Research reports

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Nr.	PDF	Authors and Title
2018-50	PDFfile_download	Th. Müller-Gronbach and L. Yaroslavtseva On the performance of the Euler-Maruyama scheme for SDEs with discontinuous drift coefficient
2018-49	PDFfile_download	C. Jerez-Hanckes and J. Pinto High-order Galerkin Method for Helmholtz and Laplace Problems on Multiple Open Arcs
2018-48	PDFfile_download	M. Rakhuba and A. Novikov and I. Oseledets Low-rank Riemannian eigensolver for high-dimensional Hamiltonians
2018-47	PDFfile_download	V. Gradinaru and O. Rietmann A High-Order Integrator for the Schrödinger Equation with Time-Dependent, Homogeneous Magnetic Field Revised 1: November 2020
2018-46	PDFfile_download	R. Hiptmair and C. Urzua-Torres Compact Equivalent Inverse of the Electric Field Integral Operator on Screens
2018-45	PDFfile_download	C. Jerez-Hanckes and J. Pinto Well-posedness of Helmholtz and Laplace Problems in Unbounded Domains with Multiple Screens
2018-44	PDFfile_download	D. S. Balsara and R. Käppeli von Neumann stability analysis of globally constraint-preserving DGTD and PNPM schemes for the Maxwell equations using multidimensional Riemann solvers
2018-43	PDFfile_download	S. Becker and B. Gess and A. Jentzen and P. Kloeden Lower and upper bounds for strong approximation errors for numerical approximations of stochastic heat equations
2018-42	PDFfile_download	H. Ammari and B. Fitzpatrick and E.O. Hiltunen and H. Lee and S. Yu Honeycomb-lattice Minnaert bubbles Revised 1: September 2020
2018-41	PDFfile_download	H. Ammari and D. Challa and A. Choudhury and M. Sini The equivalent media generated by bubbles of high contrasts: Volumetric metamaterials and metasurfaces
2018-40	PDFfile_download	H. Ammari and B. Fitzpatrick and H. Lee and E. Orvehed Hiltunen and S. Yu Subwavelength resonances of encapsulated bubbles
2018-39	PDFfile_download	H. Ammari and A. Dabrowski and B. Fitzpatrick and P. Millien Perturbations of the scattering resonances of an open cavity by small particles. Part II: The transverse electric polarization case Revised 1: January 2019
2018-38	PDFfile_download	H. Ammari and A. Dabrowski and B. Fitzpatrick and P. Millien Perturbation of the scattering resonances of an open cavity by small particles. Part I: The transverse magnetic polarization case Revised 1: January 2019
2018-37	PDFfile_download	H. Ammari and Y.T. Chow and K. Liu Optimal Mesh Size for Inverse Medium Scattering Problems
2018-36	PDFfile_download	A. Jentzen and F. Lindner and P. Pušnik On the Alekseev-Gröbner formula in Banach spaces
2018-35	PDFfile_download	X. Claeys and R. Hiptmair First-Kind Galerkin Boundary Element Methods for the Hodge-Laplacian in Three Dimensions Revised 1: October 2019
2018-34	PDFfile_download	A. Jentzen and D. Salimova and T. Welti A proof that deep artificial neural networks overcome the curse of dimensionality in the numerical approximation of Kolmogorov partial differential equations with constant diffusion and nonlinear drift coefficients
2018-33	PDFfile_download	D. Elbrächter and Ph. Grohs and A. Jentzen and Ch. Schwab DNN Expression Rate Analysis of High-dimensional PDEs: Application to Option Pricing
2018-32	PDFfile_download	Ph. Grohs and F. Hornung and A. Jentzen and Ph. von Wurstemberger A proof that artificial neural networks overcome the curse of dimensionality in the numerical approximation of Black-Scholes partial differential equations
2018-31	PDFfile_download	J. Berner and Ph. Grohs and A. Jentzen Analysis of the generalization error: Empirical risk minimization over deep artificial neural networks overcomes the curse of dimensionality in the numerical approximation of Black-Scholes partial differential equations
2018-30	PDFfile_download	H. Ammari and B. Jin and W. Zhang Linearized Reconstruction for Diffuse Optical Spectroscopic Imaging
2018-29	PDFfile_download	M. Feischl and Ch. Schwab Exponential convergence in H 1 of hp-FEM for Gevrey regularity with isotropic singularities
2018-28	PDFfile_download	S. Mishra A machine learning framework for data driven acceleration of computations of differential equations
