Numerical evaluation of singular and finite-part integrals on curved surfaces using symbolic manipulation. - Ralf Kieser; Christoph Schwab; Wolfgang L. Wendland (Computing, 1992)

Variable order composite quadrature of singular and nearly singular integrals. - Christoph Schwab (Computing, 1994)

The p and hp versions of the finite element method for problems with boundary layers. - Christoph Schwab; Manil Suri (Math. Comput., 1996)

On the extraction technique in boundary integral equations. - Christoph Schwab; Wolfgang L. Wendland (Math. Comput., 1999)

Mixed hp-FEM on anisotropic meshes II: Hanging nodes and tensor products of boundary layer meshes. - Dominik Schötzau; Christoph Schwab; Rolf Stenberg (Numerische Mathematik, 1999)

Wavelet Galerkin Algorithms for Boundary Integral Equations. - Christian Lage; Christoph Schwab (SIAM J. Sci. Comput., 1999)

Spectral Galerkin Discretization for Hydrodynamic Stability Problems. - Jens Markus Melenk; N. P. Kirchner; Christoph Schwab (Computing, 2000)

Generalized p-FEM in homogenization. - Ana-Maria Matache; Ivo Babuska; Christoph Schwab (Numerische Mathematik, 2000)

Stabilized hp-Finite Element Methods for First-Order Hyperbolic Problems. - Paul Houston; Christoph Schwab; Endre Süli (SIAM J. Numer. Anal., 2000)

Time Discretization of Parabolic Problems by the HP-Version of the Discontinuous Galerkin Finite Element Method. - Dominik Schötzau; Christoph Schwab (SIAM J. Numer. Anal., 2000)

Optimal a priori error estimates for the hp-version of the local discontinuous Galerkin method for convection-diffusion problems. - Paul Castillo 001; Bernardo Cockburn; Dominik Schötzau; Christoph Schwab (Math. Comput., 2002)

Boundary element methods for Maxwell's equations on non-smooth domains. - Annalisa Buffa; Martin Costabel; Christoph Schwab (Numerische Mathematik, 2002)

Local Discontinuous Galerkin Methods for the Stokes System. - Bernardo Cockburn; Guido Kanschat; Dominik Schötzau; Christoph Schwab (SIAM J. Numer. Anal., 2002)

Natural Boundary Element Methods for the Electric Field Integral Equation on Polyhedra. - Ralf Hiptmair; Christoph Schwab (SIAM J. Numer. Anal., 2002)

Discontinuous hp-Finite Element Methods for Advection-Diffusion-Reaction Problems. - Paul Houston; Christoph Schwab; Endre Süli (SIAM J. Numer. Anal., 2002)

Mixed hp-DGFEM for Incompressible Flows. - Dominik Schötzau; Christoph Schwab; Andrea Toselli (SIAM J. Numer. Anal., 2002)

Higher-Order Convex Approximations of Young Measures in Optimal Control. - Ana-Maria Matache; Tomás Roubícek; Christoph Schwab (Adv. Comput. Math., 2003)

Sparse Finite Elements for Stochastic Elliptic Problems - Higher Order Moments. - Christoph Schwab; Radu Alexandru Todor (Computing, 2003)

On some aspects of the discontinuous Galerkin finite element method for conservation laws. - Vít Dolejsí; Miloslav Feistauer; Christoph Schwab (Math. Comput. Simul., 2003)

Boundary Element Methods for Maxwell Transmission Problems in Lipschitz Domains. - Annalisa Buffa; Ralf Hiptmair; Tobias von Petersdorff; Christoph Schwab (Numerische Mathematik, 2003)

Sparse finite elements for elliptic problems with stochastic loading. - Christoph Schwab; Radu Alexandru Todor (Numerische Mathematik, 2003)

Mixed HP-finite element approximations on geometric edge and boundary layer meshes in three dimensions. - Andrea Toselli; Christoph Schwab (Numerische Mathematik, 2003)

Wavelet Discretizations of Parabolic Integrodifferential Equations. - Tobias von Petersdorff; Christoph Schwab (SIAM J. Numer. Anal., 2003)

Multiresolution weighted norm equivalences and applications. - Sven Beuchler; Reinhold Schneider; Christoph Schwab (Numerische Mathematik, 2004)

Heterogeneous Multiscale FEM for Diffusion Problems on Rough Surfaces. - Assyr Abdulle; Christoph Schwab (Multiscale Model. Simul., 2005)

