Med. (submitted)}, title = {A modification of the Beavers-Joseph condition for arbitrary flows to the fluid-porous interface}, url = {https://arxiv.org/abs/2106.15556}, year = 2022 }
31. Wenzel, T., Santin, G., & Haasdonk, B. (2022). Stability of convergence rates: Kernel interpolation on non-Lipschitz domains. arXiv. https://doi.org/10.48550/ARXIV.2203.12532
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  @misc{wenzel2022stability, author = {Wenzel, Tizian and Santin, Gabriele and Haasdonk, Bernard}, copyright = {arXiv.org perpetual, non-exclusive license}, doi = {10.48550/ARXIV.2203.12532}, publisher = {arXiv}, title = {Stability of convergence rates: Kernel interpolation on non-Lipschitz domains}, url = {https://arxiv.org/abs/2203.12532}, year = 2022 }
32. Wenzel, T., Kurz, M., Beck, A., Santin, G., & Haasdonk, B. (2022). Structured Deep Kernel Networks for Data-Driven Closure Terms of Turbulent Flows. In I. Lirkov & S. Margenov (Hrsg.), Large-Scale Scientific Computing (S. 410--418). Springer International Publishing.
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  @inproceedings{wenzel2022structured, abstract = {Standard kernel methods for machine learning usually struggle when dealing with large datasets. We review a recently introduced Structured Deep Kernel Network (SDKN) approach that is capable of dealing with high-dimensional and huge datasets - and enjoys typical standard machine learning approximation properties.}, address = {Cham}, author = {Wenzel, Tizian and Kurz, Marius and Beck, Andrea and Santin, Gabriele and Haasdonk, Bernard}, booktitle = {Large-Scale Scientific Computing}, editor = {Lirkov, Ivan and Margenov, Svetozar}, isbn = {978-3-030-97549-4}, pages = {410--418}, publisher = {Springer International Publishing}, title = {Structured Deep Kernel Networks for Data-Driven Closure Terms of Turbulent Flows}, year = 2022 }
33. Wirth, J., & Sebih, M. E. (2022). On a wave equation with singular dissipation. Mathematische Nachrichten, 295(8), Article 8. https://doi.org/10.1002/mana.202000076
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  @article{wirth2022, author = {Wirth, Jens and Sebih, Mohammed Elamine}, doi = {10.1002/mana.202000076}, journal = {Mathematische Nachrichten}, number = 8, title = {On a wave equation with singular dissipation}, volume = 295, year = 2022 }
34. Zaverkin, V., Holzmüller, D., Schuldt, R., & Kästner, J. (2022). Predicting properties of periodic systems from cluster data: A case study of liquid water. The Journal of Chemical Physics, 156(11), 114103. https://doi.org/10.1063/5.0078983
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  @article{doi:10.1063/5.0078983, abstract = { The accuracy of the training data limits the accuracy of bulk properties from machine-learned potentials. For example, hybrid functionals or wave-function-based quantum chemical methods are readily available for cluster data but effectively out of scope for periodic structures. We show that local, atom-centered descriptors for machine-learned potentials enable the prediction of bulk properties from cluster model training data, agreeing reasonably well with predictions from bulk training data. We demonstrate such transferability by studying structural and dynamical properties of bulk liquid water with density functional theory and have found an excellent agreement with experimental and theoretical counterparts. }, author = {Zaverkin, Viktor and Holzmüller, David and Schuldt, Robin and Kästner, Johannes}, doi = {10.1063/5.0078983}, eprint = {https://doi.org/10.1063/5.0078983}, journal = {The Journal of Chemical Physics}, number = 11, pages = 114103, title = {Predicting properties of periodic systems from cluster data: A case study of liquid water}, url = {/brokenurl# https://doi.org/10.1063/5.0078983 }, volume = 156, year = 2022 }
35. Zinßer, M., Braun, B., Helder, T., Magorian Friedlmeier, T., Pieters, B., Heinlein, A., Denk, M., Göddeke, D., & Powalla, M. (2022). Irradiation-dependent topology optimization of metallization grid patterns and variation of contact layer thickness used for latitude-based yield gain of thin-film solar modules. MRS Advances. https://doi.org/10.1557/s43580-022-00321-3
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  @article{Zinsser:2022:IDT, author = {Zinßer, Mario and Braun, Benedikt and Helder, Tim and Magorian Friedlmeier, Theresa and Pieters, Bart and Heinlein, Alexander and Denk, Martin and Göddeke, Dominik and Powalla, Michael}, doi = {10.1557/s43580-022-00321-3}, journal = {MRS Advances}, month = {08}, title = {Irradiation-dependent topology optimization of metallization grid patterns and variation of contact layer thickness used for latitude-based yield gain of thin-film solar modules}, year = 2022 }
2021
1. Alkämper, M., Magiera, J., & Rohde, C. (2021). An Interface Preserving Moving Mesh in Multiple SpaceDimensions. Computing Research Repository, abs/2112.11956. https://arxiv.org/abs/2112.11956
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  @article{alkamper2021interface, author = {Alkämper, Maria and Magiera, Jim and Rohde, Christian}, journal = {Computing Research Repository}, title = {An Interface Preserving Moving Mesh in Multiple SpaceDimensions}, url = {https://arxiv.org/abs/2112.11956}, volume = {abs/2112.11956}, year = 2021 }
2. Alonso-Orán, D., Rohde, C., & Tang, H. (2021). A local-in-time theory for singular SDEs with applications to fluid models with transport noise. J. Nonlinear Sci., 31(6), Paper No. 98, 55. https://doi.org/doi.org/10.1007/s00332-021-09755-9
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  @article{ORT21, author = {Alonso-Orán, Diego and Rohde, Christian and Tang, Hao}, doi = {doi.org/10.1007/s00332-021-09755-9}, issn = {0938-8974}, journal = {J. Nonlinear Sci.}, number = 6, pages = {Paper No. 98, 55}, title = {A local-in-time theory for singular SDEs with applications to fluid models with transport noise}, url = {https://doi.org/10.1007/s00332-021-09755-9}, volume = 31, year = 2021 }
3. Altenbernd, M., Dreier, N.-A., Engwer, C., & Göddeke, D. (2021). Towards Local-Failure Local-Recovery in PDE Frameworks: The Case of Linear Solvers. In T. Kozubek, P. Arbenz, J. Jaros, L. Ríha, J. Sístek, & P. Tichý (Hrsg.), High Performance Computing in Science and Engineering -- HPCSE 2019 (Bd. 12456, S. 17--38). Springer. https://doi.org/10.1007/978-3-030-67077-1_2
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  @inproceedings{Altenbernd:2021:TLF, author = {Altenbernd, Mirco and Dreier, Nils-Arne and Engwer, Christian and G{\"o}ddeke, Dominik}, booktitle = {High Performance Computing in Science and Engineering -- HPCSE 2019}, doi = {10.1007/978-3-030-67077-1_2}, editor = {Kozubek, Tom{\'a}{\v{s}} and Arbenz, Peter and Jaro{\v{s}}, Ji{\v{r}}{\'i} and {\v{R}}{\'i}ha, Lubom{\'i}r and {\v{S}}{\'i}stek, Jakub and Tich{\'y}, Petr}, month = {01}, pages = {17--38}, publisher = {Springer}, series = {Lecture Notes in Computer Science}, title = {Towards Local-Failure Local-Recovery in {PDE} Frameworks: The Case of Linear Solvers}, volume = 12456, year = 2021 }
4. Altmann, K., & Witt, F. (2021). Toric co-Higgs sheaves. Journal of Pure and Applied Algebra, 225(8), 106634. https://doi.org/10.1016/j.jpaa.2020.106634
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  @article{altmann2021toric, affiliation = {Witt, F (Corresponding Author), Univ Stuttgart, Fachbereich Math, Pfaffenwaldring 57, D-70569 Stuttgart, Germany. Altmann, Klaus, FU Berlin, Inst Math, Arnimalle 3, D-14195 Berlin, Germany. Witt, Frederik, Univ Stuttgart, Fachbereich Math, Pfaffenwaldring 57, D-70569 Stuttgart, Germany.}, author = {Altmann, Klaus and Witt, Frederik}, doi = {10.1016/j.jpaa.2020.106634}, issn = {{0022-4049} and {1873-1376}}, journal = {Journal of pure and applied algebra}, language = {eng}, number = 8, pages = 106634, publisher = {Elsevier}, research-areas = {Mathematics}, title = {Toric co-Higgs sheaves}, unique-id = {ISI:000637944200009}, volume = 225, year = 2021 }
5. Barth, A., & Merkle, R. (2021). Multilevel Monte Carlo estimators for elliptic PDEs with Lévy-type diffusion coefficient. ArXiv e-prints, arXiv:2108.05604 math.NA.
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  @article{SGRFPDEMLMC, author = {Barth, A. and Merkle, R.}, journal = {ArXiv e-prints, arXiv:2108.05604 [math.NA]}, title = {Multilevel {M}onte {C}arlo estimators for elliptic {PDE}s with {L}évy-type diffusion coefficient}, year = 2021 }
6. Beck, A., Dürrwächter, J., Kuhn, T., Meyer, F., Munz, C.-D., & Rohde, C. (2021). Uncertainty Quantification in High Performance Computational Fluid Dynamics. In W. E. Nagel, D. H. Kröner, & M. M. Resch (Hrsg.), High Performance Computing in Science and Engineering ’19 (S. 355--371). Springer International Publishing.
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  @inproceedings{10.1007/978-3-030-66792-4_24, abstract = {In this report we present advances in our research on direct aeroacoustics and uncertainty quantification, based on the high-order Discontinuous Galerkin solver FLEXI. Oscillation phenomena triggered by flow over cavities can lead to an unpleasant tonal (whistling) noise, which provides motivation for industry and academia to better understand the underlying mechanisms. We present a numerical setup capable of capturing these phenomena with high efficiency, as we show by comparison to experimental data and results from industry. Some of these phenomena are highly sensitive towards flow conditions, which makes an integrated approach regarding these conditions necessary. This is the goal of uncertainty quantification. We present software for both intrusive and non-intrusive uncertainty quantification methods. We investigate convergence and computational performance. The development of both codes was in parts carried out in cooperation with HLRS. Apart from validation results, we show a non-intrusive simulation of 3D turbulent cavity noise.}, address = {Cham}, author = {Beck, Andrea and D{\"u}rrw{\"a}chter, Jakob and Kuhn, Thomas and Meyer, Fabian and Munz, Claus-Dieter and Rohde, Christian}, booktitle = {High Performance Computing in Science and Engineering '19}, editor = {Nagel, Wolfgang E. and Kr{\"o}ner, Dietmar H. and Resch, Michael M.}, isbn = {978-3-030-66792-4}, pages = {355--371}, publisher = {Springer International Publishing}, title = {Uncertainty Quantification in High Performance Computational Fluid Dynamics}, year = 2021 }
7. Benacchio, T., Bonaventura, L., Altenbernd, M., Cantwell, C. D., Düben, P. D., Gillard, M., Giraud, L., Göddeke, D., Raffin, E., Teranishi, K., & Wedi, N. (2021). Resilience and fault tolerance in high-performance computing for numerical weather and climate prediction. The International Journal of High Performance Computing Applications, 35(4), 285–311. https://doi.org/10.1177/1094342021990433
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  @article{Benacchio:2021:RAT, author = {Benacchio, Tommaso and Bonaventura, Luca and Altenbernd, Mirco and Cantwell, Chris D. and D{\"u}ben, Peter D. and Gillard, Mike and Giraud, Luc and G{\"o}ddeke, Dominik and Raffin, Erwan and Teranishi, Keita and Wedi, Nils}, doi = {10.1177/1094342021990433}, journal = {The International Journal of High Performance Computing Applications }, month = {02}, number = 4, pages = {285-311}, title = {Resilience and fault tolerance in high-performance computing for numerical weather and climate prediction}, volume = 35, year = 2021 }
8. Benguria, R. D., Cianchi, A., Maz’ya, V. G., Davies, E. B., Takhtajan, L. A., Tretter, C., Yafaev, D., & und weitere. (2021). Partial differential equations, spectral theory, and mathematical physics—the Ari Laptev anniversary volume. In P. Exner, R. L. Frank, F. Gesztesy, H. Holden, & T. Weidl (Hrsg.), EMS Series of Congress Reports. EMS Press, Berlin. https://doi.org/10.4171/ECR/18
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  @book{benguria2021partial, abstract = {This volume is dedicated to Ari Laptev on the occasion of his 70th birthday. It collects contributions by his numerous colleagues sharing with him research interests in analysis and spectral theory. In brief, the topics covered include Friedrichs, Hardy, and Lieb–Thirring inequalities, eigenvalue bounds and asymptotics, Feshbach–Schur maps and perturbation theory, scattering theory and orthogonal polynomials, stability of matter, electron density estimates, Bose–Einstein condensation, Wehrl-type entropy inequalities, Bogoliubov theory, wave packet evolution, heat kernel estimates, homogenization, d-bar problems, Brezis–Nirenberg problems, the nonlinear Schrödinger equation in magnetic fields, classical discriminants, and the two-dimensional Euler–Bardina equations. In addition, Ari’s multifaceted service to the mathematical community is also touched upon. Altogether the volume presents a collection of research articles which will be of interest to any active scientist working in one of the above mentioned fields.}, author = {Benguria, Rafael D. and Cianchi, Andrea and Maz'ya, Vladimir G. and Davies, E. Brian and Takhtajan, Leon A. and Tretter, Christiane and Yafaev, Dmitri and und weitere}, doi = {10.4171/ECR/18}, editor = {Exner, Pavel and Frank, Rupert L. and Gesztesy, Fritz and Holden, Helge and Weidl, Timo}, isbn = {978-3-98547-007-5}, language = {English}, month = {06}, publisher = {EMS Press, Berlin}, series = {EMS Series of Congress Reports}, title = {Partial differential equations, spectral theory, and mathematical physics—the Ari Laptev anniversary volume.}, url = {https://ems.press/books/ecr/187/contents}, year = 2021 }
9. Berrett, T. B., Gyorfi, L., & Walk, H. (2021). Strongly universally consistent nonparametric regression and classification with privatised data. ELECTRONIC JOURNAL OF STATISTICS, 15(1), 2430–2453. https://doi.org/10.1214/21-EJS1845
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  @article{WOS:000662973300054, abstract = {In this paper we revisit the classical problem of nonparametric regression, but impose local differential privacy constraints. Under such constraints, the raw data (X-1, Y-1), ..., (X-n, Y-n), taking values in R-d x R, cannot be directly observed, and all estimators are functions of the randomised output from a suitable privacy mechanism. The statistician is free to choose the form of the privacy mechanism, and here we add Laplace distributed noise to a discretisation of the location of a feature vector X-i and to the value of its response variable Y-i. Based on this randomised data, we design a novel estimator of the regression function, which can be viewed as a privatised version of the well-studied partitioning regression estimator. The main result is that the estimator is strongly universally consistent, and we further establish an upper bound on the rate of convergence. Our methods and analysis also give rise to a strongly universally consistent binary classification rule for locally differentially private data.}, address = {3163 SOMERSET DR, CLEVELAND, OH 44122 USA}, affiliation = {Berrett, TB (Corresponding Author), Univ Warwick, Dept Stat, Coventry CV4 7AL, W Midlands, England. Berrett, Thomas B., Univ Warwick, Dept Stat, Coventry CV4 7AL, W Midlands, England. Gyorfi, Laszlo, Budapest Univ Technol \& Econ, Dept Comp Sci \& Informat Theory, Magyar Tudosok Krt 2, H-1117 Budapest, Hungary. Walk, Harro, Univ Stuttgart, Inst Stochast \& Applicat, Pfaffenwaldring 57, D-70569 Stuttgart, Germany.}, author = {Berrett, Thomas B. and Gyorfi, Laszlo and Walk, Harro}, author-email = {tom.berrett@warwick.ac.uk gyorfi@cs.bme.hu harro.walk@mathematik.uni-stuttgart.de}, da = {2021-08-10}, doc-delivery-number = {SU2LW}, doi = {10.1214/21-EJS1845}, issn = {1935-7524}, journal = {ELECTRONIC JOURNAL OF STATISTICS}, journal-iso = {Electron. J. Stat.}, language = {English}, number = 1, number-of-cited-references = {37}, oa = {gold}, pages = {2430-2453}, publisher = {INST MATHEMATICAL STATISTICS-IMS}, research-areas = {Mathematics}, times-cited = {0}, title = {Strongly universally consistent nonparametric regression and classification with privatised data}, type = {Article}, unique-id = {WOS:000662973300054}, usage-count-last-180-days = {3}, usage-count-since-2013 = {3}, volume = 15, web-of-science-categories = {Statistics \& Probability}, year = 2021 }
10. Brencher, L., & Barth, A. (2021). Scalar conservation laws with stochastic discontinuous flux function. ArXiv e-prints, arXiv:2107.00549 math.NA.
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  @article{Brencher2021Scalar, archiveprefix = {arXiv}, author = {Brencher, Lukas and Barth, Andrea}, eprint = {2107.00549}, journal = {ArXiv e-prints, arXiv:2107.00549 [math.NA]}, primaryclass = {math.NA}, title = {Scalar conservation laws with stochastic discontinuous flux function}, year = 2021 }
11. Brencher, L., & Barth, A. (2021). Stochastic conservation laws with discontinuous flux functions: The multidimensional case.
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  @unpublished{Brencher2021Stochastic, author = {Brencher, Lukas and Barth, Andrea}, note = {In Preparation}, title = {Stochastic conservation laws with discontinuous flux functions: The multidimensional case}, year = 2021 }
12. Buchfink, P., Glas, S., & Haasdonk, B. (2021). Symplectic Model Reduction of Hamiltonian Systems on Nonlinear Manifolds. https://doi.org/10.48550/arXiv.2112.10815
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  @misc{buchfink2021symplectic, author = {Buchfink, Patrick and Glas, Silke and Haasdonk, Bernard}, doi = {https://doi.org/10.48550/arXiv.2112.10815}, howpublished = {preprint}, title = {Symplectic Model Reduction of Hamiltonian Systems on Nonlinear Manifolds}, url = {https://arxiv.org/abs/2112.10815}, year = 2021 }
13. Buchfink, P., & Haasdonk, B. (2021). Experimental Comparison of Symplectic and Non-symplectic Model Order Reduction an Uncertainty Quantification Problem. In F. J. Vermolen & C. Vuik (Hrsg.), Numerical Mathematics and Advanced Applications ENUMATH 2019 (Bd. 139). Springer International Publishing. https://doi.org/10.1007/978-3-030-55874-1
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  @inproceedings{buchfink2021experimental, author = {Buchfink, Patrick and Haasdonk, Bernard}, booktitle = {Numerical Mathematics and Advanced Applications ENUMATH 2019}, doi = {10.1007/978-3-030-55874-1}, editor = {Vermolen, Fred J. and Vuik, Cornelis}, isbn = {978-3-030-55873-4}, issn = {1439-7358}, publisher = {Springer International Publishing}, title = {Experimental Comparison of Symplectic and Non-symplectic Model Order Reduction an Uncertainty Quantification Problem}, url = {https://www.springer.com/gp/book/9783030558734}, volume = 139, year = 2021 }
14. Cleyton, R., Moroianu, A., & Semmelmann, U. (2021). Metric connections with parallel skew-symmetric torsion. Adv. Math., 378, 107519, 50. https://doi.org/10.1016/j.aim.2020.107519
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  @article{MR4184296, author = {Cleyton, Richard and Moroianu, Andrei and Semmelmann, Uwe}, doi = {10.1016/j.aim.2020.107519}, fjournal = {Advances in Mathematics}, issn = {0001-8708}, journal = {Adv. Math.}, mrclass = {53B05 (53C25)}, mrnumber = {4184296}, pages = {107519, 50}, title = {Metric connections with parallel skew-symmetric torsion}, url = {https://doi.org/10.1016/j.aim.2020.107519}, volume = 378, year = 2021 }
15. de Rijk, B., & Schneider, G. (2021). Global existence and decay in multi-component reaction-diffusion-advection systems with different velocities: oscillations in time and frequency. NoDEA, Nonlinear Differ. Equ. Appl., 28(1), 38.
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  @article{zbMATH07301270, author = {{de Rijk}, Bj\"orn and {Schneider}, Guido}, fjournal = {{NoDEA. Nonlinear Differential Equations and Applications}}, issn = {1021-9722; 1420-9004/e}, journal = {{NoDEA, Nonlinear Differ. Equ. Appl.}}, language = {English}, msc2010 = {35K57 35K15 35B40 35A01}, note = {Id/No 2}, number = 1, pages = 38, publisher = {Springer (Birkh\"auser), Basel}, title = {{Global existence and decay in multi-component reaction-diffusion-advection systems with different velocities: oscillations in time and frequency}}, volume = 28, year = 2021, zbl = {1456.35109} }
16. de Rijk, B., & Sandstede, B. (2021). Diffusive stability against nonlocalized perturbations of planar wave trains in reaction-diffusion systems. J. Differential Equations, 274, 1223--1261. https://doi.org/10.1016/j.jde.2020.10.027
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  @article{MR4189009, author = {de Rijk, Bj\"{o}rn and Sandstede, Bj\"{o}rn}, doi = {10.1016/j.jde.2020.10.027}, fjournal = {Journal of Differential Equations}, issn = {0022-0396}, journal = {J. Differential Equations}, mrclass = {35K40 (35B10 35B35 35C07 35K57 35K58)}, mrnumber = {4189009}, pages = {1223--1261}, title = {Diffusive stability against nonlocalized perturbations of planar wave trains in reaction-diffusion systems}, url = {https://doi.org/10.1016/j.jde.2020.10.027}, volume = 274, year = 2021 }
17. Düll, W.-P. (2021). Validity of the nonlinear Schrödinger approximation for the two-dimensional water wave problem with and without surface tension in the arc length formulation. Arch. Ration. Mech. Anal., 239(2), 831--914. https://doi.org/10.1007/s00205-020-01586-4
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  @article{MR4201618, author = {D\"{u}ll, Wolf-Patrick}, doi = {10.1007/s00205-020-01586-4}, fjournal = {Archive for Rational Mechanics and Analysis}, issn = {0003-9527}, journal = {Arch. Ration. Mech. Anal.}, mrclass = {76B15}, mrnumber = {4201618}, number = 2, pages = {831--914}, title = {Validity of the nonlinear {S}chr\"{o}dinger approximation for the two-dimensional water wave problem with and without surface tension in the arc length formulation}, url = {https://doi.org/10.1007/s00205-020-01586-4}, volume = 239, year = 2021 }
18. Dürrwächter, J., Meyer, F., Kuhn, T., Beck, A., Munz, C.-D., & Rohde, C. (2021). A high-order stochastic Galerkin code for the compressible Euler and Navier-Stokes equations. Computers & Fluids, 228, 1850044, 20. https://doi.org/10.1016/j.compfluid.2021.105039
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  @article{Duerrwaechter2019, abstract = {We present a Stochastic Galerkin (SG) scheme for Uncertainty Quantification (UQ) of the compressible Navier-Stokes and Euler equations. For spatial discretization, we rely on the high-order Discontinuous Galerkin Spectral Element Method (DGSEM) in combination with an explicit time-stepping scheme. We simulate complex flow problems in two- and three-dimensional domains using curved unstructured hexahedral meshes. The dimension of the stochastic space can be arbitrarily large. In order to treat discontinuities and to ensure hyperbolicity, we employ a multi-element approach in combination with a hyperbolicity-preserving limiter in the stochastic domain and a Finite Volume subcell shock capturing scheme in physical space. Special emphasis is put on code performance and massive parallel scalability. We demonstrate the versatility and broad applicability of our code with various numerical experiments including the supersonic flow around a spacecraft geometry. By this, we wish to contribute to the path of the Stochastic Galerkin method towards practical applicability in research and industrial engineering.}, author = {D{\"u}rrw{\"a}chter, Jakob and Meyer, Fabian and Kuhn, Thomas and Beck, Andrea and Munz, Claus-Dieter and Rohde, Christian}, doi = {10.1016/j.compfluid.2021.105039}, issn = {0045-7930}, journal = {Computers & Fluids}, pages = {1850044, 20}, title = {A high-order stochastic Galerkin code for the compressible Euler and Navier-Stokes equations}, url = {https://www.researchgate.net/profile/Jakob_Duerrwaechter/publication/336702251_A_High-Order_Stochastic_Galerkin_Code_for_the_Compressible_Euler_and_Navier-Stokes_Equations/links/5dadf498299bf111d4bf8ba1/A-High-Order-Stochastic-Galerkin-Code-for-the-Compressible-Euler-and-Navier-Stokes-Equations.pdf}, volume = 228, year = 2021 }
19. Echterdiek, F., Kitterer, D., Dippon, J., Paul, G., Schwenger, V., & Latus, J. (2021). Impact of cardiopulmonary resuscitation on outcome of kidney transplantations from braindead donors aged ≥65 years. Clin Transplant., 2021 Aug 13:, e14452. https://doi.org/10.1111/ctr.14452
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  BibTeX
  @article{echterdiek2021impact, author = {Echterdiek, F. and Kitterer, D. and Dippon, J. and Paul, G. and Schwenger, V. and Latus, J.}, doi = {10.1111/ctr.14452}, journal = {Clin Transplant.}, pages = {e14452}, title = {Impact of cardiopulmonary resuscitation on outcome of kidney transplantations from braindead donors aged ≥65 years. }, volume = {2021 Aug 13:}, year = 2021 }
20. Eggenweiler, E., & Rybak, I. (2021). Effective coupling conditions for arbitrary flows in Stokes-Darcy systems. Multiscale Model. Simul., 19, 731–757. https://doi.org/10.1137/20M1346638
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  BibTeX
  @article{EggenweilerRybak2020, author = {Eggenweiler, E. and Rybak, I.}, doi = {10.1137/20M1346638}, journal = {Multiscale Model. Simul.}, pages = {731-757}, title = {Effective coupling conditions for arbitrary flows in {S}tokes-{D}arcy systems}, volume = 19, year = 2021 }
21. Ehring, T., & Haasdonk, B. (2021). Feedback control for a coupled soft tissue system by kernel surrogates. Coupled Problems 2021, IS11, Article IS11. https://doi.org/10.23967/coupled.2021.026
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  BibTeX
  @inproceedings{ehring2021feedback, author = {Ehring, Tobias and Haasdonk, Bernard}, booktitle = {Coupled Problems 2021}, doi = {10.23967/coupled.2021.026}, number = {IS11}, title = {Feedback control for a coupled soft tissue system by kernel surrogates}, year = 2021 }
22. Ehring, T., & Haasdonk, B. (2021). Greedy sampling and approximation for realizing feedback control for high dimensional nonlinear systems.
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  BibTeX
  @article{ehring2021greedy, author = {Ehring, Tobias and Haasdonk, Bernard}, title = {Greedy sampling and approximation for realizing feedback control for high dimensional nonlinear systems}, year = 2021 }
23. Fiedler, C., Scherer, C. W., & Trimpe, S. (2021). Practical and Rigorous Uncertainty Bounds for Gaussian Process Regression. Proceedings of the AAAI Conference on Artificial Intelligence, 35(8), 7439–7447. https://ojs.aaai.org/index.php/AAAI/article/view/16912
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  BibTeX
  @inproceedings{fiedler2021practical, author = {Fiedler, C. and Scherer, C. W. and Trimpe, S.}, booktitle = {Proceedings of the AAAI Conference on Artificial Intelligence}, number = 8, pages = {7439-7447}, title = {Practical and Rigorous Uncertainty Bounds for Gaussian Process Regression}, url = {https://ojs.aaai.org/index.php/AAAI/article/view/16912}, volume = 35, year = 2021 }
24. Freiberg, U., & Kohl, S. (2021). Box dimension of fractal attractors and their numerical computation. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 95. https://doi.org/10.1016/j.cnsns.2020.105615
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  BibTeX
  @article{WOS:000612163200001, abstract = {The Lorenz attractor is considered which is a well known attractor of a dynamical system. As the Lorenz attractor shows some fractal structure, its box dimension is investigated. A general algorithmic approach is developed which enables us to calculate its box dimension, and special attention will be paid to numerical aspects of the algorithm. The algorithm gets tested with the help of some well known fractals - self-similar fractals and fractal graphs of deterministic as well as random functions. For these examples, the algorithm yields values which are very close to the theoretical values. However, in the case of the Lorenz attractor the algorithm seems to fail. The reason for this phenomenon is discussed, the notion of local box dimension is introduced, and the algorithm is used in order to reveal a hidden multifractal structure of the Lorenz attractor. (C) 2020 Elsevier B.V. All rights reserved.}, address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, affiliation = {Kohl, S (Corresponding Author), Univ Stuttgart, Inst Stochast \& Applicat, Pfaffenwaldring 57, D-70569 Stuttgart, Germany. Freiberg, Uta, Tech Univ Chemnitz, Reichenhainer Str 41, D-09126 Chemnitz, Germany. Kohl, Stefan, Univ Stuttgart, Inst Stochast \& Applicat, Pfaffenwaldring 57, D-70569 Stuttgart, Germany.}, article-number = {105615}, author = {Freiberg, Uta and Kohl, Stefan}, author-email = {uta.freiberg@mathematik.tu-chemnitz.de stefan.kohl@mathematik.uni-stuttgart.de}, da = {2021-08-10}, doc-delivery-number = {PY6OW}, doi = {10.1016/j.cnsns.2020.105615}, eissn = {1878-7274}, issn = {1007-5704}, journal = {COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION}, journal-iso = {Commun. Nonlinear Sci. Numer. Simul.}, language = {English}, month = {04}, number-of-cited-references = {11}, publisher = {ELSEVIER}, research-areas = {Mathematics; Mechanics; Physics}, times-cited = {0}, title = {Box dimension of fractal attractors and their numerical computation}, type = {Article}, unique-id = {WOS:000612163200001}, usage-count-last-180-days = {2}, usage-count-since-2013 = {2}, volume = 95, web-of-science-categories = {Mathematics, Applied; Mathematics, Interdisciplinary Applications; Mechanics; Physics, Fluids \& Plasmas; Physics, Mathematical}, year = 2021 }
25. Gander, M., Lunowa, S., & Rohde, C. (2021). Consistent and asymptotic-preserving finite-volume domain decomposition methods for singularly perturbed elliptic equations. Domain Decomposition Methods in Science and Engineering XXVI. http://www.uhasselt.be/Documents/CMAT/Preprints/2021/UP2103.pdf
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  BibTeX
  @inproceedings{GanderLunowaRohde2021, author = {Gander, Martin and Lunowa, Stephan and Rohde, Christian}, booktitle = {Domain Decomposition Methods in Science and Engineering XXVI}, publisher = {Lect. Notes Comput. Sci. Eng., Springer, Cham }, title = {Consistent and asymptotic-preserving finite-volume domain decomposition methods for singularly perturbed elliptic equations}, url = {http://www.uhasselt.be/Documents/CMAT/Preprints/2021/UP2103.pdf}, year = 2021 }
26. Geck, M. (2021). Generalised Gelfand-Graev representations in bad characteristic? Transformation Groups, 26(1), 305--326. https://doi.org/10.1007/s00031-020-09575-3
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  BibTeX
  @article{GECK2021, abstract = {Let G be a connected reductive algebraic group defined over a finite field with q elements. In the 1980's, Kawanaka introduced generalised Gelfand--Graev representations of the finite group {\$}{\$} G{\backslash}left({\{}{\backslash}mathbbm{\{}F{\}}{\}}{\_}q{\backslash}right) {\$}{\$}, assuming that q is a power of a good prime for G. These representations have turned out to be extremely useful in various contexts. Here we investigate to what extent Kawanaka's construction can be carried out when we drop the assumptions on q. As a curious by-product, we obtain a new, conjectural characterisation of Lusztig's concept of special unipotent classes of G in terms of weighted Dynkin diagrams.}, author = {Geck, Meinolf}, day = 01, doi = {10.1007/s00031-020-09575-3}, issn = {1531-586X}, journal = {Transformation Groups}, month = {03}, number = 1, pages = {305--326}, title = {Generalised Gelfand-Graev representations in bad characteristic?}, url = {https://doi.org/10.1007/s00031-020-09575-3}, volume = 26, year = 2021 }
27. Giesselmann, J., Meyer, F., & Rohde, C. (2021). Error control for statistical solutions of hyperbolic systems of conservation laws. Calcolo, 58(2), Paper No. 23, 29. https://doi.org/10.1007/s10092-021-00417-6
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  BibTeX
  @article{GMR21, author = {Giesselmann, Jan and Meyer, Fabian and Rohde, Christian}, doi = {10.1007/s10092-021-00417-6}, journal = {Calcolo}, number = 2, pages = {Paper No. 23, 29}, title = {Error control for statistical solutions of hyperbolic systems of conservation laws}, url = {https://doi.org/10.1007/s10092-021-00417-6}, volume = 58, year = 2021 }
28. Girardi, G., & Wirth, J. (2021). Decay Estimates for a Klein-Gordon Model with Time-Periodic Coeffizients. In M. Cicognani, D. del Santo, A. Parmeggiani, & M. Reissig (Hrsg.), Anomalies in Partial Differential Equations (Bd. 43). Springer. https://doi.org/10.1007/978-3-030-61346-4_14
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  BibTeX
  @incollection{girardi2021decay, author = {Girardi, Giovanni and Wirth, Jens}, booktitle = {Anomalies in Partial Differential Equations}, chapter = 14, doi = {10.1007/978-3-030-61346-4_14}, editor = {Cicognani, Massimo and del Santo, Daniele and Parmeggiani, Alberto and Reissig, Michael}, isbn = {978-3-030-61346-4}, publisher = {Springer}, series = {INdAM Series}, title = {Decay Estimates for a Klein-Gordon Model with Time-Periodic Coeffizients}, volume = 43, year = 2021 }
29. Haasdonk, B., Hamzi, B., Santin, G., & Wittwar, D. (2021). Kernel methods for center manifold approximation and a weak data-based version of the center manifold theorem. Phys. D, 427, Paper No. 133007, 14. https://doi.org/10.1016/j.physd.2021.133007
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  BibTeX
  @article{MR4311547, author = {Haasdonk, B. and Hamzi, B. and Santin, G. and Wittwar, D.}, doi = {10.1016/j.physd.2021.133007}, fjournal = {Physica D. Nonlinear Phenomena}, issn = {0167-2789}, journal = {Phys. D}, mrclass = {37M21}, mrnumber = {4311547}, pages = {Paper No. 133007, 14}, title = {Kernel methods for center manifold approximation and a weak data-based version of the center manifold theorem}, url = {https://doi.org/10.1016/j.physd.2021.133007}, volume = 427, year = 2021 }
30. Haasdonk, B. (2021). Model Order Reduction, Applications, MOR Software (D. Gruyter, Hrsg.; Bd. 3). De Gruyter. https://doi.org/10.1515/9783110499001
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  BibTeX
  @inbook{gruyter2021software, author = {Haasdonk, Bernard}, doi = {10.1515/9783110499001}, editor = {Gruyter, De}, isbn = {978-3-11-050044-8}, publisher = {De Gruyter}, title = {Model Order Reduction, Applications, MOR Software}, volume = 3, year = 2021 }
31. Haasdonk, B., Ohlberger, M., & Schindler, F. (2021). An adaptive model hierarchy for data-augmented training of kernel models for reactive flow. arXiv. https://doi.org/10.48550/ARXIV.2110.12388
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  BibTeX
  @misc{https://doi.org/10.48550/arxiv.2110.12388, author = {Haasdonk, Bernard and Ohlberger, Mario and Schindler, Felix}, copyright = {arXiv.org perpetual, non-exclusive license}, doi = {10.48550/ARXIV.2110.12388}, publisher = {arXiv}, title = {An adaptive model hierarchy for data-augmented training of kernel models for reactive flow}, url = {https://arxiv.org/abs/2110.12388}, year = 2021 }
32. Haasdonk, B., Wenzel, T., Santin, G., & Schmitt, S. (2021). Biomechanical Surrogate Modelling Using Stabilized Vectorial Greedy Kernel Methods.
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  BibTeX
  @article{noauthororeditor, author = {Haasdonk, Bernard and Wenzel, Tizian and Santin, Gabriele and Schmitt, Syn}, title = {Biomechanical Surrogate Modelling Using Stabilized Vectorial Greedy Kernel Methods}, year = 2021 }
33. Hahn, B. N., Kienle-Garrido, M. L., & Quinto, E. T. (2021). Microlocal properties of dynamic Fourier integral operators. https://doi.org/10.1007/978-3-030-57784-1_4
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  BibTeX
  @article{hahn2021microlocal, author = {Hahn, B.N. and Kienle-Garrido, M. L. and Quinto, E.T.}, doi = {10.1007/978-3-030-57784-1_4}, title = {Microlocal properties of dynamic Fourier integral operators}, url = {http://dx.doi.org/10.1007/978-3-030-57784-1_4}, year = 2021 }
34. Hahn, B. N. (2021). Motion compensation strategies in tomography. https://doi.org/10.1007/978-3-030-57784-1_3
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  BibTeX
  @article{hahn2021motion, author = {Hahn, B.N.}, doi = {10.1007/978-3-030-57784-1_3}, title = {Motion compensation strategies in tomography}, url = {http://dx.doi.org/10.1007/978-3-030-57784-1_3}, year = 2021 }
35. Hamm, T., & Steinwart, I. (2021). Adaptive Learning Rates for Support Vector Machines Working on Data with Low Intrinsic Dimension. Ann. Statist.
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  BibTeX
  @article{HaStYYa, author = {Hamm, T. and Steinwart, I.}, journal = {Ann. Statist.}, note = {\url{https://arxiv.org/abs/2003.06202}}, title = {Adaptive Learning Rates for Support Vector Machines Working on Data with Low Intrinsic Dimension}, year = 2021 }
36. Hamm, T., & Steinwart, I. (2021). Intrinsic Dimension Adaptive Partitioning for Kernel Methods. Fakultät für Mathematik und Physik, Universität Stuttgart.
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  BibTeX
  @techreport{HaStXXa, author = {Hamm, T. and Steinwart, I.}, institution = {Fakult{\"a}t f{\"u}r Mathematik und Physik, Universit{\"at} Stuttgart}, note = {\url{https://arxiv.org/abs/2107.07750}}, title = {Intrinsic Dimension Adaptive Partitioning for Kernel Methods}, year = 2021 }
37. Hang, H., & Steinwart, I. (2021). Optimal Learning with Anisotropic Gaussian SVMs. Appl. Comput. Harmon. Anal., 55, 337–367. https://doi.org/10.1016/j.acha.2021.06.004
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  BibTeX
  @article{HaSt21a, author = {Hang, H. and Steinwart, I.}, doi = {http://doi.org/10.1016/j.acha.2021.06.004}, journal = {Appl. Comput. Harmon. Anal.}, note = {\url{https://arxiv.org/abs/1810.02321}}, number = 55, pages = {337-367}, title = {Optimal Learning with Anisotropic {G}aussian {SVM}s}, year = 2021 }
38. Hilder, B. (2021). Nonlinear stability of fast invading fronts in a Ginzburg–Landau equation with an additional conservation law. Nonlinearity, 34(8), 5538--5575. https://doi.org/10.1088/1361-6544/abd612
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  BibTeX
  @article{Hilder_2021, author = {Hilder, Bastian}, doi = {10.1088/1361-6544/abd612}, journal = {Nonlinearity}, month = {07}, number = 8, pages = {5538--5575}, publisher = {{IOP} Publishing}, title = {Nonlinear stability of fast invading fronts in a Ginzburg{\textendash}Landau equation with an additional conservation law}, url = {https://doi.org/10.1088%2F1361-6544%2Fabd612}, volume = 34, year = 2021 }
39. Holicki, T., & Scherer, C. W. (2021). Algorithm Design and Extremum Control: Convex Synthesis due to Plant Multiplier Commutation. Proc. 60th IEEE Conf. Decision and Control, 3249–3256. https://doi.org/10.1109/CDC45484.2021.9683012
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  BibTeX
  @inproceedings{noauthororeditor, abstract = {A novel convex state-space solution to the robust output-feedback synthesis problem based on dynamic integral quadratic constraints for a particular class of systems is presented. Convexification rests upon the assumption that the control-to-uncertainty block in the generalized plant commutes with the off-diagonal block of the multiplier. We demonstrate that this commutation property is valid for several by themselves interesting concrete scenarios, such as in extremum control, a generalization of the convex design of first-order optimization algorithms involving filtered gradient evaluations.}, author = {Holicki, T. and Scherer, C. W.}, booktitle = {Proc. 60th IEEE Conf. Decision and Control}, doi = {10.1109/CDC45484.2021.9683012}, pages = {3249-3256}, title = {Algorithm Design and Extremum Control: Convex Synthesis due to Plant Multiplier Commutation}, url = {https://doi.org/10.1109/CDC45484.2021.9683012}, year = 2021 }
40. Holicki, T., Scherer, C. W., & Trimpe, S. (2021). Controller Design via Experimental Exploration with Robustness Guarantees. IEEE Control Syst. Lett., 5(2), 641–646. https://doi.org/10.1109/LCSYS.2020.3004506
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  BibTeX
  @article{holicki2020controller, abstract = {For a partially unknown linear systems, we present a systematic control design approach based on generated data from measurements of closed-loop experiments with suitable test controllers. These experiments are used to improve the achieved performance and to reduce the uncertainty about the unknown parts of the system. This is achieved through a parametrization of auspicious controllers with convex relaxation techniques from robust control, which guarantees that their implementation on the unknown plant is safe. This approach permits to systematically incorporate available prior knowledge about the system by employing the framework of linear fractional representations.}, author = {Holicki, T. and Scherer, C. W. and Trimpe, S.}, doi = {10.1109/LCSYS.2020.3004506}, journal = {IEEE Control Syst. Lett.}, number = 2, pages = {641 - 646}, title = {Controller Design via Experimental Exploration with Robustness Guarantees}, url = {https://doi.org/10.1109/LCSYS.2020.3004506}, volume = 5, year = 2021 }
41. Holicki, T., & Scherer, C. W. (2021). Robust Gain-Scheduled Estimation with Dynamic D-Scalings. IEEE Trans. Autom. Control. https://doi.org/10.1109/TAC.2021.3052751
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  BibTeX
  @article{holicki2021robust, abstract = {We provide a convex solution to the robust gain-scheduled estimation problem based on integral quadratic constraints with dynamic D-scalings for both the uncertain and the scheduled component. This closes an important gap since so far merely static scalings or multipliers could be used for the scheduled component in estimation problems. To this end, we provide novel synthesis criteria in terms of linear matrix inequalities for the design of nominal gain-scheduled estimators which allow for a direct combination with available results on robust estimation. We illustrate the benefit of our design approach by means of a numerical example.}, author = {Holicki, T. and Scherer, C. W.}, doi = {10.1109/TAC.2021.3052751}, journal = {IEEE Trans. Autom. Control}, title = {Robust Gain-Scheduled Estimation with Dynamic D-Scalings}, year = 2021 }
42. Holicki, T., & Scherer, C. W. (2021). Revisiting and Generalizing the Dual Iteration for Static and Robust Output-Feedback Synthesis. Int. J. Robust Nonlin., 1–33. https://doi.org/10.1002/rnc.5547
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  BibTeX
  @article{holicki2020revisiting, abstract = {The dual iteration was introduced in a conference paper in 1997 by Iwasaki as an iterative and heuristic procedure for the challenging and non-convex design of static output-feedback controllers. We recall in detail its essential ingredients and go beyond the work of Iwasaki by demonstrating that the framework of linear fractional representations allows for a seamless extension the dual iteration to output-feedback designs of tremendous practical relevance such as the design of robust or robust gain-scheduled controllers. In the paper of Iwasaki the dual iteration is solely based on, and motivated by algebraic manipulations resulting from the elimination lemma. We provide a novel control theoretic interpretation of the individual steps, which paves the way for further generalizations of the powerful scheme to situations where the elimination lemma is not applicable. Exemplary, we extend the dual iteration to the multi-objective design of static output-feedback H∞-controllers, which guarantee that the closed-loop poles are contained in an a priori specified generalized stability region. We demonstrate the approach with numerous numerical examples inspired from the literature.}, author = {Holicki, Tobias and Scherer, Carsten W.}, doi = {10.1002/rnc.5547}, journal = {Int. J. Robust Nonlin.}, pages = {1-33}, title = {Revisiting and Generalizing the Dual Iteration for Static and Robust Output-Feedback Synthesis}, url = {https://doi.org/10.1002/rnc.5547}, year = 2021 }
43. Hsiao, G. C., & Wendland, W. L. (2021). Boundary integral equations. In Applied Mathematical Sciences (Bd. 164, S. xx+783). Springer, Cham. https://doi.org/10.1007/978-3-030-71127-6
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  BibTeX
  @book{MR4248008, author = {Hsiao, George C. and Wendland, Wolfgang L.}, doi = {10.1007/978-3-030-71127-6}, isbn = {978-3-030-71127-6; 978-3-030-71126-9}, mrclass = {45-02 (35A08 35J05 35S05 47G10 65-02)}, mrnumber = {4248008}, note = {Second edition [of 2441884]}, pages = {xx+783}, publisher = {Springer, Cham}, series = {Applied Mathematical Sciences}, title = {Boundary integral equations}, url = {https://doi.org/10.1007/978-3-030-71127-6}, volume = 164, year = 2021 }
44. Aufgaben und Lösungen zur Höheren Mathematik 1. (2021). In K. V. Höllig & J. V. Hörner (Hrsg.), Springer eBook Collection (3rd ed. 2021.). https://doi.org/10.1007/978-3-662-63181-2
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  BibTeX
  @book{hollig2021aufgaben, abstract = {I Mathematische Grundlagen. Elementare Logik -- Mengen und Abbildungen -- Kombinatorik und Wahrscheinlichkeit -- Komplexe Zahlen -- II Vektorrechnung. Vektoren -- Längen, Winkel und Skalarprodukt -- Vektor- und Spatprodukt -- Geraden und Ebenen -- III Differentialrechnung. Polynome und rationale Funktionen -- Exponentialfunktion, Logarithmus und trigonometrische Funktionen -- Grenzwerte, Reihen und Stetigkeit -- Differentiationsregeln und Anwendungen -- Taylor-Entwicklung -- Extremwerte und Funktionsuntersuchung -- IV Integralrechnung. Integral und Stammfunktion -- Partielle Integration, Substitution und spezielle Integranden -- Uneigentliche Integrale -- V Anwendung mathematischer Software. MATLAB® -- Maple™. VI. Formelsammlung. Mathematische Grundlagen -- Vektorrechnung -- Differentialrechnung -- Integralrechnung. Literaturverzeichnis. }, address = {Springer Berlin Heidelberg}, annote = {1 Online-Ressource(XIV, 290 Seiten 62 Abb., 29 Abb. in Farbe.)}, booktitle = {Springer eBook Collection}, edition = {3rd ed. 2021.}, editor = {Höllig, Klaus [Verfasser/in] and Hörner, Jörg [Verfasser/in]}, howpublished = {Berlin, Heidelberg}, isbn = {9783662631812}, title = {Aufgaben und Lösungen zur Höheren Mathematik 1}, url = {https://doi.org/10.1007/978-3-662-63181-2}, year = 2021 }
45. Jentsch, T., & Weingart, G. (2021). Jacobi relations on naturally reductive spaces. ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 59(1), 109–156. https://doi.org/10.1007/s10455-020-09740-7
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  BibTeX
  @article{WOS:000584943800001, abstract = {Naturally reductive spaces, in general, can be seen as an adequate generalization of Riemannian symmetric spaces. Nevertheless, there are some that are closer to symmetric spaces than others. On the one hand, there is the series of Hopf fibrations over complex space forms, including the Heisenberg groups with their metrics of type H. On the other hand, there exist certain naturally reductive spaces in dimensions 6 and 7 whose torsion forms have a distinguished algebraic property. All these spaces generalize geometric or algebraic properties of three-dimensional naturally reductive spaces and have the following point in common: along every geodesic, the Jacobi operator satisfies an ordinary differential equation with constant coefficients which can be chosen independently of the given geodesic.}, address = {VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS}, affiliation = {Jentsch, T (Corresponding Author), Univ Stuttgart, Fachbereich Math, Inst Geometr \& Topol, Lehrstuhl Geometr, Pfaffenwaldring 57, D-70569 Stuttgart, Germany. Jentsch, Tillmann, Univ Stuttgart, Fachbereich Math, Inst Geometr \& Topol, Lehrstuhl Geometr, Pfaffenwaldring 57, D-70569 Stuttgart, Germany. Weingart, Gregor, Univ Nacl Autonoma Mexico, Inst Matemat, Unidad Cuernavaca, Ave Univ S-N, Cuernavaca 62210, Morelos, Mexico.}, author = {Jentsch, Tillmann and Weingart, Gregor}, doi = {10.1007/s10455-020-09740-7}, journal = {ANNALS OF GLOBAL ANALYSIS AND GEOMETRY}, language = {English}, month = {02}, number = 1, pages = {109-156}, publisher = {SPRINGER}, title = {Jacobi relations on naturally reductive spaces}, type = {Article}, volume = 59, year = 2021 }
46. Kohr, M., Mikhailov, S. E., & Wendland, W. L. (2021). Layer potential theory for the anisotropic Stokes system with variable L∞ symmetrically elliptic tensor coefficient. Math. Methods Appl. Sci., 44(12), 9641--9674. https://doi.org/10.1002/mma.7167
  - BibTeX
  BibTeX
  @article{MR4284808, author = {Kohr, Mirela and Mikhailov, Sergey E. and Wendland, Wolfgang L.}, doi = {10.1002/mma.7167}, fjournal = {Mathematical Methods in the Applied Sciences}, issn = {0170-4214}, journal = {Math. Methods Appl. Sci.}, mrclass = {35Q30 (76D07)}, mrnumber = {4284808}, number = 12, pages = {9641--9674}, title = {Layer potential theory for the anisotropic {S}tokes system with variable L∞ symmetrically elliptic tensor coefficient}, url = {https://doi.org/10.1002/mma.7167}, volume = 44, year = 2021 }
47. Kohr, M., Mikhailov, S. E., & Wendland, W. L. (2021). Dirichlet and transmission problems for anisotropic Stokes and Navier-Stokes systems with L∞ tensor coefficient under relaxed ellipticity condition. Discrete Contin. Dyn. Syst., 41(9), 4421--4460. https://doi.org/10.3934/dcds.2021042
  - BibTeX
  BibTeX
  @article{MR4256469, author = {Kohr, Mirela and Mikhailov, Sergey E. and Wendland, Wolfgang L.}, doi = {10.3934/dcds.2021042}, fjournal = {Discrete and Continuous Dynamical Systems. Series A}, issn = {1078-0947}, journal = {Discrete Contin. Dyn. Syst.}, mrclass = {35Q30 (35J57 46E35 76D03 76D05 76D07)}, mrnumber = {4256469}, number = 9, pages = {4421--4460}, title = {Dirichlet and transmission problems for anisotropic {S}tokes and {N}avier-{S}tokes systems with L∞ tensor coefficient under relaxed ellipticity condition}, url = {https://doi.org/10.3934/dcds.2021042}, volume = 41, year = 2021 }
48. Kohr, M., Mikhailov, S. E., & Wendland, W. L. (2021). Layer potential theory for the anisotropic Stokes system with variable L∞ symmetrically elliptic tensor coeffici. Math. Methods Appl. Sci., 44(12), 9641--9674. https://doi.org/10.1002/mma.7167
  - BibTeX
  BibTeX
  @article{MR4284808, author = {Kohr, Mirela and Mikhailov, Sergey E. and Wendland, Wolfgang L.}, doi = {10.1002/mma.7167}, fjournal = {Mathematical Methods in the Applied Sciences}, issn = {0170-4214}, journal = {Math. Methods Appl. Sci.}, mrclass = {35Q30 (76D07)}, mrnumber = {4284808}, number = 12, pages = {9641--9674}, title = {Layer potential theory for the anisotropic {S}tokes system with variable L∞ symmetrically elliptic tensor coeffici}, url = {https://doi.org/10.1002/mma.7167}, volume = 44, year = 2021 }
49. Kollross, A. (2021). Polar actions on Damek-Ricci spaces. Differential Geometry and its Applications, 76, 101753. https://doi.org/10.1016/j.difgeo.2021.101753
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  BibTeX
  @article{Kollross_2021, abstract = {A proper isometric Lie group action on a Riemannian manifold is called polar if there exists a closed connected submanifold which meets all orbits orthogonally. In this article we study polar actions on Damek-Ricci spaces. We prove criteria for isometric actions on Damek-Ricci spaces to be polar, find examples and give some partial classifications of polar actions on Damek-Ricci spaces. In particular, we show that non-trivial polar actions exist on all Damek-Ricci spaces.}, author = {Kollross, Andreas}, doi = {10.1016/j.difgeo.2021.101753}, journal = {Differential Geometry and its Applications}, month = {06}, pages = 101753, publisher = {Elsevier {BV}}, title = {Polar actions on Damek-Ricci spaces}, url = {https://doi.org/10.1016%2Fj.difgeo.2021.101753}, volume = 76, year = 2021 }
50. Krämer, A., Maier, B., Rau, T., Huber, F., Klotz, T., Ertl, T., Göddeke, D., Mehl, M., Reina, G., & Röhrle, O. (2021). Multi-physics multi-scale HPC simulations of skeletal muscles. In W. E. Nagel, D. H. Kröner, & M. M. Resch (Hrsg.), High Performance Computing in Science and Engineering ’20: Transactions of the High Performance Computing Center, Stuttgart(HLRS) 2020. https://doi.org/10.1007/978-3-030-80602-6_13
  - BibTeX
  BibTeX
  @incollection{Kraemer:2021:MPM, author = {Kr{\"a}mer, Aaron and Maier, Benjamin and Rau, Tobias and Huber, Felix and Klotz, Thomas and Ertl, Thomas and G{\"o}ddeke, Dominik and Mehl, Miriam and Reina, Guido and R{\"o}hrle, Oliver}, booktitle = {High Performance Computing in Science and Engineering '20: Transactions of the High Performance Computing Center, Stuttgart(HLRS) 2020}, chapter = 13, doi = {10.1007/978-3-030-80602-6_13}, editor = {Nagel, Wolfgang E. and Kr{\"o}ner, Dietmar H. and Resch, Michael M.}, title = {Multi-physics multi-scale {HPC} simulations of skeletal muscles}, year = 2021 }
51. Krämer, A., Maier, B., Rau, T., Huber, F., Klotz, T., Ertl, T., Göddeke, D., Mehl, M., Reina, G., & Röhrle, O. (2021). High Performance Computing in Science and Engineering 20 (W. E. Nagel, D. H. Kröner, & M. M. Resch, Hrsg.). Springer. https://doi.org/10.1007/978-3-030-80602-6_13
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  @book{kramer2021performance, abstract = {We present a highly scalable framework for the simulation of skeletal muscles as a neuromuscular system. Our work is based on previous implementations of a complex model coupling different physical phenomena on different temporal and spatial scales, in particular bio-chemical processes on the cellular level (as ordinary differential equations), electrical signal propagation along muscle fibers (as many one-dimensional diffusion equations), and the EMG signal in the three-dimensional muscle at organ scale. Our contribution is a new software toolbox that allows to generate simulation code suited for the execution on a supercomputer from the commonly used XML-based model-description used in the respective community. We present different variants of this code generation for CPUs, specific optimizations for our muscle model, and our in situ visualization approach that allows us to minimize data transfer between simulation, and the visualization front-end (such as the Powerwall at VISUS (https://www.visus.uni-stuttgart.de/)) along with results for numerical experiments on up to approximately seven thousand cores of the CRAY XC40 system Hazel Hen (https://www.hlrs.de/systems/cray-xc40-hazel-hen/) for more than 180,000 muscle fibers. The original implementation was limited to 4 cores. Compared to our previous work in [4], we further enhanced scalability, but in particular also node-level performance.}, author = {Krämer, Aaron and Maier, Benjamin and Rau, Tobias and Huber, Felix and Klotz, Thomas and Ertl, Thomas and Göddeke, Dominik and Mehl, Miriam and Reina, Guido and Röhrle, Oliver}, doi = {10.1007/978-3-030-80602-6_13}, editor = {Nagel, Wolfgang E. and Kröner, Dietmar H. and Resch, Michael M.}, isbn = {978-3-030-80602-6}, publisher = {Springer}, title = {High Performance Computing in Science and Engineering 20}, year = 2021 }
52. Kühnert, J., Göddeke, D., & Herschel, M. (2021, Juli). Provenance-integrated parameter selection and optimization in numerical simulations. 13th International Workshop on Theory and Practice ofProvenance (TaPP 2021). https://www.usenix.org/conference/tapp2021/presentation/kühnert
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  @inproceedings{Kuehnert:2021:PIP, author = {K{\"u}hnert, Julia and G{\"o}ddeke, Dominik and Herschel, Melanie}, booktitle = {13th International Workshop on Theory and Practice ofProvenance (TaPP 2021)}, month = {07}, publisher = {{USENIX} Association}, title = {Provenance-integrated parameter selection and optimization in numerical simulations}, url = {https://www.usenix.org/conference/tapp2021/presentation/k{\"u}hnert}, year = 2021 }
53. Lang, R. (2021). On the eigenvalues of the non-self-adjoint Robin Laplacian on bounded domains and compact quantum graphs. [Dissertation, Universität Stuttgart]. https://doi.org/10.18419/opus-11428
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  @phdthesis{lang2021eigenvalues, address = {Stuttgart}, author = {Lang, Robin}, doi = {10.18419/opus-11428}, eventdate = {2020-12-01}, language = {English}, school = {Universität Stuttgart}, supervisor = {Weidl, Timo}, supervisorgnd = {1095129147}, title = {On the eigenvalues of the non-self-adjoint Robin Laplacian on bounded domains and compact quantum graphs.}, type = {Dissertation}, year = 2021 }
54. Leiteritz, R., Buchfink, P., Haasdonk, B., & Pflüger, D. (2021). Surrogate-data-enriched Physics-Aware Neural Networks.
