Research reports

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Nr.	PDF	Authors and Title
2021-46	PDFfile_download	D. S. Balsara and R. Käppeli and W. Boscheri and M. Dumbser Curl Constraint-Preserving Reconstruction and the Guidance it gives for Mimetic Scheme Design
2021-45	PDFfile_download	J. P. Berberich and R. Käppeli and P. Chandrashekar and C. Klingenberg High order discretely well-balanced methods for arbitrary hydrostatic atmospheres
2021-44	PDFfile_download	D. S. Balsara and R. Käppeli Von Neumann Stability Analysis of DG-like and PNPM-like Schemes for PDEs that have Globally Curl-Preserving Evolution of Vector Fields
2021-43	PDFfile_download	M. Wellershoff Injectivity of sampled Gabor phase retrieval in spaces with general integrability conditions Revised 1: December 2021 Revised 2: June 2022
2021-42	PDFfile_download	C. Marcati and Ch. Schwab Exponential Convergence of Deep Operator Networks for Elliptic Partial Differential Equations Revised 1: October 2022
2021-41	PDFfile_download	M. Faustmann and C. Marcati and J.M. Melenk and Ch. Schwab Weighted analytic regularity for the integral fractional Laplacian in polygons Revised 1: July 2022
2021-40	PDFfile_download	Ch. Schwab and J. Zech Deep Learning in High Dimension: Neural Network Expression Rates for Analytic Functions in $L^2(\R^d,\gamma_d)$
2021-39	PDFfile_download	H. Ammari and Y. Chow and H. Liu and M. Sunkula Quantum Integrable Systems and Concentration of Plasmon Resonance
2021-38	PDFfile_download	F. Feppon and H. Ammari High order topological asymptotics: reconciling layer potentials and compound asymptotic expansions Revised 1: November 2021
2021-37	PDFfile_download	Ch. Schwab and A. Stein Deep Solution Operators for Variational Inequalities via Proximal Neural Networks Revised 1: February 2022
2021-36	PDFfile_download	A. Gupta and Ch. Schwab and M. Khammash DeepCME: A deep learning framework for computing solution statistics of the Chemical Master Equation
2021-35	PDFfile_download	F. Feppon and H. Ammari Homogenization of sound-absorbing and high-contrast acoustic metamaterials in subcritical regimes
2021-34	PDFfile_download	U. Fjordholm and S. Mishra and F. Weber On the vanishing viscosity limit of statistical solutions of the incompressible Navier-Stokes equations
2021-33	PDFfile_download	T. K. Rusch and S. Mishra and N. B. Erichson and M. W. Mahoney Long Expressive Memory for Sequence Modeling Revised 1: February 2022
2021-32	PDFfile_download	H. Ammari and E.O. Hiltunen and T. Kosche Asymptotic Floquet theory for first order ODEs with finite Fourier series perturbation and its applications to Floquet metamaterials
2021-31	PDFfile_download	C. Parés-Pulido Finite volume methods for the computation of statistical solutions of the incompressible Euler equations
2021-30	PDFfile_download	F. Bartolucci and E. De Vito and L. Rosasco and S. Vigogna Understanding neural networks with reproducing kernel Banach spaces Revised 1: October 2021
2021-29	PDFfile_download	Y. He and C. Marcati and Ch. Schwab Analytic regularity of solutions to the Navier-Stokes equations with mixed boundary conditions in polygons Revised 1: July 2022 Revised 2: May 2023
2021-28	PDFfile_download	R. Hiptmair and A. Moiola and E. A. Spence Spurious Quasi-Resonances in Boundary Integral Equationsfor the Helmholtz Transmission Problem Revised 1: September 2021
2021-27	PDFfile_download	H. Ammari and J. Cao and E.O. Hiltunen Non-reciprocal wave propagation in space-time modulated media
2021-26	PDFfile_download	H. Ammari and F. Fiorani and E.O. Hiltunen On the validity of the tight-binding method for describing systems of subwavelength resonators
