Research reports

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Nr.	PDF	Authors and Title
2022-49	PDFfile_download	O. Rietmann and V. Gradinaru Spawning Semiclassical Wavepackets
2022-48	PDFfile_download	M. Averseng A Stable and Jump-Aware Projection onto a Discrete Multi-Trace Space
2022-47	PDFfile_download	R. Aylwin and C. Jerez-Hanckes and Ch. Schwab and J. Zech Multilevel Domain Uncertainty Quantification in Computational Electromagnetics
2022-46	PDFfile_download	K. Kirchner and Ch. Schwab Monte Carlo convergence rates for kth moments in Banach spaces
2022-45	PDFfile_download	H. Harbrecht and M. Multerer and O. Schenk and Ch. Schwab Multiresolution Kernel Matrix Algebra
2022-44	PDFfile_download	K. Alexopoulos and B. Davies A mathematical design strategy for highly dispersive resonator systems
2022-43	PDFfile_download	Y. He and Ch. Schwab Analytic regularity and Solution Approximation for a semilinear elliptic partial differential equation in a polygon Revised 1: August 2023
2022-42	PDFfile_download	S. Lanthaler and R. Molinaro and P. Hadorn and S. Mishra Nonlinear Reconstruction for Operator Learning of PDEs with Discontinuities
2022-41	PDFfile_download	T. K. Rusch and B. P. Chamberlain and M. W. Mahoney and M. M. Bronstein and S. Mishra Gradient Gating for Deep Multi-Rate Learning on Graphs Revised 1: March 2023
2022-40	PDFfile_download	R. Käppeli Well-balanced methods for Computational Astrophysics
2022-39	PDFfile_download	M. Faustmann and C. Marcati and J. Melenk and Ch. Schwab Exponential Convergence of hp FEM for the Integral Fractional Laplacian in Polygons
2022-38	PDFfile_download	L. Grubisic and R. Hiptmair and D. Renner Detecting Near Resonances in Acoustic Scattering
2022-37	PDFfile_download	E. Schulz and A. Wan Minimal l2 Norm Discrete Multiplier Method
2022-36	PDFfile_download	E. Schulz and R. Hiptmair and S. Kurz Boundary Integral Exterior Calculus Revised 1: July 2022 Revised 2: August 2022 Revised 3: December 2022
2022-35	PDFfile_download	T. De Ryck and S. Mishra and R. Molinaro Weak physics informed neural networks for approximating entropy solutions of hyperbolic conservation laws
2022-34	PDFfile_download	T. De Ryck and S. Mishra Error analysis for deep neural network approximations of parametric hyperbolic conservation laws
2022-33	PDFfile_download	M. Averseng Stability of a weighted L2 projection in a Sobolev space
2022-32	PDFfile_download	M. Averseng and F. Alouges Quasi-local and frequency robust preconditioners for the Helmholtz first-kind integral equations on the disk Revised 1: July 2022
2022-31	PDFfile_download	H. Ammari and J. Cao and X. Zeng Transmission properties of space-time modulated metamaterials
2022-30	PDFfile_download	M. Wellershoff Sampling at twice the Nyquist rate in two frequency bins guarantees uniqueness in Gabor phase retrieval
2022-29	PDFfile_download	F. Feppon and Z. Cheng and H. Ammari Subwavelength resonances in 1D high-contrast acoustic media
2022-28	PDFfile_download	R. Alaifari and G.S. Alberti and T. Gauksson Localized adversarial artifacts for compressed sensing MRI
2022-27	PDFfile_download	L. Herrmann and Ch. Schwab and J. Zech Neural and gpc operator surrogates: construction and expression rate bounds Revised 1: February 2024
2022-26	PDFfile_download	B. Scellier and S. Mishra and Y. Bengio and Y. Ollivier Agnostic Physics-Driven Deep Learning
2022-25	PDFfile_download	R. Alaifari and F. Bartolucci and S. Steinerberger and M. Wellershoff On the connection between uniqueness from samples and stability in Gabor phase retrieval
