Christoph Schwab

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All published works

Action	Title	Year	Authors
+ PDF Chat	First Order System Least Squares Neural Networks	2024	Joost A. A. Opschoor Philipp Petersen Christoph Schwab
+ PDF Chat	Expression Rates of Neural Operators for Linear Elliptic PDEs in Polytopes	2024	Carlo Marcati Christoph Schwab
+ PDF Chat	Exponential expressivity of ${\rm ReLU}^k$ neural networks on Gevrey classes with point singularities	2024	Joost A. A. Opschoor Christoph Schwab
+ PDF Chat	Frequency-Explicit Shape Holomorphy in Uncertainty Quantification for Acoustic Scattering	2024	Ralf Hiptmair Christoph Schwab Euan A. Spence
+	Deep ReLU networks and high-order finite element methods II: Chebyšev emulation	2024	Joost A. A. Opschoor Christoph Schwab
+ PDF Chat	Deep ReLU Neural Network Emulation in High-Frequency Acoustic Scattering	2024	Fernando Henríquez Christoph Schwab
+ PDF Chat	Exponential Convergence of $hp$-ILGFEM for semilinear elliptic boundary value problems with monomial reaction	2024	Yanchen He Paul Houston Christoph Schwab Thomas P. Wihler
+	Analytic Regularity of Solutions to the Navier–Stokes Equations with Mixed Boundary Conditions in Polygons	2024	Yanchen He Carlo Marcati Christoph Schwab
+ PDF Chat	Exponential Expressivity of ReLU$^k$ Neural Networks on Gevrey Classes with Point Singularities	2024	Joost A. A. Opschoor Christoph Schwab
+ PDF Chat	Wavelet compressed, modified Hilbert transform in the space-time discretization of the heat equation	2024	Helmut Harbrecht Christoph Schwab Marco Zank
+	The Gevrey class implicit mapping theorem with application to UQ of semilinear elliptic PDEs	2024	Helmut Harbrecht Marc Schmidlin Christoph Schwab
+ PDF Chat	Analytic regularity and solution approximation for a semilinear elliptic partial differential equation in a polygon	2024	Yanchen He Christoph Schwab
+	Neural Networks for Singular Perturbations	2024	Joost A. A. Opschoor Christoph Schwab Christos Xenophontos
+ PDF Chat	Exponential Convergence of $hp$-FEM for the Integral Fractional Laplacian in Polygons	2023	Markus Faustmann Carlo Marcati Jens Markus Melenk Christoph Schwab
+	Monte Carlo convergence rates for kth moments in Banach spaces	2023	Kristin Kirchner Christoph Schwab
+ PDF Chat	Multilevel Monte Carlo FEM for elliptic PDEs with Besov random tree priors	2023	Christoph Schwab Andreas Stein
+ PDF Chat	Exponential Convergence of Deep Operator Networks for Elliptic Partial Differential Equations	2023	Carlo Marcati Christoph Schwab
+	De Rham compatible Deep Neural Network FEM	2023	Marcello Longo Joost A. A. Opschoor Nico Disch Christoph Schwab Jakob Zech
+ PDF Chat	Multilevel domain uncertainty quantification in computational electromagnetics	2023	Rubén Aylwin Carlos Jerez-Hanckes Christoph Schwab Jakob Zech
+	Deep Learning in High Dimension: Neural Network Expression Rates for Analytic Functions in $\pmb{L^2(\mathbb{R}^d,\gamma_d)}$	2023	Christoph Schwab Jakob Zech
+	A-posteriori QMC-FEM error estimation for Bayesian inversion and optimal control with entropic risk measure	2023	Marcello Longo Christoph Schwab Andreas Stein
+	Multilevel Monte Carlo FEM for Elliptic PDEs with Besov Random Tree Priors	2023	Christoph Schwab Andreas Stein
+	Deep Operator Network Approximation Rates for Lipschitz Operators	2023	Christoph Schwab Andreas Stein Jakob Zech
