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Preprints at the Department of Mathematics

Department of Mathematics

Selection of Preprints at the Department of Mathematics 2018 to 2021

2022

Date	Author	Title
12/2022	R. Fukuizumi, Y. Gao, G. Schneider, M. Takahashi	Pattern formation in 2d stochastic anisotropic Swift-Hohenberg equation
12/2022	V. Zaverkin, D. Holzmüller, L. Bonfirraro, J. Kästner	Transfer learning for chemically accurate interatomic neural network potentials
11/2022	M. Heß, G. Schneider	The validity of the Derivative NLS approximation for systems with cubic nonlinearities. CRC 1173 Preprint 2022/58, Karlsruhe Institute of Technology
11/2022	S. Hofbauer, X. Liao, G. Schneider	Validity of the Whitham approximation for a complex cubic Klein–Gordon equation. CRC 1173 Preprint 2022/64, Karlsruhe Institute of Technology
11/2022	D. Maier, W. Reichel, G. Schneider	Breather solutions for a semilinear Klein-Gordon equation on a periodic metric graph
09/2022	M. Heß, G. Schneider	A robust way to justify the Derivative NLS approximation. CRC 1173 Preprint 2022/50, Karlsruhe Institute of Technology
08/2022	D. Holzmüller, I. Steinwart	Training Two-Layer ReLU Networks with Gradient Descent is Inconsistent
08/2022	R. Merkle A. Barth	ON PROPERTIES AND APPLICATIONS OF GAUSSIAN SUBORDINATED L ́EVY FIELDS
08/2022	D. Holzmüller, V. Zaverkin, J. Kästner, I. Steinwart	A Framework and Benchmark for Deep Batch Active Learning for Regression
07/2022	T. Wenzel, D. Winkle, G. Santin, B. Haasdonk	Adaptive meshfree solution of linear partial differential equations with PDE-greedy kernel methods
07/2022	M. Geck, J. Hetz	On the labelling of characters of Weyl groups of type F4
07/2022	D. Pelinovsky, G. Schneider	KP-II approximation for a scalar FPU system on a 2D square lattice
07/2022	J. Hetz	On the generalised Springer correspondence for groups of type E8
04/2022	E. Chavli, R.Marczinzik	Homological algebra of Nakayama algebras and 321-avoiding permutations
04/2022	B. Haasdonk, H. Kleikamp, M. Ohlberger, F. Schindler, T. Wenzel	A new certified hierarchical and adaptive RB-ML-ROM surrogate model for parametrized PDEs
03/2022	T. Wenzel, G. Santin, B. Haasdonk	Stability of convergence rates: Kernel interpolation on non-Lipschitz domains
03/2022	G. Martin, G. Mezzedimi, D. Veniani	Enriques surfaces of non-degeneracy 3
02/2022	D. Holzmüller, V. Zaverkin, J. Kästner, I. Steinwart	A Framework and Benchmark for Deep Batch Active Learning for Regression
01/2022	B. Hilder, B. de Rijk, G. Schneider	Nonlinear stability of periodic roll solutions in the real Ginzburg-Landau equation against Cmub-perturbations

2021

Date	Author	Title
12/2021	E. Chavli, G. Pfeiffer	Centers of Hecke Algebras of Complex Reflection Groups
09/2021	V. Zaverkin, D. Holzmüller, I. Steinwart, J. Kästner	Fast and Sample-Efficient Interatomic Neural Network Potentials for Molecules and Materials Based on Gaussian Moments
07/2021	U. Semmelmann P.-A. Nagy	Eigenvalue estimates for 3-Sasaki structures
05/2021	Ch. Fiedler, C. W. Scherer, S. Trimpe	Learning-enhanced robust controller synthesis with rigorous statistical and control-theoretic guarantees
05/2021	C. Scherer	Dissipativity and Integral Quadratic Constraints, Tailored computational robustness tests for complex interconnections
05/2020	Chr. Fiedler, C. W. Scherer, S. Trimpe	Learning-enhanced robust controller synthesis with rigorous statistical and control-theoretic guarantees
05/2021	M. Geck	On the computation of character values for finite Chevalley groups of exceptional type
02/2021	C. Scherer, Ch. Ebenbauer	Convex Synthesis of Accelerated Gradient Algorithms
03/2021	M.Griesemer, M. Hofacker	From Short-Range to Contact Interactions in Two-dimensional Many-Body Systems
01/2021	U. Semmelmann P.-A. Nagy	The G_2 geometry of 3-Sasaki structures

