Research reports

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Nr.	PDF	Authors and Title
2020-69	PDFfile_download	E. Schulz and R. Hiptmair First-Kind Boundary Integral Equations for the Dirac Operator in 3d Lipschitz Domains
2020-68	PDFfile_download	V. Gradinaru and O. Rietmann Hagedorn Wavepackets and Schrödinger Equation with Time-Dependent, Homogeneous Magnetic Field Revised 1: August 2021
2020-67	PDFfile_download	L. Banjai and J.M. Melenk and Ch. Schwab Exponential Convergence of hp FEM for Spectral Fractional Diffusion in Polygons
2020-66	PDFfile_download	H. Ammari and B. Davies and E.O. Hiltunen and H. Lee and S. Yu Wave interaction with subwavelength resonators
2020-65	PDFfile_download	C. Marcati and J. A. A. Opschoor and P. C. Petersen and Ch. Schwab Exponential ReLU Neural Network Approximation Rates for Point and Edge Singularities Revised 1: October 2020 Revised 2: March 2022
2020-64	PDFfile_download	R. Alaifari and M. Wellershoff Phase retrieval from sampled Gabor transform magnitudes: Counterexamples Revised 1: November 2021 Revised 2: November 2021 Revised 3: December 2021
2020-63	PDFfile_download	T. K. Rusch and S. Mishra Coupled Oscillatory Recurrent Neural Network (coRNN): An accurate and (gradient) stable architecture for learning long time dependencies Revised 1: February 2021
2020-62	PDFfile_download	S. Mishra and R. Molinaro Physics Informed Neural Networks for Simulating Radiative Transfer Revised 1: April 2021
2020-61	PDFfile_download	C. Marcati and M. Rakhuba and J. E. M. Ulander Low rank tensor approximation of singularly perturbed partial differential equations in one dimension
2020-60	PDFfile_download	A. Buffa and R. Hiptmair and P. Panchal Adaptive Approximation of Shapes Revised 1: December 2020
2020-59	PDFfile_download	Y. Maday and C. Marcati Weighted analyticity of Hartree-Fock eigenfunctions
2020-58	PDFfile_download	R. Alaifari and F. Bartolucci and M. Wellershoff Phase retrieval of bandlimited functions for the wavelet transform Revised 1: November 2021
2020-57	PDFfile_download	M. Longo and S. Mishra and T. K. Rusch and Ch. Schwab Higher-order Quasi-Monte Carlo Training of Deep Neural Networks Revised 1: April 2021
2020-56	PDFfile_download	A. M. Ruf Flux-stability for conservation laws with discontinuous flux and convergence rates of the front tracking method
2020-55	PDFfile_download	J. Badwaik and C. Klingenberg and N. H. Risebro and A. M. Ruf Multilevel Monte Carlo finite volume methods for random conservation laws with discontinuous flux
2020-54	PDFfile_download	U. S. Fjordholm and A. M. Ruf Second-order accurate TVD numerical methods for nonlocal nonlinear conservation laws Revised 1: August 2020
2020-53	PDFfile_download	K. Lye and S. Mishra and D. Ray and P. Chandrashekar Iterative Surrogate Model Optimization (ISMO): An active learning algorithm for PDE constrained optimization with deep neural networks
2020-52	PDFfile_download	L. Gonon and Ch. Schwab Deep ReLU network expression rates for option prices in high-dimensional, exponential Lévy models Revised 1: January 2021
2020-51	PDFfile_download	H. Ammari and B. Davies and E.O. Hiltunen and H. Lee and S. Yu High-order exceptional points and enhanced sensing in subwavelength resonator arrays
2020-50	PDFfile_download	A. Bercher and L. Gonon and A. Jentzen and D. Salimova Weak error analysis for stochastic gradient descent optimization algorithms
2020-49	PDFfile_download	I. Labarca and R. Hiptmair Acoustic Scattering Problems with Convolution Quadrature and the Method of Fundamental Solutions Revised 1: December 2020
2020-48	PDFfile_download	V.H. Hoang and J.H. Quek and Ch. Schwab Multilevel MCMC Bayesian Inversion of Parabolic PDEs under Gaussian Prior
2020-47	PDFfile_download	J. A. A. Opschoor and Ch. Schwab and J. Zech Deep learning in high dimension: ReLU neural network expression for Bayesian PDE inversion (extended version) Revised 1: November 2022