High-Dimensional Finite Elements for Elliptic Problems with Multiple Scales. - Viet Ha Hoang; Christoph Schwab (Multiscale Model. Simul., 2005)

Fast Numerical Solution of Parabolic Integrodifferential Equations with Applications in Finance. - Ana-Maria Matache; Christoph Schwab; Thomas P. Wihler (SIAM J. Sci. Comput., 2005)

Karhunen-Loève approximation of random fields by generalized fast multipole methods. - Christoph Schwab; Radu Alexandru Todor (J. Comput. Phys., 2006)

Linear Complexity Solution of Parabolic Integro-differential Equations. - Ana-Maria Matache; Christoph Schwab; Thomas P. Wihler (Numerische Mathematik, 2006)

Wavelet Filtering for Exact Controllability of the Wave Equation. - Mihaela Negreanu; Ana-Maria Matache; Christoph Schwab (SIAM J. Sci. Comput., 2006)

Sparse adaptive finite elements for radiative transfer. - Gisela Widmer; Ralf Hiptmair; Christoph Schwab (J. Comput. Phys., 2008)

Adaptive wavelet algorithms for elliptic PDE's on product domains. - Christoph Schwab; Rob P. Stevenson (Math. Comput., 2008)

Multilevel frames for sparse tensor product spaces. - Helmut Harbrecht; Reinhold Schneider; Christoph Schwab (Numerische Mathematik, 2008)

Sparse second moment analysis for elliptic problems in stochastic domains. - Helmut Harbrecht; Reinhold Schneider; Christoph Schwab (Numerische Mathematik, 2008)

Numerical methods for Lévy processes. - Norbert Hilber; Nils Reich; Christoph Schwab; Christoph Winter (Finance Stochastics, 2009)

Space-time adaptive wavelet methods for parabolic evolution problems. - Christoph Schwab; Rob P. Stevenson (Math. Comput., 2009)

Sparse Tensor Discretization of Elliptic sPDEs. - Marcel Bieri; Roman Andreev; Christoph Schwab (SIAM J. Sci. Comput., 2009)

Convergence Rates of Best N-term Galerkin Approximations for a Class of Elliptic sPDEs. - Albert Cohen 002; Ronald A. DeVore; Christoph Schwab (Found. Comput. Math., 2010)

On Kolmogorov equations for anisotropic multivariate Lévy processes. - Nils Reich; Christoph Schwab; Christoph Winter (Finance Stochastics, 2010)

Static Load Balancing for Multi-level Monte Carlo Finite Volume Solvers. - Jonas Sukys; Siddhartha Mishra; Christoph Schwab (PPAM (1), 2011)

Sparse tensor discretizations of high-dimensional parametric and stochastic PDEs. - Christoph Schwab; Claude Jeffrey Gittelson (Acta Numer., 2011)

Sparse Discrete Ordinates Method in Radiative Transfer. - Konstantin Grella; Christoph Schwab (Comput. Methods Appl. Math., 2011)

A multiscale hp-FEM for 2D photonic crystal bands. - Holger Brandsmeier; Kersten Schmidt; Christoph Schwab (J. Comput. Phys., 2011)

Sparse tensor spherical harmonics approximation in radiative transfer. - Konstantin Grella; Christoph Schwab (J. Comput. Phys., 2011)

Multi-level Monte Carlo Finite Element method for elliptic PDEs with stochastic coefficients. - Andrea Barth; Christoph Schwab; Nathaniel Zollinger (Numerische Mathematik, 2011)

Fast evaluation of nonlinear functionals of tensor product wavelet expansions. - Christoph Schwab; Rob Stevenson 001 (Numerische Mathematik, 2011)

Tensor-Structured Galerkin Approximation of Parametric and Stochastic Elliptic PDEs. - Boris N. Khoromskij; Christoph Schwab (SIAM J. Sci. Comput., 2011)

Combining and extending concepts of single display groupware and tangible user interfaces for intuitive collaboration. - Christoph Schwab (2011)

Sparse Approximation Algorithms for High Dimensional Parametric Initial Value Problems. - Markus Hansen; Claudia Schillings; Christoph Schwab (HPSC, 2012)

Multi-level Monte Carlo finite volume methods for nonlinear systems of conservation laws in multi-dimensions. - Siddhartha Mishra; Christoph Schwab; Jonas Sukys (J. Comput. Phys., 2012)