2020

Date	Author	Title
12/2020	A. Rörich, T. Werthmann, D. Göddeke, L. Grasedyck	Bayesian inversion for electromyography using low-rank tensor formats
12/2020	U. Semmelmann G. Weingart	Stability of Compact Symmetric Spaces
11/2020	D. Gramlich, Ch. Ebenbauer, C. W. Scherer	Convex Synthesis of Accelerated Gradient Algorithms for Optimization and Saddle Point Problems using Lyapunov functions
11/2020	U. Semmelmann, et al.	Linear Instability of Sasaki Einstein and nearly parallel G2 manifolds
11/2020	T. Berrett, L. Györfi, H. Walk	Strongly universally consistent nonparametric regression and classification with privatised data
11/2020	L. Györfi, H. Walk	Nearest neighbor based conformal prediction
10/2020	K. Altmann, F. Witt	Toric co-Higgs sheaves
10/2020	D. Holzmüller	On the Universality of the Double Descent Peak in Ridgeless Regression
09/2020	J. Berberich, C. W. Scherer, F. Allgöwer	Combining Prior Knowledge and Data for Robust Controller Design
09/2020	J. Berberich, C. W. Scherer, F. Allgöwer	Combining Prior Knowledge and Data for Robust Controller Design
09/2020	B.N. Hahn, et al.	Using the Navier-Cauchy equation for motion estimation in dynamic imaging
08/2020	Sändig, A.-M.	Regularity results to semilinear Parabolic Initial Boundary Value Problems with Nonlinear Newton Boundary Conditions in a polygonal space-time cylinder
07.2020	U. Semmelmann, P.-A. Nagy	Deformations of nearly G2-structures
07/2020	D. Holzmüller, I. Steinwart	Training Two-Layer ReLU Networks with Gradient Descent is Inconsistent
06/2020	D. Gramlich, Chr. Ebenbauer, C. W. Scherer	Convex Synthesis of Accelerated Gradient Algorithms for Optimization and Saddle Point Problems using Lyapunov functions
06/2020	A. Kollross	Polar actions on Damek-Ricci spaces
03/2020	P.-A. Nagy, U. Semmelmann	Conformal Killing forms in Kaehler geometry
03/2020	S. Brandhorst, S.Sonel, D. Veniani	K3 surfaces covering an Enriques surface
03/2020	R. Tielen, M. Möller, D. Göddeke, C. Vuik	A p-multigrid method enhanced with an ILUT smoother and its comparison to h-multigrid methods within Isogeometric Analysis
03/2020	T. Hamm, I. Steinwart	SVM Learning Rates for Data with Low Intrinsic Dimension
02/2020	A. Kollross, M. Amann	Equivariant formality of the isotropy action on Z2⊕Z2-symmetric spaces
02/2020	U.Semmelmann, et al.	An Obata-type characterization of doubly-warped product K\''ahler manifolds
02/2020	U.Semmelmann, et al.	An Obata-type characterization of Calabi metrics on line bundles
02/2020	I. Steinwart	Reproducing Kernel Hilbert Spaces Cannot Contain all Continuous Functions on a Compact Metric Space
02/2020	M. Sebih, J. Wirth	On a wave equation with singular dissipation
02/2020	N. Krauss	The integral double Burnside ring of the symmetric group S3
01/2020	C. Rohde, H. Tang	On the stochastic Dullin-Gottwald-Holm equation: Global existence and wave-breaking phenomena
01/2020	C. Rohde, H. Tang	On a stochastic Camassa-Holm type equation with higher order nonlinearities
01/2020	J. Kennedy, R. Lang	On the eigenvalues of quantum graph Laplacians with large complex δ couplings
01/2020	C. A. Rösinger, C. W. Scherer	Lifting to Passivity for H2-Gain-Scheduling Synthesis with Full Block Scalings
01/2020	J.Wirth et al.	Decay estimates for a Klein-Gordon model with time-periodic coefficients
01/2020	J. Brinker, J. Wirth	Gelfand triples for the Kohn-Nirenberg quantization on homogeneous Lie groups