  - BibTeX
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  @misc{leiteritz2021surrogatedataenriched, archiveprefix = {arXiv}, author = {Leiteritz, Raphael and Buchfink, Patrick and Haasdonk, Bernard and Pflüger, Dirk}, eprint = {2112.05489}, primaryclass = {cs.LG}, title = {Surrogate-data-enriched Physics-Aware Neural Networks}, year = 2021 }
55. Magiera, J. (2021). A Molecular--Continuum Multiscale Solver for Liquid--Vapor Flow. Small Collaboration: Advanced Numerical Methods for Nonlinear Hyperbolic Balance Laws and Their Applications (hybrid meeting), 41. https://doi.org/10.14760/OWR-2021-41
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  @inproceedings{magiera:oberwolfach:2021, author = {Magiera, Jim}, booktitle = {Small Collaboration: Advanced Numerical Methods for Nonlinear Hyperbolic Balance Laws and Their Applications (hybrid meeting)}, doi = {10.14760/OWR-2021-41}, fullseries = {Oberwolfach Reports}, langid = {english}, note = {Abstracts from the mini-workshop held 29 Aug -- 4 Sep 2021, Organized by Song Jiang, Jiequan Li, Maria Lukacova, Gerald Warnecke}, series = {Oberwolfach Rep.}, shortseries = {Oberwolfach Rep.}, title = {A Molecular--Continuum Multiscale Solver for Liquid--Vapor Flow}, url = {http://publications.mfo.de/handle/mfo/3891}, volume = 41, year = 2021 }
56. Magiera, J. (2021). A Molecular--Continuum Multiscale Solver for Liquid--Vapor Flow: Modeling and Numerical Simulation [Ph.D. Thesis]. https://doi.org/10.18419/opus-11797
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  BibTeX
  @phdthesis{magiera:phdthesis:2021, author = {Magiera, Jim}, doi = {10.18419/opus-11797}, institution = {University of Stuttgart}, langid = {english}, title = {A Molecular--Continuum Multiscale Solver for Liquid--Vapor Flow: Modeling and Numerical Simulation}, type = {Ph.D. Thesis}, year = 2021 }
57. Makogin, V., Oesting, M., Rapp, A., & Spodarev, E. (2021). Long range dependence for stable random processes. J. Time Series Anal., 42(2), 161--185. https://doi.org/10.1111/jtsa.12560
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  @article{MR4303043, author = {Makogin, Vitalii and Oesting, Marco and Rapp, Albert and Spodarev, Evgeny}, doi = {10.1111/jtsa.12560}, fjournal = {Journal of Time Series Analysis}, issn = {0143-9782}, journal = {J. Time Series Anal.}, mrclass = {60G10 (60G52 60G70)}, mrnumber = {4303043}, number = 2, pages = {161--185}, title = {Long range dependence for stable random processes}, url = {https://doi.org/10.1111/jtsa.12560}, volume = 42, year = 2021 }
58. Miao, Y., Rohde, C., & Tang, H. (2021). Well-posedness for a stochastic Camassa-Holm type equation with higher order nonlinearities. https://arxiv.org/abs/2105.08607
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  @misc{miao2021wellposedness, archiveprefix = {arXiv}, author = {Miao, Yingting and Rohde, Christian and Tang, Hao}, eprint = {2105.08607}, primaryclass = {math.AP}, title = {Well-posedness for a stochastic Camassa-Holm type equation with higher order nonlinearities}, url = {https://arxiv.org/abs/2105.08607}, year = 2021 }
59. Nonnenmacher, M., Reeb, D., & Steinwart, I. (2021). Which Minimizer Does My Neural Network Converge To? In N. Oliver, F. Pérez-Cruz, S. Kramer, J. Read, & J. A. Lozano (Hrsg.), Joint European Conference on Machine Learning and Knowledge Discovery in Databases (S. 87--102). Springer International Publishing. https://doi.org/10.1007/978-3-030-86523-8_6
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  @inproceedings{NoReSt21a, address = {Cham}, author = {Nonnenmacher, M. and Reeb, D. and Steinwart, I.}, booktitle = {Joint European Conference on Machine Learning and Knowledge Discovery in Databases}, doi = {https://doi.org/10.1007/978-3-030-86523-8_6}, editor = {Oliver, N. and P{\'e}rez-Cruz, F. and Kramer, S. and Read, J. and Lozano, J.A.}, note = {\url{https://arxiv.org/abs/2011.02408}}, pages = {87--102}, publisher = {Springer International Publishing}, title = {Which Minimizer Does My Neural Network Converge To?}, year = 2021 }
60. Osorno, M., Schirwon, M., Kijanski, N., Sivanesapillai, R., Steeb, H., & Göddeke, D. (2021). A cross-platform, high-performance SPH toolkit for image-based flow simulations on the pore scale of porous media. Computer Physics Communications, 267(108059), Article 108059. https://doi.org/10.1016/j.cpc.2021.108059
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  @article{Osorno:2021:ACP, author = {Osorno, Maria and Schirwon, Malte and Kijanski, Nadine and Sivanesapillai, Rakulan and Steeb, Holger and G{\"o}ddeke, Dominik}, doi = {10.1016/j.cpc.2021.108059}, journal = {Computer Physics Communications}, month = {10}, number = 108059, title = {A cross-platform, high-performance {SPH} toolkit for image-based flow simulations on the pore scale of porous media}, volume = 267, year = 2021 }
61. Rohde, C., & von Wolff, L. (2021). A Ternary Cahn-Hilliard-Navier-Stokes model for two phase flow with precipitation and dissolution. Math. Models Methods Appl. Sci., 31(1), 1--35. https://doi.org/10.1142/S0218202521500019
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  @article{MR4216046, author = {Rohde, Christian and von Wolff, Lars}, doi = {10.1142/S0218202521500019}, fjournal = {Mathematical Models and Methods in Applied Sciences}, issn = {0218-2025}, journal = {Math. Models Methods Appl. Sci.}, mrclass = {76D05 (35C20 35Q35 35R35 76D45 76T99)}, mrnumber = {4216046}, number = 1, pages = {1--35}, title = {A Ternary Cahn-Hilliard-Navier-Stokes model for two phase flow with precipitation and dissolution}, url = {https://doi.org/10.1142/S0218202521500019}, volume = 31, year = 2021 }
62. Rohde, C., & Tang, H. (2021). On the stochastic Dullin-Gottwald-Holm equation: global existence and wave-breaking phenomena. NoDEA Nonlinear Differential Equations Appl., 28(1), Paper No. 5, 34. https://doi.org/10.1007/s00030-020-00661-9
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  @article{MR4192427, author = {Rohde, Christian and Tang, Hao}, doi = {10.1007/s00030-020-00661-9}, fjournal = {NoDEA. Nonlinear Differential Equations and Applications}, issn = {1021-9722}, journal = {NoDEA Nonlinear Differential Equations Appl.}, mrclass = {60H15 (35A01 35B44 35Q51)}, mrnumber = {4192427}, number = 1, pages = {Paper No. 5, 34}, title = {On the stochastic Dullin-Gottwald-Holm equation: global existence and wave-breaking phenomena}, url = {https://doi.org/10.1007/s00030-020-00661-9}, volume = 28, year = 2021 }
63. Rohde, C., & Tang, H. (2021). On a stochastic Camassa-Holm type equation with higher order nonlinearities. J. Dynam. Differential Equations, 33, 1823–1852. https://doi.org/10.1007/s10884-020-09872-1
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  @article{rohde2020stochastic, archiveprefix = {arXiv}, author = {Rohde, Christian and Tang, Hao}, doi = {https://doi.org/10.1007/s10884-020-09872-1}, eprint = {2001.05754}, journal = {J. Dynam. Differential Equations}, pages = {1823–1852}, primaryclass = {math.AP}, title = {On a stochastic Camassa-Holm type equation with higher order nonlinearities}, volume = 33, year = 2021 }
64. Rybak, I., Schwarzmeier, C., Eggenweiler, E., & Rüde, U. (2021). Validation and calibration of coupled porous-medium and free-flow problems using pore-scale resolved models. Comput. Geosci., 25, 621–635. https://doi.org/10.1007/s10596-020-09994-x
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  @article{Rybak_etal_19, author = {Rybak, I. and Schwarzmeier, C. and Eggenweiler, E. and R\"{u}de, U.}, doi = {10.1007/s10596-020-09994-x}, journal = {Comput. Geosci. }, pages = {621-635}, title = {Validation and calibration of coupled porous-medium and free-flow problems using pore-scale resolved models}, volume = 25, year = 2021 }
65. Rörich, A., Werthmann, T. A., Göddeke, D., & Grasedyck, L. (2021). Bayesian inversion for electromyography using low-rank tensor formats. Inverse Problems, 37(5), 055003. https://doi.org/10.1088/1361-6420/abd85a
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  @article{Roerich:2021:BIF, author = {R{\"o}rich, Anna and Werthmann, Tim A. and G{\"o}ddeke, Dominik and Grasedyck, Lars}, doi = {10.1088/1361-6420/abd85a}, journal = {Inverse Problems}, month = {03}, number = 5, pages = 055003, title = {{B}ayesian inversion for electromyography using low-rank tensor formats}, volume = 37, year = 2021 }
66. Santin, G., & Haasdonk, B. (2021). Kernel methods for surrogate modeling. In P. Benner, W. Schilders, S. Grivet-Talocia, A. Quarteroni, G. Rozza, & L. M. Silveira (Hrsg.), Model Order Reduction: Bd. 1: System-and Data-Driven Methods and Algorithms (S. 311–354). de Gruyter.
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  @incollection{santin2021kernel, author = {Santin, Gabriele and Haasdonk, Bernard}, editor = {Benner, Peter and Schilders, Wil and Grivet-Talocia, Stefano and Quarteroni, Alfio and Rozza, Gianluigi and Silveira, Luis Miguel}, journal = {Model Order Reduction}, pages = {311 - 354}, publisher = {de Gruyter}, title = {Kernel methods for surrogate modeling}, volume = {1: System- and Data-Driven Methods and Algorithms}, year = 2021 }
67. Schmalfuss, J., Riethmüller, C., Altenbernd, M., Weishaupt, K., & Göddeke, D. (2021). Partitioned coupling vs. monolithic block-preconditioning approaches for solving Stokes-Darcy systems. Proceedings of the International Conference on Computational Methods for Coupled Problems in Science and Engineering (COUPLED PROBLEMS). https://doi.org/10.23967/coupled.2021.043
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  @inproceedings{schmalfuss2021partitioned, author = {Schmalfuss, Jenny and Riethmüller, Cedric and Altenbernd, Mirco and Weishaupt, Kilian and Göddeke, Dominik}, doi = {10.23967/coupled.2021.043}, journal = {Proceedings of the International Conference on Computational Methods for Coupled Problems in Science and Engineering (COUPLED PROBLEMS)}, title = {Partitioned coupling vs. monolithic block-preconditioning approaches for solving {Stokes}-{Darcy} systems}, url = {https://www.scipedia.com/public/Schmalfus_et_al_2021a}, year = 2021 }
68. Schricker, S., Monje, DC., Dippon, J., Kimmel, M., Alscher, MD., & Schanz, M. (2021). Physician-guided, hybrid genetic testing exerts promising effects on health-related behavior without compromising quality of life. Sci Rep., 2021 Apr 19;11(1), 8494. https://doi.org/10.1038/s41598-021-87821-8
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  @article{schricker2021physicianguided, author = {Schricker, S. and Monje, DC. and Dippon, J. and Kimmel, M. and Alscher, MD. and Schanz, M.}, doi = {10.1038/s41598-021-87821-8}, journal = {Sci Rep.}, pages = 8494, title = {Physician-guided, hybrid genetic testing exerts promising effects on health-related behavior without compromising quality of life}, volume = {2021 Apr 19;11(1)}, year = 2021 }
69. Stauch, G., Fritz, P., Rokai, R., Sediqi, A., Firooz, H., Voelker, HU., Weinhara, M., Mollin, J., Soudah, B., Dalquen, P., Brinckmann, F., & Dippon, J. (2021). The Importance of Clinical Data for the Diagnosis of Breast Tumours in North Afghanistan. Int. Jounal Breast Cancer, Jul 30;2021, 6625239. https://doi.org/10.1155/2021/6625239
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  @article{stauch2021importance, author = {Stauch, G. and Fritz, P. and Rokai, R. and Sediqi, A. and Firooz, H. and Voelker, HU. and Weinhara, M. and Mollin, J. and Soudah, B. and Dalquen, P. and Brinckmann, F. and Dippon, J.}, doi = {10.1155/2021/6625239}, journal = {Int. Jounal Breast Cancer}, pages = 6625239, title = {The Importance of Clinical Data for the Diagnosis of Breast Tumours in North Afghanistan}, volume = {Jul 30;2021}, year = 2021 }
70. Steinwart, I., & Fischer, S. (2021). A Closer Look at Covering Number Bounds for Gaussian Kernels. J. Complexity, 62, 101513. https://doi.org/10.1016/j.jco.2020.101513
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  @article{StFi21a, author = {Steinwart, I. and Fischer, S.}, doi = {10.1016/j.jco.2020.101513}, journal = {J. Complexity}, note = {\url{https://arxiv.org/abs/1912.11741}}, pages = 101513, title = {A Closer Look at Covering Number Bounds for {G}aussian Kernels}, volume = 62, year = 2021 }
71. Steinwart, I., & Ziegel, J. F. (2021). Strictly proper kernel scores and characteristic kernels on compact spaces. Appl. Comput. Harmon. Anal., 51, 510--542. https://doi.org/10.1016/j.acha.2019.11.005
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  @article{StZi21a, author = {Steinwart, I. and Ziegel, J.F.}, doi = {10.1016/j.acha.2019.11.005}, journal = { Appl. Comput. Harmon. Anal.}, note = {\url{https://arxiv.org/abs/1712.05279}}, pages = {510--542}, title = {Strictly proper kernel scores and characteristic kernels on compact spaces}, volume = 51, year = 2021 }
72. Veenman, J., Scherer, C. W., Ardura, C., Bennani, S., Preda, V., & Girouart, B. (2021). IQClab: A new IQC based toolbox for robustness analysis and control design. IFAC-PapersOnline, 54(8), 69--74. https://doi.org/10.1016/j.ifacol.2021.08.583
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  @inproceedings{VeeSch21, author = {Veenman, Joost and Scherer, Carsten W. and Ardura, Carlos and Bennani, Samir and Preda, Valentin and Girouart, B{\'{e}}n{\'{e}}dicte}, booktitle = {{IFAC}-{P}apers{O}nline}, doi = {10.1016/j.ifacol.2021.08.583}, number = 8, pages = {69--74}, title = {{IQClab}: A new {IQC} based toolbox for robustness analysis and control design}, url = {https://doi.org/10.1016/j.ifacol.2021.08.583}, volume = 54, year = 2021 }
73. von Wolff, L., Weinhardt, F., Class, H., Hommel, J., & Rohde, C. (2021). Investigation of Crystal Growth in Enzymatically Induced Calcite Precipitation by Micro-Fluidic Experimental Methods and Comparison with Mathematical Modeling. Transp. Porous Media, 137(2), 327--343. https://doi.org/10.1007/s11242-021-01560-y
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  @article{MR4231733, author = {von Wolff, Lars and Weinhardt, Felix and Class, Holger and Hommel, Johannes and Rohde, Christian}, doi = {10.1007/s11242-021-01560-y}, fjournal = {Transport in Porous Media}, issn = {0169-3913}, journal = {Transp. Porous Media}, mrnumber = {4231733}, number = 2, pages = {327--343}, title = {Investigation of Crystal Growth in Enzymatically Induced Calcite Precipitation by Micro-Fluidic Experimental Methods and Comparison with Mathematical Modeling}, url = {https://doi.org/10.1007/s11242-021-01560-y}, volume = 137, year = 2021 }
74. Wagner, A., Eggenweiler, E., Weinhardt, F., Trivedi, Z., Krach, D., Lohrmann, C., Jain, K., Karadimitriou, N., Bringedal, C., Voland, P., Holm, C., Class, H., Steeb, H., & Rybak, I. (2021). Permeability estimation of regular porous structures: a benchmark for comparison of methods. Transp. Porous Med., 138, 1–23. https://doi.org/10.1007/s11242-021-01586-2
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  @article{Wagner_etal_19, author = {Wagner, A. and Eggenweiler, Elissa and Weinhardt, F. and Trivedi, Z. and Krach, D. and Lohrmann, C. and Jain, K. and Karadimitriou, N. and Bringedal, Carina and Voland, P. and Holm, Christian and Class, Holger and Steeb, Holger and Rybak, Iryna}, doi = {10.1007/s11242-021-01586-2}, journal = {Transp. Porous Med.}, pages = {1-23}, title = {Permeability estimation of regular porous structures: a benchmark for comparison of methods}, volume = 138, year = 2021 }
75. Wenzel, T., Santin, G., & Haasdonk, B. (2021). Analysis of target data-dependent greedy kernel algorithms: Convergence rates for f-, f P- and f/P-greedy. arXiv. https://doi.org/10.48550/ARXIV.2105.07411
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  @misc{https://doi.org/10.48550/arxiv.2105.07411, author = {Wenzel, Tizian and Santin, Gabriele and Haasdonk, Bernard}, copyright = {arXiv.org perpetual, non-exclusive license}, doi = {10.48550/ARXIV.2105.07411}, publisher = {arXiv}, title = {Analysis of target data-dependent greedy kernel algorithms: Convergence rates for f-, f P- and f/P-greedy}, url = {https://arxiv.org/abs/2105.07411}, year = 2021 }
76. Wenzel, T., Santin, G., & Haasdonk, B. (2021). Universality and Optimality of Structured Deep Kernel Networks. arXiv. https://doi.org/10.48550/ARXIV.2105.07228
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  @misc{wenzel2021universality, author = {Wenzel, Tizian and Santin, Gabriele and Haasdonk, Bernard}, copyright = {arXiv.org perpetual, non-exclusive license}, doi = {10.48550/ARXIV.2105.07228}, publisher = {arXiv}, title = {Universality and Optimality of Structured Deep Kernel Networks}, url = {https://arxiv.org/abs/2105.07228}, year = 2021 }
77. Wenzel, T., Santin, G., & Haasdonk, B. (2021). Analysis of target data-dependent greedy kernel algorithms: Convergence rates for $f$-, $f P$- and $f/P$-greedy. arXiv. https://doi.org/10.48550/ARXIV.2105.07411
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  @misc{wenzel2021analysis, author = {Wenzel, Tizian and Santin, Gabriele and Haasdonk, Bernard}, copyright = {arXiv.org perpetual, non-exclusive license}, doi = {10.48550/ARXIV.2105.07411}, publisher = {arXiv}, title = {Analysis of target data-dependent greedy kernel algorithms: Convergence rates for $f$-, $f \cdot P$- and $f/P$-greedy}, url = {https://arxiv.org/abs/2105.07411}, year = 2021 }
78. Wenzel, T., Santin, G., & Haasdonk, B. (2021). A novel class of stabilized greedy kernel approximation algorithms: Convergence, stability and uniform point distribution.
  - BibTeX
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  @article{noauthororeditor, author = {Wenzel, Tizian and Santin, Gabriele and Haasdonk, Bernard}, title = {A novel class of stabilized greedy kernel approximation algorithms: Convergence, stability and uniform point distribution}, year = 2021 }
79. Wittwar, D., & Haasdonk, B. (o. J.). Convergence rates for matrix P-greedy variants. In Numerical mathematics and advanced applications---ENUMATH 2019 (Bd. 139, S. 1195--1203). Springer, Cham. https://doi.org/10.1007/978-3-030-55874-1\_119
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  @incollection{MR4266599, author = {Wittwar, Dominik and Haasdonk, Bernard}, booktitle = {Numerical mathematics and advanced applications---{ENUMATH} 2019}, doi = {10.1007/978-3-030-55874-1\_119}, mrclass = {65D05}, mrnumber = {4266599}, pages = {1195--1203}, publisher = {Springer, Cham}, series = {Lect. Notes Comput. Sci. Eng.}, title = {Convergence rates for matrix {P}-greedy variants}, url = {https://doi.org/10.1007/978-3-030-55874-1_119}, volume = 139, year = {[2021] } }
2020
1. Alla, A., Haasdonk, B., & Schmidt, A. (2020). Feedback control of parametrized PDEs via model order reduction and dynamic programming principle. Adv. Comput. Math., 46(1), Paper No. 9, 28. https://doi.org/10.1007/s10444-020-09744-8
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  @article{MR4064372, author = {Alla, Alessandro and Haasdonk, Bernard and Schmidt, Andreas}, doi = {10.1007/s10444-020-09744-8}, fjournal = {Advances in Computational Mathematics}, issn = {1019-7168}, journal = {Adv. Comput. Math.}, mrclass = {49L20 (49J20 49M25 65N99)}, mrnumber = {4064372}, mrreviewer = {Monica Motta}, number = 1, pages = {Paper No. 9, 28}, title = {Feedback control of parametrized {PDE}s via model order reduction and dynamic programming principle}, url = {https://doi.org/10.1007/s10444-020-09744-8}, volume = 46, year = 2020 }
2. Armiti-Juber, A., & Rohde, C. (2020). On the well-posedness of a nonlinear fourth-order extension of Richards’ equation. J. Math. Anal. Appl., 487(2), 124005. https://doi.org/10.1016/j.jmaa.2020.124005
  - BibTeX
  BibTeX
  @article{ARMITIJUBER2020124005, abstract = {We study a nonlinear fourth-order extension of Richards' equation that describes infiltration processes in unsaturated soils. We prove the well-posedness of the fourth-order equation by first applying Kirchhoff's transformation to linearize the higher-order terms. The transformed equation is then discretized in time and space and a set of a priori estimates is established. These allow, by means of compactness theorems, extracting a unique weak solution. Finally, we use the inverse of Kirchhoff's transformation to prove the well-posedness of the original equation.}, author = {Armiti-Juber, Alaa and Rohde, Christian}, doi = {https://doi.org/10.1016/j.jmaa.2020.124005}, issn = {0022-247X}, journal = {J. Math. Anal. Appl.}, number = 2, pages = 124005, title = {On the well-posedness of a nonlinear fourth-order extension of Richards' equation}, url = {http://www.sciencedirect.com/science/article/pii/S0022247X20301670}, volume = 487, year = 2020 }
3. Barberis, M. L., Moroianu, A., & Semmelmann, U. (2020). Generalized vector cross products and Killing forms on negatively curved manifolds. Geom. Dedicata, 205, 113--127. https://doi.org/10.1007/s10711-019-00467-9
  - BibTeX
  BibTeX
  @article{MR4076821, author = {Barberis, Mar\'{\i}a Laura and Moroianu, Andrei and Semmelmann, Uwe}, doi = {10.1007/s10711-019-00467-9}, fjournal = {Geometriae Dedicata}, issn = {0046-5755}, journal = {Geom. Dedicata}, mrclass = {53C21 (15A69)}, mrnumber = {4076821}, mrreviewer = {Tan Zhang}, pages = {113--127}, title = {Generalized vector cross products and Killing forms on negatively curved manifolds}, url = {https://doi.org/10.1007/s10711-019-00467-9}, volume = 205, year = 2020 }
4. Barreau, M., Scherer, C. W., Gouaisbaut, F., & Seuret, A. (2020). Integral Quadratic Constraints on Linear Infinite-dimensional Systems for Robust Stability Analysis. IFAC World Congress.
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  BibTeX
  @inproceedings{barreau2020integral, author = {Barreau, M. and Scherer, C. W. and Gouaisbaut, F. and Seuret, A.}, booktitle = {IFAC World Congress}, title = {Integral Quadratic Constraints on Linear Infinite-dimensional Systems for Robust Stability Analysis}, year = 2020 }
5. Barth, A., & Merkle, R. (2020). Subordinated Gaussian Random Fields in Elliptic Partial Differential Equations. ArXiv e-prints, arXiv:2011.09311 math.NA.
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  BibTeX
  @article{SGRFPDE, author = {Barth, A. and Merkle, R.}, journal = {ArXiv e-prints, arXiv:2011.09311 [math.NA]}, title = {Subordinated {G}aussian Random Fields in Elliptic Partial Differential Equations}, year = 2020 }
6. Barth, A., & Merkle, R. (2020). Subordinated Gaussian Random Fields. ArXiv e-prints, arXiv:2012.06353 math.PR.
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  BibTeX
  @article{SGRF, author = {Barth, A. and Merkle, R.}, journal = {ArXiv e-prints, arXiv:2012.06353 [math.PR]}, title = {Subordinated {G}aussian Random Fields}, year = 2020 }
7. Bastian, P., Altenbernd, M., Dreier, N.-A., Engwer, C., Fahlke, J., Fritze, R., Geveler, M., Göddeke, D., Iliev, O., Ippisch, O., Mohring, J., Müthing, S., Ohlberger, M., Ribbrock, D., Shegunov, N., & Turek, S. (2020). Exa-Dune - Flexible PDE Solvers, Numerical Methods and Applications. In H.-J. Bungartz, S. Reiz, B. Uekermann, P. Neumann, & W. E. Nagel (Hrsg.), Software for Exascale Computing -- SPPEXA 2016--2019 (S. 225--269). Springer. https://doi.org/10.1007/978-3-030-47956-5_9
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  BibTeX
  @inbook{Bastian:2019:EFD, author = {Bastian, Peter and Altenbernd, Mirco and Dreier, Nils-Arne and Engwer, Christian and Fahlke, Jorrit and Fritze, René and Geveler, Markus and Göddeke, Dominik and Iliev, Oleg and Ippisch, Olaf and Mohring, Jan and Müthing, Steffen and Ohlberger, Mario and Ribbrock, Dirk and Shegunov, Nikolay and Turek, Stefan}, booktitle = {Software for Exascale Computing -- SPPEXA 2016--2019}, doi = {10.1007/978-3-030-47956-5_9}, editor = {Bungartz, Hans-Joachim and Reiz, Severin and Uekermann, Benjamin and Neumann, Philipp and Nagel, Wolfgang E.}, month = {08}, pages = {225--269}, publisher = {Springer}, title = {Exa-Dune - Flexible PDE Solvers, Numerical Methods and Applications}, year = 2020 }
8. Baumstark, S., Schneider, G., Schratz, K., & Zimmermann, D. (2020). Effective slow dynamics models for a class of dispersive systems. J. Dyn. Differ. Equations, 32(4), 1867--1899.
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  BibTeX
  @article{zbMATH07272636, author = {{Baumstark}, Simon and {Schneider}, Guido and {Schratz}, Katharina and {Zimmermann}, Dominik}, fjournal = {{Journal of Dynamics and Differential Equations}}, issn = {1040-7294; 1572-9222/e}, journal = {{J. Dyn. Differ. Equations}}, language = {English}, msc2010 = {35B25 35K90 35L90 35L10}, number = 4, pages = {1867--1899}, publisher = {Springer US, New York, NY}, title = {{Effective slow dynamics models for a class of dispersive systems}}, volume = 32, year = 2020, zbl = {1452.35014} }
9. Baumstark, S., Schneider, G., & Schratz, K. (2020). Effective numerical simulation of the Klein-Gordon-Zakharov system in the Zakharov limit. In Mathematics of wave phenomena. Selected papers based on the presentations at the conference, Karlsruhe, Germany, July 23--27, 2018 (S. 37--48). Cham: Birkhäuser.
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  BibTeX
  @incollection{zbMATH07315216, author = {{Baumstark}, Simon and {Schneider}, Guido and {Schratz}, Katharina}, booktitle = {{Mathematics of wave phenomena. Selected papers based on the presentations at the conference, Karlsruhe, Germany, July 23--27, 2018}}, isbn = {978-3-030-47173-6/hbk; 978-3-030-47174-3/ebook}, language = {English}, msc2010 = {65M}, pages = {37--48}, publisher = {Cham: Birkh\"auser}, title = {{Effective numerical simulation of the Klein-Gordon-Zakharov system in the Zakharov limit}}, year = 2020 }
10. Beck, A., Dürrwächter, J., Kuhn, T., Meyer, F., Munz, C.-D., & Rohde, C. (2020). $hp$-Multilevel Monte Carlo methods for uncertainty quantification of compressible flows. SIAM J. Sci. Comput., 42(4), B1067–B1091. https://doi.org/10.1137/18M1210575
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  BibTeX
  @article{meyeretal2020, abstract = {We propose a novel $hp$-Multilevel Monte Carlo method for the quantification of uncertainties in compressible flows using the Discontinuous Galerkin method as deterministic solver. The multilevel approach exploits hierarchies of uniformly refined meshes jointly with an increasing polynomial degree for the ansatz space. It allows for a very large range of resolutions in the physical space and thus an efficient decrease of the statistical error. We prove that the overall complexity of the $hp$-Multilevel Monte Carlo method to compute the mean field with prescribed accuracy is of quadratic order with respect to the accuracy. We also propose a novel and simple approach to estimate a lower confidence bound for the optimal number of samples per level, which helps to prevent overshooting the optimal number of samples. The method is in particular adapted to the needs of high-performance computing. Our theoretical results are verified by numerical experiments for the two dimensional compressible Navier-Stokes equations. In particular we consider a cavity flow problem from computational acoustics, demonstrating that the method is suitable to handle complex engineering problems.}, author = {Beck, A. and D\"{u}rrw\"{a}chter, J. and Kuhn, T. and Meyer, F. and Munz, C.-D. and Rohde, C.}, doi = {https://doi.org/10.1137/18M1210575}, journal = {SIAM J. Sci. Comput.}, number = 4, owner = {meyerfn}, pages = {B1067–B1091}, title = {$hp$-Multilevel Monte Carlo methods for uncertainty quantification of compressible flows}, url = {https://arxiv.org/abs/1808.10626}, volume = 42, year = 2020 }
11. Berberich, J., Koch, A., Scherer, C. W., & Allgöwer, F. (2020). Robust data-driven state-feedback design. 2020 American Control Conference (ACC), 1532–1538. https://doi.org/10.23919/acc45564.2020.9147320
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  BibTeX
  @inproceedings{BerKoc20, author = {Berberich, Julian and Koch, Anne and Scherer, Carsten W. and Allg{\"o}wer, Frank}, booktitle = {2020 American Control Conference ({ACC})}, doi = {10.23919/acc45564.2020.9147320}, month = {07}, pages = {1532-1538}, title = {Robust data-driven state-feedback design}, url = {/brokenurl#10.23919/ACC45564.2020.9147320}, year = 2020 }
12. Berre, I., Boon, W. M., Flemisch, B., Fumagalli, A., Gläser, D., Keilegavlen, E., Scotti, A., Stefansson, I., Tatomir, A., Brenner, K., Burbulla, S., Devloo, P., Duran, O., Favino, M., Hennicker, J., Lee, I.-H., Lipnikov, K., Masson, R., Mosthaf, K., … Zulian, P. (2020). Verification benchmarks for single-phase flow in three-dimensional fractured porous media.
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  BibTeX
  @misc{berre2020verification, archiveprefix = {arXiv}, author = {Berre, Inga and Boon, Wietse M. and Flemisch, Bernd and Fumagalli, Alessio and Gläser, Dennis and Keilegavlen, Eirik and Scotti, Anna and Stefansson, Ivar and Tatomir, Alexandru and Brenner, Konstantin and Burbulla, Samuel and Devloo, Philippe and Duran, Omar and Favino, Marco and Hennicker, Julian and Lee, I-Hsien and Lipnikov, Konstantin and Masson, Roland and Mosthaf, Klaus and Nestola, Maria Giuseppina Chiara and Ni, Chuen-Fa and Nikitin, Kirill and Schädle, Philipp and Svyatskiy, Daniil and Yanbarisov, Ruslan and Zulian, Patrick}, eprint = {2002.07005}, primaryclass = {math.NA}, title = {Verification benchmarks for single-phase flow in three-dimensional fractured porous media}, year = 2020 }
13. Bitter, A. (2020). Virtual levels of multi-particle quantum systems and their implications for the Efimov effect [Dissertation, Universität Stuttgart]. https://doi.org/10.18419/opus-11315
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  @phdthesis{bitter2020virtual, address = {Stuttgart}, author = {Bitter, Andreas}, doi = {10.18419/opus-11315}, eventdate = {2020-12-18}, language = {eng}, school = {Universität Stuttgart}, supervisor = {Weidl, Timo}, supervisorgnd = {1095129147}, title = {Virtual levels of multi-particle quantum systems and their implications for the Efimov effect}, type = {Dissertation}, year = 2020 }
14. Blanke, S. E., Hahn, B. N., & Wald, A. (2020). Inverse problems with inexact forward operator: iterative regularization and application in dynamic imaging. Inverse Problems, 36(12), 124001. https://doi.org/10.1088/1361-6420/abb5e1
  - BibTeX
  BibTeX
  @article{Blanke_2020, abstract = {The classic regularization theory for solving inverse problems is built on the assumption that the forward operator perfectly represents the underlying physical model of the data acquisition. However, in many applications, for instance in microscopy or magnetic particle imaging, this is not the case. Another important example represent dynamic inverse problems, where changes of the searched-for quantity during data collection can be interpreted as model uncertainties. In this article, we propose a regularization strategy for linear inverse problems with inexact forward operator based on sequential subspace optimization methods (SESOP). In order to account for local modelling errors, we suggest to combine SESOP with the Kaczmarz’ method. We study convergence and regularization properties of the proposed method and discuss several practical realizations. Relevance and performance of our approach are evaluated at simulated data from dynamic computerized tomography with various dynamic scenarios.}, author = {Blanke, Stephanie E and Hahn, Bernadette N and Wald, Anne}, doi = {10.1088/1361-6420/abb5e1}, journal = {Inverse Problems}, number = 12, pages = 124001, publisher = {{IOP} Publishing}, title = {Inverse problems with inexact forward operator: iterative regularization and application in dynamic imaging}, url = {https://doi.org/10.1088/1361-6420/abb5e1}, volume = 36, year = 2020 }
15. Brehler, M., Schirwon, M., Krummrich, P. M., & Göddeke, D. (2020). Simulation of Nonlinear Signal Propagation in Multimode Fibers on Multi-GPU Systems. Communications in Nonlinear Science and Numerical Simulation, 84, 105150. https://doi.org/10.1016/j.cnsns.2019.105150
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  BibTeX
  @article{Brehler:2020:SON, author = {Brehler, Marius and Schirwon, Malte and Krummrich, Peter M. and G{\"o}ddeke, Dominik}, doi = {10.1016/j.cnsns.2019.105150}, journal = {Communications in Nonlinear Science and Numerical Simulation}, month = {05}, pages = 105150, title = {Simulation of Nonlinear Signal Propagation in Multimode Fibers on Multi-GPU Systems}, volume = 84, year = 2020 }
16. Brencher, L., & Barth, A. (2020). Hyperbolic Conservation Laws with Stochastic Discontinuous Flux Functions. International Conference on Finite Volumes for Complex Applications, 265--273.
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  @inproceedings{Brencher2020Hyperbolic, author = {Brencher, Lukas and Barth, Andrea}, booktitle = {International Conference on Finite Volumes for Complex Applications}, file = {Proceedings:books-lectures/Kloefkorn - Hyperbolic Conservation Laws with Stochastic Discontinuous Flux Functions.pdf:PDF}, pages = {265--273}, publisher = {Springer}, title = {{H}yperbolic {C}onservation {L}aws with {S}tochastic {D}iscontinuous {F}lux {F}unctions}, year = 2020 }
17. Brinker, J., & Wirth, J. (2020). Gelfand Triples for the Kohn–Nirenberg Quantization on Homogeneous Lie Groups. In Advances in Harmonic Analysis and Partial Differential Equations. (S. 51–97). Birkhäuser. https://doi.org/10.1007/978-3-030-58215-9_3
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  BibTeX
  @incollection{brinker2020gelfand, author = {Brinker, Jonas and Wirth, Jens}, booktitle = {Advances in Harmonic Analysis and Partial Differential Equations.}, doi = {10.1007/978-3-030-58215-9_3}, isbn = {978-3-030-58214-2}, pages = {51-97}, publisher = {Birkhäuser}, series = {Trends in Mathematics}, title = {Gelfand Triples for the Kohn–Nirenberg Quantization on Homogeneous Lie Groups}, url = {https://link.springer.com/chapter/10.1007/978-3-030-58215-9_3}, year = 2020 }
18. Buchfink, P., Haasdonk, B., & Rave, S. (2020). PSD-Greedy Basis Generation for Structure-Preserving Model Order Reduction of Hamiltonian Systems. In P. Frolkovič, K. Mikula, & D. Ševčovič (Hrsg.), Proceedings of the Conference Algoritmy 2020 (S. 151--160). Vydavateľstvo SPEKTRUM. http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/algoritmy/article/view/1577/829
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  BibTeX
  @inproceedings{Buchfink2020a, abstract = {Hamiltonian systems are central in the formulation of non-dissipative physical systems. They are characterized by a phase-space, a symplectic form and a Hamiltonian function. In numerical simulations of Hamiltonian systems, algorithms show improved accuracy when the symplectic structure is preserved [10]. For structure-preserving model order reduction (MOR) of Hamiltonian systems, symplectic MOR [17, 14, 11, 3, 16] can be used. It is based on a reduced-order basis that is symplectic, which requires symplectic basis generation techniques. In our work, we discuss greedy algorithms for symplectic basis generation. We complement the procedure presented in [14] with ideas of the POD-greedy [9], which results in a new greedy symplectic basis generation technique, the PSD-greedy. Inspired by POD-greedy, we use compression techniques in the greedy iterations to enrich the basis iteratively. We prove that this algorithm computes a symplectic basis when symplectic techniques are used for compression. In the numerical experiments, we compare the discussed methods for a linear elasticity problem. The results show that improvements of up to one order of magnitude in the relative reduction error are achievable with the new basis generation technique compared to the existing greedy approach from [14].}, author = {Buchfink, P. and Haasdonk, B. and Rave, S.}, booktitle = {Proceedings of the Conference Algoritmy 2020}, editor = {Frolkovič, P. and Mikula, K. and Ševčovič, D.}, isbn = {978-80-227-5032-5}, month = {08}, pages = {151--160}, publisher = {Vydavateľstvo SPEKTRUM}, title = {PSD-Greedy Basis Generation for Structure-Preserving Model Order Reduction of Hamiltonian Systems}, url = {http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/algoritmy/article/view/1577/829}, year = 2020 }
19. Burbulla, S., & Rohde, C. (2020). A fully conforming finite volume approach to two-phase flow in fractured porous media. In R. Klöfkorn, E. Keilegavlen, F. A. Radu, & J. Fuhrmann (Hrsg.), Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples (S. 547–555). Springer International Publishing. https://doi.org/10.1007/978-3-030-43651-3_51
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  @inproceedings{Burbulla2020, abstract = {In many natural and technical applications in porous media fluid's flow behavior is highly affected by fractures. Many approaches employ mixed-dimensional models that model thin features as dimension-reduced manifolds. Following this idea, we consider porous media where dominant heterogeneities are geometrically represented by sharp interfaces. We model incompressible two-phase flow in porous media both in the bulk porous medium and within the fractures. We present a reliable and geometrically flexible implementation of a fully conforming finite volume approach within the DUNE framework for two and three spatial dimensions. The implementation is based on the new dune-mmesh grid implementation that manages bulk and surface triangulation simultaneously. The model and the implementation are extended to handle fracture junctions. We apply our scheme to benchmark cases with complex fracture networks to show the reliability of the approach.}, address = {Cham}, author = {Burbulla, Samuel and Rohde, Christian}, booktitle = {Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples}, doi = {https://doi.org/10.1007/978-3-030-43651-3_51}, editor = {Klöfkorn, Robert and Keilegavlen, Eirik and Radu, Florin A. and Fuhrmann, Jürgen}, pages = {547-555}, publisher = {Springer International Publishing}, title = {A fully conforming finite volume approach to two-phase flow in fractured porous media}, url = {https://link.springer.com/chapter/10.1007%2F978-3-030-43651-3_51}, year = 2020 }
20. de Rijk, B., & Schneider, G. (2020). Global Existence and Decay in Nonlinearly Coupled Reaction-Diffusion-Advection Equations with Different Velocities. J. Differential Equations, 268(7), 3392--3448. https://doi.org/10.1016/j.jde.2019.09.056
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  BibTeX
  @article{MR4053595, author = {de Rijk, Bj\"{o}rn and Schneider, Guido}, doi = {10.1016/j.jde.2019.09.056}, fjournal = {Journal of Differential Equations}, issn = {0022-0396}, journal = {J. Differential Equations}, mrclass = {35K45 (35A01 35B40 35K57)}, mrnumber = {4053595}, mrreviewer = {Joseph L. Shomberg}, number = 7, pages = {3392--3448}, title = {Global Existence and Decay in Nonlinearly Coupled Reaction-Diffusion-Advection Equations with Different Velocities}, url = {https://doi.org/10.1016/j.jde.2019.09.056}, volume = 268, year = 2020 }
21. Díaz-Ramos, J. C., Domínguez-Vázquez, M., & Kollross, A. (2020). On homogeneous manifolds whose isotropy actions are polar. manuscripta mathematica, 161(1), 15--34. https://doi.org/10.1007/s00229-018-1077-1
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  BibTeX
  @article{Díaz-Ramos2020, abstract = {We show that simply connected Riemannian homogeneous spaces of compact semisimple Lie groups with polar isotropy actions are symmetric, generalizing results of Fabio Podest{\`a} and the third named author. Without assuming compactness, we give a classification of Riemannian homogeneous spaces of semisimple Lie groups whose linear isotropy representations are polar. We show for various such spaces that they do not have polar isotropy actions. Moreover, we prove that Heisenberg groups and non-symmetric Damek--Ricci spaces have non-polar isotropy actions.}, author = {D{\'i}az-Ramos, Jos{\'e} Carlos and Dom{\'i}nguez-V{\'a}zquez, Miguel and Kollross, Andreas}, day = 01, doi = {10.1007/s00229-018-1077-1}, issn = {1432-1785}, journal = {manuscripta mathematica}, month = {01}, number = 1, pages = {15--34}, title = {On homogeneous manifolds whose isotropy actions are polar}, url = {https://doi.org/10.1007/s00229-018-1077-1}, volume = 161, year = 2020 }
22. Eggenweiler, E., & Rybak, I. (2020). Unsuitability of the Beavers-Joseph interface condition for filtration problems. J. Fluid Mech., 892, A10. http://dx.doi.org/10.1017/jfm.2020.194
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  BibTeX
  @article{EggenweilerRybak2019, author = {Eggenweiler, E. and Rybak, I.}, doi = {http://dx.doi.org/10.1017/jfm.2020.194}, journal = {J. Fluid Mech. }, pages = {A10}, title = {Unsuitability of the Beavers-Joseph interface condition for filtration problems}, volume = 892, year = 2020 }
23. Eggenweiler, E., & Rybak, I. (2020). Interface conditions for arbitrary flows in coupled porous-medium and free-flow systems. In R. Klöfkorn, E. Keilegavlen, F. Radu, & J. Fuhrmann (Hrsg.), Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples (Bd. 323, S. 345--353). Springer International Publishing. https://doi.org/10.1007/978-3-030-43651-3_31
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  BibTeX
  @inproceedings{EggenweileRybak19b, author = {Eggenweiler, E. and Rybak, I.}, booktitle = {Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples}, doi = {10.1007/978-3-030-43651-3_31}, editor = {Kl{\"o}fkorn, R. and Keilegavlen, E. and Radu, F. and Fuhrmann, J.}, pages = {345--353}, publisher = {Springer International Publishing}, series = {Springer Proceedings in Mathematics \& Statistics}, title = {Interface conditions for arbitrary flows in coupled porous-medium and free-flow systems}, volume = 323, year = 2020 }
24. IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22-25, 2018: MORCOS 2018. (2020). In J. Fehr & B. Haasdonk (Hrsg.), IUTAM Bookseries. Springer.