Sparse tensor multi-level Monte Carlo finite volume methods for hyperbolic conservation laws with random initial data. - Siddhartha Mishra; Christoph Schwab (Math. Comput., 2012)

Exponential Convergence of Gauss-Jacobi Quadratures for Singular Integrals over Simplices in Arbitrary Dimension. - Alexey Chernov; Christoph Schwab (SIAM J. Numer. Anal., 2012)

Adaptive Petrov-Galerkin Methods for First Order Transport Equations. - Wolfgang Dahmen; Chunyan Huang; Christoph Schwab; Gerrit Welper (SIAM J. Numer. Anal., 2012)

Quasi-Monte Carlo Finite Element Methods for a Class of Elliptic Partial Differential Equations with Random Coefficients. - Frances Y. Kuo; Christoph Schwab; Ian H. Sloan (SIAM J. Numer. Anal., 2012)

Multilevel Monte Carlo Finite Volume Methods for Shallow Water Equations with Uncertain Topography in Multi-dimensions. - Siddhartha Mishra; Christoph Schwab; Jonas Sukys (SIAM J. Sci. Comput., 2012)

Multilevel Monte Carlo Methods for Stochastic Elliptic Multiscale PDEs. - Assyr Abdulle; Andrea Barth; Christoph Schwab (Multiscale Model. Simul., 2013)

First order k-th moment finite element analysis of nonlinear operator equations with stochastic data. - Alexey Chernov; Christoph Schwab (Math. Comput., 2013)

The multi-level Monte Carlo finite element method for a stochastic Brinkman Problem. - Claude Jeffrey Gittelson; Juho Könnö; Christoph Schwab; Rolf Stenberg (Numerische Mathematik, 2013)

Analytic Regularity and GPC Approximation for Control Problems Constrained by Linear Parametric Elliptic and Parabolic PDEs. - Angela Kunoth; Christoph Schwab (SIAM J. Control. Optim., 2013)

Sparse Tensor Galerkin Discretization of Parametric and Random Parabolic PDEs - Analytic Regularity and Generalized Polynomial Chaos Approximation. - Viet Ha Hoang; Christoph Schwab (SIAM J. Math. Anal., 2013)

hp-dGFEM for Second-Order Elliptic Problems in Polyhedra I: Stability on Geometric Meshes. - Dominik Schötzau; Christoph Schwab; Thomas P. Wihler (SIAM J. Numer. Anal., 2013)

hp-DGFEM for Second Order Elliptic Problems in Polyhedra II: Exponential Convergence. - Dominik Schötzau; Christoph Schwab; Thomas P. Wihler (SIAM J. Numer. Anal., 2013)

Multi-level Monte Carlo Finite Volume Methods for Uncertainty Quantification in Nonlinear Systems of Balance Laws. - Siddhartha Mishra; Christoph Schwab; Jonas Sukys (Uncertainty Quantification in Computational Fluid Dynamics, 2013)

Multilevel Monte Carlo Simulation of Statistical Solutions to the Navier-Stokes Equations. - Andrea Barth; Christoph Schwab; Jonas Sukys (MCQMC, 2014)

Computational Higher Order Quasi-Monte Carlo Integration. - Robert N. Gantner; Christoph Schwab (MCQMC, 2014)

High-order finite element approximation for partial differential equations. - Alexey Chernov; Christoph Schwab (Comput. Math. Appl., 2014)

High-Dimensional Adaptive Sparse Polynomial Interpolation and Applications to Parametric PDEs. - Abdellah Chkifa; Albert Cohen 002; Christoph Schwab (Found. Comput. Math., 2014)

Optimality of adaptive Galerkin methods for random parabolic partial differential equations. - Claude Jeffrey Gittelson; Roman Andreev; Christoph Schwab (J. Comput. Appl. Math., 2014)

Direct Solution of the Chemical Master Equation Using Quantized Tensor Trains. - Vladimir A. Kazeev; Mustafa Khammash; Michael Nip; Christoph Schwab (PLoS Comput. Biol., 2014)

Higher Order QMC Petrov-Galerkin Discretization for Affine Parametric Operator Equations with Random Field Inputs. - Josef Dick; Frances Y. Kuo; Quoc Thong Le Gia; Dirk Nuyens; Christoph Schwab (SIAM J. Numer. Anal., 2014)