2019

Date	Author	Title
12/2019	S. Fischer	Some New Bounds on the Entropy Numbers of Diagonal Operators
12/2019	C. Rohde, L. von Wolff	A Ternary Cahn-Hilliard Navier-Stokes Model for Two Phase Flow with Precipitation and Dissolution
12/2019	J. Giesselmann, F. Meyer, C. Rohde	Error control for statistical solutions
12/2019	T. Hitz, J. Keim, C.-D. Munz, C. Rohde	A Parabolic Relaxation Model for the Navier-Stokes-Korteweg Equations
11/2019	T. Wenzel, G. Santin, B. Haasdonk	A novel class of stabilized greedy kernel approximation algorithms: Convergence, stability & uniform point distribution
11/2019	D. Göddeke et al.	Exa-Dune -- Flexible PDE Solvers, Numerical Methods and Applications
10/2019	T. Holicki, C. W. Scherer	Output-Feedback Synthesis for a Class of Aperiodic Impulsive Systems
09/2019	L. Ostrowski, C. Rohde	A Phase Field Approach to Compressible Droplet Impingement
08/2019	J. Kennedy, R. Lang et al.	On the eigenvalues of the Robin Laplacian with a complex parameter
08/2019	J. Giesselmann, F. Meyer, C. Rohde	An a posteriori error analysis based on non-intrusive spectral projections for systems of random conservation laws
08/2019	M. Griesemer, U. Linden, M. Hofacker	From Short-Range to Contact Interactions in the 1d Bose Gas
072019	W.-P. Düll	Validity of the Nonlinear Schrödinger Approximation for the Two-Dimensional Water Wave Problem With and Without Surface Tension in the Arc Length Formulation
07/2019	U. Freiberg, S. Kohl	Martin boundary theory on inhomogenous fractals
06/2019	B. de Rijk, G. Schneider	Global existence and decay in nonlinearly coupled reaction-diffusion-advection equations with different velocities
05/2019	L. Ostrowski, C. Rohde	Compressible multi-component flow in porous media with Maxwell-Stefan diffusion
05/2019	S. Michalowsky, C.Scherer, C.Ebenbauer	Robust and structure exploiting optimization algorithms: An integral quadratic constraint approach
05/2019	U. Semmelmann et al.	Conformal Killing forms on nearly Kähler manifolds
05/2019	A. Armiti-Juber, C. Rohde	On the Well-posedness of a Nonlinear Fourth-Order Extension of Richards' Equation
05/2019	F. Burghart, U. Freiberg	The Einstein Relation on Metric Measure Spaces
04/2019	J. Magiera, D. Ray, J. Hesthaven, C. Rohde	Constraint-Aware Neural Networks for Riemann Problems
03/2019	G. Schneider et al.	Effective numerical simulation of the Klein–Gordon–Zakharov system in the Zakharov limit
03/2019	U. Freiberg, L. Minorics	Eigenvalue Approximation for Krein-Feller-Operators
02/2019	J. Giesselmann, F. Meyer, C. Rohde	A posteriori error analysis and adaptive non-intrusive numerical schemes for systems of random conservation laws
02/2019	C. Rohde, L. von Wolff	Homogenization of Non-Local Navier-Stokes-Korteweg Equations for Compressible Liquid-Vapour Flow in Porous Media
02/2019	U. Freiberg, K. Taglieber	Random graphs and their subgraphs
01/2019	D. Göddeke et al.	Simulation of Nonlinear Signal Propagation in Multimode Fibers on Multi-GPU Systems
2019	N. Knarr, M. Stroppel	Embeddings and ambient automorphisms of the Pappus configuration
2019	S. Fischer	Some New Bounds on the Entropy Numbers of Diagonal Operators
2019	A. Braun, M. Kohler, H. Walk	On the rate of convergence of a neural network regression estimate learned by gradient descent
2019	L. Györfi, N. Henze, H. Walk	The limit distribution of maximum probability nearest neighbor ball
2019	F. Gaspoz, C.-J. Heine, K. Siebert	An Alternative Proof of the H¹-Stability of the L₂-Projection on Graded Meshes