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  @book{FehrHaasdonk19, editor = {Fehr, J\"org and Haasdonk, Bernard}, owner = {fehr}, publisher = {Springer}, series = {IUTAM Bookseries}, title = {IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22-25, 2018: MORCOS 2018}, year = 2020 }
25. Fischer, S., & Steinwart, I. (2020). Sobolev Norm Learning Rates for Regularized Least-Squares Algorithm. J. Mach. Learn. Res., 205, 1--38.
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  BibTeX
  @article{FiSt20a, author = {Fischer, S. and Steinwart, I.}, journal = {J. Mach. Learn. Res.}, note = {\url{https://www.jmlr.org/papers/volume21/19-734/19-734.pdf}}, number = 205, pages = {1--38}, title = {Sobolev Norm Learning Rates for Regularized Least-Squares Algorithm}, year = 2020 }
26. Fischer, S., & Steinwart, I. (2020). Sobolev norm learning rates for regularized least-squares algorithms. J. Mach. Learn. Res., 21(205), 1--38. http://jmlr.org/papers/v21/19-734.html
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  BibTeX
  @article{FiSt2020, abstract = {Learning rates for least-squares regression are typically expressed in terms of $L_2$-norms. In this paper we extend these rates to norms stronger than the $L_2$-norm without requiring the regression function to be contained in the hypothesis space. In the special case of Sobolev reproducing kernel Hilbert spaces used as hypotheses spaces, these stronger norms coincide with fractional Sobolev norms between the used Sobolev space and $L_2$. As a consequence, not only the target function but also some of its derivatives can be estimated without changing the algorithm. From a technical point of view, we combine the well-known integral operator techniques with an embedding property, which so far has only been used in combination with empirical process arguments. This combination results in new finite sample bounds with respect to the stronger norms. From these finite sample bounds our rates easily follow. Finally, we prove the asymptotic optimality of our results in many cases.}, author = {Fischer, Simon and Steinwart, Ingo}, editor = {Rosasco, Lorenzo}, issn = {1533-7928}, journal = {J. Mach. Learn. Res.}, month = {10}, number = 205, pages = {1--38}, publisher = {JMLR}, title = {Sobolev norm learning rates for regularized least-squares algorithms}, url = {http://jmlr.org/papers/v21/19-734.html}, volume = 21, year = 2020 }
27. Geck, M. (2020). Green functions and Glauberman degree-divisibility. Annals of Mathematics, 192(1), 229–249. https://doi.org/10.4007/annals.2020.192.1.4
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  @article{Geck_2020, author = {Geck, Meinolf}, doi = {10.4007/annals.2020.192.1.4}, journal = {Annals of Mathematics}, number = 1, pages = {229-249}, publisher = {Annals of Mathematics}, title = {Green functions and Glauberman degree-divisibility}, url = {https://doi.org/10.4007%2Fannals.2020.192.1.4}, volume = 192, year = 2020 }
28. Geck, M. (2020). On Jacob’s construction of the rational canonical form of a matrix. The Electronic Journal of Linear Algebra, 36(36), 177--182. https://doi.org/10.13001/ela.2020.5055
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  BibTeX
  @article{Geck_2020, author = {Geck, Meinolf}, doi = {10.13001/ela.2020.5055}, journal = {The Electronic Journal of Linear Algebra}, month = {04}, number = 36, pages = {177--182}, publisher = {University of Wyoming Libraries}, title = {On Jacob's construction of the rational canonical form of a matrix}, url = {https://doi.org/10.13001%2Fela.2020.5055}, volume = 36, year = 2020 }
29. Geck, M., & Malle, G. (2020). The character theory of finite groups of Lie type. A guided tour. In Cambridge Studies in Advanced Mathematics (Bd. 187, S. ix+394). Cambridge University Press. https://doi.org/10.1017/9781108779081
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  BibTeX
  @incollection{geck2020character, author = {Geck, Meinolf and Malle, Gunter}, doi = {https://doi.org/10.1017/9781108779081}, isbn = {9781108489621}, pages = {ix+394}, publisher = {Cambridge University Press}, series = { Cambridge Studies in Advanced Mathematics}, title = {The character theory of finite groups of Lie type. A guided tour}, volume = 187, year = 2020 }
30. Geck, M. (2020). ChevLie: Constructing Lie algebras and Chevalley groups. Journal of Software for Algebra and Geometry, 10(1), 41--49. https://doi.org/10.2140/jsag.2020.10.41
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  BibTeX
  @article{Geck_2020, author = {Geck, Meinolf}, doi = {10.2140/jsag.2020.10.41}, journal = {Journal of Software for Algebra and Geometry}, month = {05}, number = 1, pages = {41--49}, publisher = {Mathematical Sciences Publishers}, title = {{ChevLie}: Constructing Lie algebras and Chevalley groups}, url = {https://doi.org/10.2140%2Fjsag.2020.10.41}, volume = 10, year = 2020 }
31. Geck, M. (2020). Computing Green functions in small characteristic. Journal of Algebra, 561, 163--199. https://doi.org/10.1016/j.jalgebra.2019.12.016
  - BibTeX
  BibTeX
  @article{Geck_2020, author = {Geck, Meinolf}, doi = {10.1016/j.jalgebra.2019.12.016}, journal = {Journal of Algebra}, month = {11}, pages = {163--199}, publisher = {Elsevier {BV}}, title = {Computing Green functions in small characteristic}, url = {https://doi.org/10.1016%2Fj.jalgebra.2019.12.016}, volume = 561, year = 2020 }
32. Advances in Harmonic Analysis and Partial Differential Equations. (2020). In V. Georgiev, T. Ozawa, M. Ruzhansky, & J. Wirth (Hrsg.), Trends in Mathematics. Birkhäuser. https://doi.org/10.1007/978-3-030-58215-9
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  @book{georgiev2020advances, doi = {10.1007/978-3-030-58215-9}, editor = {Georgiev, Vladimir and Ozawa, Tohru and Ruzhansky, Michael and Wirth, Jens}, publisher = {Birkhäuser}, series = {Trends in Mathematics}, title = {Advances in Harmonic Analysis and Partial Differential Equations}, url = {https://link.springer.com/book/10.1007%2F978-3-030-58215-9#about}, year = 2020 }
33. Gerstenberger, J. T., Burbulla, S., & Kröner, D. (2020). Discontinuous Galerkin method for incompressible two-phase flows. Submitted to: Springer Proceedings in Mathematics & Statistics.
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  @article{Gerstenberger2020, author = {Gerstenberger, Janick Thomas and Burbulla, Samuel and Kröner, Dietmar}, journal = {Submitted to: Springer Proceedings in Mathematics & Statistics}, title = {Discontinuous Galerkin method for incompressible two-phase flows}, year = 2020 }
34. Giesselmann, J., Meyer, F., & Rohde, C. (2020). A posteriori error analysis for random scalar conservation laws using the Stochastic Galerkin method. IMA J. Numer. Anal., 40(2), 1094–1121. https://doi.org/10.1093/imanum/drz004
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  @article{Meyeretal20a, abstract = {In this article we present an a posteriori error estimator for the spatial-stochastic error of a Galerkin-type discretisation of an initial value problem for a random hyperbolic conservation law. For the stochastic discretisation we use the Stochastic Galerkin method and for the spatial-temporal discretisation of the Stochastic Galerkin system a Runge-Kutta Discontinuous Galerkin method. The estimator is obtained using smooth reconstructions of the discrete solution. Combined with the relative entropy stability framework of Dafermos \cite{dafermos2005hyperbolic}, this leads to computable error bounds for the space-stochastic discretisation error. \\ Moreover, it turns out that the error estimator admits a splitting into one part representing the spatial error, and a remaining term, which can be interpreted as the stochastic error. This decomposition allows us to balance the errors arising from spatial and stochastic discretisation. We conclude with some numerical examples confirming the theoretical findings. }, author = {Giesselmann, J. and Meyer, F. and Rohde, C.}, doi = {10.1093/imanum/drz004}, issn = {0272-4979}, journal = {IMA J. Numer. Anal.}, mrnumber = {4092280}, number = 2, pages = {1094-1121}, title = {A posteriori error analysis for random scalar conservation laws using the Stochastic Galerkin method}, url = {https://doi.org/10.1093/imanum/drz004}, volume = 40, year = 2020 }
35. Giesselmann, J., Meyer, F., & Rohde, C. (2020). An a posteriori error analysis based on non-intrusive spectral projections for systems of random conservation laws. In A. Bressan, M. Lewicka, D. Wang, & Y. Zheng (Hrsg.), Hyperbolic Problems: Theory, Numerics, Applications. Proceedings of the Seventeenth International Conference on Hyperbolic Problems 2018 (Bd. 10, S. 449–456). AIMS Series on Applied Mathematics. https://www.aimsciences.org/fileAIMS/cms/news/info/upload//c0904f1f-97d5-451f-b068-25f1612b6852.pdf
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  @inproceedings{GiesselmannMeyerRohdeNISP19, abstract = {We present an a posteriori error analysis for one-dimensional ran-dom hyperbolic systems of conservation laws. For the discretization of therandom space we consider the Non-Intrusive Spectral Projection method, thespatio-temporal discretization uses the Runge–Kutta Discontinuous Galerkinmethod. We derive an a posteriori error estimator using smooth reconstructionsof the numerical solution, which combined with the relative entropy stabilityframework yields computable error bounds for the space-stochastic discretiza-tion error. Moreover, we show that the estimator admits a splitting into astochastic and deterministic part.}, author = {Giesselmann, J. and Meyer, F. and Rohde, C.}, booktitle = {Hyperbolic Problems: Theory, Numerics, Applications. Proceedings of the Seventeenth International Conference on Hyperbolic Problems 2018}, editor = {Bressan, Alberto and Lewicka, Marta and Wang, Dehua and Zheng, Yuxi}, owner = {meyerfn}, pages = {449-456}, publisher = {AIMS Series on Applied Mathematics}, title = {An a posteriori error analysis based on non-intrusive spectral projections for systems of random conservation laws}, url = {https://www.aimsciences.org/fileAIMS/cms/news/info/upload//c0904f1f-97d5-451f-b068-25f1612b6852.pdf}, volume = 10, year = 2020 }
36. Giesselmann, J., Meyer, F., & Rohde, C. (2020). A posteriori error analysis and adaptive non-intrusive numerical schemes for systems of random conservation laws. BIT Numer. Math. https://doi.org/10.1007/s10543-019-00794-z
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  @article{GiesselmannMeyerRohde2019, abstract = {In this article we consider one-dimensional random systems of hyperbolic conservation laws. We first establish existence and uniqueness of random entropy admissible solutions for initial value problems of conservation laws which involve random initial data and random flux functions. Based on these results we present an a posteriori error analysis for a numerical approximation of the random entropy solution. For the stochastic discretization, we consider a non-intrusive approach, the Stochastic Collocation method. The spatial-temporal discretization relies on the Runge--Kutta Discontinuous Galerkin method. We derive the a posteriori estimator using smooth reconstructions of the discrete solution. Combined with the relative entropy stability framework this yields computable error bounds for the entire space-stochastic discretization error. The estimator admits a splitting into a stochastic and a deterministic (space-time) part, allowing for a novel residual-based space-stochastic adaptive mesh refinement algorithm. We conclude with various numerical examples investigating the scaling properties of the residuals and illustrating the efficiency of the proposed adaptive algorithms.}, author = {Giesselmann, J. and Meyer, F. and Rohde, C.}, journal = {BIT Numer. Math.}, title = {A posteriori error analysis and adaptive non-intrusive numerical schemes for systems of random conservation laws}, url = {https://doi.org/10.1007/s10543-019-00794-z}, year = 2020 }
37. Ginoux, N., Habib, G., Pilca, M., & Semmelmann, U. (2020). An Obata-type characterisation of Calabi metrics on line bundles. North-West. Eur. J. Math., 6, 119--136, i.
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  @article{MR4161560, author = {Ginoux, Nicolas and Habib, Georges and Pilca, Mihaela and Semmelmann, Uwe}, fjournal = {North-Western European Journal of Mathematics}, journal = {North-West. Eur. J. Math.}, mrclass = {53C55 (53C15 53C25)}, mrnumber = {4161560}, pages = {119--136, i}, title = {An Obata-type characterisation of Calabi metrics on line bundles}, volume = 6, year = 2020 }
38. Giraud, L., Rüde, U., & Stals, L. (2020). Resiliency in Numerical Algorithm Design for Extreme Scale Simulations (Dagstuhl Seminar 20101). Dagstuhl Reports, 10(3), 1--57. https://doi.org/10.4230/DagRep.10.3.1
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  @article{giraud_et_al:DR:2020:13429, address = {Dagstuhl, Germany}, author = {Giraud, Luc and R{\"u}de, Ulrich and Stals, Linda}, doi = {10.4230/DagRep.10.3.1}, editor = {Giraud, Luc and R{\"u}de, Ulrich and Stals, Linda}, issn = {2192-5283}, journal = {Dagstuhl Reports}, number = 3, pages = {1--57}, publisher = {Schloss Dagstuhl--Leibniz-Zentrum f{\"u}r Informatik}, title = {{Resiliency in Numerical Algorithm Design for Extreme Scale Simulations (Dagstuhl Seminar 20101)}}, url = {https://drops.dagstuhl.de/opus/volltexte/2020/13429}, urn = {urn:nbn:de:0030-drops-134290}, volume = 10, year = 2020 }
39. Griesemer, M., Hofacker, M., & Linden, U. (2020). From short-range to contact interactions in the 1d Bose gas. Math. Phys. Anal. Geom., 23(2), Paper No. 19, 28. https://doi.org/10.1007/s11040-020-09344-4
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  @article{MR4102458, author = {Griesemer, Marcel and Hofacker, Michael and Linden, Ulrich}, doi = {10.1007/s11040-020-09344-4}, fjournal = {Mathematical Physics, Analysis and Geometry. An International Journal Devoted to the Theory and Applications of Analysis and Geometry to Physics}, issn = {1385-0172}, journal = {Math. Phys. Anal. Geom.}, mrclass = {81V70 (81Q10)}, mrnumber = {4102458}, number = 2, pages = {Paper No. 19, 28}, title = {From short-range to contact interactions in the 1d {B}ose gas}, url = {https://doi.org/10.1007/s11040-020-09344-4}, volume = 23, year = 2020 }
40. Grunert, D., Fehr, J., & Haasdonk, B. (2020). Well-scaled, a-posteriori error estimation for model order reduction of large second-order mechanical systems. ZAMM, 100(8), e201900186. https://doi.org/10.1002/zamm.201900186
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  @article{grunert2020wellscaled, affiliation = {Fehr, J (Corresponding Author), Univ Stuttgart, Inst Engn & Computat Mech, Pfaffenwaldring 9, D-70569 Stuttgart, Germany. Grunert, Dennis; Fehr, Joerg, Univ Stuttgart, Inst Engn & Computat Mech, Pfaffenwaldring 9, D-70569 Stuttgart, Germany. Haasdonk, Bernard, Univ Stuttgart, Inst Appl Anal & Numer Simulat, Pfaffenwaldring 57, D-70569 Stuttgart, Germany.}, author = {Grunert, Dennis and Fehr, Jörg and Haasdonk, Bernard}, doi = {10.1002/zamm.201900186}, issn = {{0044-2267} and {1521-4001}}, journal = {ZAMM}, language = {eng}, number = 8, orcid-numbers = {Fehr, Jorg/0000-0003-2850-1440}, pages = {e201900186}, publisher = {Wiley}, research-areas = {Mathematics; Mechanics}, title = {Well-scaled, a-posteriori error estimation for model order reduction of large second-order mechanical systems}, unique-id = {ISI:000542744100001}, volume = 100, year = 2020 }
41. Haas, T., de Rijk, B., & Schneider, G. (2020). MODULATION EQUATIONS NEAR THE ECKHAUS BOUNDARY: THE KdV EQUATION. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 52(6), 5389–5421. https://doi.org/10.1137/19M1266873
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  @article{WOS:000600695200003, abstract = {We are interested in the description of small modulations in time and space of wave-train solutions to the complex Ginzburg-Landau equation partial derivative(T)Psi = (1 + i alpha)partial derivative(2)(X)Psi + Psi - (1+i beta)Psi vertical bar Psi vertical bar(2) near the Eckhaus boundary, that is, when the wave train is near the threshold of its first instability. Depending on the parameters of, alpha, beta, a number of modulation equations can he derived, such as the KdV equation, the Cahn-Hilliard equation, and a family of Ginzburg-Landau based amplitude equations. Here we establish error estimates showing that the Korteweg-de Vries (KdV) approximation makes correct predictions in a certain parameter regime. Our proof is based on energy estimates and exploits the conservation law structure of the critical mode. In order to improve linear damping, we work in spaces of analytic functions.}, address = {3600 UNIV CITY SCIENCE CENTER, PHILADELPHIA, PA 19104-2688 USA}, affiliation = {Haas, T (Corresponding Author), Univ Stuttgart, Inst Anal Dynam \& Modellierung IADM, D-70569 Stuttgart, Germany. Haas, Tobias; de Rijk, Bjorn; Schneider, Guido, Univ Stuttgart, Inst Anal Dynam \& Modellierung IADM, D-70569 Stuttgart, Germany.}, author = {Haas, Tobias and de Rijk, Bjorn and Schneider, Guido}, author-email = {tobias.haas@mathematik.uni-stuttgart.de bjoern.derijk@mathematik.uni-stuttgart.de guido.schneider@mathematik.uni-stuttgart.de}, da = {2021-08-10}, doc-delivery-number = {PH9AE}, doi = {10.1137/19M1266873}, eissn = {1095-7154}, funding-acknowledgement = {Deutsche Forschungsgemeinschaft (DFG)German Research Foundation (DFG) {[}CRC 1173]}, funding-text = {The work of the authors was supported by the Deutsche Forschungsgemeinschaft (DFG) grant CRC 1173.}, issn = {0036-1410}, journal = {SIAM JOURNAL ON MATHEMATICAL ANALYSIS}, journal-iso = {SIAM J. Math. Anal.}, language = {English}, number = 6, number-of-cited-references = {35}, oa = {Green Published, Green Submitted}, pages = {5389-5421}, publisher = {SIAM PUBLICATIONS}, research-areas = {Mathematics}, times-cited = {0}, title = {MODULATION EQUATIONS NEAR THE ECKHAUS BOUNDARY: THE KdV EQUATION}, type = {Article}, unique-id = {WOS:000600695200003}, usage-count-last-180-days = {0}, usage-count-since-2013 = {0}, volume = 52, web-of-science-categories = {Mathematics, Applied}, year = 2020 }
42. Haas, T., & Schneider, G. (2020). Failure of the N-wave interaction approximation without imposing periodic boundary conditions. ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 100(6), Article 6. https://doi.org/10.1002/zamm.201900230
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  @article{WOS:000524281800001, abstract = {The N-wave interaction (NWI) system appears as an amplitude system in the description of N nonlinearly interacting and linearly transported wave packets in dispersive wave systems such as the water wave problem or problems in nonlinear optics. The purpose of this paper is twofold. First we give a new simplified proof for the failure of the NWI approximation in case of resonances which are located at integer multiples of a basic wave number k(0) in the original 2 pi/k0-spatially periodic dispersive wave system. Secondly, we give a first rigorous proof that an amplitude system fails in the description of an original system, without imposing periodic boundary conditions on the original system.}, address = {POSTFACH 101161, 69451 WEINHEIM, GERMANY}, affiliation = {Schneider, G (Corresponding Author), Univ Stuttgart, Inst Anal Dynam \& Modellierung, Pfaffenwaldring 57, D-70569 Stuttgart, Germany. Haas, Tobias; Schneider, Guido, Univ Stuttgart, Inst Anal Dynam \& Modellierung, Pfaffenwaldring 57, D-70569 Stuttgart, Germany.}, author = {Haas, Tobias and Schneider, Guido}, doi = {10.1002/zamm.201900230}, journal = {ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK}, language = {English}, month = {06}, number = 6, publisher = {WILEY-V C H VERLAG GMBH}, title = {Failure of the N-wave interaction approximation without imposing periodic boundary conditions}, type = {Article}, volume = 100, year = 2020 }
43. Haasdonk, B., Hamzi, B., Santin, G., & Wittwar, D. (2020). Greedy kernel methods for center manifold approximation. In Spectral and high order methods for partial differential equations---ICOSAHOM 2018 (Bd. 134, S. 95--106). Springer, Cham. https://doi.org/10.1007/978-3-030-39647-3\_6
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  @incollection{MR4143288, author = {Haasdonk, Bernard and Hamzi, Boumediene and Santin, Gabriele and Wittwar, Dominik}, booktitle = {Spectral and high order methods for partial differential equations---{ICOSAHOM} 2018}, doi = {10.1007/978-3-030-39647-3\_6}, mrclass = {37M21}, mrnumber = {4143288}, pages = {95--106}, publisher = {Springer, Cham}, series = {Lect. Notes Comput. Sci. Eng.}, title = {Greedy kernel methods for center manifold approximation}, url = {https://doi.org/10.1007/978-3-030-39647-3_6}, volume = 134, year = 2020 }
44. Hilder, B. (2020). Modulating traveling fronts for the Swift-Hohenberg equation in the case of an additional conservation law. Journal of Differential Equations, 269(5), 4353--4380. https://doi.org/10.1016/j.jde.2020.03.033
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  @article{Hilder_2020, author = {Hilder, Bastian}, doi = {10.1016/j.jde.2020.03.033}, journal = {Journal of Differential Equations}, month = {08}, number = 5, pages = {4353--4380}, publisher = {Elsevier {BV}}, title = {Modulating traveling fronts for the Swift-Hohenberg equation in the case of an additional conservation law}, url = {https://doi.org/10.1016%2Fj.jde.2020.03.033}, volume = 269, year = 2020 }
45. Hitz, T., Keim, J., Munz, C.-D., & Rohde, C. (2020). A parabolic relaxation model for the Navier-Stokes-Korteweg equations. J. Comput. Phys., 421, 109714. https://doi.org/10.1016/j.jcp.2020.109714
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  @article{HITZ2020109714, abstract = {The isothermal Navier-Stokes-Korteweg system is a classical diffuse interface model for compressible two-phase flow which grounds in Van Der Waals' theory of capillarity. However, the numerical solution faces two major challenges: due to a third-order dispersion contribution in the momentum equations, extended numerical stencils are required for the flux calculation. Furthermore, the equation of state given by a Van-der-Waals law, exhibits non-monotone behaviour in the two-phase state space leading to imaginary eigenvalues of the Jacobian of the first-order fluxes. In this work a lower-order parabolic relaxation model is used to approximate solutions of the classical NSK equations. Whereas an additional parabolic evolution equation for the relaxation variable has to be solved, the system involves no differential operator of higher as second order. The use of a modified pressure function guarantees that the first-order fluxes remain hyperbolic. Altogether, the relaxation system is directly accessible for standard compressible flow solvers. We use the higher-order Discontinuous Galerkin spectral element method as realized in the open source code FLEXI. The relaxation model is validated against solutions of the original NSK model for a variety of 1D and 2D test cases. Three-dimensional simulations of head-on droplet collisions for a range of different collision Weber numbers underline the capability of the approach.}, author = {Hitz, Timon and Keim, Jens and Munz, Claus-Dieter and Rohde, Christian}, doi = {https://doi.org/10.1016/j.jcp.2020.109714}, issn = {0021-9991}, journal = {J. Comput. Phys.}, pages = 109714, title = {A parabolic relaxation model for the Navier-Stokes-Korteweg equations}, url = {http://www.sciencedirect.com/science/article/pii/S0021999120304885}, volume = 421, year = 2020 }
46. Holicki, T., & Scherer, C. W. (2020). Output-Feedback Synthesis for a Class of Aperiodic Impulsive Systems. IFAC-PapersOnline, 53(2), 7299–7304. https://doi.org/10.1016/j.ifacol.2020.12.981
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  @inproceedings{holicki2019outputfeedback, abstract = {We derive novel criteria for designing stabilizing dynamic output-feedback controllers for a class of aperiodic impulsive systems subject to a range dwell-time condition. Our synthesis conditions are formulated as clock-dependent linear matrix inequalities (LMIs) which can be solved numerically, e.g., by using matrix sum-of-squares relaxation methods. We show that our results allow us to design dynamic output-feedback controllers for aperiodic sample-data systems and illustrate the proposed approach by means of a numerical example.}, author = {Holicki, Tobias and Scherer, Carsten W.}, booktitle = {{IFAC}-{P}apers{O}nline}, doi = {10.1016/j.ifacol.2020.12.981}, number = 2, pages = {7299-7304}, title = {Output-Feedback Synthesis for a Class of Aperiodic Impulsive Systems}, url = {https://doi.org/10.1016/j.ifacol.2020.12.981}, volume = 53, year = 2020 }
47. Holzmüller, D., & Steinwart, I. (2020). Training Two-Layer ReLU Networks with Gradient Descent is Inconsistent. Fakultät für Mathematik und Physik, Universität Stuttgart.
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  @techreport{HoStXXa, author = {Holzm{\"u}ller, D. and Steinwart, I.}, institution = {Fakult{\"a}t f{\"u}r Mathematik und Physik, Universit{\"at} Stuttgart}, note = {\url{https://arxiv.org/abs/2002.04861}}, title = {Training Two-Layer {ReLU} Networks with Gradient Descent is Inconsistent}, year = 2020 }
48. Holzmüller, D., & Steinwart, I. (2020). Training two-layer ReLU networks with gradient descent is inconsistent. arXiv:2002.04861. https://arxiv.org/abs/2002.04861
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  @article{holzmuller2020training, author = {Holzmüller, David and Steinwart, Ingo}, journal = {arXiv:2002.04861}, title = {Training two-layer {ReLU} networks with gradient descent is inconsistent}, url = {https://arxiv.org/abs/2002.04861}, year = 2020 }
49. Jentsch, T., & Weingart, G. (2020). RIEMANNIAN AND KAHLERIAN NORMAL COORDINATES. ASIAN JOURNAL OF MATHEMATICS, 24(3), 369–416.
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  @article{WOS:000580661800001, abstract = {In every point of a Kahler manifold there exist special holomorphic coordinates well adapted to the underlying geometry. Comparing these Kahler normal coordinates with the Riemannian normal coordinates defined via the exponential map we prove that their difference is a universal power series in the curvature tensor and its iterated covariant derivatives and devise an algorithm to calculate this power series to arbitrary order. As a byproduct we generalize Kahler normal coordinates to the class of complex affine manifolds with (1, 1)-curvature tensor. Moreover we describe the Spencer connection on the infinite order Taylor series of the Kahler normal potential and obtain explicit formulas for the Taylor series of all relevant geometric objects on symmetric spaces.}, address = {PO BOX 43502, SOMERVILLE, MA 02143 USA}, affiliation = {Jentsch, T (Corresponding Author), Univ Stuttgart, Lehrstuhl Geometr, Inst Geometr \& Topol, Fachbereich Math, Pfaffenwaldring 57, D-70569 Stuttgart, Germany. Jentsch, Tillmann, Univ Stuttgart, Lehrstuhl Geometr, Inst Geometr \& Topol, Fachbereich Math, Pfaffenwaldring 57, D-70569 Stuttgart, Germany. Weingart, Gregor, Univ Nacl Autonoma Mexico, Inst Matemat, Unidad Cuernavaca, Ave Univ S-N, Cuernavaca 62210, Morelos, Mexico.}, author = {Jentsch, Tillmann and Weingart, Gregor}, author-email = {tilljentsch@gmail.com}, da = {2021-08-10}, doc-delivery-number = {OE6TV}, eissn = {1945-0036}, issn = {1093-6106}, journal = {ASIAN JOURNAL OF MATHEMATICS}, journal-iso = {Asian J. Math.}, language = {English}, month = {06}, number = 3, number-of-cited-references = {13}, pages = {369-416}, publisher = {INT PRESS BOSTON, INC}, research-areas = {Mathematics}, times-cited = {1}, title = {RIEMANNIAN AND KAHLERIAN NORMAL COORDINATES}, type = {Article}, unique-id = {WOS:000580661800001}, usage-count-last-180-days = {1}, usage-count-since-2013 = {1}, volume = 24, web-of-science-categories = {Mathematics, Applied; Mathematics}, year = 2020 }
50. Kennedy, J. B., & Lang, R. (2020). On the eigenvalues of quantum graph Laplacians with large complex δ couplings. Portugaliae Mathematica. A Journal of the Portuguese Mathematical Society, 77(2), 133–161.
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  @article{kennedy2020eigenvalues, abstract = {"The authors study eigenvalues of the Laplacian (the negative second derivative operator) of a compact metric graph equipped with complex δ-vertex conditions. More precisely: (a) a continuity condition is imposed at each vertex; (b) on a selected set of vertices R, the vertex conditions ∑e∼vj∂∂νf|e(vj)+αjf(vj)=0 are imposed, where the interaction strengths αj are complex parameters and the derivative is taken in the direction towards the vertex; and (c) on the vertices in ∖R, Kirchhoff vertex conditions are imposed. The main focus in this article is on the asymptotic behavior of the (purely discrete) spectrum as certain coefficients αj tend to ∞ in the complex plane. If m of these coefficients tend to infinity within some sector in the open left half-plane while the remaining coefficients tend to infinity in a way such that Reαj remains bounded from below, then the authors show that exactly m eigenvalues diverge away from the positive real semi-axis. Moreover, they provide the asymptotics of these eigenvalues; the leading term is quadratic in the αj, with a coefficient depending on the vertex degrees. As variational principles are not available for the study of such non-self-adjoint problems, the authors use a Birman-Schwinger type characterization of eigenvalues in terms of a parameter-dependent Dirichlet-to-Neumann matrix (or Titchmarsh-Weyl function). In addition, they also obtain estimates for the numerical range and the eigenvalues."}, author = {Kennedy, James B. and Lang, Robin}, journal = {Portugaliae Mathematica. A Journal of the Portuguese Mathematical Society}, language = {English}, number = 2, pages = {133-161}, title = {On the eigenvalues of quantum graph Laplacians with large complex δ couplings.}, volume = 77, year = 2020 }
51. Koch, T., Gläser, D., Weishaupt, K., Ackermann, S., Beck, M., Becker, B., Burbulla, S., Class, H., Coltman, E., Emmert, S., Fetzer, T., Grüninger, C., Heck, K., Hommel, J., Kurz, T., Lipp, M., Mohammadi, F., Scherrer, S., Schneider, M., … Flemisch, B. (2020). DuMux 3 – an open-source simulator for solving flow and transport problems in porous media with a focus on model coupling. Computers & Mathematics with Applications. https://doi.org/10.1016/j.camwa.2020.02.012
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  @article{KOCH2020, abstract = {We present version 3 of the open-source simulator for flow and transport processes in porous media DuMux. DuMux is based on the modular C++ framework Dune (Distributed and Unified Numerics Environment) and is developed as a research code with a focus on modularity and reusability. We describe recent efforts in improving the transparency and efficiency of the development process and community-building, as well as efforts towards quality assurance and reproducible research. In addition to a major redesign of many simulation components in order to facilitate setting up complex simulations in DuMux, version 3 introduces a more consistent abstraction of finite volume schemes. Finally, the new framework for multi-domain simulations is described, and three numerical examples demonstrate its flexibility.}, author = {Koch, Timo and Gläser, Dennis and Weishaupt, Kilian and Ackermann, Sina and Beck, Martin and Becker, Beatrix and Burbulla, Samuel and Class, Holger and Coltman, Edward and Emmert, Simon and Fetzer, Thomas and Grüninger, Christoph and Heck, Katharina and Hommel, Johannes and Kurz, Theresa and Lipp, Melanie and Mohammadi, Farid and Scherrer, Samuel and Schneider, Martin and Seitz, Gabriele and Stadler, Leopold and Utz, Martin and Weinhardt, Felix and Flemisch, Bernd}, doi = {https://doi.org/10.1016/j.camwa.2020.02.012}, issn = {0898-1221}, journal = {Computers & Mathematics with Applications}, title = {DuMux 3 – an open-source simulator for solving flow and transport problems in porous media with a focus on model coupling}, url = {http://www.sciencedirect.com/science/article/pii/S0898122120300791}, year = 2020 }
52. Kohr, M., Mikhailov, S. E., & Wendland, W. L. (2020). Potentials and transmission problems in weighted Sobolev spaces for anisotropic Stokes and Navier–Stokes systems with L∞ strongly elliptic coefficient tensor. Complex Variables and Elliptic Equations, 65(1), 109–140. https://doi.org/10.1080/17476933.2019.1631293
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  @article{kohr2020potentials, abstract = {We obtain well-posedness results in Lp-based weighted Sobolev spaces for a transmission problem for anisotropic Stokes and Navier–Stokes systems with L∞ strongly elliptic coefficient tensor, in complementary Lipschitz domains of Rn, n≥3. The strong ellipticity allows to explore the associated pseudostress setting. First, we use a variational approach that reduces the anisotropic Stokes system in the whole Rn to an equivalent mixed variational formulation with data in Lp-based weighted Sobolev spaces. We show that such mixed variational formulation is well-posed in the space Hp1(Rn)n×Lp(Rn), n≥ 3, for any p in an open interval containing 2. Then similar well-posedness results are obtained for two linear transmission problems. These results are used to define the Newtonian and layer potential operators for the considered anisotropic Stokes system and to obtain mapping properties of these operators. The potentials are employed to show the well-posedness of some linear transmission problems, which then is combined with a fixed point theorem in order to show the well-posedness of a nonlinear transmission problem for the anisotropic Stokes and Navier–Stokes systems in Lp-based weighted Sobolev spaces, whenever the given data are small enough. }, author = {Kohr, Mirela and Mikhailov, Sergey E. and Wendland, Wolfgang L.}, doi = {10.1080/17476933.2019.1631293}, eprint = {https://doi.org/10.1080/17476933.2019.1631293}, journal = {Complex Variables and Elliptic Equations}, number = 1, pages = {109-140}, publisher = {Taylor & Francis}, title = {Potentials and transmission problems in weighted Sobolev spaces for anisotropic Stokes and Navier–Stokes systems with L∞ strongly elliptic coefficient tensor}, volume = 65, year = 2020 }
53. Kollross, A. (2020). Octonions, triality, the exceptional Lie algebra F4 and polar actions on the Cayley hyperbolic plane. International Journal of Mathematics, 31(07), 2050051. https://doi.org/10.1142/s0129167x20500512
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  @article{Kollross_2020, abstract = {Using octonions and the triality property of Spin(8), we find explicit formulae for the Lie brackets of the exceptional simple real Lie algebras f4 and f∗4, i.e. the Lie algebras of the isometry groups of the Cayley projective plane and the Cayley hyperbolic plane. As an application, we determine all polar actions on the Cayley hyperbolic plane which leave a totally geodesic subspace invariant.}, author = {Kollross, Andreas}, doi = {10.1142/s0129167x20500512}, journal = {International Journal of Mathematics}, month = {05}, number = 07, pages = 2050051, publisher = {World Scientific Pub Co Pte Lt}, title = {Octonions, triality, the exceptional Lie algebra F4 and polar actions on the Cayley hyperbolic plane}, url = {https://doi.org/10.1142%2Fs0129167x20500512}, volume = 31, year = 2020 }
54. Magiera, J., Ray, D., Hesthaven, J. S., & Rohde, C. (2020). Constraint-aware neural networks for Riemann problems. J. Comput. Phys., 409(109345), Article 109345. https://doi.org/10.1016/j.jcp.2020.109345
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  @article{magiera2019constraintaware, abstract = {Neural networks are increasingly used in complex (data-driven) simulations as surrogates or for accelerating the computation of classical surrogates. In many applications physical constraints, such as mass or energy conservation, must be satisfied to obtain reliable results. However, standard machine learning algorithms are generally not tailored to respect such constraints. We propose two different strategies to generate constraint-aware neural networks. We test their performance in the context of front-capturing schemes for strongly nonlinear wave motion in compressible fluid flow. Precisely in this context so-called Riemann problems have to be solved as surrogates. Their solution describes the local dynamics of the captured wave front in numerical simulations. Three model problems are considered: a cubic flux model problem, an isothermal two-phase flow model, and the Euler equations. We observe, that constraint-aware neural networks do not only account for the constraint but lead to an improvement of the numerical accuracy of the overall fluid simulation.}, author = {Magiera, Jim and Ray, Deep and Hesthaven, Jan S. and Rohde, Christian}, doi = {https://doi.org/10.1016/j.jcp.2020.109345}, issn = {0021-9991}, journal = {J. Comput. Phys.}, number = 109345, title = {Constraint-aware neural networks for Riemann problems}, url = {https://doi.org/10.1016/j.jcp.2020.109345}, volume = 409, year = 2020 }
55. Maier, D. (2020). BREATHER SOLUTIONS ON DISCRETE NECKLACE GRAPHS. OPERATORS AND MATRICES, 14(3), 767–776. https://doi.org/10.7153/oam-2020-14-48
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  @article{WOS:000576740400011, abstract = {We show the existence of breather solutions in a nonlinear Klein-Gordon system on a discrete graph with periodic junctions. The proof is based on the Theorem of Crandall-Rabinowitz.}, address = {R AUSTRIJE 11, 10000 ZAGREB, CROATIA}, affiliation = {Maier, D (Corresponding Author), Univ Stuttgart, Inst Anal Dynam \& Modellierung, Pfaffenwaldring 57, D-70569 Stuttgart, Germany. Maier, Daniela, Univ Stuttgart, Inst Anal Dynam \& Modellierung, Pfaffenwaldring 57, D-70569 Stuttgart, Germany.}, author = {Maier, Daniela}, author-email = {daniela.maier@mathematik.uni-stuttgart.de}, da = {2021-08-10}, doc-delivery-number = {NY9WS}, doi = {10.7153/oam-2020-14-48}, issn = {1846-3886}, journal = {OPERATORS AND MATRICES}, journal-iso = {Oper. Matrices}, language = {English}, month = {09}, number = 3, number-of-cited-references = {13}, oa = {gold}, pages = {767-776}, publisher = {ELEMENT}, research-areas = {Mathematics}, times-cited = {0}, title = {BREATHER SOLUTIONS ON DISCRETE NECKLACE GRAPHS}, type = {Article}, unique-id = {WOS:000576740400011}, usage-count-last-180-days = {0}, usage-count-since-2013 = {0}, volume = 14, web-of-science-categories = {Mathematics}, year = 2020 }
56. Maier, D. (2020). Construction of breather solutions for nonlinear Klein-Gordon equations on periodic metric graphs. JOURNAL OF DIFFERENTIAL EQUATIONS, 268(6), 2491–2509. https://doi.org/10.1016/j.jde.2019.09.035
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  @article{WOS:000505986500001, abstract = {The purpose of this paper is to construct small-amplitude breather solutions for a nonlinear Klein-Gordon equation posed on a periodic metric graph via spatial dynamics and center manifold reduction. The major difficulty occurs from the irregularity of the solutions. The persistence of the approximately constructed pulse solutions under higher order perturbations is obtained by symmetry and reversibility arguments. (C) 2019 Elsevier Inc. All rights reserved.}, address = {525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA}, affiliation = {Maier, D (Corresponding Author), Univ Stuttgart, Inst Anal Dynam \& Modellierung, Pfaffenwaldring 57, D-70569 Stuttgart, Germany. Maier, Daniela, Univ Stuttgart, Inst Anal Dynam \& Modellierung, Pfaffenwaldring 57, D-70569 Stuttgart, Germany.}, author = {Maier, Daniela}, author-email = {daniela.maier@mathematik.uni-stuttgart.de}, da = {2021-08-10}, doc-delivery-number = {KA7OB}, doi = {10.1016/j.jde.2019.09.035}, eissn = {1090-2732}, issn = {0022-0396}, journal = {JOURNAL OF DIFFERENTIAL EQUATIONS}, journal-iso = {J. Differ. Equ.}, language = {English}, month = {03}, number = 6, number-of-cited-references = {20}, oa = {Green Submitted}, pages = {2491-2509}, publisher = {ACADEMIC PRESS INC ELSEVIER SCIENCE}, research-areas = {Mathematics}, times-cited = {0}, title = {Construction of breather solutions for nonlinear Klein-Gordon equations on periodic metric graphs}, type = {Article}, unique-id = {WOS:000505986500001}, usage-count-last-180-days = {0}, usage-count-since-2013 = {6}, volume = 268, web-of-science-categories = {Mathematics}, year = 2020 }
57. Michalowsky, S., Scherer, C., & Ebenbauer, C. (2020). Robust and structure exploiting optimisation algorithms: An integral quadratic constraint approach. International Journal of Control, 2020, 1–24. https://doi.org/10.1080/00207179.2020.1745286
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  @article{michalowsky2020robust, affiliation = {Michalowsky, S (Reprint Author), Univ Stuttgart, Inst Syst Theory & Automat Control, Stuttgart, Germany. Michalowsky, Simon; Ebenbauer, Christian, Univ Stuttgart, Inst Syst Theory & Automat Control, Stuttgart, Germany. Scherer, Carsten, Univ Stuttgart, Math Syst Theory, Stuttgart, Germany.}, author = {Michalowsky, Simon and Scherer, Carsten and Ebenbauer, Christian}, doi = {10.1080/00207179.2020.1745286}, journal = {International Journal of Control}, pages = {1-24}, publisher = {Taylor & Francis}, research-areas = {Automation & Control Systems}, title = {Robust and structure exploiting optimisation algorithms: {A}n integral quadratic constraint approach}, unique-id = {ISI:000523330900001}, url = {https://doi.org/10.1080%2f00207179.2020.1745286}, volume = 2020, year = 2020 }
58. Minorics, L. A. (2020). Spectral asymptotics for Krein-Feller operators with respect to V-variable Cantor measures. Forum Mathematicum, 32(1), 121–138. https://doi.org/10.1515/forum-2018-0188
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  @article{WOS:000505560100008, abstract = {We study the limiting behavior of the Dirichlet and Neumann eigenvalue counting function of generalized second-order differential operators d/d mu d/dx, where mu is a finite atomless Borel measure on some compact interval {[}a, b]. Therefore, we firstly recall the results of the spectral asymptotics for these operators received so far. Afterwards, we make a proposition about the convergence behavior for so-called random V-variable Cantor measures.}, address = {GENTHINER STRASSE 13, D-10785 BERLIN, GERMANY}, affiliation = {Minorics, LA (Corresponding Author), Univ Stuttgart, Inst Stochast \& Applicat, Pfaffenwaldring 57, D-70569 Stuttgart, Germany. Minorics, Lenon Alexander, Univ Stuttgart, Inst Stochast \& Applicat, Pfaffenwaldring 57, D-70569 Stuttgart, Germany.}, author = {Minorics, Lenon Alexander}, author-email = {lenon.minorics@mathematik.uni-stuttgart.de}, da = {2021-08-10}, doc-delivery-number = {KA1LK}, doi = {10.1515/forum-2018-0188}, eissn = {1435-5337}, funding-acknowledgement = {research training group ``Spectral Theory and Dynamics of Quantum Systems 1838{''} (DFG)German Research Foundation (DFG)}, funding-text = {Financial support of the research training group ``Spectral Theory and Dynamics of Quantum Systems 1838{''} (DFG) is gratefully acknowledged.}, issn = {0933-7741}, journal = {Forum Mathematicum}, journal-iso = {Forum Math.}, language = {English}, month = {01}, number = 1, number-of-cited-references = {22}, pages = {121-138}, publisher = {de Gruyter}, research-areas = {Mathematics}, times-cited = {0}, title = {Spectral asymptotics for Krein-Feller operators with respect to V-variable Cantor measures}, unique-id = {WOS:000505560100008}, usage-count-last-180-days = {0}, usage-count-since-2013 = {0}, volume = 32, web-of-science-categories = {Mathematics, Applied; Mathematics}, year = 2020 }
59. Naveira, A. M., & Semmelmann, U. (2020). Conformal Killing forms on nearly Kähler manifolds. Differential Geom. Appl., 70, 101628, 9. https://doi.org/10.1016/j.difgeo.2020.101628
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  @article{MR4080837, author = {Naveira, Antonio M. and Semmelmann, Uwe}, doi = {10.1016/j.difgeo.2020.101628}, fjournal = {Differential Geometry and its Applications}, issn = {0926-2245}, journal = {Differential Geom. Appl.}, mrclass = {53C15 (53C10 58J50)}, mrnumber = {4080837}, mrreviewer = {Vitaly V. Balashchenko}, pages = {101628, 9}, title = {Conformal Killing forms on nearly Kähler manifolds}, url = {https://doi.org/10.1016/j.difgeo.2020.101628}, volume = 70, year = 2020 }
60. Oesting, M., & Schnurr, A. (2020). Ordinal patterns in clusters of subsequent extremes of regularly varying time series. Extremes, 23(4), 521--545. https://doi.org/10.1007/s10687-020-00391-2
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  @article{MR4165031, author = {Oesting, Marco and Schnurr, Alexander}, doi = {10.1007/s10687-020-00391-2}, fjournal = {Extremes. Statistical Theory and Applications in Science, Engineering and Economics}, issn = {1386-1999}, journal = {Extremes}, mrclass = {62M10 (62G32)}, mrnumber = {4165031}, number = 4, pages = {521--545}, title = {Ordinal patterns in clusters of subsequent extremes of regularly varying time series}, url = {https://doi.org/10.1007/s10687-020-00391-2}, volume = 23, year = 2020 }
61. Oladyshkin, S., Mohammadi, F., Kroeker, I., & Nowak, W. (2020). Bayesian(3)Active Learning for the Gaussian Process Emulator Using Information Theory. ENTROPY, 22(8), Article 8. https://doi.org/10.3390/e22080890
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  @article{WOS:000567292000001, abstract = {Gaussian process emulators (GPE) are a machine learning approach that replicates computational demanding models using training runs of that model. Constructing such a surrogate is very challenging and, in the context of Bayesian inference, the training runs should be well invested. The current paper offers a fully Bayesian view on GPEs for Bayesian inference accompanied by Bayesian active learning (BAL). We introduce three BAL strategies that adaptively identify training sets for the GPE using information-theoretic arguments. The first strategy relies on Bayesian model evidence that indicates the GPE's quality of matching the measurement data, the second strategy is based on relative entropy that indicates the relative information gain for the GPE, and the third is founded on information entropy that indicates the missing information in the GPE. We illustrate the performance of our three strategies using analytical- and carbon-dioxide benchmarks. The paper shows evidence of convergence against a reference solution and demonstrates quantification of post-calibration uncertainty by comparing the introduced three strategies. We conclude that Bayesian model evidence-based and relative entropy-based strategies outperform the entropy-based strategy because the latter can be misleading during the BAL. The relative entropy-based strategy demonstrates superior performance to the Bayesian model evidence-based strategy.}, address = {ST ALBAN-ANLAGE 66, CH-4052 BASEL, SWITZERLAND}, affiliation = {Oladyshkin, S (Corresponding Author), Univ Stuttgart, Inst Modelling Hydraul \& Environm Syst SC SimTech, Dept Stochast Simulat \& Safety Res Hydrosyst, Pfaffenwaldring 5a, D-70569 Stuttgart, Germany. Oladyshkin, Sergey; Kroeker, Ilja; Nowak, Wolfgang, Univ Stuttgart, Inst Modelling Hydraul \& Environm Syst SC SimTech, Dept Stochast Simulat \& Safety Res Hydrosyst, Pfaffenwaldring 5a, D-70569 Stuttgart, Germany. Mohammadi, Farid, Univ Stuttgart, Inst Modelling Hydraul \& Environm Syst SC SimTech, Dept Hydromech \& Modelling Hydrosyst, Pfaffenwaldring 61, D-70569 Stuttgart, Germany.}, article-number = {890}, author = {Oladyshkin, Sergey and Mohammadi, Farid and Kroeker, Ilja and Nowak, Wolfgang}, author-email = {sergey.oladyshkin@iws.uni-stuttgart.de farid.mohammadi@iws.uni-stuttgart.de ilja.kroeker@iws.uni-stuttgart.de wolfgang.nowak@iws.uni-stuttgart.de}, da = {2021-08-10}, doc-delivery-number = {NL3AH}, doi = {10.3390/e22080890}, eissn = {1099-4300}, funding-acknowledgement = {Deutsche Forschungsgemeinschaft (DFG, German Research Foundation)German Research Foundation (DFG) {[}327154368-SFB 1313]; German Research Foundation within the Cluster of Excellence ``Data-Integrated Simulation Science{''} at the University of Stuttgart {[}EXC 2075]; German Research FoundationGerman Research Foundation (DFG) {[}SFB 1313, 327154368]}, funding-text = {This paper was funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation)-Project Number 327154368-SFB 1313. The authors would like to thank the German Research Foundation for Financial support of the project within the Cluster of Excellence ``Data-Integrated Simulation Science{''} (EXC 2075) at the University of Stuttgart and for supporting this work by funding SFB 1313, Project Number 327154368.}, journal = {ENTROPY}, journal-iso = {Entropy}, language = {English}, month = {08}, number = 8, number-of-cited-references = {94}, oa = {gold, Green Published}, orcid-numbers = {Mohammadi, Farid/0000-0003-2387-4694 Kroker, Ilja/0000-0003-0360-5307 Nowak, Wolfgang/0000-0003-2583-8865 Oladyshkin, Sergey/0000-0003-4676-5685}, publisher = {MDPI}, research-areas = {Physics}, researcherid-numbers = {Nowak, Wolfgang/C-6487-2011}, times-cited = {3}, title = {Bayesian(3)Active Learning for the Gaussian Process Emulator Using Information Theory}, type = {Article}, unique-id = {WOS:000567292000001}, usage-count-last-180-days = {0}, usage-count-since-2013 = {0}, volume = 22, web-of-science-categories = {Physics, Multidisciplinary}, year = 2020 }
62. Ostrowski, L., & Rohde, C. (2020). Compressible multicomponent flow in porous media with Maxwell-Stefan diffusion. Math. Meth. Appl. Sci., 43(7), 4200–4221. https://doi.org/10.1002/mma.6185
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  @article{OstrowskiRohde2020, abstract = {We introduce a Darcy‐scale model to describe compressible multicomponent flow in a fully saturated porous medium. In order to capture cross‐diffusive effects between the different species correctly, we make use of the Maxwell–Stefan theory in a thermodynamically consistent way. For inviscid flow, the model turns out to be a nonlinear system of hyperbolic balance laws. We show that the dissipative structure of the Maxwell‐Stefan operator permits to guarantee the existence of global classical solutions for initial data close to equilibria. Furthermore, it is proven by relative entropy techniques that solutions of the Darcy‐scale model tend in a certain long‐time regime to solutions of a parabolic limit system.}, author = {Ostrowski, Lukas and Rohde, Christian}, doi = {10.1002/mma.6185}, journal = {Math. Meth. Appl. Sci. }, number = 7, pages = {4200-4221}, title = {Compressible multicomponent flow in porous media with Maxwell-Stefan diffusion}, url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.6185}, volume = 43, year = 2020 }
63. Ostrowski, L., Massa, F. C., & Rohde, C. (2020). A phase field approach to compressible droplet impingement. In G. Lamanna, S. Tonini, G. E. Cossali, & B. Weigand (Hrsg.), Droplet Interactions and Spray Processes (S. 113–126). Springer International Publishing. https://doi.org/10.1007/978-3-030-33338-6_9
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  BibTeX
  @inproceedings{10.1007/978-3-030-33338-6_9, abstract = {We consider the impingement of a droplet onto a wall with high impact speed. To model this process we favour a diffuse-interface concept. Precisely, we suggest a compressible Navier--Stokes--Allen--Cahn model following [5]. Basic properties of the model are discussed. To cope with the fluid-wall interaction, we derive thermodynamically consistent boundary conditions that account for dynamic contact angles. We briefly discuss a discontinuous Galerkin scheme which approximates the energy dissipation of the system exactly and illustrate the results with a series of numerical simulations. Currently, these simulations are restricted to static contact angle boundary conditions.}, address = {Cham}, author = {Ostrowski, Lukas and Massa, F. C. and Rohde, Christian}, booktitle = {Droplet Interactions and Spray Processes}, editor = {Lamanna, G. and Tonini, S. and Cossali, G. E. and Weigand, B.}, isbn = {978-3-030-33338-6}, pages = {113-126}, publisher = {Springer International Publishing}, title = {A phase field approach to compressible droplet impingement}, url = {https://doi.org/10.1007/978-3-030-33338-6_9}, year = 2020 }
64. Ostrowski, L., & Rohde, C. (2020). Phase field modelling for compressible droplet impingement. In A. Bressan, M. Lewicka, D. Wang, & Y. Zheng (Hrsg.), Hyperbolic Problems: Theory, Numerics, Applications. Proceedings of the Seventeenth International Conference on Hyperbolic Problems 2018 (Bd. 10, S. 586–593). AIMS Series on Applied Mathematics. https://www.aimsciences.org/fileAIMS/cms/news/info/upload//c0904f1f-97d5-451f-b068-25f1612b6852.pdf
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  @inproceedings{ostrowski2020phase, abstract = {We consider the impingement of a droplet onto a wall with high im-pact speed. For this purpose an isothermal Navier–Stokes–Allen–Cahn model[5] is used. Properties of the model are discussed. In order to solve the systemnumerically we introduce an energy consistent discontinuous Galerkin schemeand show a numerical example of droplet impact.}, author = {Ostrowski, Lukas and Rohde, Christian}, booktitle = {Hyperbolic Problems: Theory, Numerics, Applications. Proceedings of the Seventeenth International Conference on Hyperbolic Problems 2018}, editor = {Bressan, Alberto and Lewicka, Marta and Wang, Dehua and Zheng, Yuxi}, pages = {586-593}, publisher = {AIMS Series on Applied Mathematics}, title = {Phase field modelling for compressible droplet impingement }, url = {https://www.aimsciences.org/fileAIMS/cms/news/info/upload//c0904f1f-97d5-451f-b068-25f1612b6852.pdf}, volume = 10, year = 2020 }
65. Pelinovsky, D. E., & Schneider, G. (2020). The monoatomic FPU system as a limit of a diatomic FPU system. Appl. Math. Lett., 107, 7.