Multilevel Monte Carlo Finite Element Methods for Stochastic Elliptic Variational Inequalities. - Ralf Kornhuber; Christoph Schwab; Maren-Wanda Wolf (SIAM J. Numer. Anal., 2014)

Multi-level Quasi-Monte Carlo Finite Element Methods for a Class of Elliptic PDEs with Random Coefficients. - Frances Y. Kuo; Christoph Schwab; Ian H. Sloan (Found. Comput. Math., 2015)

Finite Elements with mesh refinement for wave equations in polygons. - Fabian L. Müller; Christoph Schwab (J. Comput. Appl. Math., 2015)

Intrinsic fault tolerance of multilevel Monte Carlo methods. - Stefan Pauli; Peter Arbenz; Christoph Schwab (J. Parallel Distributed Comput., 2015)

Quadrature algorithms for high dimensional singular integrands on simplices. - Alexey Chernov; Tobias von Petersdorff; Christoph Schwab (Numer. Algorithms, 2015)

Quasi-Monte Carlo finite element methods for elliptic PDEs with lognormal random coefficients. - Ivan G. Graham; Frances Y. Kuo; James A. Nichols; Robert Scheichl; Christoph Schwab; Ian H. Sloan (Numerische Mathematik, 2015)

Efficient Characterization of Parametric Uncertainty of Complex (Bio)chemical Networks. - Claudia Schillings; Mikael Sunnåker; Jörg Stelling; Christoph Schwab (PLoS Comput. Biol., 2015)

Tensor Approximation of Stationary Distributions of Chemical Reaction Networks. - Vladimir A. Kazeev; Christoph Schwab (SIAM J. Matrix Anal. Appl., 2015)

Fast QMC Matrix-Vector Multiplication. - Josef Dick; Frances Y. Kuo; Quoc Thong Le Gia; Christoph Schwab (SIAM J. Sci. Comput., 2015)

Sparse-grid, reduced-basis Bayesian inversion: Nonaffine-parametric nonlinear equations. - Peng Chen 024; Christoph Schwab (J. Comput. Phys., 2016)

Multi-level Monte Carlo finite volume methods for uncertainty quantification of acoustic wave propagation in random heterogeneous layered medium. - Siddhartha Mishra; Christoph Schwab; Jonas Sukys (J. Comput. Phys., 2016)

Higher Order Quasi-Monte Carlo Integration for Holomorphic, Parametric Operator Equations. - Josef Dick; Quoc Thong Le Gia; Christoph Schwab (SIAM/ASA J. Uncertain. Quantification, 2016)

Sparse Adaptive Tensor Galerkin Approximations of Stochastic PDE-Constrained Control Problems. - Angela Kunoth; Christoph Schwab (SIAM/ASA J. Uncertain. Quantification, 2016)

Numerical Solution of Scalar Conservation Laws with Random Flux Functions. - Siddhartha Mishra; Nils Henrik Risebro; Christoph Schwab; Svetlana V. Tokareva (SIAM/ASA J. Uncertain. Quantification, 2016)

hp-dGFEM for second-order mixed elliptic problems in polyhedra. - Dominik Schötzau; Christoph Schwab; Thomas P. Wihler (Math. Comput., 2016)

Multilevel Higher Order QMC Petrov-Galerkin Discretization for Affine Parametric Operator Equations. - Josef Dick; Frances Y. Kuo; Quoc Thong Le Gia; Christoph Schwab (SIAM J. Numer. Anal., 2016)

QTT-finite-element approximation for multiscale problems I: model problems in one dimension. - Vladimir A. Kazeev; Ivan V. Oseledets; Maksim Rakhuba; Christoph Schwab (Adv. Comput. Math., 2017)

Multilevel Quasi-Monte Carlo methods for lognormal diffusion problems. - Frances Y. Kuo; Robert Scheichl; Christoph Schwab; Ian H. Sloan; Elisabeth Ullmann (Math. Comput., 2017)

Compressive sensing Petrov-Galerkin approximation of high-dimensional parametric operator equations. - Holger Rauhut; Christoph Schwab (Math. Comput., 2017)

Covariance regularity and ( mathcal {H} ) -matrix approximation for rough random fields. - Jürgen Dölz; Helmut Harbrecht; Christoph Schwab (Numerische Mathematik, 2017)