2018

Date	Author	Title
11/2018	G. Schneider, D. Zimmermann, et al.	Effective slow dynamics models for a class of dispersive systems
11/2018	T. Haas, G. Schneider	Failure of the N-wave interaction approximation without imposing periodic boundary conditions
11/2018	G. Schneider	The KdV approximation for a system with unstable resonances
11/2018	G. Schneider et al.	A model for the periodic water wave problem and its long wave amplitude equations
10/2018	B. Haasdonk, B. Hamzi, G. Santin, D. Wittwar	Greedy Kernel Methods for Center Manifold Approximation
09/2018	A. Alla, B. Haasdonk, A. Schmidt	Feedback control of parametrized PDEs via model order reduction and dynamic programming principle
08/2018	T. Haas, B. de Rijk, G. Schneider	Modulation equations near the Eckhaus boundary: the KdV equation
08/2018	F. Meyer, C.-D. Munz, C. Rohde, et al.	hp-Multilevel Monte Carlo Methods for Uncertainty Quantification of Compressible Flows
07/2018	D. Wittwar, G. Santin, B. Haasdonk	Interpolation with uncoupled separable matrix-valued kernels
07/2018	G. Santin, D. Wittwar, B. Haasdonk	Greedy regularized kernel interpolation
06/2018	U. Semmelmann et al.	Generalized vector cross products and Killing forms on negatively curved manifolds
05/2018	U. Semmelmann et al.	Metric connections with parallel skew-symmetric torsion
05/2018	A. Kollross	Octonions, triality, the exceptional Lie algebra F4, and polar actions on the Cayley hyperbolic plan
05/2018	M. Griesemer, U. Linden	Spectral Theory of the Fermi Polaron
05/2018	A. Kollross et al.	On homogeneous manifolds whose isotropy actions are polar
04/2018	B. Haasdonk, et al.	An algorithmic comparison of the Hyper-Reduction and the Discrete Empirical Interpolation Method for a nonlinear thermal problem
04/2018	U. Semmelmann et al.	The kernel of the Rarita-Schwinger operator on Riemannian spin manifolds
04/2018	D. Göddeke et al.	A high-level C++ approach to manage local errors, asynchrony and faults in an MPI application
03/2018	C. W. Scherer, J. Veenman	Stability analysis by dynamic dissipation inequalities: On merging frequency-domain techniques with time-domain conditions
03/2018	G. Schneider, D. Zimmermann, et al.	Nonlinear stability at the Eckhaus boundary
03/2018	B. Haasdonk et al.	Symplectic Model-Reduction with a Weighted Inner Product
03/2018	J. Wirth et al.	Zero resonances for localised potentials
02/2018	B. Haasdonk, et al.	Enabling Interactive Mobile Simulations Through Distributed Reduced Models
02/2018	T. Köppl, G. Santin, B. Haasdonk, R. Helmig	Numerical modelling of a peripheral arterial stenosis using dimensionally reduced models and kernel methods
02/2018	T. Brünnette, G. Santin, B. Haasdonk	Greedy kernel methods for accelerating implicit integrators for parametric ODEs
02/2018	A. Barth, B. Haasdonk, C. Rohde, et al.	Comparison of data-driven uncertainty quantification methods for a carbon dioxide storage benchmark scenario
02/2018	M. Griesemer, U. Linden	Stability of the two-dimensional Fermi polaron
02/2018	D. Göddeke et al.	Towards realistic HPC models of the neuromuscular system
2018	M. Stroppel et al.	Embeddings of hermitian unitals into pappian projective planes

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