+	Weighted analytic regularity for the integral fractional Laplacian in polyhedra	2023	Markus Faustmann Carlo Marcati Jens Markus Melenk Christoph Schwab
+	The Gevrey class implicit mapping theorem with application to UQ of semilinear elliptic PDEs	2023	Helmut Harbrecht Marc Schmidlin Christoph Schwab
+	Smolyak Sparse-Grid Interpolation and Quadrature	2023	Đinh Dũng Van Kien Nguyen Christoph Schwab Jakob Zech
+	Elliptic Divergence-Form PDEs with Log-Gaussian Coefficient	2023	Đinh Dũng Van Kien Nguyen Christoph Schwab Jakob Zech
+	Preliminaries	2023	Đinh Dũng Van Kien Nguyen Christoph Schwab Jakob Zech
+	Parametric Posterior Analyticity and Sparsity in BIPs	2023	Đinh Dũng Van Kien Nguyen Christoph Schwab Jakob Zech
+	Multilevel Smolyak Sparse-Grid Interpolation and Quadrature	2023	Đinh Dũng Van Kien Nguyen Christoph Schwab Jakob Zech
+	Conclusions	2023	Đinh Dũng Van Kien Nguyen Christoph Schwab Jakob Zech
+	Sparsity for Holomorphic Functions	2023	Đinh Dũng Van Kien Nguyen Christoph Schwab Jakob Zech
+	Deep ReLU networks and high-order finite element methods II: Chebyshev emulation	2023	Joost A. A. Opschoor Christoph Schwab
+ PDF Chat	<i>hp</i>-FEM for reaction–diffusion equations. II: robust exponential convergence for multiple length scales in corner domains	2022	Lehel Banjai Jens Markus Melenk Christoph Schwab
+ PDF Chat	Exponential convergence of hp FEM for spectral fractional diffusion in polygons	2022	Lehel Banjai Jens Markus Melenk Christoph Schwab
+ PDF Chat	Weighted Analytic Regularity for the Integral Fractional Laplacian in Polygons	2022	Markus Faustmann Carlo Marcati Jens Markus Melenk Christoph Schwab
+ PDF Chat	Exponential Convergence of hp-FEM for the Integral Fractional Laplacian in 1D	2022	Björn Bahr Markus Faustmann Carlo Marcati Jens Markus Melenk Christoph Schwab
+ PDF Chat	Exponential convergence of <i>hp</i>-time-stepping in space-time discretizations of parabolic PDES	2022	Ilaria Perugia Christoph Schwab Marco Zank
+ PDF Chat	Deep ReLU neural networks overcome the curse of dimensionality for partial integrodifferential equations	2022	Lukas Gonon Christoph Schwab
+	Extrapolated Polynomial Lattice Rule Integration in Computational Uncertainty Quantification	2022	Josef Dick Marcello Longo Christoph Schwab
+ PDF Chat	Quantized Tensor FEM for Multiscale Problems: Diffusion Problems in Two and Three Dimensions	2022	Vladimir Kazeev Ivan Oseledets Maxim Rakhuba Christoph Schwab
+ PDF Chat	Exponential ReLU Neural Network Approximation Rates for Point and Edge Singularities	2022	Carlo Marcati Joost A. A. Opschoor Philipp Petersen Christoph Schwab
+ PDF Chat	Deep solution operators for variational inequalities via proximal neural networks	2022	Christoph Schwab Andreas Stein
+	Analyticity and sparsity in uncertainty quantification for PDEs with Gaussian random field inputs	2022	Đinh Dũng Van Kien Nguyen Christoph Schwab Jakob Zech
+	Exponential convergence of hp-FEM for the integral fractional Laplacian in 1D	2022	Markus Faustmann Carlo Marcati Jens Markus Melenk Christoph Schwab
+	Exponential Convergence of $hp$-Time-Stepping in Space-Time Discretizations of Parabolic PDEs	2022	Ilaria Perugia Christoph Schwab Marco Zank
+	Neural and gpc operator surrogates: construction and expression rate bounds	2022	Lukas Herrmann Christoph Schwab Jakob Zech
+	Exponential Convergence of hp FEM for the Integral Fractional Laplacian in Polygons	2022	Markus Faustmann Carlo Marcati Jens Markus Melenk Christoph Schwab