2020-46	PDFfile_download	S. Mishra and R. Molinaro Estimates on the generalization error of Physics Informed Neural Networks (PINNs) for approximating a class of inverse problems for PDEs Revised 1: April 2021
2020-45	PDFfile_download	S. Mishra and R. Molinaro Estimates on the generalization error of Physics Informed Neural Networks (PINNs) for approximating PDEs. Revised 1: June 2020
2020-44	PDFfile_download	F. Bartolucci and S. Pilipovic and N. Teofanov The Shearlet Transform and Lizorkin Spaces
2020-43	PDFfile_download	J. Ostrowski and R. Hiptmair Frequency-Stable Full Maxwell in Electro-Quasistatic Gauge Revised 1: May 2021
2020-42	PDFfile_download	R. Alaifari and M. Wellershoff Uniqueness of STFT phase retrieval for bandlimited functions Revised 1: October 2020
2020-41	PDFfile_download	A. Chernov and C. Marcati and L. Mascotto p- and hp- virtual elements for the Stokes equation
2020-40	PDFfile_download	G. Alberti and F. Bartolucci and F. De Mari and E. De Vito Radon Transform: Dual Pairs and Irreducible Representations
2020-39	PDFfile_download	F. Bartolucci and F. De Mari and M. Monti Unitarization of the Horocyclic Radon Transform on Homogeneous Trees Revised 1: August 2021
2020-38	PDFfile_download	F. Bartolucci and S. Pilipovic and N. Teofanov Continuity Properties of the Shearlet Transform and the Shearlet Synthesis Operator on the Lizorkin type Spaces
2020-37	PDFfile_download	L. Grosheintz-Laval and R. Käppeli Well-balanced finite volume schemes for nearly steady adiabatic flows Revised 1: January 2021
2020-36	PDFfile_download	H. Ammari and E. Orvehed Hiltunen Edge modes in active systems of subwavelength resonators
2020-35	PDFfile_download	F. Hornung and A. Jentzen and D. Salimova Space-time deep neural network approximations for high-dimensional partial differential equations
2020-34	PDFfile_download	L. Baldassari and A. Scapin Multi-scale classification for electro-sensing
2020-33	PDFfile_download	V. Kazeev and I. Oseledets and M. Rakhuba and Ch. Schwab Quantized tensor FEM for multiscale problems: diffusion problems in two and three dimensions Revised 1: February 2022
2020-32	PDFfile_download	H. Ammari and B. Davies A biomimetic basis for the perception of natural sounds
2020-31	PDFfile_download	S. Mishra and TK. Rusch Enhancing accuracy of deep learning algorithms by training with low-discrepancy sequences
2020-30	PDFfile_download	M. Kirchhart and E. Schulz Div-Curl Problems and H^1-regular Stream Functions in 3D Lipschitz Domains Revised 1: February 2021
2020-29	PDFfile_download	J. Dick and M. Longo and Ch. Schwab Extrapolated Lattice Rule Integration in Computational Uncertainty Quantification Revised 1: June 2021
2020-28	PDFfile_download	L. Banjai and J.M. Melenk and Ch. Schwab hp-FEM for reaction-diffusion equations. II: Robust exponential convergence for multiple length scales in corner domains Revised 1: December 2021
2020-27	PDFfile_download	R. Hiptmair and J. Ostrowski Electromagnetic Port Boundary Conditions: Topological and Variational Perspective Revised 1: December 2020
2020-26	PDFfile_download	Ch. Beck and M. Hutzenthaler and A. Jentzen On nonlinear Feynman-Kac formulas for viscosity solutions of semilinear parabolic partial differential equations
2020-25	PDFfile_download	R. Käppeli and D. S. Balsara and P. Chandrashekar and A. Hazra Optimal, Globally Constraint-Preserving, DG(TD)2 Schemes for Computational Electrodynamics Based on Two-Derivative Runge-Kutta Timestepping and Multidimensional Generalized Riemann Problem Solvers – A von Neumann Stability Analysis Revised 1: April 2020
2020-24	PDFfile_download	V.H. Hoang and Ch. Schwab Deep ReLU neural network expression for elliptic multiscale problems
2020-23	PDFfile_download	S. Lanthaler On concentration in vortex sheets