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  BibTeX
  @article{zbMATH07210322, author = {{Pelinovsky}, Dmitry E. and {Schneider}, Guido}, fjournal = {{Applied Mathematics Letters}}, issn = {0893-9659}, journal = {{Appl. Math. Lett.}}, language = {English}, msc2010 = {35Q82 82C20 37K40 37K60}, note = {Id/No 106387}, pages = 7, publisher = {Elsevier (Pergamon), Oxford}, title = {{The monoatomic FPU system as a limit of a diatomic FPU system}}, volume = 107, year = 2020, zbl = {1442.35456} }
66. Polyakova, A. P., Svetov, I. E., & Hahn, B. N. (2020). The Singular Value Decomposition of the Operators of the Dynamic Ray Transforms Acting on 2D Vector Fields. In Y. D. Sergeyev & D. E. Kvasov (Hrsg.), Numerical Computations: Theory and Algorithms (S. 446--453). Springer International Publishing. https://doi.org/10.1007/978-3-030-40616-5_42
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  BibTeX
  @inproceedings{10.1007/978-3-030-40616-5_42, abstract = {The problem of dynamic 2D vector tomography is considered. Object motion is a combination of rotation and shifting. Properties of the dynamic ray transform operators are investigated. Singular value decomposition of the operators is constructed with usage of classic orthogonal polynomials.}, address = {Cham}, author = {Polyakova, Anna P. and Svetov, Ivan E. and Hahn, Bernadette N.}, booktitle = {Numerical Computations: Theory and Algorithms}, doi = {10.1007/978-3-030-40616-5_42}, editor = {Sergeyev, Yaroslav D. and Kvasov, Dmitri E.}, isbn = {978-3-030-40616-5}, pages = {446--453}, publisher = {Springer International Publishing}, title = {The Singular Value Decomposition of the Operators of the Dynamic Ray Transforms Acting on 2D Vector Fields}, url = {https://link.springer.com/chapter/10.1007/978-3-030-40616-5_42}, year = 2020 }
67. Rigaud, G., & Hahn, B. N. (2020). Reconstruction algorithm for 3D Compton scattering imaging with incomplete data. Inverse Problems in Science and Engineering, 29(7), 967--989. https://doi.org/10.1080/17415977.2020.1815723
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  @article{Rigaud_2020, author = {Rigaud, G. and Hahn, B. N.}, doi = {10.1080/17415977.2020.1815723}, journal = {Inverse Problems in Science and Engineering}, number = 7, pages = {967--989}, publisher = {Informa {UK} Limited}, title = {Reconstruction algorithm for 3D Compton scattering imaging with incomplete data}, url = {https://doi.org/10.1080/17415977.2020.1815723}, volume = 29, year = 2020 }
68. Rohde, C., & von Wolff, L. (2020). Homogenization of non-local Navier-Stokes-Korteweg equations for compressible liquid-vapour flow in porous media. SIAM J. Math. Anal., 52(6), 6155–6179. https://doi.org/10.1137/19M1242434
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  @article{rohdevwolff20, author = {Rohde, Christian and von Wolff, Lars}, doi = {10.1137/19M1242434}, issn = {0036-1410}, journal = {SIAM J. Math. Anal.}, mrclass = {76M50 (76N99 76T10)}, mrnumber = {4182904}, number = 6, pages = {6155-6179}, title = {Homogenization of non-local Navier-Stokes-Korteweg equations for compressible liquid-vapour flow in porous media}, url = {https://doi.org/10.1137/19M1242434}, volume = 52, year = 2020 }
69. Rybak, I., & Metzger, S. (2020). A dimensionally reduced Stokes-Darcy model for fluid flow in fractured porous media. Appl. Math. Comp., 384. https://doi.org/10.1016/j.amc.2020.125260
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  @article{Rybak_Metzger_18, author = {Rybak, I. and Metzger, S.}, doi = {10.1016/j.amc.2020.125260}, journal = {Appl. Math. Comp.}, title = {A dimensionally reduced Stokes-Darcy model for fluid flow in fractured porous media}, volume = 384, year = 2020 }
70. Rösinger, C. A., & Scherer, C. W. (2020). Lifting to Passivity for $H_2$-Gain-Scheduling Synthesis with Full Block Scalings. IFAC-PapersOnline, 53(2), 7292–7298. https://doi.org/10.1016/j.ifacol.2020.12.570
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  BibTeX
  @inproceedings{rosinger2020lifting, author = {R{\"o}singer, C. A. and Scherer, C. W.}, booktitle = {{IFAC}-{P}apers{O}nline}, doi = {10.1016/j.ifacol.2020.12.570}, number = 2, pages = {7292-7298}, title = {Lifting to Passivity for ${H}_2$-Gain-Scheduling Synthesis with Full Block Scalings}, url = {https://doi.org/10.1016/j.ifacol.2020.12.570}, volume = 53, year = 2020 }
71. Schneider, G. (2020). The KdV approximation for a system with unstable resonances. Math. Methods Appl. Sci., 43(6), 3185--3199.
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  @article{zbMATH07245399, author = {{Schneider}, Guido}, fjournal = {{Mathematical Methods in the Applied Sciences}}, issn = {0170-4214; 1099-1476/e}, journal = {{Math. Methods Appl. Sci.}}, language = {English}, msc2010 = {35Q53 35C20 35B34}, number = 6, pages = {3185--3199}, publisher = {Wiley (Wiley-Blackwell), Chichester}, title = {{The KdV approximation for a system with unstable resonances}}, volume = 43, year = 2020, zbl = {1454.35325} }
72. Semmelmann, U., Wang, C., & Wang, M. Y.-K. (2020). On the linear stability of nearly Kähler 6-manifolds. Ann. Global Anal. Geom., 57(1), 15--22. https://doi.org/10.1007/s10455-019-09686-5
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  @article{MR4057449, author = {Semmelmann, Uwe and Wang, Changliang and Wang, M. Y.-K.}, doi = {10.1007/s10455-019-09686-5}, fjournal = {Annals of Global Analysis and Geometry}, issn = {0232-704X}, journal = {Ann. Global Anal. Geom.}, mrclass = {53C25 (53C27 53E30)}, mrnumber = {4057449}, number = 1, pages = {15--22}, title = {On the linear stability of nearly Kähler 6-manifolds}, url = {https://doi.org/10.1007/s10455-019-09686-5}, volume = 57, year = 2020 }
73. Steinwart, I. (2020). Reproducing Kernel Hilbert Spaces Cannot Contain all Continuous Functions on a Compact Metric Space. Fakultät für Mathematik und Physik, Universität Stuttgart.
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  BibTeX
  @techreport{SteinwartXXb, author = {Steinwart, I.}, institution = {Fakult{\"a}t f{\"u}r Mathematik und Physik, Universit{\"at} Stuttgart}, note = {\url{https://arxiv.org/abs/2002.03171}}, title = {Reproducing Kernel {H}ilbert Spaces Cannot Contain all Continuous Functions on a Compact Metric Space}, year = 2020 }
74. Tielen, R., Möller, M., Göddeke, D., & Vuik, C. (2020). p-multigrid methods and their comparison to h-multigrid methods in Isogeometric Analysis. Computer Methods in Applied Mechanics and Engineering, 372, 113347. https://doi.org/10.1016/j.cma.2020.113347
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  BibTeX
  @article{Tielen:2020:PMG, author = {Tielen, Roel and M{\"o}ller, Matthias and G{\"o}ddeke, Dominik and Vuik, Cornelis}, doi = {10.1016/j.cma.2020.113347}, journal = {Computer Methods in Applied Mechanics and Engineering}, month = {12}, pages = 113347, title = {p-multigrid methods and their comparison to h-multigrid methods in Isogeometric Analysis}, volume = 372, year = 2020 }
75. Vonica, A., Bhat, N., Phan, K., Guo, J., Iancu, L., Weber, J. A., Karger, A., Cain, J. W., Wang, E. C. E., DeStefano, G. M., O’Donnell-Luria, A. H., Christiano, A. M., Riley, B., Butler, S. J., & Luria, V. (2020). Apcdd1 is a dual BMP/Wnt inhibitor in the developing nervous system and skin. Developmental Biology, 464(1), 71--87. https://doi.org/10.1016/j.ydbio.2020.03.015
  - BibTeX
  BibTeX
  @article{Vonica_2020, author = {Vonica, Alin and Bhat, Neha and Phan, Keith and Guo, Jinbai and Iancu, L{\u{a}}crimioara and Weber, Jessica A. and Karger, Amir and Cain, John W. and Wang, Etienne C.E. and DeStefano, Gina M. and O'Donnell-Luria, Anne H. and Christiano, Angela M. and Riley, Bruce and Butler, Samantha J. and Luria, Victor}, doi = {10.1016/j.ydbio.2020.03.015}, journal = {Developmental Biology}, month = {08}, number = 1, pages = {71--87}, publisher = {Elsevier {BV}}, title = {Apcdd1 is a dual {BMP}/Wnt inhibitor in the developing nervous system and skin}, url = {https://doi.org/10.1016%2Fj.ydbio.2020.03.015}, volume = 464, year = 2020 }
2019
1. Ammann, B., Kröncke, K., Weiss, H., & Witt, F. (2019). Holonomy rigidity for Ricci-flat metrics. Math. Z., 291(1–2), 303--311. https://doi.org/10.1007/s00209-018-2084-3
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  BibTeX
  @article{zbMATH07051963, author = {{Ammann}, Bernd and {Kr\"oncke}, Klaus and {Weiss}, Hartmut and {Witt}, Frederik}, doi = {10.1007/s00209-018-2084-3}, fjournal = {{Mathematische Zeitschrift}}, issn = {0025-5874}, journal = {{Math. Z.}}, language = {English}, msc2010 = {53C29 53C24 58D17 53C20}, number = {1-2}, pages = {303--311}, publisher = {Springer, Berlin/Heidelberg}, title = {{Holonomy rigidity for Ricci-flat metrics}}, volume = 291, year = 2019, zbl = {1422.53037} }
2. Armiti-Juber, A., & Rohde, C. (2019). On Darcy-and Brinkman-type models for two-phase flow in asymptotically flat domains. Comput. Geosci., 23(2), 285–303. https://doi.org/10.1007/s10596-018-9756-2
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  BibTeX
  @article{armitijuber2017darcyand, author = {Armiti-Juber, A. and Rohde, C.}, doi = {https://doi.org/10.1007/s10596-018-9756-2}, journal = {Comput. Geosci.}, number = 2, owner = {seusdd}, pages = {285-303}, publisher = {Springer International Publishing}, title = {On Darcy-and Brinkman-type models for two-phase flow in asymptotically flat domains}, url = {https://link.springer.com/article/10.1007/s10596-018-9756-2}, volume = 23, year = 2019 }
3. Armiti-Juber, A., & Rohde, C. (2019). Existence of weak solutions for a nonlocal pseudo-parabolic model for Brinkman two-phase flow in asymptotically flat porous media. J. Math. Anal. Appl., 477(1), 592–612. https://doi.org/10.1016/j.jmaa.2019.04.049
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  BibTeX
  @article{armitit2019existence, author = {Armiti-Juber, Alaa and Rohde, Christian}, doi = {https://doi.org/10.1016/j.jmaa.2019.04.049}, journal = {J. Math. Anal. Appl.}, language = {eng}, number = 1, pages = {592-612}, title = {Existence of weak solutions for a nonlocal pseudo-parabolic model for Brinkman two-phase flow in asymptotically flat porous media}, volume = 477, year = 2019 }
4. Baggio, G., Zampieri, S., & Scherer, C. W. (2019). Gramian Optimization with Input-Power Constraints. 58th IEEE Conf. Decision and Control, 5686–5691. https://doi.org/10.1109/CDC40024.2019.9029169
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  @inproceedings{noauthororeditorgramian, author = {Baggio, G. and Zampieri, S. and Scherer, C. W.}, booktitle = {58th IEEE Conf. Decision and Control}, doi = {10.1109/CDC40024.2019.9029169}, pages = {5686-5691}, title = {Gramian Optimization with Input-Power Constraints}, url = {https://doi.org/10.1109/CDC40024.2019.9029169}, year = 2019 }
5. Bauer, R., Cummings, P., & Schneider, G. (2019). A model for the periodic water wave problem and its long wave amplitude equations. In Nonlinear water waves. An interdisciplinary interface. Based on the workshop held at the Erwin Schrödinger International Institute for Mathematics and Physics, Vienna, Austria, November 27 -- December 7, 2017 (S. 123--138). Cham: Birkhäuser.
  - BibTeX
  BibTeX
  @incollection{zbMATH07215897, author = {{Bauer}, Roman and {Cummings}, Patrick and {Schneider}, Guido}, booktitle = {{Nonlinear water waves. An interdisciplinary interface. Based on the workshop held at the Erwin Schr\"odinger International Institute for Mathematics and Physics, Vienna, Austria, November 27 -- December 7, 2017}}, isbn = {978-3-030-33535-9/hbk; 978-3-030-33536-6/ebook}, language = {English}, msc2010 = {35Q35 35Q53 35Q55 76B15}, pages = {123--138}, publisher = {Cham: Birkh\"auser}, title = {{A model for the periodic water wave problem and its long wave amplitude equations}}, year = 2019, zbl = {1442.35322} }
6. Bauer, R., Düll, W.-P., & Schneider, G. (2019). The Korteweg--de Vries, Burgers and Whitham limits for a spatially periodic Boussinesq model. Proc. Roy. Soc. Edinburgh Sect. A, 149(1), 191--217. https://doi.org/10.1017/S0308210518000227
  - BibTeX
  BibTeX
  @article{MR3922812, author = {Bauer, Roman and D\"{u}ll, Wolf-Patrick and Schneider, Guido}, doi = {10.1017/S0308210518000227}, fjournal = {Proceedings of the Royal Society of Edinburgh. Section A. Mathematics}, issn = {0308-2105}, journal = {Proc. Roy. Soc. Edinburgh Sect. A}, mrclass = {35Q53 (35B10)}, mrnumber = {3922812}, mrreviewer = {Shuhong Chen}, number = 1, pages = {191--217}, title = {The {K}orteweg--de {V}ries, {B}urgers and {W}hitham limits for a spatially periodic {B}oussinesq model}, url = {https://doi.org/10.1017/S0308210518000227}, volume = 149, year = 2019 }
7. Bhatt, A., Fehr, J., & Haasdonk, B. (2019). Model order reduction of an elastic body under large rigid motion. Proceedings of ENUMATH 2017, Lect. Notes Comput. Sci. Eng.,(126), Article 126. https://doi.org/10.1007/978-3-319-96415-7\_23
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  BibTeX
  @article{bhatt2018model, author = {Bhatt, A. and Fehr, J. and Haasdonk, B.}, doi = {10.1007/978-3-319-96415-7\_23}, editor = {Springer}, journal = {Proceedings of ENUMATH 2017}, number = 126, publisher = {Springer}, title = {Model order reduction of an elastic body under large rigid motion}, url = {https://doi.org/10.1007/978-3-319-96415-7_23}, volume = {Lect. Notes Comput. Sci. Eng., }, year = 2019 }
8. Bhatt, A., Fehr, J., Grunert, D., & Haasdonk, B. (2019). A Posteriori Error Estimation in Model Order Reduction of Elastic Multibody Systems with Large Rigid Motion. In J. Fehr & B. Haasdonk (Hrsg.), IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22–25, 2018. Springer. https://doi.org/DOI:10.1007/978-3-030-21013-7_7
  - BibTeX
  BibTeX
  @inproceedings{Bhatt2018a, author = {Bhatt, A. and Fehr, J. and Grunert, D. and Haasdonk, Bernard}, booktitle = { IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22–25, 2018 }, doi = {DOI:10.1007/978-3-030-21013-7_7}, editor = {Fehr, J. and Haasdonk, B.}, groups = {bhatt}, owner = {bhattah}, publisher = {Springer}, title = {A Posteriori Error Estimation in Model Order Reduction of Elastic Multibody Systems with Large Rigid Motion}, year = 2019 }
9. Bianchi, L. A., Blömker, D., & Schneider, G. (2019). Modulation equation and SPDEs on unbounded domains. Commun. Math. Phys., 371(1), 19--54.
  - BibTeX
  BibTeX
  @article{zbMATH07116092, author = {{Bianchi}, Luigi Amedeo and {Bl\"omker}, Dirk and {Schneider}, Guido}, fjournal = {{Communications in Mathematical Physics}}, issn = {0010-3616; 1432-0916/e}, journal = {{Commun. Math. Phys.}}, language = {English}, msc2010 = {35Q35 76R10 35Q56 35R30 35R60 60H15 35B32 35B36 35B65 35D30 35A01 35A02 60G15}, number = 1, pages = {19--54}, publisher = {Springer, Berlin/Heidelberg}, title = {{Modulation equation and SPDEs on unbounded domains}}, volume = 371, year = 2019, zbl = {1435.35292} }
10. Brünnette, T., Santin, G., & Haasdonk, B. (2019). Greedy Kernel Methods for Accelerating Implicit Integrators for Parametric ODEs. In F. A. Radu, K. Kumar, I. Berre, J. M. Nordbotten, & I. S. Pop (Hrsg.), Numerical Mathematics and Advanced Applications - ENUMATH 2017 (S. 889--896). Springer International Publishing.
  - BibTeX
  BibTeX
  @inproceedings{Bruennette2019, abstract = {We present a novel acceleration method for the solution of parametric ODEs by single-step implicit solvers by means of greedy kernel-based surrogate models. In an offline phase, a set of trajectories is precomputed with a high-accuracy ODE solver for a selected set of parameter samples, and used to train a kernel model which predicts the next point in the trajectory as a function of the last one. This model is cheap to evaluate, and it is used in an online phase for new parameter samples to provide a good initialization point for the nonlinear solver of the implicit integrator. The accuracy of the surrogate reflects into a reduction of the number of iterations until convergence of the solver, thus providing an overall speedup of the full simulation. Interestingly, in addition to providing an acceleration, the accuracy of the solution is maintained, since the ODE solver is still used to guarantee the required precision. Although the method can be applied to a large variety of solvers and different ODEs, we will present in details its use with the Implicit Euler method for the solution of the Burgers equation, which results to be a meaningful test case to demonstrate the method's features.}, address = {Cham}, author = {Br{\"u}nnette, Tim and Santin, Gabriele and Haasdonk, Bernard}, booktitle = {Numerical Mathematics and Advanced Applications - ENUMATH 2017}, editor = {Radu, Florin Adrian and Kumar, Kundan and Berre, Inga and Nordbotten, Jan Martin and Pop, Iuliu Sorin}, isbn = {978-3-319-96415-7}, owner = {santinge}, pages = {889--896}, publisher = {Springer International Publishing}, title = {Greedy Kernel Methods for Accelerating Implicit Integrators for Parametric {ODE}s}, year = 2019 }
11. Buchfink, P., Bhatt, A., & Haasdonk, B. (2019). Symplectic Model Order Reduction with Non-Orthonormal Bases. Mathematical and Computational Applications, 24(2), 43. https://doi.org/10.3390/mca24020043
  - BibTeX
  BibTeX
  @article{buchfink2019symplectic, affiliation = {Buchfink, P (Reprint Author), Univ Stuttgart, Inst Appl Anal & Numer Simulat, D-70569 Stuttgart, Germany. Buchfink, Patrick; Haasdonk, Bernard, Univ Stuttgart, Inst Appl Anal & Numer Simulat, D-70569 Stuttgart, Germany. Bhatt, Ashish, Indian Inst Technol ISM, Dhanbad 826004, Jharkhand, India.}, author = {Buchfink, Patrick and Bhatt, Ashish and Haasdonk, Bernard}, doi = {10.3390/mca24020043}, issn = {{1300-686X} and {2297-8747}}, journal = {Mathematical and Computational Applications}, language = {eng}, number = 2, pages = 43, publisher = {MDPI}, research-areas = {Mathematics}, title = {Symplectic Model Order Reduction with Non-Orthonormal Bases}, unique-id = {ISI:000483307400010}, volume = 24, year = 2019 }
12. Carlberg, K., Brencher, L., Haasdonk, B., & Barth, A. (2019). Data-driven time parallelism via forecasting. SIAM Journal on Scientific Computing, 41(3), B466--B496.
  - BibTeX
  BibTeX
  @article{Carlberg2019Data, author = {Carlberg, Kevin and Brencher, Lukas and Haasdonk, Bernard and Barth, Andrea}, journal = {SIAM Journal on Scientific Computing}, number = 3, pages = {B466--B496}, publisher = {SIAM}, title = {Data-driven time parallelism via forecasting}, volume = 41, year = 2019 }
13. Chirilus-Bruckner, M., Maier, D., & Schneider, G. (2019). Diffusive stability for periodic metric graphs. Math. Nachr., 292(6), 1246--1259.
  - BibTeX
  BibTeX
  @article{zbMATH07082547, author = {{Chirilus-Bruckner}, Martina and {Maier}, Daniela and {Schneider}, Guido}, fjournal = {{Mathematische Nachrichten}}, issn = {0025-584X; 1522-2616/e}, journal = {{Math. Nachr.}}, language = {English}, msc2010 = {35K55 35B35 35B40 35R02}, number = 6, pages = {1246--1259}, publisher = {Wiley (Wiley-VCH), Weinheim}, title = {{Diffusive stability for periodic metric graphs}}, volume = 292, year = 2019, zbl = {1423.35179} }
14. Colombo, R. M., LeFloch, P. G., Rohde, C., & Trivisa, K. (2019). Nonlinear Hyperbolic Problems: Modeling, Analysis, and Numerics. Oberwohlfach Rep., 16, 1419–1497. https://www.ems-ph.org/journals/show_issue.php?issn=1660-8933&vol=16&iss=2
  - BibTeX
  BibTeX
  @article{CLRT_MFO2019, author = {Colombo, R. M. and LeFloch, P. G. and Rohde, C. and Trivisa, K.}, journal = {Oberwohlfach Rep.}, note = {Abstracts from the workshop held June 19--25, 2016, Organized by Rinaldo M. Colombo, Philippe G. LeFloch and Christian Rohde}, number = 16, pages = {1419-1497}, title = {Nonlinear Hyperbolic Problems: Modeling, Analysis, and Numerics}, url = {https://www.ems-ph.org/journals/show_issue.php?issn=1660-8933&vol=16&iss=2}, year = 2019 }
15. Conlon, R., Degeratu, A., & Rochon, F. (2019). Quasi-asymptotically conical Calabi-Yau manifolds. Geom. Topol., 23(1), 29--100. https://doi.org/10.2140/gt.2019.23.29
  - BibTeX
  BibTeX
  @article{MR3921316, author = {Conlon, Ronan and Degeratu, Anda and Rochon, Fr\'{e}d\'{e}ric}, doi = {10.2140/gt.2019.23.29}, fjournal = {Geometry \& Topology}, issn = {1465-3060}, journal = {Geom. Topol.}, mrclass = {53C55 (58J05)}, mrnumber = {3921316}, mrreviewer = {Kang Wei}, note = {With an appendix by Conlon, Rochon and Lars Sektnan}, number = 1, pages = {29--100}, title = {Quasi-asymptotically conical {C}alabi-{Y}au manifolds}, url = {https://doi.org/10.2140/gt.2019.23.29}, volume = 23, year = 2019 }
16. Defant, A., Mastyo, M., Sánchez-Pérez, E. A., & Steinwart, I. (2019). Translation invariant maps on function spaces over locally compact groups. J. Math. Anal. Appl., 470, 795--820. https://doi.org/10.1016/j.jmaa.2018.10.033
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  BibTeX
  @article{DeMaSPSt19a, author = {Defant, A. and {Masty\l o}, M. and {S\'anchez-P\'erez}, E.A. and Steinwart, I.}, doi = {10.1016/j.jmaa.2018.10.033}, journal = {J. Math. Anal. Appl.}, pages = {795--820}, title = {Translation invariant maps on function spaces over locally compact groups}, volume = 470, year = 2019 }
17. Denzel, A., Haasdonk, B., & Kästner, J. (2019). Gaussian Process Regression for Minimum Energy Path Optimization and Transition State Search. J. Phys. Chem. A, 123(44), 9600--9611. https://doi.org/10.1021/acs.jpca.9b08239
  - BibTeX
  BibTeX
  @article{dhk2019, author = {Denzel, A. and Haasdonk, Bernard and K\"astner, J.}, journal = {J. Phys. Chem. A}, number = 44, pages = {9600--9611}, title = {Gaussian Process Regression for Minimum Energy Path Optimization and Transition State Search}, url = {https://doi.org/10.1021/acs.jpca.9b08239}, volume = 123, year = 2019 }
18. Engelke, S., de Fondeville, R., & Oesting, M. (2019). Extremal behaviour of aggregated data with an application to downscaling. Biometrika, 106(1), 127--144. https://doi.org/10.1093/biomet/asy052
  - BibTeX
  BibTeX
  @article{MR3912387, author = {Engelke, Sebastian and de Fondeville, Rapha\"{e}l and Oesting, Marco}, doi = {10.1093/biomet/asy052}, fjournal = {Biometrika}, issn = {0006-3444}, journal = {Biometrika}, mrclass = {62G32 (60G70 62M30)}, mrnumber = {3912387}, mrreviewer = {Krzysztof Podgorski}, number = 1, pages = {127--144}, title = {Extremal behaviour of aggregated data with an application to downscaling}, url = {https://doi.org/10.1093/biomet/asy052}, volume = 106, year = 2019 }
19. Farooq, M., & Steinwart, I. (2019). Learning Rates for Kernel-Based Expectile Regression. Mach. Learn., 108, 203--227. https://doi.org/10.1007/s10994-018-5762-9
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  BibTeX
  @article{FaSt19a, author = {Farooq, M. and Steinwart, I.}, doi = {10.1007/s10994-018-5762-9}, journal = {Mach. Learn.}, note = {\url{https://arxiv.org/abs/1702.07552}}, pages = {203--227}, title = {Learning Rates for Kernel-Based Expectile Regression}, volume = 108, year = 2019 }
20. Föll, R., Haasdonk, B., Hanselmann, M., & Ulmer, H. (2019). Deep Recurrent Gaussian Process with Variational Sparse Spectrum Approximation. https://openreview.net/forum?id=BkgosiRcKm
  - BibTeX
  BibTeX
  @misc{foell2019deep, author = {Föll, Roman and Haasdonk, Bernard and Hanselmann, Markus and Ulmer, Holger}, title = {Deep Recurrent Gaussian Process with Variational Sparse Spectrum Approximation}, url = {https://openreview.net/forum?id=BkgosiRcKm}, year = 2019 }
21. Geck, M. (2019). Eigenvalues and Polynomial Equations. The American Mathematical Monthly, 126(10), 933--935. https://doi.org/10.1080/00029890.2019.1651168
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  BibTeX
  @article{Geck_2019, author = {Geck, Meinolf}, doi = {10.1080/00029890.2019.1651168}, journal = {The American Mathematical Monthly}, month = {11}, number = 10, pages = {933--935}, publisher = {Informa {UK} Limited}, title = {Eigenvalues and Polynomial Equations}, url = {https://doi.org/10.1080%2F00029890.2019.1651168}, volume = 126, year = 2019 }
22. Griesemer, M., & Linden, U. (2019). Spectral theory of the Fermi polaron. Ann. Henri Poincaré, 20(6), 1931--1967. https://doi.org/10.1007/s00023-019-00796-1
  - BibTeX
  BibTeX
  @article{MR3956165, author = {Griesemer, M. and Linden, U.}, doi = {10.1007/s00023-019-00796-1}, fjournal = {Annales Henri Poincar\'{e}. A Journal of Theoretical and Mathematical Physics}, issn = {1424-0637}, journal = {Ann. Henri Poincar\'{e}}, mrclass = {82D05}, mrnumber = {3956165}, number = 6, pages = {1931--1967}, title = {Spectral theory of the {F}ermi polaron}, url = {https://doi.org/10.1007/s00023-019-00796-1}, volume = 20, year = 2019 }
23. Hahn, B. N., & Kienle Garrido, M.-L. (2019). An efficient reconstruction approach for a class of dynamic imaging operators. Inverse Problems, 35(9), 094005. https://doi.org/10.1088/1361-6420/ab178b
  - BibTeX
  BibTeX
  @article{hahn2019efficient, abstract = {This article deals with the problem of recovering an image from tomographic data corrupted by the motion of an object. Using generalized Radon transforms as modeling for the dynamic imaging operators, we present a novel approach for the reconstruction process. The proposed method, motivated by results on microlocal analysis, approximates the solution via a filtered backprojection-type algorithm which has the advantage of being quick to implement. The numerical results applied on dynamic photoacoustic tomography (PAT) data corroborate the efficiency and relevance of the proposed method.}, author = {Hahn, B. N. and Kienle Garrido, M.-L.}, doi = {10.1088/1361-6420/ab178b}, journal = {Inverse Problems}, number = 9, pages = 094005, title = {An efficient reconstruction approach for a class of dynamic imaging operators}, url = {https://doi.org/10.1088/1361-6420/ab178b}, volume = 35, year = 2019 }
24. Hansmann, M., Kohler, M., & Walk, H. (2019). On the strong universal consistency of local averaging regression estimates (vol 71, pg 1233, 2019). ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 71(5), 1265–1269. https://doi.org/10.1007/s10463-018-0687-4
  - BibTeX
  BibTeX
  @article{WOS:000481796100010, address = {TIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY}, affiliation = {Kohler, M (Corresponding Author), Tech Univ Darmstadt, Fachbereich Math, Schlossgartenstr 7, D-64289 Darmstadt, Germany. Hansmann, Matthias; Kohler, Michael, Tech Univ Darmstadt, Fachbereich Math, Schlossgartenstr 7, D-64289 Darmstadt, Germany. Walk, Harro, Univ Stuttgart, Fachbereich Math, Pfaffenwaldring 57, D-70569 Stuttgart, Germany.}, author = {Hansmann, Matthias and Kohler, Michael and Walk, Harro}, author-email = {hansmann@mathematik.tu-darmstadt.de kohler@mathematik.tu-darmstadt.de walk@mathematik.uni-stuttgart.de}, da = {2021-08-10}, doc-delivery-number = {IR9WB}, doi = {10.1007/s10463-018-0687-4}, eissn = {1572-9052}, issn = {0020-3157}, journal = {ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS}, journal-iso = {Ann. Inst. Stat. Math.}, language = {English}, month = {10}, number = 5, number-of-cited-references = {1}, oa = {Bronze}, pages = {1265-1269}, publisher = {SPRINGER HEIDELBERG}, research-areas = {Mathematics}, times-cited = {0}, title = {On the strong universal consistency of local averaging regression estimates (vol 71, pg 1233, 2019)}, type = {Correction}, unique-id = {WOS:000481796100010}, usage-count-last-180-days = {1}, usage-count-since-2013 = {1}, volume = 71, web-of-science-categories = {Statistics \& Probability}, year = 2019 }
25. Heil, K., & Jentsch, T. (2019). A special class of symmetric Killing 2-tensors. JOURNAL OF GEOMETRY AND PHYSICS, 138, 103–123. https://doi.org/10.1016/j.geomphys.2018.12.009
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  BibTeX
  @article{WOS:000461538700008, abstract = {We study symmetric Killing 2-tensors on Riemannian manifolds. We show that several additional conditions can be realized only for Sasakian manifolds and Euclidean spheres. In particular we recover a result of S. Gallot on the characterization of spheres by means of functions satisfying a certain differential equation of order three. (C) 2018 Published by Elsevier B.V.}, address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}, affiliation = {Jentsch, T (Corresponding Author), Univ Stuttgart, Inst Geometrie \& Topol, Fachbereich Math, Paffenwaldring 57, D-70569 Stuttgart, Germany. Heil, Konstantin; Jentsch, Tillmann, Univ Stuttgart, Inst Geometrie \& Topol, Fachbereich Math, Paffenwaldring 57, D-70569 Stuttgart, Germany.}, author = {Heil, Konstantin and Jentsch, Tillmann}, author-email = {Konstantin.Heil@mathematik.uni-stuttgart.de Tillmann.Jentsch@mathematik.uni-stuttgart.de}, da = {2021-08-10}, doc-delivery-number = {HP2XM}, doi = {10.1016/j.geomphys.2018.12.009}, eissn = {1879-1662}, issn = {0393-0440}, journal = {JOURNAL OF GEOMETRY AND PHYSICS}, journal-iso = {J. Geom. Phys.}, language = {English}, month = {04}, number-of-cited-references = {27}, oa = {Green Submitted}, pages = {103-123}, publisher = {ELSEVIER SCIENCE BV}, research-areas = {Mathematics; Physics}, times-cited = {1}, title = {A special class of symmetric Killing 2-tensors}, type = {Article}, unique-id = {WOS:000461538700008}, usage-count-last-180-days = {0}, usage-count-since-2013 = {0}, volume = 138, web-of-science-categories = {Mathematics, Applied; Mathematics; Physics, Mathematical}, year = 2019 }
26. Holicki, T., & Scherer, C. W. (2019). A Homotopy Approach for Robust Output-Feedback Synthesis. Proc. 27th. Med. Conf. Control Autom., 87–93. https://doi.org/10.1109/MED.2019.8798536
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  BibTeX
  @inproceedings{HolSch19, abstract = {We propose a novel approach for output-feedback controller design for linear systems affected by arbitrary fast time-varying uncertainties. Our approach is based on consecutively solving two related robust synthesis problems which by themselves admit convex solutions. The first one is robust full information controller design, while the subsequent one is similar to the robust estimator design problem. The latter includes a homotopy parameter that serves to construct a solution of the output-feedback synthesis problem from a given solution of the full information problem. In contrast to alternative approaches, ours requires to solve just two linear matrix inequalities and generates guaranteed bounds for the achieved performance. We illustrate our results with several numerical examples taken from the literature. }, author = {Holicki, Tobias and Scherer, Carsten W.}, booktitle = {Proc. 27th. Med. Conf. Control Autom.}, doi = {10.1109/MED.2019.8798536}, pages = {87-93}, title = {A Homotopy Approach for Robust Output-Feedback Synthesis}, url = {https://doi.org/10.1109/MED.2019.8798536}, year = 2019 }
27. Holicki, T., & Scherer, C. W. (2019). Stability analysis and output-feedback synthesis of hybrid systems affected by piecewise constant parameters via dynamic resetting scalings. Nonlinear Analysis: Hybrid Systems, 34, 179--208. https://doi.org/10.1016/j.nahs.2019.06.003
  - BibTeX
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  @article{Holicki_2019, author = {Holicki, Tobias and Scherer, Carsten W.}, doi = {10.1016/j.nahs.2019.06.003}, journal = {Nonlinear Analysis: Hybrid Systems}, month = {11}, pages = {179--208}, publisher = {Elsevier {BV}}, title = {Stability analysis and output-feedback synthesis of hybrid systems affected by piecewise constant parameters via dynamic resetting scalings}, url = {https://doi.org/10.1016/j.nahs.2019.06.003}, volume = 34, year = 2019 }
28. Homma, Y., & Semmelmann, U. (2019). The Kernel of the Rarita-Schwinger Operator on Riemannian Spin Manifolds. Comm. Math. Phys., 370(3), 853--871. https://doi.org/10.1007/s00220-019-03324-8
  - BibTeX
  BibTeX
  @article{MR3995921, author = {Homma, Yasushi and Semmelmann, Uwe}, doi = {10.1007/s00220-019-03324-8}, fjournal = {Communications in Mathematical Physics}, issn = {0010-3616}, journal = {Comm. Math. Phys.}, mrclass = {53C27 (32Q20 53C25 53C26)}, mrnumber = {3995921}, mrreviewer = {Roger Nakad}, number = 3, pages = {853--871}, title = {The Kernel of the Rarita-Schwinger Operator on Riemannian Spin Manifolds}, url = {https://doi.org/10.1007/s00220-019-03324-8}, volume = 370, year = 2019 }
29. Höllig, K., & Hörner, J. (2019). Aufgaben und Lösungen zur Höheren Mathematik. - 1. [Aufgabensammlung]. In Aufgaben und Lösungen zur Höheren Mathematik ; 1 (2. Auflage, Bd. 1, S. x, 235 Seiten). Springer Spektrum.
  - BibTeX
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  @book{Höllig2019Aufgabenund, address = {Berlin ; [Heidelberg]}, author = {Höllig, Klaus and Hörner, Jörg}, edition = {2. Auflage}, isbn = {9783662584446}, language = {Deutsch}, note = {Literaturangaben}, pages = {x, 235 Seiten}, publisher = {Springer Spektrum}, series = {Aufgaben und Lösungen zur Höheren Mathematik ; 1}, title = {Aufgaben und Lösungen zur Höheren Mathematik. - 1.}, type = {Aufgabensammlung}, volume = 1, year = 2019 }
30. Kluth, T., Hahn, B. N., & Brandt, C. (2019). Spatio-temporal concentration reconstruction using motion priors in magnetic particle imaging. Proc. Int. Workshop Magnetic Particle Imaging.
  - BibTeX
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  @inproceedings{kluth2019spatiotemporal, abstract = {In this presentation we address the dynamic concentration reconstruction problem in magnetic particle imaging. The tradeoff between the signal-to-noise ratio in the processed data used for the reconstruction and the concentration dynamics of the tracer requires sophisticated reconstruction techniques to avoid motion artifacts. We incorporate motion priors in the concentration reconstruction and as an extra we can obtain an estimate for a flow field.}, author = {Kluth, T. and Hahn, B. N. and Brandt, C.}, booktitle = {Proc. Int. Workshop Magnetic Particle Imaging}, title = {Spatio-temporal concentration reconstruction using motion priors in magnetic particle imaging}, year = 2019 }
31. Kohr, M., & Wendland, W. L. (2019). Boundary value problems for the Brinkman system with L∞ coefficients in Lipschitz domains on compact Riemannian manifolds. A variational approach. Journal de Mathématiques Pures et Appliquées, 131, 17–63. https://doi.org/10.1016/j.matpur.2019.04.002
  - BibTeX
  BibTeX
  @article{kohr2019boundary, author = {Kohr, Mirela and Wendland, Wolfgang L.}, doi = {https://doi.org/10.1016/j.matpur.2019.04.002}, journal = {Journal de Mathématiques Pures et Appliquées}, month = {11}, number = 131, pages = {17-63}, title = {Boundary value problems for the Brinkman system with L∞ coefficients in Lipschitz domains on compact Riemannian manifolds. A variational approach}, year = 2019 }
32. Kohr, M., Mikhailov, S. E., & Wendland, W. L. (2019). Newtonian and Single Layer Potentials for the Stokes System with L∞ Coefficients and the Exterior Dirichlet Problem. In S. Rogosin & A. O. Celebi (Hrsg.), Analysis as a Life: Dedicated to Heinrich Begehr on the Occasion of his 80th Birthday (S. 237--260). Springer International Publishing. https://doi.org/10.1007/978-3-030-02650-9_12
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  BibTeX
  @inbook{Kohr2019, abstract = {A mixed variational formulation of some problems in L2-based Sobolev spaces is used to define the Newtonian and layer potentials for the Stokes system with L∞ coefficients on Lipschitz domains in ℝ3{\$}{\$}{\{}{\backslash}mathbb R{\}}^3{\$}{\$}. Then the solution of the exterior Dirichlet problem for the Stokes system with L∞ coefficients is presented in terms of these potentials and the inverse of the corresponding single layer operator.}, address = {Cham}, author = {Kohr, Mirela and Mikhailov, Sergey E. and Wendland, Wolfgang L.}, booktitle = {Analysis as a Life: Dedicated to Heinrich Begehr on the Occasion of his 80th Birthday }, doi = {10.1007/978-3-030-02650-9_12}, editor = {Rogosin, Sergei and {\c{C}}elebi, Ahmet Okay}, isbn = {978-3-030-02650-9}, pages = {237--260}, publisher = {Springer International Publishing}, title = {Newtonian and Single Layer Potentials for the Stokes System with L∞ Coefficients and the Exterior Dirichlet Problem}, url = {https://doi.org/10.1007/978-3-030-02650-9_12}, year = 2019 }
33. Kuhn, T., Dürrwächter, J., Meyer, F., Beck, A., Rohde, C., & Munz, C.-D. (2019). Uncertainty quantification for direct aeroacoustic simulations of cavity flows. J. Theor. Comput. Acoust., 27(1), 1850044, 20. https://doi.org/10.1142/S2591728518500445
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  BibTeX
  @article{kuhn2018uncertainty, abstract = {We investigate the influence of uncertain input parameters on the aeroacoustic feedback of cavity flows. The so-called Rossiter feedback requires a direct numerical computation of the acoustic noise, which solves hydrodynamics and acoustics simultaneously, in order to capture the interaction of acoustic waves and the hydrodynamics of the flow. Due to the large bandwidth of spatial and temporal scales, a high order numerical scheme with low dissipation and dispersion error is necessary to preserve important small scale information. Therefore, the open-source CFD solver FLEXI, which is based on a high-order discontinuous Galerkin spectral element method, is used to perform the aforementioned direct simulations of an open cavity configuration with a laminar upstream boundary layer. To analyse the precision of the deterministic cavity simulation with respect to random input parameters we establish a framework for uncertainty quantification. In particular, a non-intrusive spectral projection method with Legendre and Hermite polynomial basis functions is employed in order to treat uniform and normal probability distributions of the uncertain input. The results indicate a strong, non-linear dependency of the acoustic feedback mechanism on the investigated uncertain input parameters. An analysis of the stochastic results offers new insights into the noise generation process of open cavity flows and reveals the strength of the implemented uncertainty quantification framework.}, author = {Kuhn, Thomas and Dürrwächter, Jakob and Meyer, Fabian and Beck, Andrea and Rohde, Christian and Munz, Claus-Dieter}, doi = {https://doi.org/10.1142/S2591728518500445}, issn = {{2591-7811} and {2591-7285}}, journal = {J. Theor. Comput. Acoust.}, journalsubtitle = {an IMACS journal}, journaltitle = {Journal of theoretical and computational acoustics}, language = {eng}, number = 1, pages = {1850044, 20}, title = {Uncertainty quantification for direct aeroacoustic simulations of cavity flows}, url = {https://doi.org/10.1142/S2591728518500445}, volume = 27, year = 2019 }
34. Köppel, M., Franzelin, F., Kröker, I., Oladyshkin, S., Santin, G., Wittwar, D., Barth, A., Haasdonk, B., Nowak, W., Pflüger, D., & Rohde, C. (2019). Comparison of data-driven uncertainty quantification methods for a carbon dioxide storage benchmark scenario. Comput. Geosci., 2(23), 339–354. https://doi.org/10.1007/s10596-018-9785-x
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  BibTeX
  @article{koppel2017comparison, abstract = {A variety of methods is available to quantify uncertainties arising within the modeling of flow and transport in carbon dioxide storage, but there is a lack of thorough comparisons. Usually, raw data from such storage sites can hardly be described by theoretical statistical distributions since only very limited data is available. Hence, exact information on distribution shapes for all uncertain parameters is very rare in realistic applications. We discuss and compare four different methods tested for data-driven uncertainty quantification based on a benchmark scenario of carbon dioxide storage. In the benchmark, for which we provide data and code, carbon dioxide is injected into a saline aquifer modeled by the nonlinear capillarity-free fractional flow formulation for two incompressible fluid phases, namely carbon dioxide and brine. To cover different aspects of uncertainty quantification, we incorporate various sources of uncertainty such as uncertainty of boundary conditions, of conceptual model definitions and of material properties. We consider recent versions of the following non-intrusive and intrusive uncertainty quantification methods: arbitary polynomial chaos, spatially adaptive sparse grids, kernel-based greedy interpolation and hybrid stochastic Galerkin. The performance of each approach is demonstrated assessing expectation value and standard deviation of the carbon dioxide saturation against a reference statistic based on Monte Carlo sampling. We compare the convergence of all methods reporting on accuracy with respect to the number of model runs and resolution. Finally we offer suggestions about the methods� advantages and disadvantages that can guide the modeler for uncertainty quantification in carbon dioxide storage and beyond.}, author = {K\{"o}ppel, M. and Franzelin, F. and Kr\{"o}ker, I. and Oladyshkin, S. and Santin, G. and Wittwar, D. and Barth, A. and Haasdonk, B. and Nowak, W. and Pfl\{"u}ger, D. and Rohde, C.}, doi = {https://doi.org/10.1007/s10596-018-9785-x}, journal = {Comput. Geosci.}, number = 23, owner = {santinge}, pages = {339-354}, publisher = {Springer International Publishing}, title = {Comparison of data-driven uncertainty quantification methods for a carbon dioxide storage benchmark scenario}, url = {https://doi.org/10.1007/s10596-018-9785-x}, volume = 2, year = 2019 }
35. Mazzeo, R., Swoboda, J., Weiss, H., & Witt, F. (2019). Asymptotic geometry of the Hitchin metric. Commun. Math. Phys., 367(1), 151--191. https://doi.org/10.1007/s00220-019-03358-y
  - BibTeX
  BibTeX
  @article{zbMATH07046614, author = {{Mazzeo}, Rafe and {Swoboda}, Jan and {Weiss}, Hartmut and {Witt}, Frederik}, doi = {10.1007/s00220-019-03358-y}, fjournal = {{Communications in Mathematical Physics}}, issn = {0010-3616}, journal = {{Commun. Math. Phys.}}, language = {English}, msc2010 = {14D20 14H60 53C07 81T13}, number = 1, pages = {151--191}, publisher = {Springer, Berlin/Heidelberg}, title = {{Asymptotic geometry of the Hitchin metric}}, volume = 367, year = 2019, zbl = {1409.14024} }
36. Miller, C. T., Gray, W. G., Kees, C. E., Rybak, I. V., & Shepherd, B. J. (2019). Modeling sediment transport in three-phase surface water systems. J. Hydraul. Res., 57. https://doi.org/10.1080/00221686.2019.1581673
  - BibTeX
  BibTeX
  @article{Miller_etal_18, author = {Miller, C. T. and Gray, W. G. and Kees, C. E. and Rybak, I. V. and Shepherd, B. J.}, doi = {10.1080/00221686.2019.1581673}, journal = {J. Hydraul. Res.}, title = {Modeling sediment transport in three-phase surface water systems}, volume = 57, year = 2019 }
37. Mücke, N., & Steinwart, I. (2019). Empirical Risk Minimization in the Interpolating Regime with Application to Neural Network Learning. Fakultät für Mathematik und Physik, Universität Stuttgart.