2021-25	PDFfile_download	F. Feppon and H. Ammari Modal decompositions and point scatterer approximations near the Minnaert resonance frequencies
2021-24	PDFfile_download	S. Mishra and D. Ochsner and A. M. Ruf and F. Weber Well-posedness of Bayesian inverse problems for hyperbolic conservation laws
2021-23	PDFfile_download	N. Kovachki and S. Lanthaler and S. Mishra On universal approximation and error bounds for Fourier Neural Operators
2021-22	PDFfile_download	S. Lanthaler and S. Mishra and F. Weber On the well-posedness of Bayesian inversion for PDEs with ill-posed forward problems
2021-21	PDFfile_download	R. Hiptmair and P. Panchal Electrostatic Force Computation with Boundary Element Methods
2021-20	PDFfile_download	A. Bell and B. Davies and H. Ammari Bernhard Riemann, the ear, and an atom of consciousness
2021-19	PDFfile_download	F. Feppon and H. Ammari Analysis of a Monte-Carlo Nystrom method
2021-18	PDFfile_download	P. Bansal Numerical approximation of statistical solutions of the incompressible Navier-Stokes Equations
2021-17	PDFfile_download	T. De Ryck and S. Mishra Error analysis for physics informed neural networks (PINNs) approximating Kolmogorov PDEs
2021-16	PDFfile_download	H. Ammari and B. Davies and E.O. Hiltunen Functional analytic methods for discrete approximations of subwavelength resonator systems
2021-15	PDFfile_download	T. De Ryck and M. De Vos and A. Bertrand Change Point Detection in Time Series Data using Autoencoders with a Time-Invariant Representation
2021-14	PDFfile_download	T. De Ryck and S. Lanthaler and S. Mishra On the approximation of functions by tanh neural networks Revised 1: August 2021
2021-13	PDFfile_download	G. Bai and U. Koley and S. Mishra and R. Molinaro On generalization error estimates of physics informed neural networks for approximating dispersive PDEs Revised 1: April 2021 Revised 2: April 2021
2021-12	PDFfile_download	H. Ammari and B. Davies and E.O. Hiltunen and H. Lee and S. Yu Bound states in the continuum and Fano resonances in subwavelength resonator arrays
2021-11	PDFfile_download	F. Feppon and P. F. J. Lermusiaux Rigid Sets and Coherent Sets in Realistic Ocean Flows
2021-10	PDFfile_download	T. K. Rusch and S. Mishra UnICORNN: A recurrent model for learning very long time dependencies Revised 1: June 2021
2021-09	PDFfile_download	H. Harbrecht and L. Herrmann and K. Kirchner and Ch. Schwab Multilevel approximation of Gaussian random fields: Covariance compression, estimation and spatial prediction
2021-08	PDFfile_download	L. Gonon and Ch. Schwab Deep ReLU neural networks overcome the curse of dimensionality for partial integrodifferential equations Revised 1: May 2022
2021-07	PDFfile_download	S. Lanthaler and S. Mishra and G. E. Karniadakis Error estimates for DeepOnets: A deep learning framework in infinite dimensions
2021-06	PDFfile_download	K. Imeri Optimal design of optical analog solvers of linear systems
2021-05	PDFfile_download	L. Baldassari and P. Millien and A. Vanel Modal approximation for plasmonic resonators in the time domain: the scalar case
2021-04	PDFfile_download	L. Herrmann and J. A. A. Opschoor and Ch. Schwab Constructive Deep ReLU Neural Network Approximation Revised 1: November 2021
2021-03	PDFfile_download	M. Longo Adaptive Quasi-Monte Carlo Finite Element Methods for parametric elliptic PDEs Revised 1: August 2021 Revised 2: June 2022
2021-02	PDFfile_download	F. Feppon and W. Jing High order homogenized Stokes models capture all three regimes
2021-01	PDFfile_download	H. Ammari and E.O. Hiltunen Time-dependent high-contrast subwavelength resonators

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