Fractional Space-Time Variational Formulations of (Navier-) Stokes Equations. - Christoph Schwab; Rob Stevenson 001 (SIAM J. Math. Anal., 2017)

Fully Discrete Approximation of Parametric and Stochastic Elliptic PDEs. - Markus Bachmayr; Albert Cohen 002; Dinh Dung; Christoph Schwab (SIAM J. Numer. Anal., 2017)

Symmetric Interior Penalty Discontinuous Galerkin Methods for Elliptic Problems in Polygons. - Fabian L. Müller; Dominik Schötzau; Christoph Schwab (SIAM J. Numer. Anal., 2017)

Large deformation shape uncertainty quantification in acoustic scattering. - Ralf Hiptmair; Laura Scarabosio; Claudia Schillings; Christoph Schwab (Adv. Comput. Math., 2018)

Exponential Convergence of hp-FEM for Elliptic Problems in Polyhedra: Mixed Boundary Conditions and Anisotropic Polynomial Degrees. - Dominik Schötzau; Christoph Schwab (Found. Comput. Math., 2018)

Adaptive anisotropic Petrov-Galerkin methods for first order transport equations. - Wolfgang Dahmen; Gitta Kutyniok; Wang-Q Lim; Christoph Schwab; Gerrit Welper (J. Comput. Appl. Math., 2018)

Discontinuous Galerkin Methods for Acoustic Wave Propagation in Polygons. - Fabian L. Mueller; Dominik Schötzau; Christoph Schwab (J. Sci. Comput., 2018)

Quantized tensor-structured finite elements for second-order elliptic PDEs in two dimensions. - Vladimir A. Kazeev; Christoph Schwab (Numerische Mathematik, 2018)

Shape Holomorphy of the Stationary Navier-Stokes Equations. - Albert Cohen 002; Christoph Schwab; Jakob Zech (SIAM J. Math. Anal., 2018)

Quasi-Monte Carlo Integration for Affine-Parametric, Elliptic PDEs: Local Supports and Product Weights. - Robert N. Gantner; Lukas Herrmann; Christoph Schwab (SIAM J. Numer. Anal., 2018)

Higher order Quasi-Monte Carlo integration for Bayesian PDE Inversion. - Josef Dick; Robert N. Gantner; Quoc Thong Le Gia; Christoph Schwab (Comput. Math. Appl., 2019)

Tensor FEM for Spectral Fractional Diffusion. - Lehel Banjai; Jens Markus Melenk; Ricardo H. Nochetto; Enrique Otárola; Abner J. Salgado; Christoph Schwab (Found. Comput. Math., 2019)

Uncertainty Quantification for Spectral Fractional Diffusion: Sparsity Analysis of Parametric Solutions. - Lukas Herrmann; Christoph Schwab; Jakob Zech (SIAM/ASA J. Uncertain. Quantification, 2019)

QMC integration for lognormal-parametric, elliptic PDEs: local supports and product weights. - Lukas Herrmann; Christoph Schwab (Numerische Mathematik, 2019)

Improved Efficiency of a Multi-Index FEM for Computational Uncertainty Quantification. - Josef Dick; Michael Feischl; Christoph Schwab (SIAM J. Numer. Anal., 2019)

Space-time discontinuous Galerkin approximation of acoustic waves with point singularities. - Pratyuksh Bansal; Andrea Moiola; Ilaria Perugia; Christoph Schwab (CoRR, 2020)

hp-FEM for reaction-diffusion equations II. Robust exponential convergence for multiple length scales in corner domains. - Lehel Banjai; Jens Markus Melenk; Christoph Schwab (CoRR, 2020)

Domain Uncertainty Quantification in Computational Electromagnetics. - Rubén Aylwin; Carlos Jerez-Hanckes; Christoph Schwab; Jakob Zech (SIAM/ASA J. Uncertain. Quantification, 2020)

Exponential convergence in (H^1 ) of hp-FEM for Gevrey regularity with isotropic singularities. - Michael Feischl; Christoph Schwab (Numerische Mathematik, 2020)

Analytic Regularity for the Incompressible Navier-Stokes Equations in Polygons. - Carlo Marcati; Christoph Schwab (SIAM J. Math. Anal., 2020)

Deep ReLU Network Expression Rates for Option Prices in high-dimensional, exponential Lévy models. - Lukas Gonon; Christoph Schwab (CoRR, 2021)