  - BibTeX
  BibTeX
  @techreport{MuStXXa, author = {M{\"u}cke, N. and Steinwart, I.}, institution = {Fakult{\"a}t f{\"u}r Mathematik und Physik, Universit{\"at} Stuttgart}, note = {\url{https://arxiv.org/abs/1905.10686}}, title = {Empirical Risk Minimization in the Interpolating Regime with Application to Neural Network Learning}, year = 2019 }
38. Oesting, M., Schlather, M., & Schillings, C. (2019). Sampling sup-normalized spectral functions for Brown-Resnick processes. Stat, 8, e228, 11. https://doi.org/10.1002/sta4.228
  - BibTeX
  BibTeX
  @article{MR3978404, author = {Oesting, Marco and Schlather, Martin and Schillings, Claudia}, doi = {10.1002/sta4.228}, fjournal = {Stat}, journal = {Stat}, mrclass = {60G70 (62M30)}, mrnumber = {3978404}, pages = {e228, 11}, title = {Sampling sup-normalized spectral functions for {B}rown-{R}esnick processes}, url = {https://doi.org/10.1002/sta4.228}, volume = 8, year = 2019 }
39. Ostrowski, L., & Massa, F. (2019). An incompressible-compressible approach for droplet impact. In G. Cossali & S. Tonini (Hrsg.), Proceedings of the DIPSI Workshop 2019: Droplet ImpactPhenomena & Spray Investigations, Bergamo, Italy, 17th May 2019 (S. 18–21). Università degli studi di Bergamo. https://doi.org/10.6092/DIPSI2019_pp18-21
  - BibTeX
  BibTeX
  @inproceedings{ostrowski2019incompressiblecompressible, author = {Ostrowski, Lukas and Massa, Francescocarlo}, booktitle = {Proceedings of the DIPSI Workshop 2019: Droplet ImpactPhenomena \& Spray Investigations, Bergamo, Italy, 17th May 2019}, doi = {10.6092/DIPSI2019_pp18-21}, editor = {Cossali, Gianpietro and Tonini, Simona}, organization = {Università degli studi di Bergamo}, pages = {18-21}, title = {An incompressible-compressible approach for droplet impact}, url = {http://hdl.handle.net/10446/147386}, year = 2019 }
40. Rösinger, C. A., & Scherer, C. W. (2019). A Flexible Synthesis Framework of Structured Controllers for Networked Systems. IEEE Trans. Control Netw. Syst., 7(1), 6–18. https://doi.org/10.1109/TCNS.2019.2914411
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  BibTeX
  @article{rosinger2019flexible, author = {R\"{o}singer, Christian A. and Scherer, Carsten W.}, doi = {10.1109/TCNS.2019.2914411}, journal = {IEEE Trans. Control Netw. Syst.}, number = 1, pages = {6 - 18}, title = {A Flexible Synthesis Framework of Structured Controllers for Networked Systems}, url = {https://doi.org/10.1109/TCNS.2019.2914411}, volume = 7, year = 2019 }
41. Rösinger, C. A., & Scherer, C. W. (2019). A Scalings Approach to $H_2$-Gain-Scheduling Synthesis without Elimination. IFAC-PapersOnLine, 52(28), 50–57. https://doi.org/10.1016/j.ifacol.2019.12.347
  - BibTeX
  BibTeX
  @inproceedings{rosinger2019scalings, author = {R\"{o}singer, Christian A. and Scherer, Carsten W.}, booktitle = {IFAC-PapersOnLine}, doi = {10.1016/j.ifacol.2019.12.347}, number = 28, pages = {50-57}, title = {A Scalings Approach to {$H_2$}-Gain-Scheduling Synthesis without Elimination}, url = {https://doi.org/10.1016/j.ifacol.2019.12.347}, volume = 52, year = 2019 }
42. Santin, G., & Haasdonk, B. (2019). Kernel Methods for Surrogate Modelling. University of Stuttgart.
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  @techreport{SantinHaasdonkKernelChapter2019, author = {Santin, G. and Haasdonk, Bernard}, institution = {University of Stuttgart}, note = {https://www.ians.uni-stuttgart.de/anm/publications/files\_publication\_anm/SH2019.pdf}, title = {Kernel Methods for Surrogate Modelling}, year = 2019 }
43. Santin, G., Wittwar, D., & Haasdonk, B. (2019). Sparse approximation of regularized kernel interpolation by greedy algorithms.
  - BibTeX
  BibTeX
  @techreport{Santin2019a, author = {Santin, Gabriele and Wittwar, Dominik and Haasdonk, Bernard}, title = {Sparse approximation of regularized kernel interpolation by greedy algorithms}, year = 2019 }
44. Santin, G., & Haasdonk, B. (2019). Kernel Methods for Surrogate Modeling (ArXiv 1907.10556; Nummer 1907.10556). https://arxiv.org/abs/1907.10556
  - BibTeX
  BibTeX
  @techreport{SaHa2019a, author = {Santin, Gabriele and Haasdonk, Bernard}, file = {:PDF/SaHa2019a_kernel_chapter.pdf:PDF}, number = {1907.10556}, owner = {santinge}, title = {Kernel Methods for Surrogate Modeling}, type = {ArXiv}, url = {https://arxiv.org/abs/1907.10556}, year = 2019 }
45. Schanz, M., Wasser, C., Allgaeuer, S., Schricker, S., Dippon, J., Alscher, MD., & Kimmel, M. (2019). Urinary TIMP-2·IGFBP7-guided randomized controlled intervention trial to prevent acute kidney injury in the emergency department. Transplant., 2019 Nov 1;34(11), 1902–1909. https://doi.org/10.1093/ndt/gfy186
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  @article{schanz2019urinary, author = {Schanz, M. and Wasser, C. and Allgaeuer, S. and Schricker, S. and Dippon, J. and Alscher, MD. and Kimmel, M.}, doi = {10.1093/ndt/gfy186}, journal = {Transplant.}, pages = {1902-1909}, title = {Urinary [TIMP-2]·[IGFBP7]-guided randomized controlled intervention trial to prevent acute kidney injury in the emergency department. }, volume = {2019 Nov 1;34(11)}, year = 2019 }
46. Schmidt, A., Wittwar, D., & Haasdonk, B. (2019). Rigorous and effective a-posteriori error bounds for nonlinear problems -- Application to RB methods. Advances in Computational Mathematics. https://doi.org/10.1007/s10444-019-09730-9
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  BibTeX
  @article{SWH2019, author = {Schmidt, A. and Wittwar, D. and Haasdonk, Bernard}, doi = {10.1007/s10444-019-09730-9}, journal = {Advances in Computational Mathematics}, title = {Rigorous and effective a-posteriori error bounds for nonlinear problems -- {A}pplication to {RB} methods}, year = 2019 }
47. Schricker, S., Heider, T., Schanz, M., Dippon, J., Alscher, MD., Weiss, H., Mettang, T., & Kimmel, M. (2019). Strong Associations Between Inflammation, Pruritus and Mental Health in Dialysis Patients. Acta Derm Venereol., 2019 May 1;99(6), 524–529. https://doi.org/10.2340/00015555-3128
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  @article{noauthororeditor2019strong, author = {Schricker, S. and Heider, T. and Schanz, M. and Dippon, J. and Alscher, MD. and Weiss, H. and Mettang, T. and Kimmel, M.}, doi = {10.2340/00015555-3128}, journal = { Acta Derm Venereol.}, pages = {524-529}, title = {Strong Associations Between Inflammation, Pruritus and Mental Health in Dialysis Patients}, volume = {2019 May 1;99(6)}, year = 2019 }
48. Semmelmann, U., & Weingart, G. (2019). The standard Laplace operator. Manuscripta Math., 158(1–2), 273--293. https://doi.org/10.1007/s00229-018-1023-2
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  @article{MR3895758, author = {Semmelmann, Uwe and Weingart, Gregor}, doi = {10.1007/s00229-018-1023-2}, fjournal = {Manuscripta Mathematica}, issn = {0025-2611}, journal = {Manuscripta Math.}, mrclass = {53C29 (53C21 53C26 58A14)}, mrnumber = {3895758}, mrreviewer = {Gilles Carron}, number = {1-2}, pages = {273--293}, title = {The standard Laplace operator}, url = {https://doi.org/10.1007/s00229-018-1023-2}, volume = 158, year = 2019 }
49. Seus, D., Radu, F. A., & Rohde, C. (2019). A linear domain decomposition method for two-phase flow in porous media. Numerical Mathematics and Advanced Applications ENUMATH 2017, 603–614. https://doi.org/10.1007/978-3-319-96415-7_55
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  @article{seus2019linear, abstract = {This article is a follow up of our submitted paper (D. Seus et al, Comput Methods Appl Mech Eng 333:331--355, 2018) in which a decomposition of the Richards equation along two soil layers was discussed. A decomposed problem was formulated and a decoupling and linearisation technique was presented to solve the problem in each time step in a fixed point type iteration. This article extends these ideas to the case of two-phase in porous media and the convergence of the proposed domain decomposition method is rigorously shown."}, author = {Seus, David and Radu, Florin A. and Rohde, Christian}, doi = {https://doi.org/10.1007/978-3-319-96415-7_55}, editor = {Radu, Florin Adrian and Kumar, Kundan and Berre, Inga and Nordbotten, Jan Martin and Pop, Iuliu Sorin}, isbn = {978-3-319-96415-7}, journal = {Numerical Mathematics and Advanced Applications ENUMATH 2017}, pages = {603-614}, publisher = {Springer International Publishing}, title = {A linear domain decomposition method for two-phase flow in porous media}, url = {https://www.springerprofessional.de/a-linear-domain-decomposition-method-for-two-phase-flow-in-porou/16377432}, year = 2019 }
50. Sharanya, V., Sekhar, G. P. R., & Rohde, C. (2019). Surfactant-induced migration of a spherical droplet in non-isothermal Stokes flow. Physics of Fluids, 31(1), 012110. https://doi.org/10.1063/1.5064694
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  @article{sharanya2019surfactantinduced, author = {Sharanya, V. and Sekhar, G.P. Raja and Rohde, Christian}, doi = {10.1063/1.5064694}, journal = {Physics of Fluids}, number = 1, pages = 012110, title = {Surfactant-induced migration of a spherical droplet in non-isothermal Stokes flow}, url = {https://doi.org/10.1063/1.5064694}, volume = 31, year = 2019 }
51. Steinwart, I. (2019). A Sober Look at Neural Network Initializations. Fakultät für Mathematik und Physik, Universität Stuttgart.
  - BibTeX
  BibTeX
  @techreport{SteinwartXXa, author = {Steinwart, I.}, institution = {Fakult{\"a}t f{\"u}r Mathematik und Physik, Universit{\"at} Stuttgart}, note = {\url{http://arxiv.org/abs/1903.11482}}, title = {A Sober Look at Neural Network Initializations}, year = 2019 }
52. Steinwart, I. (2019). Convergence Types and Rates in Generic Karhunen-Loève Expansions with Applications to Sample Path Properties. Potential Anal., 51, 361--395. https://doi.org/10.1007/s11118-018-9715-5
  - BibTeX
  BibTeX
  @article{Steinwart18a, author = {Steinwart, I.}, doi = {10.1007/s11118-018-9715-5}, journal = {Potential Anal.}, note = {\url{http://arxiv.org/abs/1403.1040v3.pdf}}, pages = {361--395}, title = {Convergence Types and Rates in Generic {K}arhunen-{L}o{\`e}ve Expansions with Applications to Sample Path Properties}, volume = 51, year = 2019 }
53. Wenzel, T., Santin, G., & Haasdonk, B. (2019). A novel class of stabilized greedy kernel approximation algorithms: Convergence, stability & uniform point distribution.
  - BibTeX
  BibTeX
  @misc{wenzel2019novel, archiveprefix = {arXiv}, author = {Wenzel, Tizian and Santin, Gabriele and Haasdonk, Bernard}, eprint = {1911.04352}, primaryclass = {math.NA}, title = {A novel class of stabilized greedy kernel approximation algorithms: Convergence, stability \& uniform point distribution}, year = 2019 }
54. Wittwar, D., Santin, G., & Haasdonk, B. (2019). Part II on matrix valued kernels including analysis.
  - BibTeX
  BibTeX
  @techreport{Wittwar2019a, author = {Wittwar, Dominik and Santin, Gabriele and Haasdonk, Bernard}, title = {Part {II} on matrix valued kernels including analysis}, year = 2019 }
55. Wittwar, D., & Haasdonk, B. (2019). Greedy Algorithms for Matrix-Valued Kernels. In F. A. Radu, K. Kumar, I. Berre, J. M. Nordbotten, & I. S. Pop (Hrsg.), Numerical Mathematics and Advanced Applications ENUMATH 2017 (S. 113--121). Springer International Publishing.
  - BibTeX
  BibTeX
  @inproceedings{WH18a, abstract = {a.}, address = {Cham}, author = {Wittwar, Dominik and Haasdonk, Bernard}, booktitle = {Numerical Mathematics and Advanced Applications ENUMATH 2017}, editor = {Radu, Florin Adrian and Kumar, Kundan and Berre, Inga and Nordbotten, Jan Martin and Pop, Iuliu Sorin}, isbn = {978-3-319-96415-7}, pages = {113--121}, publisher = {Springer International Publishing}, title = {Greedy Algorithms for Matrix-Valued Kernels}, year = 2019 }
56. Zhang, R., Kyriss, T., Dippon, J., Boedeker, E., & Friedel, G. (2019). Preoperative serum lactate dehydrogenase level as a predictor of major omplications following thoracoscopic lobectomy: a propensity-adjusted analysis. European Journal of Cardio-Thoracic Surgery, 56(2), 294–300. https://doi.org/10.1093/ejcts/ezz027
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  @article{zhang2019preoperative, author = {Zhang, R. and Kyriss, T. and Dippon, J. and Boedeker, E. and Friedel, G.}, doi = {10.1093/ejcts/ezz027}, journal = {European Journal of Cardio-Thoracic Surgery}, number = 2, pages = {294-300}, title = {Preoperative serum lactate dehydrogenase level as a predictor of major omplications following thoracoscopic lobectomy: a propensity-adjusted analysis.}, volume = 56, year = 2019 }
57. Zhang R, Dippon J, F. G. (2019). Refined risk stratification for thoracoscopic lobectomy or segmentectomy. Dis., J Thorac, 2019 Jan;11(1), :222-230. https://doi.org/10.21037/jtd.2018.12.44
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  @article{zhangrdipponj2019refined, author = {{Zhang R, Dippon J}, Friedel G.}, doi = {10.21037/jtd.2018.12.44}, journal = {Dis., J Thorac}, pages = {:222-230}, title = {Refined risk stratification for thoracoscopic lobectomy or segmentectomy}, volume = {2019 Jan;11(1)}, year = 2019 }
2018
1. Afkham, B. M., Bhatt, A., Haasdonk, B., & Hesthaven, J. S. (2018). Symplectic Model-Reduction with a Weighted Inner Product.
  - BibTeX
  BibTeX
  @unpublished{afkham2018symplectic, author = {Afkham, Babak Maboudi and Bhatt, Ashish and Haasdonk, Bernard and Hesthaven, Jan S.}, file = {:http\://www.mathematik.uni-stuttgart.de/fak8/ians/publications/files/Afkham2018_www.pdf:PDF}, note = {Submitted}, owner = {bhattah}, title = {Symplectic Model-Reduction with a Weighted Inner Product}, year = 2018 }
2. Altenbernd, M., & Göddeke, D. (2018). Soft fault detection and correction for multigrid. The International Journal of High Performance Computing Applications, 32(6), 897–912. https://doi.org/10.1177/1094342016684006
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  @article{altenbernd2016fault, author = {Altenbernd, Mirco and G{\"o}ddeke, Dominik}, doi = {10.1177/1094342016684006}, journal = {The International Journal of High Performance Computing Applications}, month = {11}, number = 6, pages = {897-912}, title = {Soft fault detection and correction for multigrid}, volume = 32, year = 2018 }
3. Barth, A., & Stein, A. (2018). A Study of Elliptic Partial Differential Equations with Jump Diffusion Coefficients. SIAM-ASA JOURNAL ON UNCERTAINTY QUANTIFICATION, 6(4), 1707–1743. https://doi.org/10.1137/17M1148888
  - BibTeX
  BibTeX
  @article{WOS:000453873700016, abstract = {As a simplified model for subsurface flows, elliptic equations may be utilized. Insufficient measurements or uncertainty in those are commonly modeled by a random coefficient, which then accounts for the uncertain permeability of a given medium. As an extension of this methodology to flows in heterogeneous/fractured/porous media, we incorporate jumps in the diffusion coefficient. These discontinuities then represent transitions in the media. More precisely, we consider a second order elliptic problem where the random coefficient is given by the sum of a (continuous) Gaussian random field and a (discontinuous) jump part. To estimate moments of the solution to the resulting random partial differential equation, we use a pathwise numerical approximation combined with multilevel Monte Carlo sampling. In order to account for the discontinuities and improve the convergence of the pathwise approximation, the spatial domain is decomposed with respect to the jump positions in each sample, leading to path-dependent grids. Hence, it is not possible to create a nested sequence of grids which is suitable for each sample path a priori. We address this issue by an adaptive multilevel algorithm, where the discretization on each level is sample-dependent and fulfills given refinement conditions.}, address = {3600 UNIV CITY SCIENCE CENTER, PHILADELPHIA, PA 19104-2688 USA}, affiliation = {Barth, A (Corresponding Author), Univ Stuttgart, IANS SimTech, Stuttgart, Germany. Barth, Andrea; Stein, Andreas, Univ Stuttgart, IANS SimTech, Stuttgart, Germany.}, author = {Barth, Andrea and Stein, Andreas}, author-email = {andrea.barth@mathematik.uni-stuttgart.de andreas.stein@mathematik.uni-stuttgart.de}, da = {2021-08-10}, doc-delivery-number = {HF0SR}, doi = {10.1137/17M1148888}, funding-acknowledgement = {German Research Foundation (DFG) as part of the Cluster of Excellence in Simulation Technology at the University of Stuttgart {[}EXC 310/2]; junior professorship program of Baden-Wurttemberg}, funding-text = {This research was supported by the German Research Foundation (DFG) as part of the Cluster of Excellence in Simulation Technology (EXC 310/2) at the University of Stuttgart and by the junior professorship program of Baden-Wurttemberg.}, issn = {2166-2525}, journal = {SIAM-ASA JOURNAL ON UNCERTAINTY QUANTIFICATION}, journal-iso = {SIAM-ASA J. Uncertain. Quantif.}, language = {English}, number = 4, number-of-cited-references = {40}, oa = {Green Submitted}, pages = {1707-1743}, publisher = {SIAM PUBLICATIONS}, research-areas = {Mathematics; Physics}, times-cited = {0}, title = {A Study of Elliptic Partial Differential Equations with Jump Diffusion Coefficients}, type = {Article}, unique-id = {WOS:000453873700016}, usage-count-last-180-days = {0}, usage-count-since-2013 = {0}, volume = 6, web-of-science-categories = {Mathematics, Interdisciplinary Applications; Physics, Mathematical}, year = 2018 }
4. Barth, A., & Stüwe, T. (2018). Weak convergence of Galerkin approximations of stochastic partial differential equations driven by additive Lévy noise. Math. Comput. Simulation, 143, 215--225. https://doi.org/10.1016/j.matcom.2017.03.007
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  @article{barth2018convergence, author = {Barth, Andrea and St\"uwe, Tobias}, fjournal = {Mathematics and Computers in Simulation}, issn = {0378-4754}, journal = {Math. Comput. Simulation}, mrclass = {65N75 (35R60 60H15)}, mrnumber = {3698230}, owner = {seusdd}, pages = {215--225}, title = {Weak convergence of {G}alerkin approximations of stochastic partial differential equations driven by additive {L}\'evy noise}, url = {https://doi.org/10.1016/j.matcom.2017.03.007}, volume = 143, year = 2018 }
5. Barth, A., & Stein, A. (2018). Approximation and simulation of infinite-dimensional Levy processes. STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS, 6(2), 286–334. https://doi.org/10.1007/s40072-017-0109-2
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  @article{WOS:000436463800005, abstract = {In this paper approximation methods for infinite-dimensional Levy processes, also called (time-dependent) Levy fields, are introduced. For square integrable fields beyond the Gaussian case, it is no longer given that the one-dimensional distributions in the spectral representation with respect to the covariance operator are independent. When simulated via a Karhunen-Loeve expansion a set of dependent but uncorrelated one-dimensional Levy processes has to be generated. The dependence structure among the one-dimensional processes ensures that the resulting field exhibits the correct point-wise marginal distributions. To approximate the respective (one-dimensional) Levy-measures, a numerical method, called discrete Fourier inversion, is developed. For this method, L-p-convergence rates can be obtained and, under certain regularity assumptions, mean square and L-p-convergence of the approximated field is proved. Further, a class of (time-dependent) Levy fields is introduced, where the point-wise marginal distributions are dependent but uncorrelated subordinated Wiener processes. For this specific class one may derive point-wise marginal distributions in closed form. Numerical examples, which include hyperbolic and normal-inverse Gaussian fields, demonstrate the efficiency of the approach.}, address = {233 SPRING ST, NEW YORK, NY 10013 USA}, affiliation = {Stein, A (Corresponding Author), Univ Stuttgart, SimTech, Allmandring 5b, D-70569 Stuttgart, Germany. Barth, Andrea; Stein, Andreas, Univ Stuttgart, SimTech, Allmandring 5b, D-70569 Stuttgart, Germany.}, author = {Barth, Andrea and Stein, Andreas}, author-email = {andrea.barth@mathematik.uni-stuttgart.de andreas.stein@mathematik.uni-stuttgart.de}, da = {2021-08-10}, doc-delivery-number = {GK8IG}, doi = {10.1007/s40072-017-0109-2}, eissn = {2194-041X}, funding-acknowledgement = {German Research Foundation (DFG) as part of the Cluster of Excellence in Simulation Technology at the University of StuttgartGerman Research Foundation (DFG) {[}EXC 310/2]; Juniorprofessorship program of Baden-Wurttemberg}, funding-text = {The research leading to these results has received funding from the German Research Foundation (DFG) as part of the Cluster of Excellence in Simulation Technology (EXC 310/2) at the University of Stuttgart and by the Juniorprofessorship program of Baden-Wurttemberg, and it is gratefully acknowledged. The authors would like to thank Denis Talay for the fruitful discussions and helpful comments, as well as for the remarks of the anonymous reviewers which led to a significant improvement of the manuscript.}, issn = {2194-0401}, journal = {STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS}, journal-iso = {Stoch. Partial Differ. Equ.-Anal. Comput.}, language = {English}, month = {06}, number = 2, number-of-cited-references = {43}, oa = {Green Submitted}, pages = {286-334}, publisher = {SPRINGER}, research-areas = {Mathematics}, times-cited = {2}, title = {Approximation and simulation of infinite-dimensional Levy processes}, type = {Article}, unique-id = {WOS:000436463800005}, usage-count-last-180-days = {0}, usage-count-since-2013 = {0}, volume = 6, web-of-science-categories = {Mathematics, Applied; Statistics \& Probability}, year = 2018 }
6. Bhatt, A., Fehr, J., Grunert, D., & Haasdonk, B. (2018). A Posteriori Error Estimation in Model Order Reduction of Elastic Multibody Systems with Large Rigid Motion. In J. Fehr & B. Haasdonk (Hrsg.), IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22–25, 2018. Springer. https://doi.org/DOI:10.1007/978-3-030-21013-7_7
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  @inproceedings{Bhatt2018a, author = {Bhatt, A. and Fehr, J. and Grunert, D. and Haasdonk, Bernard}, booktitle = { IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22–25, 2018 }, doi = {DOI:10.1007/978-3-030-21013-7_7}, editor = {Fehr, J. and Haasdonk, B.}, groups = {bhatt}, owner = {bhattah}, publisher = {Springer}, title = {A Posteriori Error Estimation in Model Order Reduction of Elastic Multibody Systems with Large Rigid Motion}, year = 2018 }
7. Bhatt, A., & Haasdonk, B. (2018). Certified and structure-preserving model order reduction of EMBS. In RAMSA 2017, New Delhi.
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  @misc{AshishBhatt2018, author = {Bhatt, Ashish and Haasdonk, Bernard}, istalk = {yes}, journal = {RAMSA 2017, New Delhi}, owner = {bhattah}, title = {Certified and structure-preserving model order reduction of EMBS}, year = 2018 }
8. Bhatt, A., Haasdonk, B., & Moore, B. E. (2018). Structure-preserving Integration and Model Order Reduction. In Invited online talk in Department of Mathematics, IIT Roorkee.
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  @misc{AshishBhatt2018a, author = {Bhatt, Ashish and Haasdonk, Bernard and Moore, Brian E}, istalk = {yes}, journal = {Invited online talk in Department of Mathematics, IIT Roorkee}, owner = {bhattah}, title = {Structure-preserving Integration and Model Order Reduction}, year = 2018 }
9. Blaschzyk, I., & Steinwart, I. (2018). Improved Classification Rates under Refined Margin Conditions. Electron. J. Stat., 12, 793--823. https://doi.org/10.1214/18-EJS1406
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  @article{BlSt18a, author = {Blaschzyk, I. and Steinwart, I.}, doi = {10.1214/18-EJS1406}, journal = {Electron. J. Stat.}, note = {\url{http://arxiv.org/abs/1610.09109}}, pages = {793--823}, title = {Improved Classification Rates under Refined Margin Conditions}, volume = 12, year = 2018 }
10. Bradley, C. P., Emamy, N., Ertl, T., Göddeke, D., Hessenthaler, A., Klotz, T., Krämer, A., Krone, M., Maier, B., Mehl, M., Tobias, R., & Röhrle, O. (2018). Enabling Detailed, Biophysics-Based Skeletal Muscle Models on HPC Systems. Frontiers in Physiology, 9(816), Article 816. https://doi.org/10.3389/fphys.2018.00816
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  BibTeX
  @article{Bradley:2018:EDB, author = {Bradley, Chris P. and Emamy, Nehzat and Ertl, Thomas and G{\"o}ddeke, Dominik and Hessenthaler, Andreas and Klotz, Thomas and Kr{\"a}mer, Aaron and Krone, Michael and Maier, Benjamin and Mehl, Miriam and Tobias, Rau and R{\"o}hrle, Oliver}, doi = {10.3389/fphys.2018.00816}, journal = {Frontiers in Physiology}, month = {07}, number = 816, title = {Enabling Detailed, Biophysics-Based Skeletal Muscle Models on HPC Systems}, volume = 9, year = 2018 }
11. Brehler, M., Schirwon, M., Göddeke, D., & Krummrich, P. (2018, Juli). Modeling the Kerr-Nonlinearity in Mode-Division Multiplexing Fiber Transmission Systems on GPUs. Proceedings of Advanced Photonics 2018.
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  @inproceedings{brehler:2018:MKN, author = {Brehler, Marius and Schirwon, Malte and G{\"o}ddeke, Dominik and Krummrich, Peter}, booktitle = {Proceedings of Advanced Photonics 2018}, month = {07}, title = {Modeling the {K}err-Nonlinearity in Mode-Division Multiplexing Fiber Transmission Systems on {GPUs}}, year = 2018 }
12. Brünnette, T., Santin, G., & Haasdonk, B. (2018). Greedy kernel methods for accelerating implicit integrators for parametric ODEs. Proceedings of ENUMATH 2017. http://www.simtech.uni-stuttgart.de/publikationen/prints.php?ID=1767
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  BibTeX
  @inproceedings{brunnette2018greedy, abstract = {We present a novel acceleration method for the solution of parametric ODEs by single-step implicit solvers by means of greedy kernel-based surrogate models. In an offline phase, a set of trajectories is precomputed with a high-accuracy ODE solver for a selected set of parameter samples, and used to train a kernel model which predicts the next point in the trajectory as a function of the last one. This model is cheap to evaluate, and it is used in an online phase for new parameter samples to provide a good initialization point for the nonlinear solver of the implicit integrator. The accuracy of the surrogate reflects into a reduction of the number of iterations until convergence of the solver, thus providing an overall speedup of the full simulation. Interestingly, in addition to providing an acceleration, the accuracy of the solution is maintained, since the ODE solver is still used to guarantee the required precision. Although the method can be applied to a large variety of solvers and different ODEs, we will present in details its use with the Implicit Euler method for the solution of the Burgers equation, which results to be a meaningful test case to demonstrate the method's features.}, author = {Br{\"u}nnette, Tim and Santin, Gabriele and Haasdonk, Bernard}, institution = {University of Stuttgart}, owner = {santinge}, title = {Greedy kernel methods for accelerating implicit integrators for parametric ODEs}, url = {http://www.simtech.uni-stuttgart.de/publikationen/prints.php?ID=1767}, volume = {Proceedings of ENUMATH 2017}, year = 2018 }
13. Buchfink, P. (2018). Structure-preserving Model Reduction for Elasticity [Diploma thesis].
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  @mastersthesis{buchfink2018structurepreserving, author = {Buchfink, Patrick}, owner = {bhattah}, school = {IANS, University of Stuttgart}, title = {Structure-preserving Model Reduction for Elasticity}, type = {Diploma thesis}, year = 2018 }
14. Chalons, C., Magiera, J., Rohde, C., & Wiebe, M. (2018). A finite-volume tracking scheme for two-phase compressible flow. Springer Proc. Math. Stat., 309--322. https://doi.org/10.1007/978-3-319-91545-6_25
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  @article{chalons.magiera.ea:finite:2018, abstract = {We propose a finite-volume tracking method in multiple space dimensions to approximate weak solutions of the hydromechanical equations that allow two-phase behavior. The method relies on a moving mesh ansatz such that the phase boundary is represented as a sharp interface without any artificial smearing. At the interface, an approximate solver is applied, such that the exact Riemann solution is not required. From precedent work, it is known that the method is locally conservative and recovers planar traveling wave solutions exactly. To demonstrate the efficiency and reliability of the new scheme, we test it on various situations for liquid--vapor flow.}, address = {Cham}, author = {Chalons, Christophe and Magiera, Jim and Rohde, Christian and Wiebe, Maria}, booktitle = {Theory, Numerics and Applications of Hyperbolic Problems I}, doi = {https://doi.org/10.1007/978-3-319-91545-6_25}, editor = {Klingenberg, Christian and Westdickenberg, Michael}, isbn = {978-3-319-91545-6}, journal = {Springer Proc. Math. Stat.}, pages = {309--322}, publisher = {Springer International Publishing}, title = {A finite-volume tracking scheme for two-phase compressible flow}, url = {https://doi.org/10.1007/978-3-319-91545-6_25}, year = 2018 }
15. De Marchi, S., Iske, A., & Santin, G. (2018). Image reconstruction from scattered Radon data by weighted positive definite kernel functions. Calcolo, 55(1), 2. https://doi.org/10.1007/s10092-018-0247-6
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  @article{demarchi2018image, abstract = {We propose a novel kernel-based method for image reconstruction from scattered Radon data. To this end, we employ generalized Hermite--Birkhoff interpolation by positive definite kernel functions. For radial kernels, however, a straightforward application of the generalized Hermite--Birkhoff interpolation method fails to work, as we prove in this paper. To obtain a well-posed reconstruction scheme for scattered Radon data, we introduce a new class of weighted positive definite kernels, which are symmetric but not radially symmetric. By our construction, the resulting weighted kernels are combinations of radial positive definite kernels and positive weight functions. This yields very flexible image reconstruction methods, which work for arbitrary distributions of Radon lines. We develop suitable representations for the weighted basis functions and the symmetric positive definite kernel matrices that are resulting from the proposed reconstruction scheme. For the relevant special case, where Gaussian radial kernels are combined with Gaussian weights, explicit formulae for the weighted Gaussian basis functions and the kernel matrices are given. Supporting numerical examples are finally presented.}, author = {De Marchi, S. and Iske, A. and Santin, G.}, doi = {10.1007/s10092-018-0247-6}, file = {:http\://www.mathematik.uni-stuttgart.de/fak8/ians/publications/files/DeMarchi2017_www_kernel_radon_preprint.pdf:PDF}, issn = {1126-5434}, journal = {Calcolo}, month = {02}, number = 1, owner = {santinge}, pages = 2, title = {Image reconstruction from scattered Radon data by weighted positive definite kernel functions}, url = {https://doi.org/10.1007/s10092-018-0247-6}, volume = 55, year = 2018 }
16. de Rijk, B. (2018). Spectra and stability of spatially periodic pulse patterns II: the critical spectral curve. SIAM J. Math. Anal., 50(2), 1958--2019. https://doi.org/10.1137/17M1127594
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  @article{MR3784109, author = {de Rijk, Bj\"{o}rn}, doi = {10.1137/17M1127594}, fjournal = {SIAM Journal on Mathematical Analysis}, issn = {0036-1410}, journal = {SIAM J. Math. Anal.}, mrclass = {35K40 (34L10 35B10 35B25 35B35 35K57)}, mrnumber = {3784109}, number = 2, pages = {1958--2019}, title = {Spectra and stability of spatially periodic pulse patterns {II}: the critical spectral curve}, url = {https://doi.org/10.1137/17M1127594}, volume = 50, year = 2018 }
17. de Rijk, B., & Sandstede, B. (2018). Diffusive stability against nonlocalized perturbations of planar wave trains in reaction-diffusion systems. J. Differential Equations, 265(10), 5315--5351. https://doi.org/10.1016/j.jde.2018.07.011
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  @article{MR3848253, author = {de Rijk, Bj\"{o}rn and Sandstede, Bj\"{o}rn}, doi = {10.1016/j.jde.2018.07.011}, fjournal = {Journal of Differential Equations}, issn = {0022-0396}, journal = {J. Differential Equations}, mrclass = {35K40 (35B10 35B35 35C07 35K57 35K58)}, mrnumber = {3848253}, number = 10, pages = {5315--5351}, title = {Diffusive stability against nonlocalized perturbations of planar wave trains in reaction-diffusion systems}, url = {https://doi.org/10.1016/j.jde.2018.07.011}, volume = 265, year = 2018 }
18. Degeratu, A., & Mazzeo, R. (2018). Fredholm theory for elliptic operators on quasi-asymptotically conical spaces. Proc. Lond. Math. Soc. (3), 116(5), 1112--1160. https://doi.org/10.1112/plms.12105
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  @article{MR3805053, author = {Degeratu, Anda and Mazzeo, Rafe}, doi = {10.1112/plms.12105}, fjournal = {Proceedings of the London Mathematical Society. Third Series}, issn = {0024-6115}, journal = {Proc. Lond. Math. Soc. (3)}, mrclass = {58J05 (35J08 35J15 53C21)}, mrnumber = {3805053}, mrreviewer = {Victor Kalvin}, number = 5, pages = {1112--1160}, title = {Fredholm theory for elliptic operators on quasi-asymptotically conical spaces}, url = {https://doi.org/10.1112/plms.12105}, volume = 116, year = 2018 }
19. Devroye, L., Gyorfi, L., Lugosi, G., & Walk, H. (2018). A nearest neighbor estimate of the residual variance. ELECTRONIC JOURNAL OF STATISTICS, 12(1), 1752–1778. https://doi.org/10.1214/18-EJS1438
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  @article{WOS:000438839900052, abstract = {We study the problem of estimating the smallest achievable mean-squared error in regression function estimation. The problem is equivalent to estimating the second moment of the regression function of Y on X is an element of R-d . We introduce a nearest-neighbor-based estimate and obtain a normal limit law for the estimate when X has an absolutely continuous distribution, without any condition on the density. We also compute the asymptotic variance explicitly and derive a non-asymptotic bound on the variance that does not depend on the dimension d. The asymptotic variance does not depend on the smoothness of the density of X or of the regression function. A non-asymptotic exponential concentration inequality is also proved. We illustrate the use of the new estimate through testing whether a component of the vector X carries information for predicting Y.}, address = {3163 SOMERSET DR, CLEVELAND, OH 44122 USA}, affiliation = {Devroye, L (Corresponding Author), McGill Univ, Sch Comp Sci, 3480 Univ St, Montreal, PQ H3A 0E9, Canada. Devroye, Luc, McGill Univ, Sch Comp Sci, 3480 Univ St, Montreal, PQ H3A 0E9, Canada. Gyorfi, Laszlo, Budapest Univ Technol \& Econ, Dept Comp Sci \& Informat Theory, Magyar Tudosok Krt 2, H-1117 Budapest, Hungary. Lugosi, Gabor, Pompeu Fabra Univ, Dept Econ \& Business, Pg Llus Co 23, Barcelona 08010, Spain. Lugosi, Gabor, ICREA, Pg Llus Co 23, Barcelona 08010, Spain. Lugosi, Gabor, Barcelona Grad Sch Econ, Barcelona, Spain. Walk, Harro, Univ Stuttgart, Inst Stochast \& Anwendungen, Pfaffenwaldring 57, D-70569 Stuttgart, Germany.}, author = {Devroye, Luc and Gyorfi, Laszlo and Lugosi, Gabor and Walk, Harro}, author-email = {lucdevroye@gmail.com gyorfi@cs.bme.hu gabor.lugosi@upf.edu harro.walk@t-online.de}, da = {2021-08-10}, doc-delivery-number = {GN2PL}, doi = {10.1214/18-EJS1438}, funding-acknowledgement = {Natural Sciences and Engineering Research Council (NSERC) of CanadaNatural Sciences and Engineering Research Council of Canada (NSERC); National University of Public Service {[}KOFOP-2.1.2-VEKOP-15-2016-00001]; Spanish Ministry of Economy and Competitiveness {[}MTM2015-67304-P]; FEDER, EU}, funding-text = {Luc Devroye was supported by the Natural Sciences and Engineering Research Council (NSERC) of Canada.; Laszlo Gyorfi was supported by the National University of Public Service under the priority project KOFOP-2.1.2-VEKOP-15-2016-00001 titled ``Public Service Development Establishing Good Governance{''} in the Ludovika Workshop.; Gabor Lugosi was supported by the Spanish Ministry of Economy and Competitiveness, Grant MTM2015-67304-P and FEDER, EU.}, issn = {1935-7524}, journal = {ELECTRONIC JOURNAL OF STATISTICS}, journal-iso = {Electron. J. Stat.}, language = {English}, number = 1, number-of-cited-references = {21}, oa = {gold, Green Published, Green Submitted}, pages = {1752-1778}, publisher = {INST MATHEMATICAL STATISTICS}, research-areas = {Mathematics}, times-cited = {3}, title = {A nearest neighbor estimate of the residual variance}, type = {Article}, unique-id = {WOS:000438839900052}, usage-count-last-180-days = {0}, usage-count-since-2013 = {0}, volume = 12, web-of-science-categories = {Statistics \& Probability}, year = 2018 }
20. Dibak, C., Haasdonk, B., Schmidt, A., Dürr, F., & Rothermel, K. (2018). Enabling interactive mobile simulations through distributed reduced models. Pervasive and Mobile Computing, Elsevier BV, 45, 19--34. https://doi.org/10.1016/j.pmcj.2018.02.002
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  @article{Dibak2018, abstract = {Abstract Currently, various hardware and software companies are developing augmented reality devices, most prominently Microsoft with its Hololens. Besides gaming, such devices can be used for serious pervasive applications, like interactive mobile simulations to support engineers in the field. Interactive simulations have high demands on resources, which the mobile device alone is unable to satisfy. Therefore, we propose a framework to support mobile simulations by distributing the computation between the mobile device and a remote server based on the reduced basis method. Evaluations show that we can speed-up the numerical computation by over 131 times while using 73 times less energy.}, author = {Dibak, Christoph and Haasdonk, Bernard and Schmidt, Andreas and D{\"u}rr, Frank and Rothermel, Kurt}, doi = {https://doi.org/10.1016/j.pmcj.2018.02.002}, issn = {1574-1192}, journal = {Pervasive and Mobile Computing, Elsevier BV}, pages = {19--34}, title = {Enabling interactive mobile simulations through distributed reduced models}, url = {https://www.sciencedirect.com/science/article/pii/S1574119217304704}, volume = 45, year = 2018 }
21. Doelman, A., Rademacher, J., de Rijk, B., & Veerman, F. (2018). Destabilization Mechanisms of Periodic Pulse Patterns Near a Homoclinic Limit. SIAM J. Appl. Dyn. Syst., 17(2), 1833--1890. https://doi.org/10.1137/17M1122840
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  @article{MR3817752, author = {Doelman, Arjen and Rademacher, Jens and de Rijk, Bj\"{o}rn and Veerman, Frits}, doi = {10.1137/17M1122840}, fjournal = {SIAM Journal on Applied Dynamical Systems}, journal = {SIAM J. Appl. Dyn. Syst.}, mrclass = {35K57 (35B10 35B25 35B35 35B36 35K40)}, mrnumber = {3817752}, mrreviewer = {Paul Carter}, number = 2, pages = {1833--1890}, title = {Destabilization Mechanisms of Periodic Pulse Patterns Near a Homoclinic Limit.}, url = {https://doi.org/10.1137/17M1122840}, volume = 17, year = 2018 }
22. Doering, M., Gyorfi, L., & Walk, H. (2018). Rate of Convergence of k-Nearest-Neighbor Classification Rule. JOURNAL OF MACHINE LEARNING RESEARCH, 18.
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  @article{WOS:000438192200001, abstract = {A binary classification problem is considered. The excess error probability of the k-nearest-neighbor classification rule according to the error probability of the Bayes decision is revisited by a decomposition of the excess error probability into approximation and estimation errors. Under a weak margin condition and under a modified Lipschitz condition or a local Lipschitz condition, tight upper bounds are presented such that one avoids the condition that the feature vector is bounded. The concept of modified Lipschitz condition is applied for discrete distributions, too. As a consequence of both concepts, we present the rate of convergence of L-2 error for the corresponding nearest neighbor regression estimate.}, address = {31 GIBBS ST, BROOKLINE, MA 02446 USA}, affiliation = {Doring, M (Corresponding Author), Univ Hohenheim, Inst Appl Math \& Stat, D-70599 Karlsruhe, Germany. Doring, M (Corresponding Author), Max Rubner Inst, D-76131 Karlsruhe, Germany. Doering, Maik, Univ Hohenheim, Inst Appl Math \& Stat, D-70599 Karlsruhe, Germany. Doering, Maik, Max Rubner Inst, D-76131 Karlsruhe, Germany. Gyorfi, Laszlo, Budapest Univ Technol \& Econ, Dept Comp Sci \& Informat Theory, H-1111 Budapest, Hungary. Walk, Harro, Univ Stuttgart, Inst Stochast \& Applicat, D-70049 Stuttgart, Germany.}, author = {Doering, Maik and Gyorfi, Laszlo and Walk, Harro}, author-email = {MAIK.DOERING@UNI-HOHENHEIM.DE GYORFI@CS.BME.HU HARRO.WALK@T-ONLINE.DE}, da = {2021-08-10}, doc-delivery-number = {GM5PL}, funding-acknowledgement = {programme ``Research in Pairs{''} by the Mathematisches Forschungsinstitut Oberwolfach in 2017; National University of Public Service {[}KOFOP-2.1.2-VEKOP-15-2016-00001]}, funding-text = {The research of L. Gyorfi and of H. Walk was supported through the programme ``Research in Pairs{''} by the Mathematisches Forschungsinstitut Oberwolfach in 2017. L. Gyorfi was supported by the National University of Public Service under the priority project KOFOP-2.1.2-VEKOP-15-2016-00001 titled ``Public Service Development Establishing Good Governance{''} in the Ludovika Workshop.}, issn = {1532-4435}, journal = {JOURNAL OF MACHINE LEARNING RESEARCH}, journal-iso = {J. Mach. Learn. Res.}, language = {English}, number-of-cited-references = {17}, publisher = {MICROTOME PUBL}, research-areas = {Automation \& Control Systems; Computer Science}, researcherid-numbers = {Doring, Maik/AAA-4557-2020}, times-cited = {1}, title = {Rate of Convergence of k-Nearest-Neighbor Classification Rule}, type = {Article}, unique-id = {WOS:000438192200001}, usage-count-last-180-days = {1}, usage-count-since-2013 = {2}, volume = 18, web-of-science-categories = {Automation \& Control Systems; Computer Science, Artificial Intelligence}, year = 2018 }
23. Düll, W.-P., & Heß, M. (2018). Existence of long time solutions and validity of the nonlinear Schrödinger approximation for a quasilinear dispersive equation. J. Differential Equations, 264(4), 2598--2632. https://doi.org/10.1016/j.jde.2017.10.031
  - BibTeX
  BibTeX
  @article{MR3737848, author = {D\"{u}ll, Wolf-Patrick and He\ss, Max}, doi = {10.1016/j.jde.2017.10.031}, fjournal = {Journal of Differential Equations}, issn = {0022-0396}, journal = {J. Differential Equations}, mrclass = {35Q55 (35C20)}, mrnumber = {3737848}, mrreviewer = {R\'{e}mi Carles}, number = 4, pages = {2598--2632}, title = {Existence of long time solutions and validity of the nonlinear {S}chr\"{o}dinger approximation for a quasilinear dispersive equation}, url = {https://doi.org/10.1016/j.jde.2017.10.031}, volume = 264, year = 2018 }
24. Düll, W.-P., Hilder, B., & Schneider, G. (2018). Analysis of the embedded cell method in 1D for the numerical homogenization of metal-ceramic composite materials. J. Appl. Anal., 24(1), 71--80.