2022-24	PDFfile_download	I. Labarca and R. Hiptmair Volume Integral Equations and Single-Trace Formulations for Acoustic Wave Scattering in an Inhomogeneous Medium Revised 1: September 2022 Revised 2: February 2023
2022-23	PDFfile_download	H. Ammari and B. Davies and E.O. Hiltunen Anderson localization in the subwavelength regime
2022-22	PDFfile_download	H. Ammari and T. Kosche Topological phenomena in honeycomb Floquet metamaterials Revised 1: September 2022
2022-21	PDFfile_download	P. Panchal and N. Ren and R. Hiptmair Force Computation for Dielectrics using Shape Calculus
2022-20	PDFfile_download	T. De Ryck and S. Mishra Generic bounds on the approximation error for physics-informed (and) operator learning
2022-19	PDFfile_download	M. Prasthofer and T. De Ryck and S. Mishra Variable-Input Deep Operator Networks
2022-18	PDFfile_download	H. Ammari and J. Cao Unidirectional edge modes in time-modulated metamaterials
2022-17	PDFfile_download	P. Liu and H. Ammari Nearly optimal resolution estimate for the two-dimensional super-resolution and a new algorithm for direction of arrival estimation with uniform rectangular array
2022-16	PDFfile_download	F. Feppon and H. Ammari Subwavelength resonant acoustic scattering in fast time-modulated media
2022-15	PDFfile_download	M. Wellershoff Phase retrieval of entire functions and its implications for Gabor phase retrieval
2022-14	PDFfile_download	M. Averseng and X. Claeys and R. Hiptmair Fractured Meshes
2022-13	PDFfile_download	M. Petrella and R. Abgrall and S. Mishra On the discrete equation model for compressible multiphase fluid flows
2022-12	PDFfile_download	P. Liu and H. Ammari Dynamic super-resolution in particle tracking problems
2022-11	PDFfile_download	M. Faustmann and C. Marcati and J.M. Melenk and Ch. Schwab Exponential convergence of hp-FEM for the integral fractional Laplacian in 1D Revised 1: April 2022 Revised 2: August 2022
2022-10	PDFfile_download	Ch. Schwab and A. Stein Multilevel Monte Carlo FEM for Elliptic PDEs with Besov Random Tree Priors Revised 1: December 2022
2022-09	PDFfile_download	I. Perugia and Ch. Schwab and M. Zank Exponential Convergence of hp-Time-Stepping in Space-Time Discretizations of Parabolic PDEs
2022-08	PDFfile_download	T. De Ryck and A. D. Jagtap and S. Mishra Error estimates for physics informed neural networks approximating the Navier-Stokes equations Revised 1: February 2023
2022-07	PDFfile_download	R. Hiptmair and D. Pauly and E. Schulz Traces for Hilbert Complexes Revised 1: January 2023
2022-06	PDFfile_download	K. Alexopoulos and B. Davies Asymptotic analysis of subwavelength halide perovskite resonators
2022-05	PDFfile_download	P. Liu and S. Yu and O. Sabet and L. Pelkmans and H. Ammari Mathematical foundation of sparsity-based multi-illumination super-resolution
2022-04	PDFfile_download	T. K. Rusch and B. P. Chamberlain and J. Rowbottom and S. Mishra and M. M. Bronstein Graph-Coupled Oscillator Networks Revised 1: June 2022
2022-03	PDFfile_download	M. Longo and J. A. A. Opschoor and N. Disch and Ch. Schwab and J. Zech De Rham compatible Deep Neural Network FEM Revised 1: December 2022 Revised 2: June 2023
2022-02	PDFfile_download	D. Dung and V.K. Nguyen and Ch. Schwab and J. Zech Analyticity and sparsity in uncertainty quantification for PDEs with Gaussian random field inputs Revised 1: April 2023
2022-01	PDFfile_download	R. Aylwin and F. Henriquez and Ch. Schwab ReLU Neural Network Galerkin BEM Revised 1: February 2023

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