Deep ReLU Neural Network Approximation for Stochastic Differential Equations with Jumps. - Lukas Gonon; Christoph Schwab (CoRR, 2021)

Deep Learning in High Dimension: Neural Network Approximation of Analytic Functions in L2(Rd, γd). - Christoph Schwab; Jakob Zech (CoRR, 2021)

Weighted analytic regularity for the integral fractional Laplacian in polygons. - Markus Faustmann; Carlo Marcati; Jens Markus Melenk; Christoph Schwab (CoRR, 2021)

Multilevel Markov Chain Monte Carlo for Bayesian Inversion of Parabolic Partial Differential Equations under Gaussian Prior. - Viet Ha Hoang; Jia Hao Quek; Christoph Schwab (SIAM/ASA J. Uncertain. Quantification, 2021)

Quasi-Monte Carlo Bayesian estimation under Besov priors in elliptic inverse problems. - Lukas Herrmann; Magdalena Keller; Christoph Schwab (Math. Comput., 2021)

DeepCME: A deep learning framework for computing solution statistics of the chemical master equation. - Ankit Gupta 013; Christoph Schwab; Mustafa Khammash (PLoS Comput. Biol., 2021)

Higher-Order Quasi-Monte Carlo Training of Deep Neural Networks. - Marcello Longo; Siddhartha Mishra; T. Konstantin Rusch; Christoph Schwab (SIAM J. Sci. Comput., 2021)

Tensor rank bounds for point singularities in ℝ3. - Carlo Marcati; Maksim Rakhuba; Christoph Schwab (Adv. Comput. Math., 2022)

Analyticity and sparsity in uncertainty quantification for PDEs with Gaussian random field inputs. - Dinh Dung; Van Kien Nguyen; Christoph Schwab; Jakob Zech (CoRR, 2022)

De Rham compatible Deep Neural Networks. - Marcello Longo; Joost A. A. Opschoor; Nico Disch; Christoph Schwab; Jakob Zech (CoRR, 2022)

Exponential Convergence of hp-Time-Stepping in Space-Time Discretizations of Parabolic PDEs. - Ilaria Perugia; Christoph Schwab; Marco Zank (CoRR, 2022)

Exponential convergence of hp-FEM for the integral fractional Laplacian in 1D. - Markus Faustmann; Carlo Marcati; Jens Markus Melenk; Christoph Schwab (CoRR, 2022)

Neural and gpc operator surrogates: construction and expression rate bounds. - Lukas Herrmann; Christoph Schwab; Jakob Zech (CoRR, 2022)

Monte Carlo convergence rates for kth moments in Banach spaces. - Kristin Kirchner; Christoph Schwab (CoRR, 2022)

Multilevel Domain Uncertainty Quantification in Computational Electromagnetics. - Rubén Aylwin; Carlos Jerez-Hanckes; Christoph Schwab; Jakob Zech (CoRR, 2022)

Constructive Deep ReLU Neural Network Approximation. - Lukas Herrmann; Joost A. A. Opschoor; Christoph Schwab (J. Sci. Comput., 2022)

Extrapolated Polynomial Lattice Rule Integration in Computational Uncertainty Quantification. - Josef Dick; Marcello Longo; Christoph Schwab (SIAM/ASA J. Uncertain. Quantification, 2022)

Quantized Tensor FEM for Multiscale Problems: Diffusion Problems in Two and Three Dimensions. - Vladimir A. Kazeev; Ivan V. Oseledets; Maxim V. Rakhuba; Christoph Schwab (Multiscale Model. Simul., 2022)

A-posteriori QMC-FEM error estimation for Bayesian inversion and optimal control with entropic risk measure. - Marcello Longo; Christoph Schwab; Andreas Stein (CoRR, 2023)

Multilevel Monte Carlo FEM for Elliptic PDEs with Besov Random Tree Priors. - Christoph Schwab; Andreas Stein (CoRR, 2023)

Deep Operator Network Approximation Rates for Lipschitz Operators. - Christoph Schwab; Andreas Stein; Jakob Zech (CoRR, 2023)

Weighted analytic regularity for the integral fractional Laplacian in polyhedra. - Markus Faustmann; Carlo Marcati; Jens Markus Melenk; Christoph Schwab (CoRR, 2023)

The Gevrey class implicit mapping theorem with application to UQ of semilinear elliptic PDEs. - Helmut Harbrecht; Marc Schmidlin; Christoph Schwab (CoRR, 2023)