+	Monte Carlo convergence rates for $k$th moments in Banach spaces	2022	Kristin Kirchner Christoph Schwab
+	De Rham compatible Deep Neural Network FEM	2022	Marcello Longo Joost A. A. Opschoor Nico Disch Christoph Schwab Jakob Zech
+	Multilevel Domain Uncertainty Quantification in Computational Electromagnetics	2022	Rubén Aylwin Carlos Jerez-Hanckes Christoph Schwab Jakob Zech
+	Deep Learning in High Dimension: Neural Network Approximation of Analytic Functions in $L^2(\mathbb{R}^d,\gamma_d)$	2021	Christoph Schwab Jakob Zech
+ PDF Chat	Deep Learning in High Dimension: Neural Network Approximation of Analytic Functions in $L^2(\mathbb{R}^d,\gamma_d)$	2021	Christoph Schwab Jakob Zech
+ PDF Chat	Deep ReLU network expression rates for option prices in high-dimensional, exponential Lévy models	2021	Lukas Gonon Christoph Schwab
+	Shape Holomorphy of the Calderón Projector for the Laplacian in $${\mathbb {R}}^2$$	2021	Fernando Henríquez Christoph Schwab
+ PDF Chat	DNN Expression Rate Analysis of High-Dimensional PDEs: Application to Option Pricing	2021	Dennis Elbrächter Philipp Grohs Arnulf Jentzen Christoph Schwab
+	Deep ReLU Neural Network Approximation for Stochastic Differential Equations with Jumps.	2021	Lukas Gonon Christoph Schwab
+	Deep ReLU Network Expression Rates for Option Prices in high-dimensional, exponential L\'evy models	2021	Lukas Gonon Christoph Schwab
+	Multilevel approximation of Gaussian random fields: Covariance compression, estimation and spatial prediction	2021	Helmut Harbrecht Lukas Herrmann Kristin Kirchner Christoph Schwab
+	Multilevel Markov Chain Monte Carlo for Bayesian Inversion of Parabolic Partial Differential Equations under Gaussian Prior	2021	Viêt Hà Hòang Jia Hao Quek Christoph Schwab
+	Deep Learning in High Dimension: Neural Network Approximation of Analytic Functions in L 2 (R d , γ d ).	2021	Christoph Schwab Jakob Zech
+ PDF Chat	Higher-Order Quasi-Monte Carlo Training of Deep Neural Networks	2021	Marcello Longo Siddhartha Mishra T. Konstantin Rusch Christoph Schwab
+	Deep ReLU neural networks overcome the curse of dimensionality for partial integrodifferential equations	2021	Lukas Gonon Christoph Schwab
+	Deep ReLU Network Expression Rates for Option Prices in high-dimensional, exponential Lévy models	2021	Lukas Gonon Christoph Schwab
+	Deep Learning in High Dimension: Neural Network Approximation of Analytic Functions in $L^2(\mathbb{R}^d,γ_d)$	2021	Christoph Schwab Jakob Zech
+	Quasi-Monte Carlo Bayesian estimation under Besov priors in elliptic inverse problems	2020	Lukas Herrmann Magdalena Keller Christoph Schwab
+ PDF Chat	Space–time discontinuous Galerkin approximation of acoustic waves with point singularities	2020	Pratyuksh Bansal Andrea Moiola Ilaria Perugia Christoph Schwab
+	Exponential Convergence of $hp$ FEM for Spectral Fractional Diffusion in Polygons	2020	Lehel Banjai Jens Markus Melenk Christoph Schwab
+	Deep neural network expression of posterior expectations in Bayesian PDE inversion	2020	Lukas Herrmann Christoph Schwab Jakob Zech
+	Multilevel MCMC Bayesian Inversion of Parabolic PDEs under Gaussian Prior	2020	Viêt Há Hoáng Jia Hao Quek Christoph Schwab
+	$hp$-FEM for reaction-diffusion equations II. Robust exponential convergence for multiple length scales in corner domains	2020	Lehel Banjai Jens Markus Melenk Christoph Schwab