2018-27	PDFfile_download	L. Grosheintz-Laval and R. Käppeli High-order well-balanced finite volume schemes for the Euler equations with gravitation
2018-26	PDFfile_download	S. Yu and H. Ammari Hybridization of Singular Plasmons via Transformation Optics Revised 1: July 2018 Revised 2: July 2018 Revised 3: July 2018 Revised 4: July 2018
2018-25	PDFfile_download	H. Ammari and M. Putinar and A. Steenkamp and F. Triki Identification of an algebraic domain in two dimensions from a finite number of its generalized polarization tensors
2018-24	PDFfile_download	A. Scapin Electrosensing of inhomogeneous targets Revised 1: June 2018
2018-23	PDFfile_download	L. Baldassari Scattering Coefficients of Inhomogeneous Objects and Their Application in Target Classification in Wave Imaging Revised 1: June 2018
2018-22	PDFfile_download	J. Dick and M. Feischl and Ch. Schwab Improved Efficiency of a Multi-Index FEM for Computational Uncertainty Quantification Revised 1: February 2019
2018-21	PDFfile_download	Ch. Beck and S. Becker and Ph. Grohs and A. Jentzen Solving stochastic differential equations and Kolmogorov equations by means of deep learning
2018-20	PDFfile_download	H. Ammari and E. Bretin and P. Millien and L. Seppecher A direct linear inversion for discontinuous elastic parameters recovery from internal displacement information only
2018-19	PDFfile_download	R. Alaifari and P. Grohs Gabor phase retrieval is severely ill-posed
2018-18	PDFfile_download	H. Ammari and P. Millien Shape and size dependence of dipolar plasmonic resonance of nanoparticles Revised 1: July 2018
2018-17	PDFfile_download	K. Colaneri and Z. Eksi and R. Frey and M. Szölgyenyi Optimal Liquidation under Partial Information with Price Impact Revised 1: July 2019
2018-16	PDFfile_download	H. Ammari and K. Imeri and W. Wu Wave-Field Shaping in Cavities by Tunable Metasurfaces
2018-15	PDFfile_download	R. Alaifari and G.S. Alberti and T. Gauksson ADef: an Iterative Algorithm to Construct Adversarial Deformations
2018-14	PDFfile_download	S. Becker and P. Cheridito and A. Jentzen Deep optimal stopping
2018-13	PDFfile_download	D. Casati and R. Hiptmair and J. Smajic Coupling Finite Elements and Auxiliary Sources for Maxwell's Equations Revised 1: October 2019
2018-12	PDFfile_download	A. Jentzen and Ph. von Wurstemberger Lower error bounds for the stochastic gradient descent optimization algorithm: Sharp convergence rates for slowly and fast decaying learning rates
2018-11	PDFfile_download	L. Herrmann and Ch. Schwab and J. Zech Uncertainty Quantification for Spectral Fractional Diffusion: Sparsity Analysis of Parametric Solutions
2018-10	PDFfile_download	H. Ammari and B. Fitzpatrick and E. Ovehed Hiltunen and S. Yu Subwavelength localized modes for acoustic waves in bubbly crystals with a defect Revised 1: March 2019
2018-09	PDFfile_download	G. Alberti and H. Ammari and F. Romero and T. Wintz Dynamic Spike Super-resolution and Applications to Ultrafast Ultrasound Imaging
2018-08	PDFfile_download	H. Ammari and D. Choi and S. Yu A mathematical and numerical framework for near-field optics
2018-07	PDFfile_download	H. Ammari and D.P. Challa and A.P. Choudhury and M. Sini The point-interaction approximation for the fields generated by contrasted bubbles at arbitrary fixed frequencies
2018-06	PDFfile_download	A. Neuenkirch and M. Szölgyenyi and L. Szpruch An adaptive Euler-Maruyama scheme for stochastic differential equations with discontinuous drift and its convergence analysis Revised 1: May 2019
2018-05	PDFfile_download	J. Zech and D. Dung and Ch. Schwab Multilevel approximation of parametric and stochastic PDEs
2018-04	PDFfile_download	D. Casati and R. Hiptmair Coupling Finite Elements and Auxiliary Sources Revised 1: February 2018 Revised 2: February 2018 Revised 3: October 2019
2018-03	PDFfile_download	A. Jentzen and B. Kuckuck and A. Neufeld and P. von Wurstemberger Strong error analysis for stochastic gradient descent optimization algorithms
2018-02	PDFfile_download	F. Müller and D. Schötzau and Ch. Schwab Discontinuous Galerkin methods for acoustic wave propagation in polygons
2018-01	PDFfile_download	D. Devaud Space-time hp-approximation of parabolic equations in H 1/2 Revised 1: September 2019

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