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  BibTeX
  @article{zbMATH06882363, author = {{D\"ull}, Wolf-Patrick and {Hilder}, Bastian and {Schneider}, Guido}, fjournal = {{Journal of Applied Analysis}}, issn = {1425-6908; 1869-6082/e}, journal = {{J. Appl. Anal.}}, language = {English}, msc2010 = {74B05 74Q20 74A40}, number = 1, pages = {71--80}, publisher = {De Gruyter, Berlin; Technical University of {\L}\'od\'z, Institute of Mathematics, {\L}\'od\'z}, title = {{Analysis of the embedded cell method in 1D for the numerical homogenization of metal-ceramic composite materials}}, volume = 24, year = 2018, zbl = {1451.74048} }
25. Düll, W.-P. (2018). On the mathematical description of time-dependent surface water waves. Jahresber. Dtsch. Math.-Ver., 120(2), 117--141. https://doi.org/10.1365/s13291-017-0173-6
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  @article{MR3798150, author = {D\"{u}ll, Wolf-Patrick}, doi = {10.1365/s13291-017-0173-6}, fjournal = {Jahresbericht der Deutschen Mathematiker-Vereinigung}, issn = {0012-0456}, journal = {Jahresber. Dtsch. Math.-Ver.}, mrclass = {76B15 (35Q35 35Q53 35Q55)}, mrnumber = {3798150}, mrreviewer = {Paul Andrew Martin}, number = 2, pages = {117--141}, title = {On the mathematical description of time-dependent surface water waves}, url = {https://doi.org/10.1365/s13291-017-0173-6}, volume = 120, year = 2018 }
26. Dürrwächter, J., Kuhn, T., Meyer, F., Schlachter, L., & Schneider, F. (2018). A hyperbolicity-preserving discontinuous stochastic Galerkin scheme for uncertain hyperbolic systems of equations. Journal of Computational and Applied Mathematics, 112602. https://doi.org/10.1016/j.cam.2019.112602
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  BibTeX
  @article{meyer2018hyperbolicitypreserving, __markedentry = {[szur:6]}, abstract = {Intrusive Uncertainty Quantification methods such as stochastic Galerkin are gaining popularity, whereas the classical stochastic Galerkin approach is not ensured to preserve hyperbolicity of the underlying hyperbolic system. We present a modification of this method that uses a slope limiter to retain admissible solutions of the system, while providing high-order approximations in the physical and stochastic space. This is done using spatial discontinuous Galerkin and a Multi-Element stochastic Galerkin ansatz in the random space. We analyze the convergence of the resulting scheme and apply it to the compressible Euler equations with different uncertain initial states. The numerical results underline the strength of our method if discontinuities are present in the uncertainty of the solution.}, author = {D{\"u}rrw{\"a}chter, J. and Kuhn, T. and Meyer, F. and Schlachter, L. and Schneider, F.}, doi = {https://doi.org/10.1016/j.cam.2019.112602}, issn = {0377-0427}, journal = {Journal of Computational and Applied Mathematics}, owner = {meyerfn}, pages = 112602, title = {A hyperbolicity-preserving discontinuous stochastic Galerkin scheme for uncertain hyperbolic systems of equations}, url = {http://www.sciencedirect.com/science/article/pii/S0377042719306077}, year = 2018 }
27. Engwer, C., Altenbernd, M., Dreier, N.-A., & Göddeke, D. (2018, März). A high-level C++ approach to manage local errors, asynchrony and faults in an MPI application. Proceedings of the 26th Euromicro International Conference on Parallel, Distributed and Network-Based Processing (PDP 2018).
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  @inproceedings{engwer2018highlevel, author = {Engwer, Christian and Altenbernd, Mirco and Dreier, Nils-Arne and Göddeke, Dominik}, booktitle = {Proceedings of the 26th Euromicro International Conference on Parallel, Distributed and Network-Based Processing (PDP 2018)}, month = {03}, title = {A high-level {C++} approach to manage local errors, asynchrony and faults in an {MPI} application}, year = 2018 }
28. Fechter, S., Munz, C.-D., Rohde, C., & Zeiler, C. (2018). Approximate Riemann solver for compressible liquid vapor flow with phase transition and surface tension. Comput. & Fluids, 169, 169–185. http://dx.doi.org/10.1016/j.compfluid.2017.03.026
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  @article{fechter2018approximate, author = {Fechter, Stefan and Munz, Claus-Dieter and Rohde, Christian and Zeiler, Christoph}, doi = {http://dx.doi.org/10.1016/j.compfluid.2017.03.026}, journal = {Comput. \& Fluids}, owner = {szur}, pages = {169-185}, title = {Approximate Riemann solver for compressible liquid vapor flow with phase transition and surface tension}, url = {http://www.sciencedirect.com/science/article/pii/S004579301730107X}, volume = 169, year = 2018 }
29. Fehr, J., Grunert, D., Bhatt, A., & Haasdonk, B. (2018). A Sensitivity Study of Error Estimation in Reduced Elastic Multibody Systems. Proceedings of MATHMOD 2018, Vienna, Austria.
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  @inproceedings{Fehr2018, author = {Fehr, J. and Grunert, D. and Bhatt, A. and Haasdonk, Bernard}, booktitle = {Proceedings of MATHMOD 2018, Vienna, Austria}, file = {:PDF/Fehr2017_www.pdf:PDF}, groups = {bhatt}, owner = {bhattah}, title = {A Sensitivity Study of Error Estimation in Reduced Elastic Multibody Systems}, year = 2018 }
30. Fritz, P., Dippon, J., Müller, S., Goletz, S., Trautmann, C., Pappas, X., Ott, G., Brauch, H., Schwab, M., Winter, S., Mürdter, T., Brinkmann, F., Faisst, S., Rössle, S., Gerteis, A., & Friedel, G. (2018). Is Mistletoe Treatment Beneficial in Invasive Breast Cancer? A New Approach to an Unresolved Problem. Anticancer research, 38(3), 1585–1593. https://doi.org/10.21873/anticanres.12388
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  @article{fritz2018mistletoe, author = {Fritz, P. and Dippon, J. and Müller, S. and Goletz, S. and Trautmann, C. and Pappas, X. and Ott, G. and Brauch, H. and Schwab, M. and Winter, S. and Mürdter, T. and Brinkmann, F. and Faisst, S. and Rössle, S. and Gerteis, A. and Friedel, G.}, doi = {10.21873/anticanres.12388}, journal = {Anticancer research}, number = 3, pages = {1585-1593}, title = {Is Mistletoe Treatment Beneficial in Invasive Breast Cancer? A New Approach to an Unresolved Problem}, volume = 38, year = 2018 }
31. Fritzen, F., Haasdonk, B., Ryckelynck, D., & Schöps, S. (2018). An algorithmic comparison of the Hyper-Reduction and the Discrete Empirical Interpolation Method for a nonlinear thermal problem. Math. Comput. Appl. 2018, 23(1), Article 1. https://doi.org/doi:10.3390/mca23010008
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  @article{fritzen2018algorithmic, author = {Fritzen, Felix and Haasdonk, Bernard and Ryckelynck, David and Schöps, Sebastian}, doi = {doi:10.3390/mca23010008}, institution = {University of Stuttgart}, journal = {Math. Comput. Appl. 2018}, number = 1, owner = {haasdonk}, title = {An algorithmic comparison of the Hyper-Reduction and the Discrete Empirical Interpolation Method for a nonlinear thermal problem}, type = {Arxiv Report}, url = {http://www.mdpi.com/2297-8747/23/1/8/pdf}, volume = 23, year = 2018 }
32. Geck, M. (2018). On the values of unipotent characters in bad characteristic. Rendiconti del Seminario Matematico della Università di Padova, 141, 37--63. https://doi.org/10.4171/rsmup/14
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  @article{Geck_2018, author = {Geck, Meinolf}, doi = {10.4171/rsmup/14}, journal = {Rendiconti del Seminario Matematico della Universit{\`{a}} di Padova}, month = {11}, pages = {37--63}, publisher = {European Mathematical Society Publishing House}, title = {On the values of unipotent characters in bad characteristic}, url = {https://doi.org/10.4171%2Frsmup%2F14}, volume = 141, year = 2018 }
33. Geck, M. (2018). A first guide to the character theory of finite groups of Lie type. Local Representation Theory and Simple Groups (eds. R. Kessar, G. Malle, D. Testerman), 63--106. https://doi.org/10.4171/185-1/3
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  @inproceedings{Geck, author = {Geck, Meinolf}, booktitle = {Local Representation Theory and Simple Groups (eds. R. Kessar, G. Malle, D. Testerman)}, doi = {10.4171/185-1/3}, pages = {63--106}, publisher = {European Mathematical Society Publishing House}, series = {EMS Lecture Notes Series}, title = {A first guide to the character theory of finite groups of Lie type}, url = {https://doi.org/10.4171%2F185-1%2F3}, year = 2018 }
34. Georgiev, V., & Wirth, J. (2018). Zero resonances for localised potentials. Journal of Mathematical Physics, 59(7), 071502. https://doi.org/10.1063/1.5027717
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  @article{georgiev2018resonances, author = {Georgiev, Vladimir and Wirth, Jens}, doi = {10.1063/1.5027717}, journal = {Journal of Mathematical Physics}, number = 7, pages = 071502, title = {Zero resonances for localised potentials}, volume = 59, year = 2018 }
35. Giesselmann, J., Kolbe, N., Lukacova-Medvidova, M., & Sfakianakis, N. (2018). Existence and uniqueness of global classical solutions to a two species cancer invasion haptotaxis model. Accepted for publication in Discrete Contin. Dyn. Syst. Ser. B. https://arxiv.org/abs/1704.08208
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  BibTeX
  @article{giesselmann2018existence, author = {Giesselmann, Jan and Kolbe, Niklas and Lukacova-Medvidova, Maria and Sfakianakis, Nikolaos}, journal = {Accepted for publication in Discrete Contin. Dyn. Syst. Ser. B.}, owner = {seusdd}, title = {Existence and uniqueness of global classical solutions to a two species cancer invasion haptotaxis model}, url = {https://arxiv.org/abs/1704.08208}, year = 2018 }
36. Gimperlein, H., Meyer, F., Özdemir, C., & Stephan, E. P. (2018). Time domain boundary elements for dynamic contact problems. Computer Methods in Applied Mechanics and Engineering, 333, 147–175. https://doi.org/10.1016/j.cma.2018.01.025
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  @article{gimperlein2018domain, abstract = {Abstract This article considers a unilateral contact problem for the wave equation. The problem is reduced to a variational inequality for the Dirichlet-to-Neumann operator for the wave equation on the boundary, which is solved in a saddle point formulation using boundary elements in the time domain. As a model problem, also a variational inequality for the single layer operator is considered. A priori estimates are obtained for Galerkin approximations both to the variational inequality and the mixed formulation in the case of a flat contact area, where the existence of solutions to the continuous problem is known. Numerical experiments demonstrate the performance of the proposed mixed method. They indicate the stability and convergence beyond flat geometries.}, author = {Gimperlein, H. and Meyer, F. and \"{O}zdemir, C. and Stephan, E. P.}, doi = {https://doi.org/10.1016/j.cma.2018.01.025}, issn = {0045-7825}, journal = {Computer Methods in Applied Mechanics and Engineering}, owner = {meyerfn}, pages = {147 - 175}, title = {Time domain boundary elements for dynamic contact problems}, url = {https://www.sciencedirect.com/science/article/pii/S0045782518300276}, volume = 333, year = 2018 }
37. Gimperlein, H., Meyer, F., Özdemir, C., Stark, D., & Stephan, E. P. (2018). Boundary elements with mesh refinements for the wave equation. Numer. Math., 139(4), 867--912. https://doi.org/10.1007/s00211-018-0954-6
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  @article{gimperlein2018boundary, abstract = {The solution of the wave equation in a polyhedral domain admits an asymptotic expansion in a neighborhood of the corners and edges. In this article we formulate boundary and screen problems for the wave equation as an equivalent boundary integral equations in time domain and study the regularity properties and numerical approximation of the solution. Guided by the theory for elliptic equations, graded meshes are shown to recover the optimal approximation rates expected for smooth solutions. Numerical experiments illustrate the theory for screen problems. In particular, we discuss the Dirichlet problem, the Dirichlet-to-Neumann operator and applications to the sound emitted by a tire.}, author = {Gimperlein, H. and Meyer, F. and \"{O}zdemir, C. and Stark, D. and Stephan, E. P.}, doi = {https://doi.org/10.1007/s00211-018-0954-6}, journal = {Numer. Math.}, month = {08}, number = 4, owner = {meyerfn}, pages = {867--912}, title = {Boundary elements with mesh refinements for the wave equation.}, url = {https://doi.org/10.1007/s00211-018-0954-6}, volume = 139, year = 2018 }
38. Griesemer, M., & Wünsch, A. (2018). On the domain of the Nelson Hamiltonian. J. Math. Phys., 59(4), 042111, 21. https://doi.org/10.1063/1.5018579
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  @article{MR3794034, author = {Griesemer, M. and W\"{u}nsch, A.}, doi = {10.1063/1.5018579}, fjournal = {Journal of Mathematical Physics}, issn = {0022-2488}, journal = {J. Math. Phys.}, mrclass = {81V19}, mrnumber = {3794034}, mrreviewer = {Akito Suzuki}, number = 4, pages = {042111, 21}, title = {On the domain of the {N}elson {H}amiltonian}, url = {https://doi.org/10.1063/1.5018579}, volume = 59, year = 2018 }
39. Griesemer, M., & Linden, U. (2018). Stability of the two-dimensional Fermi polaron. Lett. Math. Phys., 108(8), 1837--1849. https://doi.org/10.1007/s11005-018-1055-2
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  @article{MR3814728, author = {Griesemer, Marcel and Linden, Ulrich}, doi = {10.1007/s11005-018-1055-2}, fjournal = {Letters in Mathematical Physics}, issn = {0377-9017}, journal = {Lett. Math. Phys.}, mrclass = {81V70 (35J10 35P15)}, mrnumber = {3814728}, number = 8, pages = {1837--1849}, title = {Stability of the two-dimensional {F}ermi polaron}, url = {https://doi.org/10.1007/s11005-018-1055-2}, volume = 108, year = 2018 }
40. Guo, Y., & Scherer, C. W. (2018). Robust Gain-Scheduled Controller Design with a Hierarchical Structure. IFAC-PapersOnline, 51(25), 228–233. https://doi.org/10.1016/j.ifacol.2018.11.110
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  BibTeX
  @inproceedings{GuoSch18, author = {Guo, Y. and Scherer, C. W.}, booktitle = {{IFAC}-{P}apers{O}nline}, doi = {10.1016/j.ifacol.2018.11.110}, number = 25, pages = {228-233}, pdf-file = {http://www.mathematik.uni-stuttgart.de/fak8/imng peerReviewed /lehrstuhl/lehrstuhl_fuer_mathematische_systemtheorie/publikationen/papers/GuoSch18.pdf}, title = {{R}obust {G}ain-{S}cheduled {C}ontroller {D}esign with a {H}ierarchical {S}tructure}, url = {https://doi.org/10.1016/j.ifacol.2018.11.110}, volume = 51, year = 2018 }
41. Haasdonk, B., Hamzi, B., Santin, G., & Wittwar, D. (2018). Greedy Kernel Methods for Center Manifold Approximation (ArXiv 1810.11329; Nummer 1810.11329).
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  @techreport{Boumediene2018, author = {Haasdonk, Bernard and Hamzi, Boumediene and Santin, Gabriele and Wittwar, Dominik}, number = {1810.11329}, owner = {santinge}, title = {Greedy Kernel Methods for Center Manifold Approximation}, type = {ArXiv}, year = 2018 }
42. Haasdonk, B., & Santin, G. (2018). Greedy Kernel Approximation for Sparse Surrogate Modeling. In W. Keiper, A. Milde, & S. Volkwein (Hrsg.), Reduced-Order Modeling (ROM) for Simulation and Optimization: Powerful Algorithms as Key Enablers for Scientific Computing (S. 21--45). Springer International Publishing. https://doi.org/10.1007/978-3-319-75319-5_2
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  BibTeX
  @incollection{SH2017b, abstract = {Modern simulation scenarios frequently require multi-query or real-time responses of simulation models for statistical analysis, optimization, or process control. However, the underlying simulation models may be very time-consuming rendering the simulation task difficult or infeasible. This motivates the need for rapidly computable surrogate models. We address the case of surrogate modeling of functions from vectorial input to vectorial output spaces. These appear, for instance, in simulation of coupled models or in the case of approximating general input--output maps. We review some recent methods and theoretical results in the field of greedy kernel approximation schemes. In particular, we recall the vectorial kernel orthogonal greedy algorithm (VKOGA) for approximating vector-valued functions. We collect some recent convergence statements that provide sound foundation for these algorithms, in particular quasi-optimal convergence rates in case of kernels inducing Sobolev spaces. We provide some initial experiments that can be obtained with non-symmetric greedy kernel approximation schemes. The results indicate better stability and overall more accurate models in situations where the input data locations are not equally distributed.}, address = {Cham}, author = {Haasdonk, Bernard and Santin, Gabriele}, booktitle = {Reduced-Order Modeling (ROM) for Simulation and Optimization: Powerful Algorithms as Key Enablers for Scientific Computing}, doi = {10.1007/978-3-319-75319-5_2}, editor = {Keiper, Winfried and Milde, Anja and Volkwein, Stefan}, isbn = {978-3-319-75319-5}, owner = {santinge}, pages = {21--45}, publisher = {Springer International Publishing}, title = {Greedy Kernel Approximation for Sparse Surrogate Modeling}, url = {https://doi.org/10.1007/978-3-319-75319-5_2}, year = 2018 }
43. Haesaert, S., Weiland, S., & Scherer, C. W. (2018). A separation theorem for guaranteed $H_2$ performance through matrix inequalities. Automatica, 96, 306–313. https://doi.org/10.1016/j.automatica.2018.07.002
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  @article{HaeWei18, author = {Haesaert, S. and Weiland, S. and Scherer, C. W.}, doi = {10.1016/j.automatica.2018.07.002}, journal = {Automatica}, pages = {306-313}, pdf-file = {http://www.mathematik.uni-stuttgart.de/fak8/imng/lehrstuhl/lehrstuhl_fuer_mathematische_systemtheorie/publikationen/papers/HaeWei18.pdf}, title = {{A} separation theorem for guaranteed ${H}_2$ performance through matrix inequalities}, url = {https://doi.org/10.1016/j.automatica.2018.07.002}, volume = 96, year = 2018 }
44. Hang, H., Steinwart, I., Feng, Y., & Suykens, J. A. K. (2018). Kernel Density Estimation for Dynamical Systems. J. Mach. Learn. Res., 19, 1--49.
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  @article{HaStFeSu18a, author = {Hang, H. and Steinwart, I. and Feng, Y. and Suykens, J.A.K.}, institution = {Fakult{\"a}t f{\"u}r Mathematik und Physik, Universit{\"at} Stuttgart}, journal = {J. Mach. Learn. Res.}, note = {\url{http://jmlr.org/papers/volume19/16-349/16-349.pdf}}, pages = {1--49}, title = {Kernel Density Estimation for Dynamical Systems}, volume = 19, year = 2018 }
45. Harbrecht, H., Wendland, W. L., & Zorii, N. (2018). Minimal energy problems for strongly singular Riesz kernels. Mathematische Nachrichten, 291, 55–85. https://doi.org/10.1002/mana.201600024
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  @article{harbrecht2018minimal, author = {Harbrecht, Helmut and Wendland, Wolfgang L. and Zorii, Natalia}, doi = {https://doi.org/10.1002/mana.201600024}, journal = {Mathematische Nachrichten}, number = 291, pages = {55-85}, title = {Minimal energy problems for strongly singular Riesz kernels}, year = 2018 }
46. Holicki, T., & Scherer, C. W. (2018). A Swapping Lemma for Switched Systems. IFAC-PapersOnLine, 51(25), 346–352. https://doi.org/10.1016/j.ifacol.2018.11.131
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  @article{HolSch18, author = {Holicki, T. and Scherer, C. W.}, doi = {10.1016/j.ifacol.2018.11.131}, journal = {IFAC-PapersOnLine}, number = 25, pages = {346-352}, pdf-file = {http://www.mathematik.uni-stuttgart.de/fak8/imng/lehrstuhl/lehrstuhl_fuer_mathematische_systemtheorie/publikationen/papers/HolSch18.pdf}, title = {{A} {S}wapping {L}emma for {S}witched {S}ystems}, url = {https://doi.org/10.1016/j.ifacol.2018.11.131}, volume = 51, year = 2018 }
47. Holicki, T., & Scherer, C. W. (2018). Output-Feedback Gain-Scheduling Synthesis for a Class of Switched Systems via Dynamic Resetting $D$-Scalings. 57th IEEE Conf. Decision and Control, 6440–6445. https://doi.org/10.1109/CDC.2018.8619128
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  @inproceedings{HolSch18b, abstract = {We derive novel criteria for robust stability and output-feedback gain-scheduling controller synthesis for a class of switched systems that are affected by piecewise constant parameters with dwell-time constraints. Our findings are based on clock-dependent Lyapunov arguments and rely, in contrast to other approaches, on separation techniques from robust control involving dynamic multipliers. The obtained conditions are expressed as infinite-dimensional linear matrix inequalities which can be solved by, e.g., using sum-of-squares relaxation methods. We illustrate our results with a numerical example.}, author = {Holicki, Tobias and Scherer, Carsten W.}, booktitle = {57th IEEE Conf. Decision and Control}, doi = {10.1109/CDC.2018.8619128}, pages = {6440-6445}, title = {Output-Feedback Gain-Scheduling Synthesis for a Class of Switched Systems via Dynamic Resetting ${D}$-Scalings}, url = {https://doi.org/10.1109/CDC.2018.8619128}, year = 2018 }
48. Hsiao, G. C., Steinbach, O., & Wendland, W. L. (2018). Boundary Element Methods: Foundation and Error Analysis. Encyclopedia of Computational Mechanics Second Edition, 62. https://doi.org/10.1002/9781119176817.ecm2007
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  @article{hsiao2018boundary, author = {Hsiao, Georg C. and Steinbach, Olaf and Wendland, Wolfgang L.}, doi = {https://doi.org/10.1002/9781119176817.ecm2007}, editor = {Stein, E. and Borst, R. and Hughes, T. J.}, isbn = {9781119176817}, pages = 62, title = {Boundary Element Methods: Foundation and Error Analysis}, volume = {Encyclopedia of Computational Mechanics Second Edition}, year = 2018 }
49. Kohler, M., Krzyzak, A., Tent, R., & Walk, H. (2018). Nonparametric quantile estimation using importance sampling. ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 70(2), 439–465. https://doi.org/10.1007/s10463-016-0595-4
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  @article{WOS:000426105000012, abstract = {Nonparametric estimation of a quantile of a random variable m(X) is considered, where is a function which is costly to compute and X is a -valued random variable with a given density. An importance sampling quantile estimate of m(X), which is based on a suitable estimate of m, is defined, and it is shown that this estimate achieves a rate of convergence of order . The finite sample size behavior of the estimate is illustrated by simulated data.}, address = {TIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY}, affiliation = {Krzyzak, A (Corresponding Author), Concordia Univ, Dept Comp Sci \& Software Engn, 1455 Maisonneuve Blvd West, Montreal, PQ H3G 1M8, Canada. Kohler, Michael; Tent, Reinhard, Tech Univ Darmstadt, Fachbereich Math, Schlossgartenstr 7, D-64289 Darmstadt, Germany. Krzyzak, Adam, Concordia Univ, Dept Comp Sci \& Software Engn, 1455 Maisonneuve Blvd West, Montreal, PQ H3G 1M8, Canada. Walk, Harro, Univ Stuttgart, Fachbereich Math, Pfaffenwaldring 57, D-70569 Stuttgart, Germany.}, author = {Kohler, Michael and Krzyzak, Adam and Tent, Reinhard and Walk, Harro}, author-email = {kohler@mathematik.tu-darmstadt.de krzyzak@cs.concordia.ca tent@mathematik.tu-darmstadt.de walk@mathematik.uni-stuttgart.de}, da = {2021-08-10}, doc-delivery-number = {FX5GB}, doi = {10.1007/s10463-016-0595-4}, eissn = {1572-9052}, funding-acknowledgement = {German Research Foundation (DFG) within the Collaborative Research CentreGerman Research Foundation (DFG) {[}805]; Natural Sciences and Engineering Research Council of CanadaNatural Sciences and Engineering Research Council of Canada (NSERC)CGIAR {[}RGPIN-2015-06412]}, funding-text = {The first author would like to thank the German Research Foundation (DFG) for funding this project within the Collaborative Research Centre 805. The second author would like to acknowledge the support from the Natural Sciences and Engineering Research Council of Canada under Grant RGPIN-2015-06412.}, issn = {0020-3157}, journal = {ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS}, journal-iso = {Ann. Inst. Stat. Math.}, language = {English}, month = {04}, number = 2, number-of-cited-references = {33}, pages = {439-465}, publisher = {SPRINGER HEIDELBERG}, research-areas = {Mathematics}, times-cited = {3}, title = {Nonparametric quantile estimation using importance sampling}, type = {Article}, unique-id = {WOS:000426105000012}, usage-count-last-180-days = {1}, usage-count-since-2013 = {3}, volume = 70, web-of-science-categories = {Statistics \& Probability}, year = 2018 }
50. Kohr, M., & Wendland, W. L. (2018). Layer Potentials and Poisson Problems for the Nonsmooth Coefficient Brinkman System in Sobolev and Besov Spaces. Journal of Mathematical Fluid Mechanics, 4(20), 1921–1965. https://doi.org/10.1007/s00021-018-0394-1
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  @article{kohr2018layer, author = {Kohr, Mirela and Wendland, Wolfgang L.}, doi = {https://doi.org/10.1007/s00021-018-0394-1}, journal = {Journal of Mathematical Fluid Mechanics}, number = 20, pages = {1921–1965}, title = {Layer Potentials and Poisson Problems for the Nonsmooth Coefficient Brinkman System in Sobolev and Besov Spaces}, volume = 4, year = 2018 }
51. Kohr, M., & Wendland, W. L. (2018). Variational approach for the Stokes and Navier-Stokes systems with nonsmooth coefficients in Lipschitz domains on compact Riemannian manifolds. Calc. Var. Partial Differential Equations, 57(6), Paper No. 165, 41. https://doi.org/10.1007/s00526-018-1426-7
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  BibTeX
  @article{MR3861903, author = {Kohr, Mirela and Wendland, Wolfgang L.}, doi = {10.1007/s00526-018-1426-7}, fjournal = {Calculus of Variations and Partial Differential Equations}, issn = {0944-2669}, journal = {Calc. Var. Partial Differential Equations}, mrclass = {35Q35 (35A15 35B30 35R01 42B20 46E35)}, mrnumber = {3861903}, number = 6, pages = {Paper No. 165, 41}, title = {Variational approach for the {S}tokes and {N}avier-{S}tokes systems with nonsmooth coefficients in {L}ipschitz domains on compact {R}iemannian manifolds }, url = {https://doi.org/10.1007/s00526-018-1426-7}, volume = 57, year = 2018 }
52. Kovar\’ık, H., Ruszkowski, B., & Weidl, T. (2018). Melas-type bounds for the Heisenberg Laplacian on bounded domains. Journal of Spectral Theory, 8(2), 413--434. https://doi.org/10.4171/jst/200
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  @article{Kova_k_2018, abstract = {This paper is concerned with the study of Riesz means of the eigenvalues of the sub-Laplacian A(Ω)=−X^21−X^22, in the Heisenberg group H1 with Dirichlet boundary conditions on bounded domains Ω of ℝ3 (X1,X2 form a basis for the associated Heisenberg Lie algebra). The spectrum of the sub-Laplacian is purely discrete, and Hansson and Laptev proved an estimate for Tr(A(Ω)−λ)− in terms of the measure of Ω and λ3. The authors of this article improve this estimate and obtain an inequality with a sharp leading term and an additional lower-order term. The method that they employ does not rely on a Hardy inequality involving the distance to the boundary; instead they exploit the properties of the Carnot-Carathéodory metric associated to the Heisenberg setting. }, author = {Kova{\v{r}}{\'{\i}}k, Hynek and Ruszkowski, Bartosch and Weidl, Timo}, doi = {10.4171/jst/200}, journal = {Journal of Spectral Theory}, language = {English}, month = {02}, number = 2, pages = {413--434}, publisher = {European Mathematical Society Publishing House}, title = {Melas-type bounds for the Heisenberg Laplacian on bounded domains}, url = {https://doi.org/10.4171%2Fjst%2F200}, volume = 8, year = 2018 }
53. Kraemer, B., Scharpf, M., Keckstein, S., Dippon, J., Tsaousidis, C., Brunecker, K., Enderle, MD., Neugebauer, A., Nuessle, D., Fend, F., Brucker, S., Taran, FA., Kommoss, S., & Rothmund, R. (2018). A prospective randomized experimental study to investigate the peritoneal adhesion formation after waterjet injection and argon plasma coagulation (HybridAPC) in a rat model. Arch Gynecol Obstet., 2018, Apr;297(4), 961–967. https://doi.org/10.1007/s00404-018-4661-4
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  @article{kraemer2018prospective, author = {Kraemer, B. and Scharpf, M. and Keckstein, S. and Dippon, J. and Tsaousidis, C. and Brunecker, K. and Enderle, MD. and Neugebauer, A. and Nuessle, D. and Fend, F. and Brucker, S. and Taran, FA. and Kommoss, S. and Rothmund, R.}, doi = {10.1007/s00404-018-4661-4}, journal = {Arch Gynecol Obstet. }, pages = {961-967}, title = {A prospective randomized experimental study to investigate the peritoneal adhesion formation after waterjet injection and argon plasma coagulation (HybridAPC) in a rat model}, volume = {2018, Apr;297(4)}, year = 2018 }
54. Köppel, M., Martin, V., Jaffré, J., & Roberts, J. E. (2018). A Lagrange multiplier method for a discrete fracture model for flow in porous media. (submitted). https://hal.archives-ouvertes.fr/hal-01700663v2
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  @article{koppel2018lagrange, author = {Köppel, M. and Martin, V. and Jaffr{\'e}, J. and Roberts, J. E.}, journal = {(submitted)}, owner = {szur}, title = {A Lagrange multiplier method for a discrete fracture model for flow in porous media}, url = {https://hal.archives-ouvertes.fr/hal-01700663v2}, year = 2018 }
55. Köppel, M., Martin, V., & Roberts, J. E. (2018). A stabilized Lagrange multiplier finite-element method for flow in porous media with fractures. (submitted). https://hal.archives-ouvertes.fr/hal-01761591
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  @article{koppel2018stabilized, author = {Köppel, M. and Martin, V. and Roberts, J. E.}, journal = {(submitted)}, owner = {szur}, title = {A stabilized Lagrange multiplier finite-element method for flow in porous media with fractures}, url = {https://hal.archives-ouvertes.fr/hal-01761591}, year = 2018 }
56. Köppl, T., Santin, G., Haasdonk, B., & Helmig, R. (2018). Numerical modelling of a peripheral arterial stenosis using dimensionally reduced models and kernel methods. International Journal for Numerical Methods in Biomedical Engineering, 0(ja), e3095. https://doi.org/10.1002/cnm.3095
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  @article{koppl2018numerical, abstract = {Summary In this work, we consider two kinds of model reduction techniquesto simulate blood flow through the largest systemic arteries, where a stenosis is located in a peripheral artery i.e. in an artery that is located far away from the heart. For our simulations we place the stenosis in one of the tibial arteries belonging to the right lower leg (right post tibial artery). The model reduction techniques that are used are on the one hand dimensionally reduced models (1-Dand 0-D models, the so-called mixed-dimension model) and on the other hand surrogate models produced by kernel methods. Both methods are combined in such a way that the mixed-dimension models yield training data for the surrogate model, where the surrogate model is parametrisedby the degree of narrowing of the peripheral stenosis. By means of a well-trained surrogate model, we show that simulation data can be reproduced with a satisfactory accuracy and that parameter optimisation or state estimation problems can be solved in a very efficient way. Furthermore it is demonstrated that a surrogate model enables us to present after a very short simulation time the impact of a varying degree of stenosis on blood flow, obtaining a speedup of several orders over the full model.}, author = {K{\"o}ppl, Tobias and Santin, Gabriele and Haasdonk, Bernard and Helmig, Rainer}, doi = {10.1002/cnm.3095}, file = {:http\://www.mathematik.uni-stuttgart.de/fak8/ians/publications/files/KSHH2017_www_preprint.pdf:PDF}, journal = {International Journal for Numerical Methods in Biomedical Engineering}, note = {e3095 cnm.3095}, number = {ja}, owner = {santinge}, pages = {e3095}, title = {Numerical modelling of a peripheral arterial stenosis using dimensionally reduced models and kernel methods}, url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/cnm.3095}, volume = 0, year = 2018 }
57. Langer, A. (2018). Investigating the influence of box-constraints on the solution of a total variation model via an efficient primal-dual method. Journal of Imaging, 4, 1. http://www.mdpi.com/2313-433X/4/1/12
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  @article{langer2018investigating, author = {Langer, Andreas}, journal = {Journal of Imaging}, owner = {langeras}, pages = 1, title = {Investigating the influence of box-constraints on the solution of a total variation model via an efficient primal-dual method}, url = {http://www.mdpi.com/2313-433X/4/1/12}, volume = 4, year = 2018 }
58. Langer, A. (2018). Locally adaptive total variation for removing mixed Gaussian-impulse noise. International Journal of Computer Mathematics, 19. https://www.tandfonline.com/doi/abs/10.1080/00207160.2018.1438603
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  @article{langer2018locally, author = {Langer, Andreas}, journal = {International Journal of Computer Mathematics}, owner = {langeras}, pages = 19, title = {Locally adaptive total variation for removing mixed Gaussian-impulse noise}, url = {https://www.tandfonline.com/doi/abs/10.1080/00207160.2018.1438603}, year = 2018 }
59. Langer, A. (2018). Overlapping domain decomposition methods for total variation denoising. http://people.ricam.oeaw.ac.at/a.langer/publications/DDfTV.pdf
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  @unpublished{langer2018overlapping, author = {Langer, Andreas}, file = {DDfTV.pdf:http\://www.mathematik.uni-stuttgart.de/fak8/ians/publications/files/DDfTV.pdf:PDF}, note = {submitted}, owner = {langeras}, title = {Overlapping domain decomposition methods for total variation denoising}, url = {http://people.ricam.oeaw.ac.at/a.langer/publications/DDfTV.pdf}, year = 2018 }
60. Maboudi Afkham, B., & Hesthaven, J. S. (2018). Structure-Preserving Model-Reduction of Dissipative Hamiltonian Systems. Journal of Scientific Computing, 1–19. https://doi.org/10.1007/s10915-018-0653-6
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  @article{MaboudiAfkham2018, author = {Maboudi Afkham, Babak and Hesthaven, Jan S.}, day = 05, doi = {10.1007/s10915-018-0653-6}, issn = {1573-7691}, journal = {Journal of Scientific Computing}, month = {02}, pages = {1-19}, title = {Structure-Preserving Model-Reduction of Dissipative Hamiltonian Systems}, url = {https://doi.org/10.1007/s10915-018-0653-6}, year = 2018 }
61. Magiera, J., & Rohde, C. (2018). A particle-based multiscale solver for compressible liquid-vapor flow. Springer Proc. Math. Stat., 291--304. https://doi.org/10.1007/978-3-319-91548-7_23
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  @article{magiera.rohde:particle:2018, abstract = {To describe complex flow systems accurately, it is in many cases important to account for the properties of fluid flows on a microscopic scale. In this work, we focus on the description of liquid--vapor flow with a sharp interface between the phases. The local phase dynamics at the interface can be interpreted as a Riemann problem for which we develop a multiscale solver in the spirit of the heterogeneous multiscale method (HMM) [7], using a particle-based microscale model to augment the macroscopic two-phase flow system. The application of a microscale model makes it possible to use the intrinsic properties of the fluid at the microscale, instead of formulating (ad hoc) constitutive relations.}, address = {Cham}, author = {Magiera, Jim and Rohde, Christian}, booktitle = {Theory, Numerics and Applications of Hyperbolic Problems II}, doi = {10.1007/978-3-319-91548-7_23}, editor = {Klingenberg, Christian and Westdickenberg, Michael}, isbn = {978-3-319-91548-7}, journal = {Springer Proc. Math. Stat.}, pages = {291--304}, publisher = {Springer International Publishing}, title = {A particle-based multiscale solver for compressible liquid-vapor flow}, url = {http://dx.doi.org/10.1007/978-3-319-91548-7_23}, year = 2018 }
62. Oesting, M., Bel, L., & Lantuéjoul, C. (2018). Sampling from a max-stable process conditional on a homogeneous functional with an application for downscaling climate data. Scand. J. Stat., 45(2), 382--404. https://doi.org/10.1111/sjos.12299
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  @article{MR3803595, author = {Oesting, Marco and Bel, Liliane and Lantu\'{e}joul, Christian}, doi = {10.1111/sjos.12299}, fjournal = {Scandinavian Journal of Statistics. Theory and Applications}, issn = {0303-6898}, journal = {Scand. J. Stat.}, mrclass = {60G52 (60J22 62P12)}, mrnumber = {3803595}, number = 2, pages = {382--404}, title = {Sampling from a max-stable process conditional on a homogeneous functional with an application for downscaling climate data}, url = {https://doi.org/10.1111/sjos.12299}, volume = 45, year = 2018 }
63. Oesting, M., Schlather, M., & Zhou, C. (2018). Exact and fast simulation of max-stable processes on a compact set using the normalized spectral representation. Bernoulli, 24(2), 1497--1530. https://doi.org/10.3150/16-BEJ905
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  @article{MR3706800, author = {Oesting, Marco and Schlather, Martin and Zhou, Chen}, doi = {10.3150/16-BEJ905}, fjournal = {Bernoulli. Official Journal of the Bernoulli Society for Mathematical Statistics and Probability}, issn = {1350-7265}, journal = {Bernoulli}, mrclass = {60G70 (60-08 60G55)}, mrnumber = {3706800}, number = 2, pages = {1497--1530}, title = {Exact and fast simulation of max-stable processes on a compact set using the normalized spectral representation}, url = {https://doi.org/10.3150/16-BEJ905}, volume = 24, year = 2018 }
64. Oesting, M., & Strokorb, K. (2018). Efficient simulation of Brown-Resnick processes based on variance reduction of Gaussian processes. Adv. in Appl. Probab., 50(4), 1155--1175. https://doi.org/10.1017/apr.2018.54
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  @article{MR3881113, author = {Oesting, Marco and Strokorb, Kirstin}, doi = {10.1017/apr.2018.54}, fjournal = {Advances in Applied Probability}, issn = {0001-8678}, journal = {Adv. in Appl. Probab.}, mrclass = {60G70 (60G15 60G60)}, mrnumber = {3881113}, mrreviewer = {Ou Zhao}, number = 4, pages = {1155--1175}, title = {Efficient simulation of {B}rown-{R}esnick processes based on variance reduction of {G}aussian processes}, url = {https://doi.org/10.1017/apr.2018.54}, volume = 50, year = 2018 }
65. Oesting, M., & Stein, A. (2018). Spatial modeling of drought events using max-stable processes. Stoch. Env. Res. Risk A., 32(1), 63--81. https://doi.org/10.1007/s00477-017-1406-z
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  @article{oestingstein18, author = {Oesting, Marco and Stein, Alfred}, doi = {10.1007/s00477-017-1406-z}, fjournal = {Stochastic Environmental Research and Risk Assessment}, journal = {Stoch. Env. Res. Risk A.}, number = 1, pages = {63--81}, title = {Spatial modeling of drought events using max-stable processes}, url = {https://doi.org/10.1007/s00477-017-1406-z}, volume = 32, year = 2018 }
66. Oesting, M. (2018). Equivalent representations of max-stable processes via $\ell^p$-norms. J. Appl. Probab., 55(1), 54--68. https://doi.org/10.1017/jpr.2018.5
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  @article{MR3780382, author = {Oesting, Marco}, doi = {10.1017/jpr.2018.5}, fjournal = {Journal of Applied Probability}, issn = {0021-9002}, journal = {J. Appl. Probab.}, mrclass = {60G70 (60G52)}, mrnumber = {3780382}, mrreviewer = {Danijel Krizmani\'{c}}, number = 1, pages = {54--68}, title = {Equivalent representations of max-stable processes via {$\ell^p$}-norms}, url = {https://doi.org/10.1017/jpr.2018.5}, volume = 55, year = 2018 }
67. Raja Sekhar, G. P., Sharanya, V., & Rohde, C. (2018). Effect of surfactant concentration and interfacial slip on the flow past a viscous drop at low surface Péclet number. International Journal of Multiphase Flow, 107, 82–103. http://arxiv.org/abs/1609.03410
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  @article{rajasekhar2018effect, abstract = {The motion of a viscous drop is investigated when the interface is fully covered with a stagnant layer of surfactant in an arbitrary unsteady Stokes flow for the low surface P\'eclet number limit. The effect of the interfacial slip coefficient on the behavior of the flow field is also considered. The hydrodynamic problem is solved by the solenoidal decomposition method and the drag force is computed in terms of Faxen's laws using a perturbation ansatz in powers of the surface P\'eclet number. The analytical expressions for the migration velocity of the drop are also obtained in powers of the surface P\'eclet number. Further instances corresponding to a given ambient flow as uniform flow, Couette flow, Poiseuille flow are analyzed. Moreover, it is observed that, a surfactant-induced cross-stream migration of the drop occur towards the centre-line in both Couette flow and Poiseuille flow cases. The variation of the drag force and migration velocity is computed for different parameters such as P\'eclet number, Marangoni number etc.}, author = {Raja Sekhar, G. P. and Sharanya, V. and Rohde, Christian}, journal = {International Journal of Multiphase Flow}, owner = {szur}, pages = {82-103}, title = {Effect of surfactant concentration and interfacial slip on the flow past a viscous drop at low surface Péclet number}, url = {http://arxiv.org/abs/1609.03410}, volume = 107, year = 2018 }
68. Rigaud, G., & Hahn, B. N. (2018). 3D Compton scattering imaging and contour reconstruction for a class of Radon transforms. Inverse Problems, 34(7), 075004. https://doi.org/10.1088/1361-6420/aabf0b
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  @article{rigaud2018compton, abstract = {Compton scattering imaging is a nascent concept arising from the current development of high-sensitive energy detectors and is devoted to exploit the scattering radiation to image the electron density of the studied medium. Such detectors are able to collect incoming photons in terms of energy. This paper introduces potential 3D modalities in Compton scattering imaging (CSI). The associated measured data are modeled using a class of generalized Radon transforms. The study of this class of operators leads to build a filtered backprojection kind algorithm preserving the contours of the sought-for function and offering a fast approach to partially solve the associated inverse problems. Simulation results including Poisson noise demonstrate the potential of this new imaging concept as well as the proposed image reconstruction approach.}, author = {Rigaud, G. and Hahn, B. N.}, doi = {10.1088/1361-6420/aabf0b}, journal = {Inverse Problems}, number = 7, pages = 075004, title = {3D Compton scattering imaging and contour reconstruction for a class of Radon transforms}, url = {https://doi.org/10.1088/1361-6420/aabf0b}, volume = 34, year = 2018 }
69. Rohde, C., & Zeiler, C. (2018). On Riemann solvers and kinetic relations for isothermal two-phase flows with surface tension. Z. Angew. Math. Phys., 3, 69, Art. 76. https://doi.org/10.1007/s00033-018-0958-1
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  @article{rohde2018riemann, author = {Rohde, C. and Zeiler, C.}, doi = {https://doi.org/10.1007/s00033-018-0958-1}, journal = {Z. Angew. Math. Phys.}, number = 3, owner = {szur}, pages = {69, Art. 76}, title = {On Riemann solvers and kinetic relations for isothermal two-phase flows with surface tension}, url = {https://doi.org/10.1007/s00033-018-0958-1}, year = 2018 }
70. Rohde, C. (2018). Fully resolved compressible two-phase flow : modelling, analytical and numerical issues. In M. Bulicek, E. Feireisl, & M. Pokorný (Hrsg.), New trends and results in mathematical description of fluid flows (S. 115–181). Birkhäuser. https://doi.org/10.1007/978-3-319-94343-5
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  @inbook{rohde2018fully, abstract = {Mathematical models for compressible two-phase flow of homogeneous fluids that occur in a liquid and a vapour phase can be classified as either belonging to the class of sharp interface models or to the class of diffuse interface models. Sharp interface models display the phase boundary as a sharp front separating two bulk model domains while diffuse interface models consist of a single model on the complete domain of interest such that phase boundaries are represented as transition zones. This contribution is devoted to a self-consistent introduction to both model classes.}, author = {Rohde, Christian}, booktitle = {New trends and results in mathematical description of fluid flows}, chapter = 4, doi = {10.1007/978-3-319-94343-5}, editor = {Bulicek, Miroslav and Feireisl, Eduard and Pokorný, Milan}, isbn = {{978-3-319-94343-5} and {978-3-319-94342-8}}, language = {eng}, location = {Basel}, pages = {115-181}, publisher = {Birkhäuser}, series = {Nečas Center Series}, title = {Fully resolved compressible two-phase flow : modelling, analytical and numerical issues}, url = {https://doi.org/10.1007/978-3-319-94343-5_4}, year = 2018 }
71. Ruiz, P. A., Freiberg, U. R., & Kigami, J. (2018). Completely symmetric resistance forms on the stretched Sierpinski gasket. JOURNAL OF FRACTAL GEOMETRY, 5(3), 227–277. https://doi.org/10.4171/JFG/61
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  @article{WOS:000438152600001, abstract = {The stretched Sierpinski gasket, SSG for short, is the space obtained by replacing every branching point of the Sierpinski gasket by an interval. It has also been called the ``deformed Sierpinski gasket{''} or ``Hanoi attractor{''}. As a result, it is the closure of a countable union of intervals and one might expect that a diffusion on SSG is essentially a kind of gluing of the Brownian motions on the intervals. In fact, there have been several works in this direction. There still remains, however, ``reminiscence{''} of the Sierpinski gasket in the geometric structure of SSG and the same should therefore be expected for diffusions. This paper shows that this is the case. In this work, we identify all the completely symmetric resistance forms on SSG. A completely symmetric resistance form is a resistance form whose restriction to every contractive copy of SSG in itself is invariant under all geometrical symmetries of the copy, which constitute the symmetry group of the triangle. We prove that completely symmetric resistance forms on SSG can be sums of the Dirichlet integrals on the intervals with some particular weights, or a linear combination of a resistance form of the former kind and the standard resistance form on the Sierpinski gasket.}, address = {PUBLISHING HOUSE, E T H-ZENTRUM SEW A27, SCHEUCHZERSTRASSE 70, CH-8092 ZURICH, SWITZERLAND}, affiliation = {Ruiz, PA (Corresponding Author), Univ Connecticut, Dept Math, 341 Mansfield Rd,Unit 1009, Storrs, CT 06269 USA. Ruiz, Patricia Alonso, Univ Connecticut, Dept Math, 341 Mansfield Rd,Unit 1009, Storrs, CT 06269 USA. Freiberg, Uta R., Univ Stuttgart, Inst Stochast \& Applicat, Pfaffenwaldring 57, D-70569 Stuttgart, Germany. Kigami, Jun, Kyoto Univ, Grad Sch Informat, Kyoto 6068501, Japan.}, author = {Ruiz, Patricia Alonso and Freiberg, Uta R. and Kigami, Jun}, author-email = {patricia.alonso-ruiz@uconn.edu Uta.Freiberg@mathematik.uni-stuttgart.de kigami@i.kyoto-u.ac.jp}, da = {2021-08-10}, doc-delivery-number = {GM5DY}, doi = {10.4171/JFG/61}, eissn = {2308-1317}, funding-acknowledgement = {NSFNational Science Foundation (NSF) {[}DMS-1613025]; Feodor-Lynen Fellowship program from the Alexander von Humboldt Foundation}, funding-text = {P. A. Ruiz has been partially supported by the NSF grant DMS-1613025 and the Feodor-Lynen Fellowship program from the Alexander von Humboldt Foundation.}, issn = {2308-1309}, journal = {JOURNAL OF FRACTAL GEOMETRY}, journal-iso = {J. Fractal Geom.}, language = {English}, number = 3, number-of-cited-references = {11}, oa = {Green Submitted}, orcid-numbers = {Alonso Ruiz, Patricia/0000-0003-0618-6603}, pages = {227-277}, publisher = {EUROPEAN MATHEMATICAL SOC}, research-areas = {Mathematics}, times-cited = {7}, title = {Completely symmetric resistance forms on the stretched Sierpinski gasket}, type = {Article}, unique-id = {WOS:000438152600001}, usage-count-last-180-days = {0}, usage-count-since-2013 = {0}, volume = 5, web-of-science-categories = {Mathematics}, year = 2018 }
72. Santin, G., Wittwar, D., & Haasdonk, B. (2018). Greedy regularized kernel interpolation (ArXiv preprint 1807.09575; Nummer 1807.09575). University of Stuttgart.
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  @techreport{SaWiHa2018, author = {Santin, Gabriele and Wittwar, Dominik and Haasdonk, Bernard}, groups = {haasdonk, wittwar, santin}, institution = {University of Stuttgart}, number = {1807.09575}, owner = {santinge}, title = {Greedy regularized kernel interpolation}, type = {ArXiv preprint}, year = 2018 }
73. Scherer, C. W., & Veenman, J. (2018). Stability analysis by dynamic dissipation inequalities: On merging frequency-domain techniques with time-domain conditions. Syst. Control Lett., 121, 7–15. https://doi.org/10.1016/j.sysconle.2018.08.005
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  @article{SchVee18, author = {Scherer, C. W. and Veenman, J.}, doi = {10.1016/j.sysconle.2018.08.005}, journal = {Syst. Control Lett.}, pages = {7-15}, pdf-file = {http://www.mathematik.uni-stuttgart.de/fak8/imng/lehrstuhl/lehrstuhl_fuer_mathematische_systemtheorie/publikationen/papers/SchVee18.pdf}, title = {{S}tability analysis by dynamic dissipation inequalities: {O}n merging frequency-domain techniques with time-domain conditions}, url = {https://doi.org/10.1016/j.sysconle.2018.08.005}, volume = 121, year = 2018 }
74. Scherer, C. W., & Holicki, T. (2018). An IQC theorem for relations: Towards stability analysis of data-integrated systems. IFAC-PapersOnline, 51(25), 390–395. https://doi.org/10.1016/j.ifacol.2018.11.138
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  @inproceedings{SchHol18, abstract = {We consider feedback interconnections composed of a linear system whose input-output behavior is constrained by a relation. It is shown how to analyze stability of such interconnections by suitably refining the general framework of integral quadratic constraints. For the special case of static multivalued monotone nonlinearities, we reveal that one can employ Zames-Falb multipliers in order to substantially reduce conservatism if compared with passivity-based approaches and as illustrated with a numerical example. Our results are expected to open up an avenue towards a systematic stability analysis of data-integrated systems.}, author = {Scherer, Carsten W. and Holicki, Tobias}, booktitle = {{IFAC}-{P}apers{O}nline}, doi = {10.1016/j.ifacol.2018.11.138}, number = 25, pages = {390-395}, title = {An IQC theorem for relations: Towards stability analysis of data-integrated systems}, url = {https://doi.org/10.1016/j.ifacol.2018.11.138}, volume = 51, year = 2018 }
75. Schmidt, A., & Haasdonk, B. (2018). Data-driven surrogates of value functions and applications to feedback control for dynamical systems. http://www.simtech.uni-stuttgart.de/publikationen/prints.php?ID=1766
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  @inproceedings{SH18f, author = {Schmidt, A. and Haasdonk, Bernard}, boottitle = {In Proc. of MATHMOD 2018}, groups = {haasdonk, schmidta, haasdonk_all_papers}, owner = {schmidta}, title = {Data-driven surrogates of value functions and applications to feedback control for dynamical systems}, url = {http://www.simtech.uni-stuttgart.de/publikationen/prints.php?ID=1766}, year = 2018 }
76. Schmidt, A., Wittwar, D., & Haasdonk, B. (2018). Rigorous and effective a-posteriori error bounds for nonlinear problems -- Application to RB methods [SimTech Preprint]. University of Stuttgart.