2020-22	PDFfile_download	E. Schulz and R. Hiptmair Spurious Resonances in Coupled Domain-Boundary Variational Formulations of Transmission Problems in Electromagnetism and Acoustics Revised 1: October 2021 Revised 2: February 2022
2020-21	PDFfile_download	E. Schulz and R. Hiptmair Coupled Domain-Boundary Variational Formulations for Hodge-Helmholtz Operators
2020-20	PDFfile_download	H. Ammari and B. Li and J. Zou Mathematical analysis of electromagnetic scattering by dielectric nanoparticles with high refractive indices
2020-19	PDFfile_download	H. Ammari and P. Millien and A. Vanel Modal expansion for plasmonic resonators in the time domain
2020-18	PDFfile_download	L. Baldassari and A. Scapin Reconstruction of a small acoustic inclusion via Time-dependent Polarization Tensors
2020-17	PDFfile_download	H. Ammari and B. Davies and E.O. Hiltunen and H. Lee and S. Yu Exceptional points in parity-time-symmetric subwavelength metamaterials Revised 1: September 2020 Revised 2: March 2021
2020-16	PDFfile_download	Ch. Beck and L. Gonon and A. Jentzen Overcoming the curse of dimensionality in the numerical approximation of high-dimensional semilinear elliptic partial differential equations
2020-15	PDFfile_download	D. Schötzau and C. Marcati and Ch. Schwab Exponential convergence of mixed hp-DGFEM for the incompressible Navier-Stokes equations in R²
2020-14	PDFfile_download	H. Ammari and H. Kang and D. Kim and S. Yu Quantitative estimates for stress concentration of the Stokes flow between adjacent circular cylinders
2020-13	PDFfile_download	H. Ammari and Y. Chow and H. Liu Quantum ergodicity and localization of plasmon resonances
2020-12	PDFfile_download	H. Ammari and P. Millien and A. Vanel Mathematical modelling of plasmonic strain sensors
2020-11	PDFfile_download	X. Claeys and L. Giacomel and R. Hiptmair and C. Urzua-Torres Quotient-Space Boundary Element Methods for Scattering at Complex Screens Revised 1: January 2021
2020-10	PDFfile_download	P. Bansal and A. Moiola and I. Perugia and Ch. Schwab Space–time discontinuous Galerkin approximation of acoustic waves with point singularities Revised 1: August 2020
2020-09	PDFfile_download	H. Ammari and B. Davies and E.O. Hiltunen Robust edge modes in dislocated systems of subwavelength resonators
2020-08	PDFfile_download	H. Ammari and B. Li and J. Zou Super-resolution in recovering embedded electromagnetic sources in high contrast media
2020-07	PDFfile_download	T. De Ryck and S. Mishra and D. Ray On the approximation of rough functions with deep neural networks Revised 1: October 2020
2020-06	PDFfile_download	S. Lanthaler and S. Mishra and C. Parés-Pulido On the conservation of energy in two-dimensional incompressible flows
2020-05	PDFfile_download	H. Ammari and K. Imeri A mathematical and numerical framework for gradient meta-surfaces built upon periodically repeating arrays of Helmholtz resonators Revised 1: January 2020
2020-04	PDFfile_download	A. Jentzen and B. Kuckuck and Th. Müller-Gronbach and L. Yaroslavtseva Counterexamples to local Lipschitz and local Hölder continuity with respect to the initial values for additive noise driven stochastic differential equations with smooth drift coefficient functions with at most polynomially growing derivatives
2020-03	PDFfile_download	H. Ammari and B. Davies and S. Yu Close-to-touching acoustic subwavelength resonators: eigenfrequency separation and gradient blow-up
2020-02	PDFfile_download	L. Herrmann and Ch. Schwab and J. Zech Deep ReLU Neural Network Expression Rates for Data-to-QoI Maps in Bayesian PDE Inversion Revised 1: July 2020
2020-01	PDFfile_download	H. Ammari and Y.T. Chow and H. Liu Localized sensitivity analysis at high-curvature boundary points of reconstructing inclusions in transmission problems Revised 1: January 2020

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