Deep ReLU networks and high-order finite element methods II: Chebyshev emulation. - Joost A. A. Opschoor; Christoph Schwab (CoRR, 2023)

Exponential convergence of hp FEM for spectral fractional diffusion in polygons. - Lehel Banjai; Jens Markus Melenk; Christoph Schwab (Numerische Mathematik, 2023)

Deep Learning in High Dimension: Neural Network Expression Rates for Analytic Functions in ( pmb{L^2( mathbb{R}^d, gamma_d)} ). - Christoph Schwab; Jakob Zech (SIAM/ASA J. Uncertain. Quantification, 2023)

ReLU Neural Network Galerkin BEM. - Rubén Aylwin; Fernando Henríquez; Christoph Schwab (J. Sci. Comput., 2023)

Exponential ReLU Neural Network Approximation Rates for Point and Edge Singularities. - Carlo Marcati; Joost A. A. Opschoor; Philipp Christian Petersen; Christoph Schwab (Found. Comput. Math., 2023)

Exponential Convergence of Deep Operator Networks for Elliptic Partial Differential Equations. - Carlo Marcati; Christoph Schwab (SIAM J. Numer. Anal., 2023)

De Rham compatible Deep Neural Network FEM. - Marcello Longo; Joost A. A. Opschoor; Nico Disch; Christoph Schwab; Jakob Zech (Neural Networks, 2023)

Exponential Convergence of (hp )-FEM for the Integral Fractional Laplacian in Polygons. - Markus Faustmann; Carlo Marcati; Jens Markus Melenk; Christoph Schwab (SIAM J. Numer. Anal., 2023)

Deep ReLU networks and high-order finite element methods II: Chebyšev emulation. - Joost A. A. Opschoor; Christoph Schwab (Comput. Math. Appl., 2024)

Neural Networks for Singular Perturbations. - Joost A. A. Opschoor; Christoph Schwab; Christos Xenophontos (CoRR, 2024)

Wavelet compressed, modified Hilbert transform in the space-time discretization of the heat equation. - Helmut Harbrecht; Christoph Schwab; Marco Zank (CoRR, 2024)

Exponential Expressivity of ReLUk Neural Networks on Gevrey Classes with Point Singularities. - Joost A. A. Opschoor; Christoph Schwab (CoRR, 2024)

Exponential Convergence of hp-ILGFEM for semilinear elliptic boundary value problems with monomial reaction. - Yanchen He; Paul Houston; Christoph Schwab; Thomas P. Wihler (CoRR, 2024)

Deep ReLU Neural Network Emulation in High-Frequency Acoustic Scattering. - Fernando Henríquez; Christoph Schwab (CoRR, 2024)

Frequency-Explicit Shape Holomorphy in Uncertainty Quantification for Acoustic Scattering. - Ralf Hiptmair; Christoph Schwab; Euan A. Spence (CoRR, 2024)

Expression Rates of Neural Operators for Linear Elliptic PDEs in Polytopes. - Carlo Marcati; Christoph Schwab (CoRR, 2024)

First Order System Least Squares Neural Networks. - Joost A. A. Opschoor; Philipp Christian Petersen; Christoph Schwab (CoRR, 2024)

Analytic Regularity of Solutions to the Navier-Stokes Equations with Mixed Boundary Conditions in Polygons. - Yanchen He; Carlo Marcati; Christoph Schwab (SIAM J. Math. Anal., 2024)

Multiresolution kernel matrix algebra. - Helmut Harbrecht; Michael D. Multerer; Olaf Schenk; Christoph Schwab (Numerische Mathematik, 2024)

Neural and spectral operator surrogates: unified construction and expression rate bounds. - Lukas Herrmann; Christoph Schwab; Jakob Zech (Adv. Comput. Math., 2024)

Multilevel approximation of Gaussian random fields: Covariance compression, estimation, and spatial prediction. - Helmut Harbrecht; Lukas Herrmann; Kristin Kirchner; Christoph Schwab (Adv. Comput. Math., 2024)

Sparsity for Infinite-Parametric Holomorphic Functions on Gaussian Spaces. - Carlo Marcati; Christoph Schwab; Jakob Zech (CoRR, 2025)

Quantum Circuit Encodings of Polynomial Chaos Expansions. - Junaid Aftab; Christoph Schwab; Haizhao Yang; Jakob Zech (CoRR, 2025)