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  @techreport{SWH2018, __markedentry = {[haasdonk:6]}, author = {Schmidt, A. and Wittwar, D. and Haasdonk, Bernard}, institution = {University of Stuttgart}, owner = {haasdonk}, title = {Rigorous and effective a-posteriori error bounds for nonlinear problems -- {A}pplication to {RB} methods}, type = {SimTech Preprint}, year = 2018 }
77. Schmidt, A., & Haasdonk, B. (2018). Reduced basis approximation of large scale parametric algebraic Riccati equations. ESAIM: Control, Optimisation and Calculus of Variations, 24(1), 129--151. https://doi.org/10.1051/cocv/2017011
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  @article{SH18, author = {Schmidt, Andreas and Haasdonk, Bernard}, doi = {10.1051/cocv/2017011}, file = {:PDF/SH17_journal.pdf:PDF}, groups = {haasdonk, schmidta, haasdonk_all_papers}, issn = {1262-3377}, journal = {ESAIM: Control, Optimisation and Calculus of Variations}, month = {01}, number = 1, owner = {schmidta}, pages = {129--151}, publisher = {EDP Sciences}, title = {Reduced basis approximation of large scale parametric algebraic {Riccati} equations}, url = {http://dx.doi.org/10.1051/cocv/2017011}, volume = 24, year = 2018 }
78. Seus, D., Pop, I. S., Rohde, C., Mitra, K., & Radu, F. (2018). A linear domain decompostition method for partially saturated flow in porous media. Comput. Methods Appl. Mech. Eng., 333, 331–355. https://doi.org/10.1016/j.cma.2018.01.029
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  BibTeX
  @article{seus2018linear, author = {Seus, David and Pop, Iuliu S. and Rohde, Christian and Mitra, K. and Radu, Florin}, doi = {https://doi.org/10.1016/j.cma.2018.01.029}, journal = {Comput. Methods Appl. Mech. Eng.}, pages = {331-355}, title = {A linear domain decompostition method for partially saturated flow in porous media}, url = {https://doi.org/10.1016/j.cma.2018.01.029}, volume = 333, year = 2018 }
79. Seus, D., Mitra, K., Pop, I. S., Radu, F. A., & Rohde, C. (2018). A linear domain decomposition method for partially saturated flow in porous media. Comp. Methods Appl. Mech. Eng., 333, 331--355. https://doi.org/10.1016/j.cma.2018.01.029
  - BibTeX
  BibTeX
  @article{seus2018linear, abstract = {Abstract The Richards equation is a nonlinear parabolic equation that is commonly used for modelling saturated/unsaturated flow in porous media. We assume that the medium occupies a bounded Lipschitz domain partitioned into two disjoint subdomains separated by a fixed interface G . This leads to two problems defined on the subdomains which are coupled through conditions expressing flux and pressure continuity at G . After an Euler implicit discretisation of the resulting nonlinear subproblems, a linear iterative ( L -type) domain decomposition scheme is proposed. The convergence of the scheme is proved rigorously. In the last part we present numerical results that are in line with the theoretical finding, in particular the convergence of the scheme under mild restrictions on the time step size. We further compare the scheme to other approaches not making use of a domain decomposition. Namely, we compare to a Newton and a Picard scheme. We show that the proposed scheme is more stable than the Newton scheme while remaining comparable in computational time, even if no parallelisation is being adopted. After presenting a parametric study that can be used to optimise the proposed scheme, we briefly discuss the effect of parallelisation and give an example of a four-domain implementation.}, author = {Seus, David and Mitra, Koondanibha and Pop, Iuliu Sorin and Radu, Florin Adrian and Rohde, Christian}, doi = {https://doi.org/10.1016/j.cma.2018.01.029}, issn = {0045-7825}, journal = {Comp. Methods Appl. Mech. Eng.}, owner = {seusdd}, pages = {331--355}, title = {A linear domain decomposition method for partially saturated flow in porous media }, url = {https://www.sciencedirect.com/science/article/pii/S0045782518300318}, volume = 333, year = 2018 }
80. Sharanya, V., Sekhar, G. P. R., & Rohde, C. (2018). The low surface Péclet number regime for surfactant-laden viscous droplets: Influence of surfactant concentration, interfacial slip effects and cross migration. Int. J. of Multiph. Flow, 107, 82–103. https://doi.org/10.1016/j.ijmultiphaseflow.2018.05.008
  - BibTeX
  BibTeX
  @article{sharanyaa2018surface, author = {Sharanya, V. and Sekhar, G.P. Raja and Rohde, Christian}, doi = {https://doi.org/10.1016/j.ijmultiphaseflow.2018.05.008}, journal = {Int. J. of Multiph. Flow}, month = {10}, number = 107, pages = {82-103}, title = {The low surface Péclet number regime for surfactant-laden viscous droplets: Influence of surfactant concentration, interfacial slip effects and cross migration}, year = 2018 }
81. Wittwar, D., Santin, G., & Haasdonk, B. (2018). Interpolation with uncoupled separable matrix-valued kernels. ArXiv e-prints.
  - BibTeX
  BibTeX
  @article{2018arXiv180709111W, adsnote = {Provided by the SAO/NASA Astrophysics Data System}, adsurl = {http://adsabs.harvard.edu/abs/2018arXiv180709111W}, archiveprefix = {arXiv}, author = {Wittwar, D. and Santin, G. and Haasdonk, B.}, eprint = {1807.09111}, journal = {ArXiv e-prints}, month = {07}, primaryclass = {math.NA}, title = {Interpolation with uncoupled separable matrix-valued kernels}, year = 2018 }
82. Wittwar, D., & Haasdonk, B. (2018). Greedy Algorithms for Matrix-Valued Kernels. University of Stuttgart. http://www.simtech.uni-stuttgart.de/publikationen/prints.php?ID=1773
  - BibTeX
  BibTeX
  @techreport{wittwar2018greedy, abstract = {We are interested in approximating vector-valued functions on a compact set $\Omega\subset \mathbb R^d$. We consider reproducing kernel Hilbert spaces of $\mathbb R^m$-valued functions which each admit a unique matrix-valued reproducing kernel $k$. These spaces seem promising, when modelling correlations between the target function components. The approximation of a function is a linear combination of matrix-valued kernel evaluations multiplied with coefficient vectors. To guarantee a fast evaluation of the approximant the expansion size, i.e. the number of centers $n$ is desired to be small. We thus present three different greedy algorithms by which a suitable set of centers is chosen in an incremental fashion: First, the $P$-Greedy which requires no function evaluations, second and third, the $f$-Greedy and $f/P$-Greedy which require function evaluations but produce centers tailored to the target function. The efficiency of the approaches is investigated on some data from an artificial model.}, author = {Wittwar, Dominik and Haasdonk, Bernard}, file = {:http\://www.mathematik.uni-stuttgart.de/fak8/ians/publications/files/WH18_www_greedy_matrix_valued.pdf:PDF}, institution = {University of Stuttgart}, owner = {santinge}, title = {Greedy Algorithms for Matrix-Valued Kernels}, url = {http://www.simtech.uni-stuttgart.de/publikationen/prints.php?ID=1773}, year = 2018 }
83. Zhang, R., Kyriss, T., Dippon, J., Hansen, M., Boedeker, E., & Friedel, G. (2018). American Society of Anesthesiologists physical status facilitates risk stratification of elderly patients undergoing thoracoscopic lobectomy. European Journal of Cardio-Thoracic Surgery, 53(5), 973–979. https://doi.org/10.1093/ejcts/ezx436
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  BibTeX
  @article{zhang2018american, author = {Zhang, R. and Kyriss, T. and Dippon, J. and Hansen, M. and Boedeker, E. and Friedel, G.}, doi = {10.1093/ejcts/ezx436}, journal = {European Journal of Cardio-Thoracic Surgery}, number = 5, pages = {973-979}, title = {American Society of Anesthesiologists physical status facilitates risk stratification of elderly patients undergoing thoracoscopic lobectomy}, volume = 53, year = 2018 }
84. Zhang, R., Kyriss, T., Dippon, J., Ciupa, S., Boedeker, E., & Friedel, G. (2018). Impact of comorbidity burden on morbidity following horacoscopic lobectomy: a propensity-matched analysis. J Thorac Dis., 2018 Mar;10(3), 1806–1814. https://doi.org/10.21037/jtd.2018.02.62
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  BibTeX
  @article{noauthororeditor2018impact, author = {Zhang, R. and Kyriss, T. and Dippon, J. and Ciupa, S. and Boedeker, E. and Friedel, G.}, doi = {10.21037/jtd.2018.02.62}, journal = {J Thorac Dis.}, pages = {1806-1814}, title = {Impact of comorbidity burden on morbidity following horacoscopic lobectomy: a propensity-matched analysis}, volume = {2018 Mar;10(3)}, year = 2018 }
2017
1. Alkämper, M., & Klöfkorn, R. (2017). Distributed Newest Vertex Bisection. Journal of Parallel and Distributed Computing, 104, 1–11. http://dx.doi.org/10.1016/j.jpdc.2016.12.003
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  BibTeX
  @article{alkamper2017distributed, abstract = {Distributed adaptive conforming refinement requires multiple iterations of the serial refinement algorithm and global communication as the refinement can be propagated over several processor boundaries. We show bounds on the maximum number of iterations. The algorithm is implemented within the open-source software package Dune-ALUGrid.}, author = {Alk{\"a}mper, Martin and Kl{\"o}fkorn, Robert}, doi = {http://dx.doi.org/10.1016/j.jpdc.2016.12.003}, issn = {0743-7315}, journal = {Journal of Parallel and Distributed Computing}, pages = {1 - 11}, title = {Distributed Newest Vertex Bisection}, url = {http://www.sciencedirect.com/science/article/pii/S0743731516301782}, volume = 104, year = 2017 }
2. Alkämper, M., Klöfkorn, R., & Gaspoz, F. (2017). A Weak Compatibility Condition for Newest Vertex Bisection in any Dimension. http://arxiv.org/abs/1711.03141
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  BibTeX
  @unpublished{alkamper2017compatibility, author = {Alk{\"a}mper, Martin and Kl{\"o}fkorn, Robert and Gaspoz, Fernando}, note = {submitted}, title = {A Weak Compatibility Condition for Newest Vertex Bisection in any Dimension}, url = {http://arxiv.org/abs/1711.03141}, year = 2017 }
3. Alkämper, M., & Langer, A. (2017). Using DUNE-ACFem for Non-smooth Minimization of Bounded Variation Functions. Archive of Numerical Software, 5(1), 3--19. https://journals.ub.uni-heidelberg.de/index.php/ans/article/view/27475
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  BibTeX
  @article{alkamper2017using, author = {Alk{\"a}mper, Martin and Langer, Andreas}, file = {NSMSD.pdf:http\://www.ians.uni-stuttgart.de/nmh/stage/downloads/nonsmoothminimization/NSMSD.pdf:PDF}, journal = {Archive of Numerical Software}, number = 1, pages = {3--19}, title = {Using {DUNE-ACFem} for Non-smooth Minimization of Bounded Variation Functions}, url = {https://journals.ub.uni-heidelberg.de/index.php/ans/article/view/27475}, volume = 5, year = 2017 }
4. Alla, A., Haasdonk, B., & Schmidt, A. (2017). Feedback control of parametrized PDEs via model order reduction and dynamic programming principle. University of Stuttgart. http://www.simtech.uni-stuttgart.de/publikationen/prints.php?ID=1765
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  BibTeX
  @techreport{AHS17, author = {Alla, A. and Haasdonk, Bernard and Schmidt, A.}, groups = {haasdonk, schmidta}, institution = {University of Stuttgart}, note = {Submitted}, owner = {schmidta}, title = {Feedback control of parametrized PDEs via model order reduction and dynamic programming principle}, url = {http://www.simtech.uni-stuttgart.de/publikationen/prints.php?ID=1765}, year = 2017 }
5. Alla, A., Gunzburger, M., Haasdonk, B., & Schmidt, A. (2017). Model order reduction for the control of parametrized partial differential equations via dynamic programming principle. University of Stuttgart.
  - BibTeX
  BibTeX
  @techreport{AGHS2017, author = {Alla, A. and Gunzburger, M. and Haasdonk, Bernard and Schmidt, A.}, institution = {University of Stuttgart}, owner = {schmidta}, title = {Model order reduction for the control of parametrized partial differential equations via dynamic programming principle}, year = 2017 }
6. Alla, A., Schmidt, A., & Haasdonk, B. (2017). Model Order Reduction Approaches for Infinite Horizon Optimal Control Problems via the HJB Equation. In P. Benner, M. Ohlberger, A. Patera, G. Rozza, & K. Urban (Hrsg.), Model Reduction of Parametrized Systems (S. 333--347). Springer International Publishing. https://doi.org/10.1007/978-3-319-58786-8_21
  - BibTeX
  BibTeX
  @inbook{alla2017model, abstract = {We investigate feedback control for infinite horizon optimal control problems for partial differential equations. The method is based on the coupling between Hamilton-Jacobi-Bellman (HJB) equations and model reduction techniques. It is well-known that HJB equations suffer the so called curse of dimensionality and, therefore, a reduction of the dimension of the system is mandatory. In this report we focus on the infinite horizon optimal control problem with quadratic cost functionals. We compare several model reduction methods such as Proper Orthogonal Decomposition, Balanced Truncation and a new algebraic Riccati equation based approach. Finally, we present numerical examples and discuss several features of the different methods analyzing advantages and disadvantages of the reduction methods.}, address = {Cham}, author = {Alla, Alessandro and Schmidt, Andreas and Haasdonk, Bernard}, booktitle = {Model Reduction of Parametrized Systems}, doi = {10.1007/978-3-319-58786-8_21}, editor = {Benner, Peter and Ohlberger, Mario and Patera, Anthony and Rozza, Gianluigi and Urban, Karsten}, isbn = {978-3-319-58786-8}, owner = {schmidta}, pages = {333--347}, publisher = {Springer International Publishing}, title = {Model Order Reduction Approaches for Infinite Horizon Optimal Control Problems via the HJB Equation}, url = {https://doi.org/10.1007/978-3-319-58786-8_21}, year = 2017 }
7. Barth, A., & Fuchs, F. G. (2017). Uncertainty quantification for linear hyperbolic equations with stochastic process or random field coefficients. APPLIED NUMERICAL MATHEMATICS, 121, 38–51. https://doi.org/10.1016/j.apnum.2017.06.009
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  BibTeX
  @article{barth2017uncertainty, affiliation = {Barth, A (Reprint Author), Univ Stuttgart, SimTech, Pfaffenwaldring 5a, D-70569 Stuttgart, Germany. Barth, Andrea, Univ Stuttgart, SimTech, Pfaffenwaldring 5a, D-70569 Stuttgart, Germany. Fuchs, Franz G., Sintef ICT, Forskningsveien 1, N-0314 Oslo, Norway.}, author = {Barth, Andrea and Fuchs, Franz G.}, da = {2018-01-12}, doi = {10.1016/j.apnum.2017.06.009}, eissn = {1873-5460}, issn = {0168-9274}, journal = {APPLIED NUMERICAL MATHEMATICS}, language = {English}, month = {11}, pages = {38-51}, publisher = {ELSEVIER SCIENCE BV}, research-areas = {Mathematics}, title = {Uncertainty quantification for linear hyperbolic equations with stochastic process or random field coefficients}, type = {Article}, unique-id = {ISI:000410013800003}, volume = 121, year = 2017 }
8. Barth, A., Harrach, B., Hyvoenen, N., & Mustonen, L. (2017). Detecting stochastic inclusions in electrical impedance tomography. INVERSE PROBLEMS, 33(11), Article 11. https://doi.org/10.1088/1361-6420/aa8f5c
  - BibTeX
  BibTeX
  @article{barth2017detecting, affiliation = {Hyvonen, N (Reprint Author), Aalto Univ, Dept Math \& Syst Anal, POB 11100, FI-00076 Aalto, Finland. Barth, Andrea, Univ Stuttgart, Dept Math, Stuttgart, Germany. Harrach, Bastian, Goethe Univ Frankfurt, Inst Math, Frankfurt, Germany. Hyvoenen, Nuutti; Mustonen, Lauri, Aalto Univ, Dept Math \& Syst Anal, POB 11100, FI-00076 Aalto, Finland.}, article-number = {115012}, author = {Barth, Andrea and Harrach, Bastian and Hyvoenen, Nuutti and Mustonen, Lauri}, da = {2018-01-12}, doi = {10.1088/1361-6420/aa8f5c}, eissn = {1361-6420}, issn = {0266-5611}, journal = {INVERSE PROBLEMS}, language = {English}, month = {11}, number = 11, orcid-numbers = {Hyvonen, Nuutti/0000-0001-6715-8337}, publisher = {IOP PUBLISHING LTD}, research-areas = {Mathematics; Physics}, researcherid-numbers = {Hyvonen, Nuutti/G-2253-2013}, title = {Detecting stochastic inclusions in electrical impedance tomography}, type = {Article}, unique-id = {ISI:000414077900001}, volume = 33, year = 2017 }
9. Barth, A., & Stein, A. (2017). A study of elliptic partial differential equations with jump diffusion coefficients.
  - BibTeX
  BibTeX
  @unpublished{barth2017study, author = {Barth, Andrea and Stein, Andreas}, note = {submitted to SIAM UQ}, owner = {seusdd}, title = {A study of elliptic partial differential equations with jump diffusion coefficients}, year = 2017 }
10. Barth, A., Harrach, B., Hyvönen, N., & Mustonen, L. (2017). Detecting stochastic inclusions in electrical impedance tomography. Inv. Prob., 33(11), 115012. http://arxiv.org/abs/1706.03962
  - BibTeX
  BibTeX
  @article{barth2017detecting, author = {Barth, Andrea and Harrach, Bastian and Hyv\"onen, Nuutti and Mustonen, Lauri}, fjournal = {Inverse Problems}, journal = {Inv. Prob.}, number = 11, owner = {seusdd}, pages = 115012, title = {Detecting stochastic inclusions in electrical impedance tomography}, url = {http://arxiv.org/abs/1706.03962}, volume = 33, year = 2017 }
11. Baur, U., Benner, P., Haasdonk, B., Himpe, C., Maier, I., & Ohlberger, M. (2017). Comparison of methods for parametric model order reduction of instationary problems. In P. Benner, A. Cohen, M. Ohlberger, & K. Willcox (Hrsg.), Model Reduction and Approximation: Theory and Algorithms. SIAM Philadelphia. https://www2.mpi-magdeburg.mpg.de/preprints/2015/MPIMD15-01.pdf
  - BibTeX
  BibTeX
  @incollection{BBHHMO2017, author = {Baur, U. and Benner, P. and Haasdonk, Bernard and Himpe, C. and Maier, I. and Ohlberger, M.}, booktitle = {Model Reduction and Approximation: Theory and Algorithms}, editor = {Benner, P. and Cohen, A. and Ohlberger, M. and Willcox, K.}, groups = {haasdonk, maieril, haasdonk_all_papers}, owner = {haasdonk}, publisher = {SIAM Philadelphia}, title = {Comparison of methods for parametric model order reduction of instationary problems}, url = {https://www2.mpi-magdeburg.mpg.de/preprints/2015/MPIMD15-01.pdf}, year = 2017 }
12. Bhatt, A., & VanGorder, R. (2017). Chaos in a non-autonomous nonlinear system describing asymmetric water wheels.
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  BibTeX
  @unpublished{bhatt2017chaos, author = {Bhatt, A. and VanGorder, R.}, file = {:http\://www.mathematik.uni-stuttgart.de/fak8/ians/publications/files/Bhatt2017_www.pdf:PDF}, note = {Submitted}, owner = {bhattah}, title = {Chaos in a non-autonomous nonlinear system describing asymmetric water wheels}, year = 2017 }
13. Brehler, M., Schirwon, M., Göddeke, D., & Krummrich, P. M. (2017). A GPU-Accelerated Fourth-Order Runge-Kutta in the Interaction Picture Method for the Simulation of Nonlinear Signal Propagation in Multimode Fibers. Journal of Lightwave Technology, 35(17), 3622–3628. https://doi.org/10.1109/JLT.2017.2715358
  - BibTeX
  BibTeX
  @article{brehler2017gpuaccelerated, affiliation = {Brehler, M (Reprint Author), Tech Univ Dortmund, D-44227 Dortmund, Germany. Brehler, Marius; Krummrich, Peter M., Tech Univ Dortmund, D-44227 Dortmund, Germany. Schirwon, Malte; Goeddeke, Dominik, Univ Stuttgart, Inst Appl Anal \& Numer Simulat, D-70569 Stuttgart, Germany.}, author = {Brehler, Marius and Schirwon, Malte and Göddeke, Dominik and Krummrich, Peter M.}, da = {2018-01-29}, doi = {10.1109/JLT.2017.2715358}, eissn = {1558-2213}, issn = {0733-8724}, journal = {Journal of Lightwave Technology}, language = {English}, month = {09}, number = 17, pages = {3622-3628}, publisher = {IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC}, research-areas = {Engineering; Optics; Telecommunications}, title = {A GPU-Accelerated Fourth-Order Runge-Kutta in the Interaction Picture Method for the Simulation of Nonlinear Signal Propagation in Multimode Fibers}, type = {Article}, unique-id = {ISI:000406290200002}, volume = 35, year = 2017 }
14. Brünnette, T., Santin, G., & Haasdonk, B. (2017). Greedy kernel methods for accelerating implicit integrators for parametric ODEs. University of Stuttgart. http://www.simtech.uni-stuttgart.de/publikationen/prints.php?ID=1767
  - BibTeX
  BibTeX
  @techreport{Bruennette_Enumath2017, abstract = {We present a novel acceleration method for the solution of parametric ODEs by single-step implicit solvers by means of greedy kernel-based surrogate models. In an offline phase, a set of trajectories is precomputed with a high-accuracy ODE solver for a selected set of parameter samples, and used to train a kernel model which predicts the next point in the trajectory as a function of the last one. This model is cheap to evaluate, and it is used in an online phase for new parameter samples to provide a good initialization point for the nonlinear solver of the implicit integrator. The accuracy of the surrogate reflects into a reduction of the number of iterations until convergence of the solver, thus providing an overall speedup of the full simulation. Interestingly, in addition to providing an acceleration, the accuracy of the solution is maintained, since the ODE solver is still used to guarantee the required precision. Although the method can be applied to a large variety of solvers and different ODEs, we will present in details its use with the Implicit Euler method for the solution of the Burgers equation, which results to be a meaningful test case to demonstrate the method's features.}, author = {Br{\"u}nnette, Tim and Santin, Gabriele and Haasdonk, Bernard}, groups = {santin}, institution = {University of Stuttgart}, owner = {santinge}, title = {Greedy kernel methods for accelerating implicit integrators for parametric ODEs}, url = {http://www.simtech.uni-stuttgart.de/publikationen/prints.php?ID=1767}, year = 2017 }
15. Bürger, R., & Kröker, I. (2017). Hybrid Stochastic Galerkin Finite Volumes for the Diffusively Corrected Lighthill-Whitham-Richards Traffic Model. In C. Cancès & P. Omnes (Hrsg.), Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems: FVCA 8, Lille, France, June 2017 (S. 189--197). Springer International Publishing. https://doi.org/10.1007/978-3-319-57394-6_21
  - BibTeX
  BibTeX
  @inbook{burger2017hybrid, address = {Cham}, author = {B{\"u}rger, Raimund and Kr{\"o}ker, Ilja}, booktitle = {Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems: FVCA 8, Lille, France, June 2017}, doi = {10.1007/978-3-319-57394-6_21}, editor = {Canc{\`e}s, Cl{\'e}ment and Omnes, Pascal}, isbn = {978-3-319-57394-6}, owner = {seusdd}, pages = {189--197}, publisher = {Springer International Publishing}, title = {Hybrid Stochastic Galerkin Finite Volumes for the Diffusively Corrected Lighthill-Whitham-Richards Traffic Model}, url = {http://dx.doi.org/10.1007/978-3-319-57394-6_21}, year = 2017 }
16. Cavoretto, R., De Marchi, S., De Rossi, A., Perracchione, E., & Santin, G. (2017). Partition of unity interpolation using stable kernel-based techniques. APPLIED NUMERICAL MATHEMATICS, 116(SI), 95–107. https://doi.org/10.1016/j.apnum.2016.07.005
  - BibTeX
  BibTeX
  @article{cavoretto2017partition, affiliation = {Cavoretto, R (Reprint Author), Univ Turin, Dept Math G Peano, Via Carlo Alberto 10, I-10123 Turin, Italy. Cavoretto, R.; De Rossi, A.; Perracchione, E., Univ Turin, Dept Math G Peano, Via Carlo Alberto 10, I-10123 Turin, Italy. De Marchi, S., Univ Padua, Dept Math, Via Trieste 63, I-35121 Padua, Italy. Santin, G., Univ Stuttgart, Inst Appl Anal \& Numer Simulat, Pfaffenwaldring 57, D-70569 Stuttgart, Germany.}, author = {Cavoretto, R. and De Marchi, S. and De Rossi, A. and Perracchione, E. and Santin, Gabriele}, da = {2018-01-29}, doi = {10.1016/j.apnum.2016.07.005}, eissn = {1873-5460}, issn = {0168-9274}, journal = {APPLIED NUMERICAL MATHEMATICS}, language = {English}, month = {06}, note = {Numerical Analysis Conference on New Trends in Numerical Analysis - Theory, Methods, Algorithms and Applications (NETNA) dedicated F A Costabile on his 70th Birthday, Falerna, ITALY, JUN 18-20, 2015}, number = {SI}, orcid-numbers = {Santin, Gabriele/0000-0001-6959-1070 De Marchi, Stefano/0000-0002-2832-8476 Perracchione, Emma/0000-0003-2663-7803 Cavoretto, Roberto/0000-0001-6076-4115}, pages = {95-107}, publisher = {ELSEVIER SCIENCE BV}, research-areas = {Mathematics}, researcherid-numbers = {Santin, Gabriele/U-8464-2017}, title = {Partition of unity interpolation using stable kernel-based techniques}, type = {Article; Proceedings Paper}, unique-id = {ISI:000399857800010}, volume = 116, year = 2017 }
17. Chalons, C., Rohde, C., & Wiebe, M. (2017). A finite volume method for undercompressive shock waves in two space dimensions. ESAIM Math. Model. Numer. Anal., 51(5), 1987–2015. https://doi.org/10.1051/m2an/2017027
  - BibTeX
  BibTeX
  @article{chalons2017finite, author = {Chalons, Christophe and Rohde, Christian and Wiebe, Maria}, doi = {https://doi.org/10.1051/m2an/2017027}, journal = {ESAIM Math. Model. Numer. Anal.}, month = {09}, number = 5, owner = {seusdd}, pages = {1987-2015}, title = {A finite volume method for undercompressive shock waves in two space dimensions}, url = {https://www.esaim-m2an.org/component/article?access=doi&doi=10.1051/m2an/2017027}, volume = 51, year = 2017 }
18. Chertock, A., Degond, P., & Neusser, J. (2017). An asymptotic-preserving method for a relaxation of the Navier-Stokes-Korteweg equations. JOURNAL OF COMPUTATIONAL PHYSICS, 335, 387–403. https://doi.org/10.1016/j.jcp.2017.01.030
  - BibTeX
  BibTeX
  @article{chertock2017asymptoticpreserving, affiliation = {Degond, P (Reprint Author), Imperial Coll London, Dept Math, London SW7 2AZ, England. Chertock, Alina, North Carolina State Univ, Dept Math, Raleigh, NC 27695 USA. Degond, Pierre, Imperial Coll London, Dept Math, London SW7 2AZ, England. Neusser, Jochen, Univ Stuttgart, Inst Angew Anal \& Numer Simulat, Pfaffenwaldring 57, D-70569 Stuttgart, Germany.}, author = {Chertock, Alina and Degond, Pierre and Neusser, Jochen}, da = {2018-01-29}, doi = {10.1016/j.jcp.2017.01.030}, eissn = {1090-2716}, issn = {0021-9991}, journal = {JOURNAL OF COMPUTATIONAL PHYSICS}, language = {English}, month = {04}, oa = {gold}, orcid-numbers = {Degond, Pierre/0000-0002-4886-6968}, pages = {387-403}, publisher = {ACADEMIC PRESS INC ELSEVIER SCIENCE}, research-areas = {Computer Science; Physics}, researcherid-numbers = {Degond, Pierre/H-4891-2015}, title = {An asymptotic-preserving method for a relaxation of the Navier-Stokes-Korteweg equations}, type = {Article}, unique-id = {ISI:000397072800015}, volume = 335, year = 2017 }
19. De Marchi, S., Iske, A., & Santin, G. (2017). Image Reconstruction from Scattered Radon Data by Weighted Positive Definite Kernel Functions.
  - BibTeX
  BibTeX
  @techreport{demarchi2017image, author = {De Marchi, Stefano and Iske, Armin and Santin, Gabriele}, file = {:http\://www.mathematik.uni-stuttgart.de/fak8/ians/publications/files/DeMarchi2017_www_kernel_radon_preprint.pdf:PDF}, owner = {santinge}, title = {Image Reconstruction from Scattered Radon Data by Weighted Positive Definite Kernel Functions}, year = 2017 }
20. De Marchi, S., Idda, A., & Santin, G. (2017). A Rescaled Method for RBF Approximation. In G. E. Fasshauer & L. L. Schumaker (Hrsg.), Approximation Theory XV: San Antonio 2016 (S. 39--59). Springer International Publishing. https://doi.org/10.1007/978-3-319-59912-0_3
  - BibTeX
  BibTeX
  @inbook{demarchi2017rescaled, abstract = {In the recent paper [1], a new method to compute stable kernel-based interpolants has been presented. This rescaled interpolation method combines the standard kernel interpolation with a properly defined rescaling operation, which smooths the oscillations of the interpolant. Although promising, this procedure lacks a systematic theoretical investigation. Through our analysis, this novel method can be understood as standard kernel interpolation by means of a properly rescaled kernel. This point of view allows us to consider its error and stability properties.}, address = {Cham}, author = {De Marchi, Stefano and Idda, Andrea and Santin, Gabriele}, booktitle = {Approximation Theory XV: San Antonio 2016}, doi = {10.1007/978-3-319-59912-0_3}, editor = {Fasshauer, Gregory E. and Schumaker, Larry L.}, isbn = {978-3-319-59912-0}, owner = {santinge}, pages = {39--59}, publisher = {Springer International Publishing}, title = {A Rescaled Method for {RBF} Approximation}, url = {https://doi.org/10.1007/978-3-319-59912-0_3}, year = 2017 }
21. Diaz Ramos, J. C., Dominguez Vazquez, M., & Kollross, A. (2017). Polar actions on complex hyperbolic spaces. Mathematische Zeitschrift, 287(3), 1183--1213. https://doi.org/10.1007/s00209-017-1864-5
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  @article{diazramos2017polar, abstract = {We classify polar actions on complex hyperbolic spaces up to orbit equivalence.}, author = {Diaz Ramos, Jose Carlos and Dominguez Vazquez, Miguel and Kollross, Andreas}, day = 01, doi = {10.1007/s00209-017-1864-5}, issn = {1432-1823}, journal = {Mathematische Zeitschrift}, month = {12}, number = 3, pages = {1183--1213}, title = {Polar actions on complex hyperbolic spaces}, url = {https://doi.org/10.1007/s00209-017-1864-5}, volume = 287, year = 2017 }
22. Dibak, C., Schmidt, A., Dürr, F., Haasdonk, B., & Rothermel, K. (2017). Server-assisted interactive mobile simulations for pervasive applications. 2017 IEEE International Conference on Pervasive Computing and Communications (PerCom), 111--120. https://doi.org/10.1109/PERCOM.2017.7917857
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23. Dombry, C., Engelke, S., & Oesting, M. (2017). Bayesian inference for multivariate extreme value distributions. Electron. J. Stat., 11(2), 4813--4844. https://doi.org/10.1214/17-EJS1367
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24. Farooq, M., & Steinwart, I. (2017). An SVM-like Approach for Expectile Regression. Comput. Statist. Data Anal., 109, 159--181. https://doi.org/10.1016/j.csda.2016.11.010
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25. Fechter, S., Munz, C.-D., Rohde, C., & Zeiler, C. (2017). A sharp interface method for compressible liquid-vapor flow with phase transition and surface tension. J. Comput. Phys., 336, 347–374. https://doi.org/10.1016/j.jcp.2017.02.001
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  @article{fechter2017sharp, affiliation = {Zeiler, C (Reprint Author), Univ Stuttgart, Inst Angew Anal \& Numer Simulat, Pfaffenwaldring 57, D-70569 Stuttgart, Germany. Fechter, Stefan; Munz, Claus-Dieter, Univ Stuttgart, Inst Aerodynam \& Gasdynam, Pfaffenwaldring 21, D-70569 Stuttgart, Germany. Rohde, Christian; Zeiler, Christoph, Univ Stuttgart, Inst Angew Anal \& Numer Simulat, Pfaffenwaldring 57, D-70569 Stuttgart, Germany.}, author = {Fechter, Stefan and Munz, Claus-Dieter and Rohde, Christian and Zeiler, Christoph}, da = {2018-02-09}, doi = {10.1016/j.jcp.2017.02.001}, eissn = {1090-2716}, issn = {0021-9991}, journal = {J. Comput. Phys.}, language = {English}, month = {05}, pages = {347-374}, publisher = {ACADEMIC PRESS INC ELSEVIER SCIENCE}, research-areas = {Computer Science; Physics}, title = {A sharp interface method for compressible liquid-vapor flow with phase transition and surface tension}, type = {Article}, unique-id = {ISI:000397362800018}, url = {https://doi.org/10.1016/j.jcp.2017.02.001}, volume = 336, year = 2017 }
26. Fehr, J., Grunert, D., Bhatt, A., & Hassdonk, B. (2017). A Sensitivity Study of Error Estimation in Reduced Elastic Multibody Systems. Proceedings of MATHMOD 2018, Vienna, Austria.
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27. Feistauer, M., Roskovec, F., & Sändig, A.-M. (2017). Discontinuous Galerkin Method for an Elliptic Problem with Nonlinear Boundary Conditions in a Polygon. IMA, 00, 1–31. https://doi.org/10.1093/imanum/drx070
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28. Feistauer, M., Bartos, O., Roskovec, F., & Sändig, A.-M. (2017). Analysis of the FEM and DGM for an elliptic problem with a nonlinear Newton boundary condition. Proceeding of the EQUADIFF 17, 127–136. http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/equadiff/
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  @article{feistauer2017analysis, author = {Feistauer, M. and Bartos, O. and Roskovec, F. and Sändig, A.-M.}, journal = {Proceeding of the EQUADIFF 17}, owner = {szur}, pages = {127-136}, title = {Analysis of the FEM and DGM for an elliptic problem with a nonlinear Newton boundary condition}, url = {http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/equadiff/}, year = 2017 }
29. Fetzer, M., & Scherer, C. W. (2017). Absolute stability analysis of discrete time feedback interconnections. IFAC-PapersOnLine, 1, Article 1. https://doi.org/10.1016/j.ifacol.2017.08.757
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30. Fetzer, M., & Scherer, C. W. (2017). Full‐block multipliers for repeated, slope‐restricted scalar nonlinearities. Int. J. Robust Nonlin., 27(17), 3376–3411. https://doi.org/10.1002/rnc.3751
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31. Fetzer, M., & Scherer, C. W. (2017). Zames-Falb Multipliers for Invariance. IEEE Control Systems Letters, 1(2), 412–417. https://doi.org/10.1109/LCSYS.2017.2718556
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32. Fetzer, M., Scherer, C. W., & Veenman, J. (2017). Invariance with dynamic multipliers. IEEE Trans. Autom. Control, 63(7), 1929–1942. https://doi.org/10.1109/TAC.2017.2762764
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33. Fetzer, M. (2017). From classical absolute stability tests towards a comprehensive robustness analysis [Dissertation, University of Stuttgart]. https://doi.org/10.18419/opus-9726
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  @phdthesis{fetzer2017classical, author = {Fetzer, Matthias}, doi = {10.18419/opus-9726}, eventdate = {2017-11-23}, location = {Stuttgart}, pagetotal = {xii, 273}, school = {University of Stuttgart}, supervisor = {Scherer, Carsten W.}, supervisorgnd = {1071341561}, title = {From classical absolute stability tests towards a comprehensive robustness analysis}, type = {Dissertation}, url = {http://dx.doi.org/10.18419/opus-9726}, year = 2017 }
34. Fukuizumi, R., Marzuola, J. L., Pelinovsky, D., & Schneider, G. (Hrsg.). (2017). Nonlinear partial differential equations on graphs. Abstracts from the workshop held June 18--24, 2017. Oberwolfach Rep., 14(2), 1805--1868.
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35. Funke, S., Mendel, T., Miller, A., Storandt, S., & Wiebe, M. (2017). Map Simplification with Topology Constraints: Exactly and in Practice. Proceedings of the Ninteenth Workshop on Algorithm Engineering and Experiments, ALENEX 2017, Barcelona, Spain, Hotel Porta Fira, January 17-18, 2017., 185--196. https://doi.org/10.1137/1.9781611974768.15
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  @inproceedings{funke2017simplification, author = {Funke, Stefan and Mendel, Thomas and Miller, Alexander and Storandt, Sabine and Wiebe, Maria}, bibsource = {dblp computer science bibliography, http://dblp.org}, booktitle = {Proceedings of the Ninteenth Workshop on Algorithm Engineering and Experiments, {ALENEX} 2017, Barcelona, Spain, Hotel Porta Fira, January 17-18, 2017.}, crossref = {DBLP:conf/alenex/2017}, doi = {10.1137/1.9781611974768.15}, owner = {seusdd}, pages = {185--196}, title = {Map Simplification with Topology Constraints: Exactly and in Practice}, url = {http://dx.doi.org/10.1137/1.9781611974768.15}, year = 2017 }
36. Gaspoz, F. D., Kreuzer, C., Siebert, K., & Ziegler, D. (2017). A convergent time-space adaptive $dG(s)$ finite element method for parabolic problems motivated by equal error distribution. In Submitted. https://arxiv.org/abs/1610.06814
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  @unpublished{gaspoz2017convergent, author = {Gaspoz, F. D. and Kreuzer, C. and Siebert, K. and Ziegler, D.}, journal = {Submitted}, owner = {langeras}, title = {A convergent time-space adaptive $dG(s)$ finite element method for parabolic problems motivated by equal error distribution}, url = {https://arxiv.org/abs/1610.06814}, year = 2017 }
37. Gaspoz, F. D., Morin, P., & Veeser, A. (2017). A posteriori error estimates with point sources in fractional sobolev spaces. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 33(4), 1018–1042. https://doi.org/10.1002/num.22065
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  @article{gaspoz2017posteriori, affiliation = {Morin, P (Reprint Author), Univ Nacl Litoral, CONICET, Inst Matemat Aplicada Litoral, Santa Fe, Argentina. Morin, P (Reprint Author), Univ Nacl Litoral, Fac Ingn Quim, Santa Fe, Argentina. Gaspoz, F. D., Univ Stuttgart, Inst Angew Math \& Numer Simulat, Pfaffenwaldring 57, D-70569 Stuttgart, Germany. Morin, P., Univ Nacl Litoral, CONICET, Inst Matemat Aplicada Litoral, Santa Fe, Argentina. Morin, P., Univ Nacl Litoral, Fac Ingn Quim, Santa Fe, Argentina. Veeser, A., Univ Milan, Dipartimento Matemat, Via C Saldini 50, I-20133 Milan, Italy. Morin, P., IMAL Colectora Ruta Nac 168, RA-3000 Paraje El Pozo, Santa Fe, Argentina.}, author = {Gaspoz, Fernando D. and Morin, P. and Veeser, A.}, da = {2018-02-15}, doi = {10.1002/num.22065}, eissn = {1098-2426}, issn = {0749-159X}, journal = {NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS}, language = {English}, month = {07}, number = 4, pages = {1018-1042}, publisher = {WILEY}, research-areas = {Mathematics}, title = {A posteriori error estimates with point sources in fractional sobolev spaces}, type = {Article}, unique-id = {ISI:000400172500002}, volume = 33, year = 2017 }
38. Geck, M. (2017). On the construction of semisimple Lie algebras and Chevalley groups. Proceedings of the American Mathematical Society, 145(8), 3233--3247. https://doi.org/10.1090/proc/13600
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39. Geck, M., & Müller, J. (2017). Invariant bilinear forms on W-graph representations and linear algebra over integral domains. Algorithmic and experimental methods in algebra, geometry and number theory (eds. G. Böckle, W. Decker, G. Malle), 311–360. https://doi.org/10.1007/978-3-319-70566-8_13
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40. Geck, M. (2017). Minuscule weights and Chevalley groups. Finite Simple Groups: Thirty Years of the Atlas and Beyond (Celebrating the Atlases and Honoring John Conway, November 2-5, 2015 at Princeton University), 694, 159--176. https://doi.org/10.1090/conm/694/13955
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41. Geck, M. (2017). James’ Submodule Theorem and the Steinberg Module. Symmetry, Integrability and Geometry: Methods and Applications, 13. https://doi.org/10.3842/sigma.2017.091
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42. Geck, M. (2017). On the modular composition factors of the Steinberg representation. Journal of Algebra, 475, 370--391. https://doi.org/10.1016/j.jalgebra.2015.11.005
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43. Giesselmann, J., & Pryer, T. (2017). Goal-oriented error analysis of a DG scheme for a second gradient elastodynamics model. In C. Cances & P. Omnes (Hrsg.), Finite Volumes for Complex Applications VIII-Methods and Theoretical Aspects (Bd. 199). http://www.springer.com/de/book/9783319573960
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44. Giesselmann, J., & Tzavaras, A. E. (2017). Stability properties of the Euler-Korteweg system with nonmonotone pressures. Appl. Anal., 96(9), 1528–1546. https://doi.org/10.1080/00036811.2016.1276175
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  @article{giesselmann2017stability, author = {Giesselmann, Jan and Tzavaras, Athanasios E.}, doi = {10.1080/00036811.2016.1276175}, journal = {Appl. Anal.}, number = 9, owner = {szur}, pages = {1528-1546}, title = {Stability properties of the Euler-Korteweg system with nonmonotone pressures}, url = {http://www.tandfonline.com/doi/full/10.1080/00036811.2016.1276175}, volume = 96, year = 2017 }
45. Giesselmann, J., & Pryer, T. (2017). A posteriori analysis for dynamic model adaptation in convection-dominated problems. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 27(13), 2381–2423. https://doi.org/10.1142/S0218202517500476
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46. Giesselmann, J., Lattanzio, C., & Tzavaras, A. E. (2017). Relative Energy for the Korteweg Theory and Related Hamiltonian Flows in Gas Dynamics. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 223(3), 1427–1484. https://doi.org/10.1007/s00205-016-1063-2
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  @article{giesselmann2017relative, affiliation = {Giesselmann, J (Reprint Author), Univ Stuttgart, Inst Appl Anal \& Numer Simulat, Pfaffenwaldring 57, D-70563 Stuttgart, Germany. Giesselmann, Jan, Univ Stuttgart, Inst Appl Anal \& Numer Simulat, Pfaffenwaldring 57, D-70563 Stuttgart, Germany. Lattanzio, Corrado, Univ Aquila, Dipartimento Ingn \& Sci Informaz \& Matemat, Via Vetoio, I-67010 Laquila, AQ, Italy. Tzavaras, Athanasios E., King Abdullah Univ Sci \& Technol, Comp Elect Math Sci \& Engn Div, Thuwal, Saudi Arabia. Tzavaras, Athanasios E., Fdn Res \& Technol, Inst Appl \& Computat Math, Iraklion 70013, Crete, Greece.}, author = {Giesselmann, Jan and Lattanzio, Corrado and Tzavaras, Athanasios E.}, da = {2018-02-15}, doi = {10.1007/s00205-016-1063-2}, eissn = {1432-0673}, esi-highly-cited-paper = {Y}, esi-hot-paper = {N}, issn = {0003-9527}, journal = {ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS}, language = {English}, month = {03}, number = 3, orcid-numbers = {LATTANZIO, Corrado/0000-0001-8060-7918 Tzavaras, Athanasios/0000-0002-1896-2270}, pages = {1427-1484}, publisher = {SPRINGER}, research-areas = {Mathematics; Mechanics}, title = {Relative Energy for the Korteweg Theory and Related Hamiltonian Flows in Gas Dynamics}, type = {Article}, unique-id = {ISI:000393598200011}, volume = 223, year = 2017 }
47. Griesemer, M., Schmid, J., & Schneider, G. (2017). On the dynamics of the mean-field polaron in the high-frequency limit. Lett. Math. Phys., 107(10), 1809--1821. https://doi.org/10.1007/s11005-017-0969-4
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  @article{MR3690033, author = {Griesemer, Marcel and Schmid, Jochen and Schneider, Guido}, doi = {10.1007/s11005-017-0969-4}, fjournal = {Letters in Mathematical Physics}, issn = {0377-9017}, journal = {Lett. Math. Phys.}, mrclass = {35Q55 (35B25 81V99)}, mrnumber = {3690033}, number = 10, pages = {1809--1821}, title = {On the dynamics of the mean-field polaron in the high-frequency limit}, url = {https://doi.org/10.1007/s11005-017-0969-4}, volume = 107, year = 2017 }
48. Griesemer, M. (2017). On the dynamics of polarons in the strong-coupling limit. Rev. Math. Phys., 29(10), 1750030, 21. https://doi.org/10.1142/S0129055X17500301
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  @article{MR3720510, author = {Griesemer, Marcel}, doi = {10.1142/S0129055X17500301}, fjournal = {Reviews in Mathematical Physics. A Journal for Both Review and Original Research Papers in the Field of Mathematical Physics}, issn = {0129-055X}, journal = {Rev. Math. Phys.}, mrclass = {81V99 (35Q55)}, mrnumber = {3720510}, number = 10, pages = {1750030, 21}, title = {On the dynamics of polarons in the strong-coupling limit}, url = {https://doi.org/10.1142/S0129055X17500301}, volume = 29, year = 2017 }
49. Gutt, R., Kohr, M., Mikhailov, S., & Wendland, W. L. (2017). On the mixed problem for the semilinear Darcy-Forchheimer-Brinkman systems in Besov spaces on creased Lipschitz domains. Math. Meth. Appl. Sci., 18, 7780–7829. https://doi.org/10.1002/mma.4562
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50. Gutt, R., Kohr, M., Mikhailov, S. E., & Wendland, W. L. (2017). On the mixed problem for the semilinear Darcy-Forchheimer-Brinkman PDE system in Besov spaces on creased Lipschitz domains. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 40(18), 7780–7829. https://doi.org/10.1002/mma.4562
  - BibTeX
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  @article{gutt2017mixed, affiliation = {Kohr, M (Reprint Author), Babes Bolyai Univ, Fac Math \& Comp Sci, 1 M Kogalniceanu Str, Cluj Napoca 400084, Romania. Gutt, Robert; Kohr, Mirela, Babes Bolyai Univ, Fac Math \& Comp Sci, 1 M Kogalniceanu Str, Cluj Napoca 400084, Romania. Mikhailov, Sergey E., Brunel Univ London, Dept Math, Uxbridge UB8 3PH, Middx, England. Wendland, Wolfgang L., Univ Stuttgart, Inst Angew Anal \& Numer Simulat, Pfaffenwaldring 57, D-70569 Stuttgart, Germany.}, author = {Gutt, Robert and Kohr, Mirela and Mikhailov, Sergey E. and Wendland, Wolfgang L.}, da = {2018-04-12}, doi = {10.1002/mma.4562}, eissn = {1099-1476}, issn = {0170-4214}, journal = {MATHEMATICAL METHODS IN THE APPLIED SCIENCES}, language = {English}, month = {12}, number = 18, orcid-numbers = {Mikhailov, Sergey E./0000-0002-3268-9290}, pages = {7780-7829}, publisher = {WILEY}, research-areas = {Mathematics}, title = {On the mixed problem for the semilinear Darcy-Forchheimer-Brinkman PDE system in Besov spaces on creased Lipschitz domains}, type = {Article}, unique-id = {ISI:000419218900102}, volume = 40, year = 2017 }
51. Haasdonk, B. (2017). Reduced Basis Methods for Parametrized PDEs -- A Tutorial Introduction for Stationary and Instationary Problems. In P. Benner, A. Cohen, M. Ohlberger, & K. Willcox (Hrsg.), Model Reduction and Approximation: Theory and Algorithms (S. 65--136). SIAM, Philadelphia. http://www.simtech.uni-stuttgart.de/publikationen/prints.php?ID=938
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  BibTeX
  @incollection{Haasdonk2017, author = {Haasdonk, Bernard}, booktitle = {Model Reduction and Approximation: Theory and Algorithms}, editor = {Benner, P. and Cohen, A. and Ohlberger, M. and Willcox, K.}, file = {:PDF/Haasdonk2014a_www_preprint_RBtutorial_with_update2016.pdf:PDF}, groups = {anm, haasdonk}, owner = {haasdonk}, pages = {65--136}, publisher = {SIAM, Philadelphia}, title = {Reduced Basis Methods for Parametrized {PDE}s -- A Tutorial Introduction for Stationary and Instationary Problems}, url = {http://www.simtech.uni-stuttgart.de/publikationen/prints.php?ID=938}, year = 2017 }
52. Hahn, B. N. (2017). A motion artefact study and locally deforming objects in computerized tomography. Inverse Problems, 33(11), 114001. https://doi.org/10.1088/1361-6420/aa8d7b
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  @article{hahn2017motion, abstract = {Movements of the object during the data collection in computerized tomography can introduce motion artefacts in the reconstructed image. They can be reduced by employing information about the dynamic behaviour within the reconstruction step. However, inaccuracies concerning the movement are inevitable in practice. In this article, we give an explicit characterization of what is visible in an image obtained by a reconstruction algorithm with incorrect motion information. Then, we use this result to study in detail the situation of locally deforming objects, i.e. individual parts of the object have a different dynamic behaviour. In this context, we prove that additional artefacts arise due to the global nature of the Radon transform, even if the motion is exactly known. Based on our analysis, we propose a numerical scheme to reduce these artefacts in the reconstructed image. All our results are illustrated by numerical examples.}, author = {Hahn, B. N.}, doi = {10.1088/1361-6420/aa8d7b}, journal = {Inverse Problems}, number = 11, pages = 114001, title = {A motion artefact study and locally deforming objects in computerized tomography}, url = {https://doi.org/10.1088/1361-6420/aa8d7b}, volume = 33, year = 2017 }
53. Hahn, B. N. (2017). Motion Estimation and Compensation Strategies in Dynamic Computerized Tomography. Sensing and Imaging, 18(10), 1–20. https://doi.org/10.1007/s11220-017-0159-6
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  BibTeX
  @article{hahn2017motion, abstract = {A main challenge in computerized tomography consists in imaging moving objects. Temporal changes during the measuring process lead to inconsistent data sets, and applying standard reconstruction techniques causes motion artefacts which can severely impose a reliable diagnostics. Therefore, novel reconstruction techniques are required which compensate for the dynamic behavior. This article builds on recent results from a microlocal analysis of the dynamic setting, which enable us to formulate efficient analytic motion compensation algorithms for contour extraction. Since these methods require information about the dynamic behavior, we further introduce a motion estimation approach which determines parameters of affine and certain non-affine deformations directly from measured motion-corrupted Radon-data. Our methods are illustrated with numerical examples for both types of motion.}, author = {Hahn, B. N.}, doi = {10.1007/s11220-017-0159-6}, journal = {Sensing and Imaging}, number = 10, pages = {1-20}, title = {Motion Estimation and Compensation Strategies in Dynamic Computerized Tomography}, url = {https://doi.org/10.1007/s11220-017-0159-6}, volume = 18, year = 2017 }
54. Hang, H., & Steinwart, I. (2017). A Bernstein-type Inequality for Some Mixing Processes and Dynamical Systems with an Application to Learning. Ann. Statist., 45, 708--743. https://doi.org/10.1214/16-AOS1465
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  @article{HaSt17a, author = {Hang, H. and Steinwart, I.}, doi = {10.1214/16-AOS1465}, journal = {Ann. Statist.}, note = {\url{http://arxiv.org/pdf/1501.03059v1.pdf}}, pages = {708--743}, title = {A {B}ernstein-type Inequality for Some Mixing Processes and Dynamical Systems with an Application to Learning}, volume = 45, year = 2017 }
55. Harbrecht, H., Wendland, W. L., & Zorii, N. (2017). Riesz energy problems for strongly singular kernels. Math. Nachr. https://doi.org/10.1002/mana.201600024
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  @article{harbrecht2017riesz, author = {Harbrecht, H. and Wendland, W. L. and Zorii, N.}, doi = {10.1002/mana.201600024}, journal = {Math. Nachr.}, owner = {szur}, title = {Riesz energy problems for strongly singular kernels}, url = {http://onlinelibrary.wiley.com/doi/10.1002/mana.201600024/full}, year = 2017 }
56. Heil, K., Moroianu, A., & Semmelmann, U. (2017). Killing tensors on tori. J. Geom. Phys., 117, 1--6. https://doi.org/10.1016/j.geomphys.2017.02.010
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  BibTeX
  @article{MR3645827, author = {Heil, Konstantin and Moroianu, Andrei and Semmelmann, Uwe}, doi = {10.1016/j.geomphys.2017.02.010}, fjournal = {Journal of Geometry and Physics}, issn = {0393-0440}, journal = {J. Geom. Phys.}, mrclass = {53D25 (53C15 53C27 53C40)}, mrnumber = {3645827}, mrreviewer = {Vyacheslav S. Kalnitsky}, pages = {1--6}, title = {Killing tensors on tori}, url = {https://doi.org/10.1016/j.geomphys.2017.02.010}, volume = 117, year = 2017 }
57. Hintermüller, M., Rautenberg, C. N., Wu, T., & Langer, A. (2017). Optimal Selection of the Regularization Function in a Weighted Total Variation Model. Part II: Algorithm, Its Analysis and Numerical Tests. Journal of Mathematical Imaging and Vision, 1--19. https://link.springer.com/article/10.1007/s10851-017-0736-2
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  @article{hintermuller2017optimal, author = {Hinterm{\"u}ller, Michael and Rautenberg, Carlos N and Wu, Tao and Langer, Andreas}, journal = {Journal of Mathematical Imaging and Vision}, pages = {1--19}, publisher = {Springer}, title = {Optimal Selection of the Regularization Function in a Weighted Total Variation Model. Part II: Algorithm, Its Analysis and Numerical Tests}, url = {https://link.springer.com/article/10.1007/s10851-017-0736-2}, year = 2017 }
58. Hintermüller, M., Langer, A., Rautenberg, C. N., & Wu, T. (2017). Adaptive regularization for reconstruction from subsampled data. WIAS Preprint No. 2379. http://www.wias-berlin.de/preprint/2379/wias_preprints_2379.pdf
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  @misc{hintermuller2017adaptive, author = {Hinterm{\"u}ller, Michael and Langer, Andreas and Rautenberg, Carlos N and Wu, Tao}, publisher = {WIAS Preprint No. 2379}, title = {Adaptive regularization for reconstruction from subsampled data}, url = {http://www.wias-berlin.de/preprint/2379/wias_preprints_2379.pdf}, year = 2017 }
59. Hänel, A., & Weidl, T. (2017). Spectral asymptotics for the Dirichlet Laplacian with a Neumann window via a Birman-Schwinger analysis of the Dirichlet-to-Neumann operator. Functional Analysis and Operator Theory for Quantum Physics, EMS Series of Congress Reports, J. Dittrich, et al. (Eds.), 315–352.