+	Space-time discontinuous Galerkin approximation of acoustic waves with point singularities	2020	Pratyuksh Bansal Andrea Moiola Ilaria Perugia Christoph Schwab
+	Space–time discontinuous Galerkin approximation of acoustic waves with point singularities	2020	Pratyuksh Bansal Andrea Moiola Ilaria Perugia Christoph Schwab
+	Convergence rates of high dimensional Smolyak quadrature	2020	Jakob Zech Christoph Schwab
+	Multilevel Quasi-Monte Carlo Uncertainty Quantification for Advection-Diffusion-Reaction	2020	Lukas Herrmann Christoph Schwab
+ PDF Chat	Analytic Regularity for the Incompressible Navier--Stokes Equations in Polygons	2020	Carlo Marcati Christoph Schwab
+	Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018 : Selected Papers from the ICOSAHOM Conference, London, UK, July 9-13, 2018	2020	Spencer J. Sherwin David Moxey J. Peiró Peter Vincent Christoph Schwab
+	Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018	2020	Spencer J. Sherwin David Moxey J. Peiró Peter Vincent Christoph Schwab
+	Exponential ReLU Neural Network Approximation Rates for Point and Edge Singularities	2020	Carlo Marcati Joost A. A. Opschoor Philipp Petersen Christoph Schwab
+	$hp$-FEM for reaction-diffusion equations II. Robust exponential convergence for multiple length scales in corner domains	2020	Lehel Banjai Jens Markus Melenk Christoph Schwab
+	Exponential Convergence of $hp$ FEM for Spectral Fractional Diffusion in Polygons	2020	Lehel Banjai Jens Markus Melenk Christoph Schwab
+	Tensor Rank bounds for Point Singularities in $\mathbb{R}^3$	2019	Carlo Marcati Maxim Rakhuba Christoph Schwab
+	Multilevel approximation of Gaussian random fields: Fast simulation	2019	Lukas Herrmann Kristin Kirchner Christoph Schwab
+	Analysis of a multilevel Markov chain Monte Carlo finite element method for Bayesian inversion of log-normal diffusions	2019	Viêt Há Hoáng Jia Hao Quek Christoph Schwab
+	Multilevel approximation of parametric and stochastic PDES	2019	Jakob Zech Đinh Dũng Christoph Schwab
+ PDF Chat	Improved Efficiency of a Multi-Index FEM for Computational Uncertainty Quantification	2019	Josef Dick Michael Feischl Christoph Schwab
+	Tensor Rank bounds for Point Singularities in R 3 .	2019	Carlo Marcati Maxim Rakhuba Christoph Schwab
+	Tensor Rank bounds for Point Singularities in $\mathbb{R}^3$	2019	Carlo Marcati Maxim Rakhuba Christoph Schwab
+ PDF Chat	Tensor FEM for Spectral Fractional Diffusion	2018	Lehel Banjai Jens Markus Melenk Ricardo H. Nochetto Enrique Otárola Abner J. Salgado Christoph Schwab
+	Higher order Quasi-Monte Carlo integration for Bayesian PDE Inversion	2018	Josef Dick Robert N. Gantner Quôc Thông Lê Gia Christoph Schwab
+	DNN Expression Rate Analysis of High-dimensional PDEs: Application to Option Pricing	2018	Dennis Elbrächter Philipp Grohs Arnulf Jentzen Christoph Schwab
+	QMC integration for lognormal-parametric, elliptic PDEs: local supports and product weights	2018	Lukas Herrmann Christoph Schwab
+	Improved Efficiency of a Multi-Index FEM for Computational Uncertainty Quantification	2018	Josef Dick Michael Feischl Christoph Schwab
+ PDF Chat	Adaptive anisotropic Petrov–Galerkin methods for first order transport equations	2018	Wolfgang Dahmen Gitta Kutyniok Wang‐Q Lim Christoph Schwab Gerrit Welper
+ PDF Chat	Shape Holomorphy of the Stationary Navier--Stokes Equations	2018	Albert Cohen Christoph Schwab Jakob Zech