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  @article{hanel2017spectral, abstract = {"In the present article we will give a new proof of the ground state asymptotics of the Dirichlet Laplacian with a Neumann window acting on functions which are defined on a two-dimensional infinite strip or a three-dimensional infinite layer. The proof is based on the analysis of the corresponding Dirichlet-to-Neumann operator as a first order classical pseudo-differential operator. Using the explicit representation of its symbol we prove an asymptotic expansion as the window length decreases."}, author = {Hänel, André and Weidl, Timo}, journal = {Functional Analysis and Operator Theory for Quantum Physics, EMS Series of Congress Reports, J. Dittrich, et al. (eds.)}, language = {English}, pages = {315 - 352}, title = {Spectral asymptotics for the Dirichlet Laplacian with a Neumann window via a Birman-Schwinger analysis of the Dirichlet-to-Neumann operator.}, year = 2017 }
60. Höllig, K. V., & Hörner, J. V. (Hrsg.). (2017). Aufgaben und Lösungen zur höheren Mathematik (S. xi, 533 Seiten) [Aufgabensammlung]. Springer Spektrum. http://deposit.d-nb.de/cgi-bin/dokserv?id=86f385b1e03e40a0a23a214a0c3c5f72&#38;prov=M&#38;dok_var=1&#38;dok_ext=htm
  - BibTeX
  BibTeX
  @book{noauthor2017Aufgabenund, abstract = {Verl.Beschr.: Dieses Buch bietet Ihnen eine Übersicht aller fundamentalen Problemstellungen in Übungs- und Klausuraufgaben der Mathematikgrundvorlesungen für Ingenieure, Natur- und Wirtschaftswissenschaftler. Es enthält eine Auswahl von mehr als 400 typischen Aufgaben, gegliedert in 50 Themengebiete, mit detaillierten Lösungsskizzen und Beschreibungen der relevanten mathematischen Methoden. Zusätzliche Beispiele und Erläuterungen finden Sie in einer auf das Buch abstimmten internetbasierten Sammlung von Lehrmaterialien, die auch von Dozenten in ihren Vorlesungen verwendet werden kann}, address = {Berlin; [Heidelberg]}, editor = {Höllig, Klaus [Verfasser/in] and Hörner, Jörg [Verfasser/in]}, isbn = {3662543117}, language = {Deutsch}, note = {Literaturverzeichnis: Seite 531-533}, pages = {xi, 533 Seiten}, publisher = {Springer Spektrum}, title = {Aufgaben und Lösungen zur höheren Mathematik}, type = {Aufgabensammlung}, url = {http://deposit.d-nb.de/cgi-bin/dokserv?id=86f385b1e03e40a0a23a214a0c3c5f72&#38;prov=M&#38;dok_var=1&#38;dok_ext=htm}, year = 2017 }
61. Kane, B., Klöfkorn, R., & Gersbacher, C. (2017). hp--Adaptive Discontinuous Galerkin Methods for Porous Media Flow. International Conference on Finite Volumes for Complex Applications, 447--456.
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  @inproceedings{kane2017hpadaptive, author = {Kane, Birane and Kl{\"o}fkorn, Robert and Gersbacher, Christoph}, booktitle = {International Conference on Finite Volumes for Complex Applications}, organization = {Springer}, pages = {447--456}, title = {hp--Adaptive Discontinuous Galerkin Methods for Porous Media Flow}, year = 2017 }
62. Kane, B. (2017). Using DUNE-FEM for Adaptive Higher Order Discontinuous Galerkin Methods for Two-phase Flow in Porous Media. Archive of Numerical Software, 5(1), 129--149.
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  @article{kane2017using, author = {Kane, Birane}, journal = {Archive of Numerical Software}, number = 1, pages = {129--149}, title = {Using {DUNE-FEM} for Adaptive Higher Order Discontinuous Galerkin Methods for Two-phase Flow in Porous Media}, volume = 5, year = 2017 }
63. Kohr, M., Medkova, D., & Wendland, W. L. (2017). On the Oseen-Brinkman flow around an (m-1)-dimensional obstacle. Monatshefte für Mathematik, 483, 269–302. https://doi.org/MOFM-D16-00078
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  @article{kohr2017oseenbrinkman, author = {Kohr, M. and Medkova, D. and Wendland, Wolfgang L.}, doi = {MOFM-D16-00078}, journal = {Monatshefte für Mathematik}, owner = {ingrid}, pages = {269-302}, title = {On the Oseen-Brinkman flow around an (m-1)-dimensional obstacle}, volume = 483, year = 2017 }
64. Kohr, M., Mikhailov, S., & Wendland, W. L. (2017). Transmission problems for the Navier-Stokes and Darcy-Forchheimer-Brinkman systems in Lipschitz domains on compact Riemannian mani. J of Mathematical Fluid Mechanics, 19, 203–238.
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  BibTeX
  @article{kohr2017transmission, author = {Kohr, M. and Mikhailov, S. and Wendland, W. L.}, journal = {J of Mathematical Fluid Mechanics}, owner = {szur}, pages = {203-238}, title = {Transmission problems for the Navier-Stokes and Darcy-Forchheimer-Brinkman systems in Lipschitz domains on compact Riemannian mani}, volume = 19, year = 2017 }
65. Kollross, A. (2017). Hyperpolar actions on reducible symmetric spaces. Transformation Groups, 22(1), 207--228. https://doi.org/10.1007/s00031-016-9384-7
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  BibTeX
  @article{kollross2017hyperpolar, abstract = {We study hyperpolar actions on reducible symmetric spaces of the compact type. Our main result is that an indecomposable hyperpolar action on a symmetric space of the compact type is orbit equivalent to a Hermann action or of cohomogeneity one.}, author = {Kollross, Andreas}, day = 01, doi = {10.1007/s00031-016-9384-7}, issn = {1531-586X}, journal = {Transformation Groups}, month = {03}, number = 1, pages = {207--228}, title = {Hyperpolar actions on reducible symmetric spaces}, url = {https://doi.org/10.1007/s00031-016-9384-7}, volume = 22, year = 2017 }
66. Kovarik, H., Ruszkowski, B., & Weidl, T. (2017). Spectral estimates for the Heisenberg Laplacian on cylinders. Functional Analysis and Operator Theory for Quantum Physics, EMS Series of Congress Reports, J. Dittrich, et al. (eds.), 433–446.
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  @article{kovarik2017spectral, abstract = {"In this paper the authors consider the Heisenberg Laplacian in a domain Ω⊂ℝ3 with Dirichlet boundary conditions, formally given by A(Ω)=−X21−X22, where X1=∂x1+x22∂x3,X2=∂x2−x12∂x3. The main result of the paper is a uniform upper bound with remainder of the quantity Tr(A(Ω)−λ)−, that is, the sum of all eigenvalues of A(Ω) smaller than λ, counted according to their multiplicities. Previous and optimal results on the leading term were known from [A. M. Hansson and A. Laptev, in Groups and analysis, 100–115, London Math. Soc. Lecture Note Ser., 354, Cambridge Univ. Press, Cambridge, 2008; MR2528463], and improved estimates were obtained in [H. Kovařík and T. Weidl, Proc. Roy. Soc. Edinburgh Sect. A 145 (2015), no. 1, 145–160; MR3304579], where it was proved that for any bounded domain Ω⊂ℝ3 there exists a constant C(Ω)>0 such that Tr(A(Ω)−λ)−≤max{0,|Ω|96λ3−C(Ω)λ2}. In this paper, the authors improve the above estimate for cylindrical domains of the form Ω=ω×(a,b), where ω⊂ℝ2 is an open, simply connected, bounded set. Their main result (Theorem 2.3) is an estimate of the form Tr(A(Ω)−λ)−≤max{0,|Ω|96λ3−D(Ω)λ(2c+5)/(c+2)},(1) where c is the best Hardy constant for ω, and the constant D(Ω) depends explicitly on the cylindrical domain Ω. Notice that the correction term in (1) is of order larger than λ2. For cylinders Ω=ω×(a,b) with convex cross-section ω, the above estimate reads: Tr(A(Ω)−λ)−≤max{0,|Ω|96λ3−λ2+1/427⋅35/2|Ω|R(ω)3/2}, where R(ω) is the Euclidean in-radius of ω. The main techniques employed are the relation of A(Ω) with the magnetic Laplacian (with constant magnetic field) and Hardy inequalities."}, author = {Kovarik, Hynek and Ruszkowski, Bartosch and Weidl, Timo}, journal = {Functional Analysis and Operator Theory for Quantum Physics, EMS Series of Congress Reports, J. Dittrich, et al. (eds.)}, pages = {433-446}, title = {Spectral estimates for the Heisenberg Laplacian on cylinders.}, year = 2017 }
67. Kutter, M., Rohde, C., & Sändig, A.-M. (2017). Well-posedness of a two scale model for liquid phase epitaxy with elasticity. Contin. Mech. Thermodyn., 29(4), 989–1016. https://doi.org/10.1007/s00161-015-0462-1
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  @article{kutter2017wellposedness, author = {Kutter, Michael and Rohde, Christian and S\"andig, Anna-Margarete}, doi = {10.1007/s00161-015-0462-1}, issn = {0935-1175}, journal = {Contin. Mech. Thermodyn.}, number = 4, owner = {seusdd}, pages = {989-1016}, title = {Well-posedness of a two scale model for liquid phase epitaxy with elasticity}, url = {http://dx.doi.org/10.1007/s00161-015-0462-1}, volume = 29, year = 2017 }
68. Köppel, M., Franzelin, F., Kröker, I., Oladyshkin, S., Santin, G., Wittwar, D., Barth, A., Haasdonk, B., Nowak, W., Pflüger, D., & Rohde, C. (2017). Comparison of data-driven uncertainty quantification methods for a carbon dioxide storage benchmark scenario. University of Stuttgart. http://www.simtech.uni-stuttgart.de/publikationen/prints.php?ID=1759
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  @techreport{koeppel2017, abstract = {A variety of methods is available to quantify uncertainties arising within the modeling of flow and transport in carbon dioxide storage, but there is a lack of thorough comparisons. Usually, raw data from such storage sites can hardly be described by theoretical statistical distributions since only very limited data is available. Hence, exact information on distribution shapes for all uncertain parameters is very rare in realistic applications. We discuss and compare four different methods tested for data-driven uncertainty quantification based on a benchmark scenario of carbon dioxide storage. In the benchmark, for which we provide data and code, carbon dioxide is injected into a saline aquifer modeled by the nonlinear capillarity-free fractional flow formulation for two incompressible fluid phases, namely carbon dioxide and brine. To cover different aspects of uncertainty quantification, we incorporate various sources of uncertainty such as uncertainty of boundary conditions, of conceptual model definitions and of material properties. We consider recent versions of the following non-intrusive and intrusive uncertainty quantification methods: arbitary polynomial chaos, spatially adaptive sparse grids, kernel-based greedy interpolation and hybrid stochastic Galerkin. The performance of each approach is demonstrated assessing expectation value and standard deviation of the carbon dioxide saturation against a reference statistic based on Monte Carlo sampling. We compare the convergence of all methods reporting on accuracy with respect to the number of model runs and resolution. Finally we offer suggestions about the methodsâ€™ advantages and disadvantages that can guide the modeler for uncertainty quantification in carbon dioxide storage and beyond.}, author = {K{\"o}ppel, M. and Franzelin, F. and Kr{\"o}ker, I. and Oladyshkin, S. and Santin, G. and Wittwar, D. and Barth, A. and Haasdonk, Bernard and Nowak, W. and Pfl{\"u}ger, D. and Rohde, C.}, groups = {haasdonk, santin}, institution = {University of Stuttgart}, owner = {santinge}, title = {Comparison of data-driven uncertainty quantification methods for a carbon dioxide storage benchmark scenario}, url = {http://www.simtech.uni-stuttgart.de/publikationen/prints.php?ID=1759}, year = 2017 }
69. Köppel, M., Kröker, I., & Rohde, C. (2017). Intrusive Uncertainty Quantification for Hyperbolic-Elliptic Systems Governing Two-Phase Flow in Heterogeneous Porous Media. Comput. Geosci., 21, 807–832. https://doi.org/10.1007/s10596-017-9662-z
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  @article{koppel2017intrusive, author = {Köppel, Markus and Kröker, Ilja and Rohde, Christian}, doi = {10.1007/s10596-017-9662-z}, journal = {Comput. Geosci.}, owner = {szur}, pages = {807-832}, title = {Intrusive Uncertainty Quantification for Hyperbolic-Elliptic Systems Governing Two-Phase Flow in Heterogeneous Porous Media}, url = {https://link.springer.com/article/10.1007%2Fs10596-017-9662-z}, volume = 21, year = 2017 }
70. Köppel, M., Franzelin, F., Kröker, I., Oladyshkin, S., Wittwar, D., Santin, G., Barth, A., Haasdonk, B., Nowak, W., Pflüger, D., & Rohde, C. (2017). Datasets and executables of data-driven uncertainty quantification benchmark in carbon dioxide storage. https://doi.org/10.5281/zenodo.933827
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  @misc{UQ_comparison_dataset, author = {K{\"o}ppel, Markus and Franzelin, Fabian and Kr{\"o}ker, Ilja and Oladyshkin, Sergey and Wittwar, Dominik and Santin, Gabriele and Barth, Andrea and Haasdonk, Bernard and Nowak, Wolfang and Pfl{\"u}ger, Dirk and Rohde, Christian}, doi = {10.5281/zenodo.933827}, month = {11}, owner = {santinge}, title = {{Datasets and executables of data-driven uncertainty quantification benchmark in carbon dioxide storage}}, url = {https://doi.org/10.5281/zenodo.933827}, year = 2017 }
71. Köppl, T., Santin, G., Haasdonk, B., & Helmig, R. (2017). Numerical modelling of a peripheral arterial stenosis using dimensionally reduced models and kernel methods. University of Stuttgart.
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  @techreport{Koeppl2017, __markedentry = {[haasdonk:6]}, author = {K{\"o}ppl, Tobias and Santin, Gabriele and Haasdonk, Bernard and Helmig, Reiner}, institution = {University of Stuttgart}, owner = {santinge}, title = {Numerical modelling of a peripheral arterial stenosis using dimensionally reduced models and kernel methods}, year = 2017 }
72. Langer, A. (2017). Automated Parameter Selection in the L1-L2-TV Model for Removing Gaussian Plus Impulse Noise. Inverse Problems, 33, 41. http://people.ricam.oeaw.ac.at/a.langer/publications/L1L2TVm.pdf
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  @article{langer2017automated, author = {Langer, Andreas}, journal = {Inverse Problems}, pages = 41, title = {Automated Parameter Selection in the L1-L2-TV Model for Removing Gaussian Plus Impulse Noise}, url = {http://people.ricam.oeaw.ac.at/a.langer/publications/L1L2TVm.pdf}, volume = 33, year = 2017 }
73. Langer, A. (2017). Automated Parameter Selection for Total Variation Minimization in Image Restoration. Journal of Mathematical Imaging and Vision, 57, 239--268. https://doi.org/10.1007/s10851-016-0676-2
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  @article{langer2017automated, author = {Langer, Andreas}, doi = {10.1007/s10851-016-0676-2}, journal = {Journal of Mathematical Imaging and Vision}, pages = {239--268}, title = {Automated Parameter Selection for Total Variation Minimization in Image Restoration}, url = {http://link.springer.com/article/10.1007/s10851-016-0676-2}, volume = 57, year = 2017 }
74. Maboudi Afkham, B., & Hesthaven, J. (2017). Structure Preserving Model Reduction of Parametric Hamiltonian Systems. SIAM Journal on Scientific Computing, 39(6), A2616–A2644. https://doi.org/10.1137/17M1111991
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  @article{MaboudiSMR2017, author = {Maboudi Afkham, B. and Hesthaven, J.}, doi = {10.1137/17M1111991}, eprint = {https://doi.org/10.1137/17M1111991}, journal = {SIAM Journal on Scientific Computing}, number = 6, pages = {A2616-A2644}, title = {{Structure Preserving Model Reduction of Parametric Hamiltonian Systems}}, url = {https://doi.org/10.1137/17M1111991}, volume = 39, year = 2017 }
75. Martini, I., Rozza, G., & Haasdonk, B. (2017). Certified Reduced Basis Approximation for the Coupling of Viscous and Inviscid Parametrized Flow Models. Journal of Scientific Computing. https://doi.org/10.1007/s10915-017-0430-y
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  @article{martini2017certified, author = {Martini, I. and Rozza, G. and Haasdonk, B.}, doi = {10.1007/s10915-017-0430-y}, file = {:http\://www.mathematik.uni-stuttgart.de/fak8/ians/publications/files/Martini2015_www_RB_viscous_inviscid_coupling.pdf:PDF}, journal = {Journal of Scientific Computing}, owner = {maieril}, title = {Certified Reduced Basis Approximation for the Coupling of Viscous and Inviscid Parametrized Flow Models}, url = {http://link.springer.com/article/10.1007/s10915-017-0430-y}, year = 2017 }
76. Maz’ya, V., Natroshvili, D., Shargorodsky, E., & Wendland, W. L. (Hrsg.). (2017). Recent Trends in Operator Theory and Partial Differential Equations. The Roland Duduchava Anniverary Volume (Nr. 258; Nummer 258). Birkhäuser/Springer International.
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  @book{mazya2017recent, editor = {Maz'ya, V. and Natroshvili, D. and Shargorodsky, E. and Wendland, W. L.}, number = 258, owner = {szur}, publisher = {Birkh\"auser/Springer International}, title = {Recent Trends in Operator Theory and Partial Differential Equations. The Roland Duduchava Anniverary Volume}, year = 2017 }
77. Minbashian, H., Adibi, H., & Dehghan, M. (2017). On Resolution of Boundary Layers of Exponential Profile with Small Thickness Using an Upwind Method in IGA.
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  @misc{minbashian2017resolution, author = {Minbashian, Hadi and Adibi, Hojatolah and Dehghan, Mehdi}, howpublished = {submitted}, owner = {seusdd}, title = {On Resolution of Boundary Layers of Exponential Profile with Small Thickness Using an Upwind Method in {IGA}}, year = 2017 }
78. Minbashian, H. (2017). Wavelet-based Multiscale Methods for Numerical Solution of Hyperbolic Conservation Laws. Amirkabir University of Technology (Tehran 11/2017 Polytechnic), Tehran, Iran.
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  @phdthesis{minbashian2017waveletbased, author = {Minbashian, Hadi}, owner = {seusdd}, school = {Amirkabir University of Technology (Tehran 11/2017 Polytechnic), Tehran, Iran.}, title = {Wavelet-based Multiscale Methods for Numerical Solution of Hyperbolic Conservation Laws}, year = 2017 }
79. Minbashian, H., Adibi, H., & Dehghan, M. (2017). An adaptive wavelet space-time SUPG method for hyperbolic conservation laws. Numerical Methods for Partial Differential Equations, 33(6), 2062–2089. https://doi.org/10.1002/num.22180
  - BibTeX
  BibTeX
  @article{minbashian2017adaptive, abstract = {This article concerns with incorporating wavelet bases into existing streamline upwind Petrov-Galerkin (SUPG) methods for the numerical solution of nonlinear hyperbolic conservation laws which are known to develop shock solutions. Here, we utilize an SUPG formulation using continuous Galerkin in space and discontinuous Galerkin in time. The main motivation for such a combination is that these methods have good stability properties thanks to adding diffusion in the direction of streamlines. But they are more expensive than explicit semidiscrete methods as they have to use space-time formulations. Using wavelet bases we maintain the stability properties of SUPG methods while we reduce the cost of these methods significantly through natural adaptivity of wavelet expansions. In addition, wavelet bases have a hierarchical structure. We use this property to numerically investigate the hierarchical addition of an artificial diffusion for further stabilization in spirit of spectral diffusion. Furthermore, we add the hierarchical diffusion only in the vicinity of discontinuities using the feature of wavelet bases in detection of location of discontinuities. Also, we again use the last feature of the wavelet bases to perform a postprocessing using a denosing technique based on a minimization formulation to reduce Gibbs oscillations near discontinuities while keeping other regions intact. Finally, we show the performance of the proposed combination through some numerical examples including Burgers�, transport, and wave equations as well as systems of shallow water equations.� 2017 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 33: 2062�2089, 2017}, author = {Minbashian, Hadi and Adibi, Hojatolah and Dehghan, Mehdi}, doi = {10.1002/num.22180}, eprint = {https://onlinelibrary.wiley.com/doi/pdf/10.1002/num.22180}, journal = {Numerical Methods for Partial Differential Equations}, number = 6, owner = {seusdd}, pages = {2062-2089}, title = {An adaptive wavelet space-time SUPG method for hyperbolic conservation laws}, url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/num.22180}, volume = 33, year = 2017 }
80. Minbashian, H., Adibi, H., & Dehghan, M. (2017). An Adaptive Space-Time Shock Capturing Method with High Order Wavelet Bases for the System of Shallow Water Equations. International Journal of Numerical Methods for Heat & Fluid Flow.
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  BibTeX
  @article{minbashian2017adaptive, author = {Minbashian, Hadi and Adibi, Hojatolah and Dehghan, Mehdi}, journal = {International Journal of Numerical Methods for Heat \& Fluid Flow}, note = {(Accepted)}, owner = {seusdd}, title = {An Adaptive Space-Time Shock Capturing Method with High Order Wavelet Bases for the System of Shallow Water Equations}, year = 2017 }
81. Oesting, M., Schlather, M., & Friederichs, P. (2017). Statistical post-processing of forecasts for extremes using bivariate Brown-Resnick processes with an application to wind gusts. Extremes, 20(2), 309--332. https://doi.org/10.1007/s10687-016-0277-x
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  BibTeX
  @article{MR3638369, author = {Oesting, Marco and Schlather, Martin and Friederichs, Petra}, doi = {10.1007/s10687-016-0277-x}, fjournal = {Extremes. Statistical Theory and Applications in Science, Engineering and Economics}, issn = {1386-1999}, journal = {Extremes}, mrclass = {60G70 (60G60 62M30 86A32)}, mrnumber = {3638369}, number = 2, pages = {309--332}, title = {Statistical post-processing of forecasts for extremes using bivariate {B}rown-{R}esnick processes with an application to wind gusts}, url = {https://doi.org/10.1007/s10687-016-0277-x}, volume = 20, year = 2017 }
82. Pelinovsky, D., & Schneider, G. (2017). Bifurcations of standing localized waves on periodic graphs. Ann. Henri Poincaré, 18(4), 1185--1211.
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  BibTeX
  @article{zbMATH06721361, author = {{Pelinovsky}, Dmitry and {Schneider}, Guido}, fjournal = {{Annales Henri Poincar\'e}}, issn = {1424-0637; 1424-0661/e}, journal = {{Ann. Henri Poincar\'e}}, language = {English}, msc2010 = {35Q55 81Q35 35D35 35Q41 35B32}, number = 4, pages = {1185--1211}, publisher = {Springer (Birkh\"auser), Basel}, title = {{Bifurcations of standing localized waves on periodic graphs}}, volume = 18, year = 2017, zbl = {1387.35556} }
83. Rösinger, C. A., & Scherer, C. W. (2017). Structured Controller Design With Applications to Networked Systems. Proc. 56th IEEE Conf. Decision and Control. https://doi.org/10.1109/CDC.2017.8264365
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  BibTeX
  @inproceedings{RoeSch17, abstract = {We introduce a framework to synthesize block-diagonal H∞-controllers with a parametric and a block-triangular dynamic component by convex optimization. This is motivated by a recent H∞-design approach for systems with delayed interconnections that are structured according to a strongly-connected communication graph. Our framework allows the extension to synthesis for interconnections described by multiple strongly-connected graphs that are themselves coupled through a nested delay structure.}, author = {R\"{o}singer, C. A. and Scherer, C. W.}, booktitle = {Proc. 56th IEEE Conf. Decision and Control}, doi = {10.1109/CDC.2017.8264365}, title = {{S}tructured {C}ontroller {D}esign {W}ith {A}pplications to {N}etworked {S}ystems}, url = {https://ieeexplore.ieee.org/document/8264365/?duplicates=no}, year = 2017 }
84. Santin, G., & Haasdonk, B. (2017). Convergence rate of the data-independent P-greedy algorithm in kernel-based approximation. Dolomites Res. Notes Approx., 10, 68--78. /brokenurl#www.emis.de/journals/DRNA/9-2.html
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  BibTeX
  @article{SH16b, abstract = {Kernel-based methods provide flexible and accurate algorithms for the reconstruction of functions from meshless samples. A major question in the use of such methods is the influence of the samplesâ€™ locations on the behavior of the approximation, and feasible optimal strategies are not known for general problems. Nevertheless, efficient and greedy point-selection strategies are known. This paper gives a proof of the convergence rate of the data-independent $P$-greedy algorithm, based on the application of the convergence theory for greedy algorithms in reduced basis methods. The resulting rate of convergence is shown to be quasi-optimal in the case of kernels generating Sobolev spaces. As a consequence, this convergence rate proves that, for kernels of Sobolev spaces, the points selected by the algorithm are asymptotically uniformly distributed, as conjectured in the paper where the algorithm has been introduced}, author = {Santin, G. and Haasdonk, Bernard}, file = {:PDF/SH16b_www_p-greedy.pdf:PDF}, fjournal = {Dolomites Research Notes on Approximation}, groups = {haasdonk, santin, haasdonk_misc, haasdonk_all_papers}, journal = {Dolomites Res. Notes Approx.}, owner = {haasdonk}, pages = {68--78}, sjournal = {Dolomites Res.\ Notes Approx.}, title = {Convergence rate of the data-independent {P}-greedy algorithm in kernel-based approximation}, url = {/brokenurl#www.emis.de/journals/DRNA/9-2.html}, volume = 10, year = 2017 }
85. Santin, G., & Haasdonk, B. (2017). Greedy Kernel Approximation for Sparse Surrogate Modelling. University of Stuttgart.
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  BibTeX
  @techreport{SH2017a, author = {Santin, G. and Haasdonk, Bernard}, institution = {University of Stuttgart}, owner = {santinge}, title = {Greedy Kernel Approximation for Sparse Surrogate Modelling}, year = 2017 }
86. Santin, G., & Haasdonk, B. (2017). Non-symmetric kernel greedy interpolation.
  - BibTeX
  BibTeX
  @unpublished{HaSa2017, author = {Santin, G. and Haasdonk, Bernard}, note = {University of Stuttgart, in preparation, 2017.}, owner = {santinge}, title = {Non-symmetric kernel greedy interpolation.}, year = 2017 }
87. Schanz, M., Schaaf, L., Dippon, J., Biegger, D., Fritz, P., Alscher, MD., & Kimmel, M. (2017). Renal effects of metallothionein induction by zinc in vitro and in vivo. BMC Nephrol, 2017 Mar 16;18(1), 91. https://doi.org/10.1186/s12882-017-0503-z
  - BibTeX
  BibTeX
  @article{schanz2017renal, author = {Schanz, M. and Schaaf, L. and Dippon, J. and Biegger, D. and Fritz, P. and Alscher, MD. and Kimmel, M.}, doi = {10.1186/s12882-017-0503-z}, journal = {BMC Nephrol}, pages = 91, title = {Renal effects of metallothionein induction by zinc in vitro and in vivo}, volume = {2017 Mar 16;18(1)}, year = 2017 }
88. Schanz, M., Ketteler, M., Heck, M., Dippon, J., Alscher, MD., & Kimmel, M. (2017). Impact of an in-Hospital Patient Education Program on Choice of Renal Replacement Modality in Unplanned Dialysis Initiation. Kidney & blood pressure research, 42(5), 865–876. https://doi.org/10.1159/000484531
  - BibTeX
  BibTeX
  @article{schanz2017impact, author = {Schanz, M. and Ketteler, M. and Heck, M. and Dippon, J. and Alscher, MD. and Kimmel, M.}, doi = {10.1159/000484531}, journal = {Kidney & blood pressure research}, number = 5, pages = {865-876}, title = {Impact of an in-Hospital Patient Education Program on Choice of Renal Replacement Modality in Unplanned Dialysis Initiation}, volume = 42, year = 2017 }
89. Schmid, J., & Griesemer, M. (2017). Well-posedness of non-autonomous linear evolution equations in uniformly convex spaces. Math. Nachr., 290(2–3), 435--441. https://doi.org/10.1002/mana.201500052
  - BibTeX
  BibTeX
  @article{MR3607115, author = {Schmid, J. and Griesemer, M.}, doi = {10.1002/mana.201500052}, fjournal = {Mathematische Nachrichten}, issn = {0025-584X}, journal = {Math. Nachr.}, mrclass = {47D06 (34G10)}, mrnumber = {3607115}, mrreviewer = {Roland Schnaubelt}, number = {2-3}, pages = {435--441}, title = {Well-posedness of non-autonomous linear evolution equations in uniformly convex spaces}, url = {https://doi.org/10.1002/mana.201500052}, volume = 290, year = 2017 }
90. Schmidt, A., & Haasdonk, B. (2017). Data-driven surrogates of value functions and applications to feedback control for dynamical systems. University of Stuttgart. http://www.simtech.uni-stuttgart.de/publikationen/prints.php?ID=1742
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  BibTeX
  @techreport{schmidt2017datadriven, author = {Schmidt, A. and Haasdonk, B.}, institution = {University of Stuttgart}, note = {Submitted to MathMod 2018}, owner = {schmidta}, title = {Data-driven surrogates of value functions and applications to feedback control for dynamical systems}, url = {http://www.simtech.uni-stuttgart.de/publikationen/prints.php?ID=1742}, year = 2017 }
91. Schmidt, A., & Haasdonk, B. (2017). Reduced basis approximation of large scale parametric algebraic Riccati equations. ESAIM: Control, Optimisation and Calculus of Variations. https://doi.org/10.1051/cocv/2017011
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  @article{schmidt2017reduced, author = {Schmidt, Andreas and Haasdonk, Bernard}, doi = {10.1051/cocv/2017011}, issn = {1262-3377}, journal = {ESAIM: Control, Optimisation and Calculus of Variations}, month = {02}, owner = {schmidta}, publisher = {EDP Sciences}, title = {Reduced basis approximation of large scale parametric algebraic {Riccati} equations}, url = {http://dx.doi.org/10.1051/cocv/2017011}, year = 2017 }
92. Schneider, G., & Uecker, H. (2017). Nonlinear PDEs. A dynamical systems approach. In Grad. Stud. Math. (Bd. 182, S. xiii + 575). Providence, RI: American Mathematical Society (AMS).
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  BibTeX
  @book{zbMATH06812627, author = {{Schneider}, Guido and {Uecker}, Hannes}, fjournal = {{Graduate Studies in Mathematics}}, isbn = {978-1-4704-3613-1/hbk; 978-1-4704-4228-6/ebook}, issn = {1065-7338}, journal = {{Grad. Stud. Math.}}, language = {English}, msc2010 = {35-01 35Q53 35Q55 37Kxx 35Bxx 35Q56 35Q30}, pages = {xiii + 575}, publisher = {Providence, RI: American Mathematical Society (AMS)}, title = {{Nonlinear PDEs. A dynamical systems approach}}, volume = 182, year = 2017, zbl = {1402.35001} }
93. Steinwart, I. (2017). A Short Note on the Comparison of Interpolation Widths, Entropy Numbers, and Kolmogorov Widths. J. Approx. Theory, 215, 13--27. https://doi.org/10.1016/j.jat.2016.11.006
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  BibTeX
  @article{Steinwart17a, author = {Steinwart, I.}, doi = {10.1016/j.jat.2016.11.006}, journal = {J. Approx. Theory}, note = {\url{https://arxiv.org/abs/1606.05500}}, pages = {13--27}, title = {A Short Note on the Comparison of Interpolation Widths, Entropy Numbers, and {K}olmogorov Widths}, volume = 215, year = 2017 }
94. Steinwart, I., & Thomann, P. (2017). liquidSVM: A Fast and Versatile SVM Package. Fakultät für Mathematik und Physik, Universität Stuttgart.
  - BibTeX
  BibTeX
  @techreport{StThXXa, author = {Steinwart, I. and Thomann, P.}, institution = {Fakult{\"a}t f{\"u}r Mathematik und Physik, Universit{\"at} Stuttgart}, note = {\url{https://arxiv.org/abs/1702.06899}}, title = {{liquidSVM}: A Fast and Versatile {SVM} Package}, year = 2017 }
95. Steinwart, I., Sriperumbudur, B. K., & Thomann, P. (2017). Adaptive Clustering Using Kernel Density Estimators. Fakultät für Mathematik und Physik, Universität Stuttgart.
  - BibTeX
  BibTeX
  @techreport{StSrThXXa, author = {Steinwart, I. and Sriperumbudur, B.K. and Thomann, P.}, institution = {Fakult{\"a}t f{\"u}r Mathematik und Physik, Universit{\"at} Stuttgart}, note = {\url{http://arxiv.org/abs/1708.05254}}, title = {Adaptive Clustering Using Kernel Density Estimators}, year = 2017 }
96. Steinwart, I. (2017). A Short Note on the Comparison of Interpolation Widths, Wntropy Numbers, and Kolmogorov Widths. J. Approx. Theory, 215, 13--27.
  - BibTeX
  BibTeX
  @article{St17a, address = {Orlando}, author = {Steinwart, I.}, journal = {J. Approx. Theory}, pages = {13--27}, publisher = {Academic Press}, title = {A Short Note on the Comparison of Interpolation Widths, Wntropy Numbers, and Kolmogorov Widths}, volume = 215, year = 2017 }
97. Steinwart, I. (2017). Representation of Quasi-Monotone Functionals by Families of Separating Hyperplanes. Math. Nachr., 290, 1859--1883. https://doi.org/10.1002/mana.201500350
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  BibTeX
  @article{Steinwart17ba, author = {Steinwart, I.}, doi = {10.1002/mana.201500350}, journal = {Math. Nachr.}, note = {\url{http://arxiv.org/pdf/1508.05249v1}}, pages = {1859--1883}, title = {Representation of Quasi-Monotone Functionals by Families of Separating Hyperplanes}, volume = 290, year = 2017 }
98. Tempel, P., Schmidt, A., Haasdonk, B., & Pott, A. (2017). Application of the Rigid Finite Element Method to the Simulation of Cable-Driven Parallel Robots. In Computational Kinematics (S. 198--205). Springer International Publishing. https://doi.org/10.1007/978-3-319-60867-9_23
  - BibTeX
  BibTeX
  @incollection{tempel2017application, author = {Tempel, Philipp and Schmidt, Andreas and Haasdonk, Bernard and Pott, Andreas}, booktitle = {Computational Kinematics}, doi = {10.1007/978-3-319-60867-9_23}, month = {07}, owner = {schmidta}, pages = {198--205}, publisher = {Springer International Publishing}, title = {Application of the Rigid Finite Element Method to the Simulation of Cable-Driven Parallel Robots}, url = {https://doi.org/10.1007%2F978-3-319-60867-9_23}, year = 2017 }
99. Thomann, P., Steinwart, I., Blaschzyk, I., & Meister, M. (2017). Spatial Decompositions for Large Scale SVMs. In A. Singh & J. Zhu (Hrsg.), Proceedings of Machine Learning Research Volume 54: Proceedings of the 20th International Conference on Artificial Intelligence and Statistics 2017 (S. 1329--1337).
  - BibTeX
  BibTeX
  @inproceedings{ThStBlMe17a, author = {Thomann, P. and Steinwart, I. and Blaschzyk, I. and Meister, M.}, booktitle = {Proceedings of Machine Learning Research Volume 54: Proceedings of the 20th International Conference on Artificial Intelligence and Statistics 2017}, editor = {Singh, A. and Zhu, J.}, institution = {Fakult{\"a}t f{\"u}r Mathematik und Physik, Universit{\"at} Stuttgart}, note = {\url{http://proceedings.mlr.press/v54/thomann17a/thomann17a.pdf}}, pages = {1329--1337}, title = {Spatial Decompositions for Large Scale {SVM}s}, year = 2017 }
100. Wirth, J. (2017). On t-dependent hyperbolic systems. Part 2. J. Math. Anal. Appl., 448(1), 293--318. https://doi.org/10.1016/j.jmaa.2016.11.026
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  @article{MR3579885, author = {Wirth, Jens}, doi = {10.1016/j.jmaa.2016.11.026}, fjournal = {Journal of Mathematical Analysis and Applications}, issn = {0022-247X}, journal = {J. Math. Anal. Appl.}, mrclass = {35L56 (35A22 35C15)}, mrnumber = {3579885}, number = 1, pages = {293--318}, title = {On t-dependent hyperbolic systems. {P}art 2}, url = {https://doi.org/10.1016/j.jmaa.2016.11.026}, volume = 448, year = 2017 }
101. Wirth, J. (2017). Regular singular problems for hyperbolic systems and their asymptotic integration. In New trends in analysis and interdisciplinary applications (S. 553--561). Birkhäuser/Springer, Cham. https://doi.org/10.1007/978-3-319-48812-7_70
  - BibTeX
  BibTeX
  @incollection{MR3695687, author = {Wirth, Jens}, booktitle = {New trends in analysis and interdisciplinary applications}, doi = {10.1007/978-3-319-48812-7_70}, mrclass = {35L52}, mrnumber = {3695687}, pages = {553--561}, publisher = {Birkh\"auser/Springer, Cham}, series = {Trends Math. Res. Perspect.}, title = {Regular singular problems for hyperbolic systems and their asymptotic integration}, url = {https://doi.org/10.1007/978-3-319-48812-7_70}, year = 2017 }
102. Wittwar, D., Santin, G., & Haasdonk, B. (2017). Interpolation with uncoupled separable matrix-valued kernels. [ArXiv preprint 1807.09111, Accepted for publications in Dolomites Res. Notes Approx.].
  - BibTeX
  BibTeX
  @techreport{WSH17a, author = {Wittwar, D. and Santin, G. and Haasdonk, Bernard}, file = {:PDF/WSH17a_uncoupled_MVK.pdf:PDF}, owner = {wittwar}, title = {Interpolation with uncoupled separable matrix-valued kernels.}, type = {ArXiv preprint 1807.09111, Accepted for publications in {Dolomites Res. Notes Approx.}}, year = 2017 }
103. Wittwar, D., & Haasdonk, B. (2017). On uncoupled separable matrix-valued kernels. University of Stuttgart.
  - BibTeX
  BibTeX
  @techreport{WH17, author = {Wittwar, D. and Haasdonk, Bernard}, institution = {University of Stuttgart}, note = {In preperation}, owner = {wittwar}, title = {On uncoupled separable matrix-valued kernels}, year = 2017 }
104. Wittwar, D., Schmidt, A., & Haasdonk, B. (2017). Reduced Basis Approximation for the Discrete-time Parametric Algebraic Riccati Equation. University of Stuttgart.
  - BibTeX
  BibTeX
  @techreport{wittwar2017reduced, author = {Wittwar, D. and Schmidt, A. and Haasdonk, B.}, file = {:http\://www.mathematik.uni-stuttgart.de/fak8/ians/publications/files/WSH17_www.pdf:PDF}, institution = {University of Stuttgart}, owner = {schmidta}, title = {Reduced Basis Approximation for the Discrete-time Parametric Algebraic {R}iccati Equation}, year = 2017 }
2015
1. Kutter, M. (2015). A two scale model for liquid phase epitaxy with elasticity [University of Stuttgart]. http://elib.uni-stuttgart.de/opus/volltexte/2015/9833/
  - BibTeX
  BibTeX
  @phdthesis{kutter2015scale, abstract = {Epitaxy, a special form of crystal growth, is a technically relevant process for the production of thin films and layers. It gives the possibility to generate microstructures of different morphologies, such as steps, spirals or pyramids. These microstructures are influenced by elastic effects in the epitaxial layer. There are different epitaxial techniques, one is the so-called liquid phase epitaxy. Thereby, single particles are deposited out of a supersaturated liquid solution on a substrate where they contribute to the growth process. The thesis studies a two scale model including elasticity, introduced in [Ch.Eck, H.Emmerich. Liquid-phase epitaxy with elasticity. Preprint 197, DFG SPP 1095, 2006]. It consists of a macroscopic Navier-Stokes system and a macroscopic convection-diffusion equation for the transport of matter in the liquid, and a microscopic problem that combines a phase field approximation of a Burton-Cabrera-Frank model for the evolution of the epitaxial layer, a Stokes system for the fluid flow near the layer and an elasticity system for the elastic deformation of the solid film. Suitable conditions couple the single parts of the model. As main result, existence and uniqueness of a solution is proven in suitable function spaces. Furthermore, an iterative solving procedure is proposed, which reflects on the one hand the strategy of the proof of the main result via fixed point arguments and, on the other hand, can be a basis for an numerical algorithm.}, author = {Kutter, Michael}, owner = {kutterml}, school = {University of Stuttgart}, title = {A two scale model for liquid phase epitaxy with elasticity}, url = {http://elib.uni-stuttgart.de/opus/volltexte/2015/9833/}, year = 2015 }
2012
1. Feistauer, M., & Sändig, A.-M. (2012). Graded mesh refinement and error estimates of higher order for DGFE solutions of elliptic boundary value problems in polygons. Numerical Methods for Partial Differential Equations, 28(4), 1124--1151. https://doi.org/10.1002/num.20668
  - BibTeX
  BibTeX
  @article{feistauer2012graded, abstract = {Error estimates for DGFE solutions are well investigated if one assumes that the exact solution is sufficiently regular. In this article, we consider a Dirichlet and a mixed boundary value problem for a linear elliptic equation in a polygon. It is well known that the first derivatives of the solutions develop singularities near reentrant corner points or points where the boundary conditions change. On the basis of the regularity results formulated in Sobolev--Slobodetskii spaces and weighted spaces of Kondratiev type, we prove error estimates of higher order for DGFE solutions using a suitable graded mesh refinement near boundary singular points. The main tools are as follows: regularity investigation for the exact solution relying on general results for elliptic boundary value problems, error analysis for the interpolation in Sobolev--Slobodetskii spaces, and error estimates for DGFE solutions on special graded refined meshes combined with estimates in weighted Sobolev spaces. Our main result is that there exist a local grading of the mesh and a piecewise interpolation by polynoms of higher degree such that we will get the same order O (ha) of approximation as in the smooth case. � 2011 Wiley Periodicals, Inc. Numer Mehods Partial Differential Eq, 2012}, author = {Feistauer, Miloslav and S{\"a}ndig, Anna-Margarete}, doi = {10.1002/num.20668}, issn = {1098-2426}, journal = {Numerical Methods for Partial Differential Equations}, number = 4, pages = {1124--1151}, publisher = {Wiley Subscription Services, Inc., A Wiley Company}, title = {Graded mesh refinement and error estimates of higher order for DGFE solutions of elliptic boundary value problems in polygons}, url = {http://dx.doi.org/10.1002/num.20668}, volume = 28, year = 2012 }

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