+	Quasi--Monte Carlo Integration for Affine-Parametric, Elliptic PDEs: Local Supports and Product Weights	2018	Robert N. Gantner Lukas Herrmann Christoph Schwab
+	Multilevel QMC with Product Weights for Affine-Parametric, Elliptic PDEs	2018	Robert N. Gantner Lukas Herrmann Christoph Schwab
+	QMC Algorithms with Product Weights for Lognormal-Parametric, Elliptic PDEs	2018	Lukas Herrmann Christoph Schwab
+	Improved Efficiency of a Multi-Index FEM for Computational Uncertainty Quantification	2018	Josef Dick Michael Feischl Christoph Schwab
+ PDF Chat	Correction to: Multilevel Monte Carlo front-tracking for random scalar conservation laws	2017	Nils Henrik Risebro Christoph Schwab Franziska Weber
+ PDF Chat	Quantized tensor-structured finite elements for second-order elliptic PDEs in two dimensions	2017	Vladimir Kazeev Christoph Schwab
+ PDF Chat	Numerical analysis of lognormal diffusions on the sphere	2017	Lukas Herrmann Annika Lang Christoph Schwab
+ PDF Chat	Multilevel higher-order quasi-Monte Carlo Bayesian estimation	2017	Josef Dick Robert N. Gantner Quôc Thông Lê Gia Christoph Schwab
+	Multi-level Compressed Sensing Petrov-Galerkin discretization of high-dimensional parametric PDEs	2017	Jean-Luc Bouchot Holger Rauhut Christoph Schwab
+	Fractional Space-Time Variational Formulations of (Navier--) Stokes Equations	2017	Christoph Schwab Rob Stevenson
+	MLQMC with product weights for elliptic PDEs with lognormal coefficients parametrized in multiresolution representations	2017	Lukas Herrmann Christoph Schwab
+ PDF Chat	Fully Discrete Approximation of Parametric and Stochastic Elliptic PDEs	2017	Markus Bachmayr Albert Cohen Đinh Dũng Christoph Schwab
+	Multilevel higher order Quasi-Monte Carlo Bayesian Estimation	2016	Josef Dick Robert N. Gantner Quôc Thông Lê Gia Christoph Schwab
+	QTT-finite-element approximation for multiscale problems I: model problems in one dimension	2016	Vladimir Kazeev Ivan Oseledets Maxim Rakhuba Christoph Schwab
+	Multilevel Quasi-Monte Carlo methods for lognormal diffusion problems	2016	Frances Y. Kuo Robert Scheichl Christoph Schwab Ian H. Sloan Elisabeth Ullmann
+ PDF Chat	Scaling limits in computational Bayesian inversion	2016	Claudia Schillings Christoph Schwab
+	Numerical analysis of lognormal diffusions on the sphere	2016	Lukas Herrmann Annika Lang Christoph Schwab
+ PDF Chat	Computational Higher Order Quasi-Monte Carlo Integration	2016	Robert N. Gantner Christoph Schwab
+	Multilevel Monte Carlo Simulation of Statistical Solutions to the Navier–Stokes Equations	2016	Andrea Barth Christoph Schwab Jonas Šukys
+ PDF Chat	Multilevel Higher Order QMC Petrov--Galerkin Discretization for Affine Parametric Operator Equations	2016	Josef Dick Frances Y. Kuo Quôc Thông Lê Gia Christoph Schwab
+ PDF Chat	Higher Order Quasi--Monte Carlo Integration for Holomorphic, Parametric Operator Equations	2016	Josef Dick Quôc Thông Lê Gia Christoph Schwab
+	Higher order Quasi-Monte Carlo integration for Bayesian Estimation	2016	Josef Dick Robert N. Gantner Quôc Thông Lê Gia Christoph Schwab
+	Binned Multilevel Monte Carlo for Bayesian Inverse Problems with Large Data	2016	Robert N. Gantner Claudia Schillings Christoph Schwab
+	Adaptive anisotropic Petrov-Galerkin methods for first order transport equations	2016	Wolfgang Dahmen Gitta Kutyniok Wang‐Q Lim Christoph Schwab Gerrit Welper
+	Multilevel higher order Quasi-Monte Carlo Bayesian Estimation	2016	Josef Dick Robert N. Gantner Quôc Thông Lê Gia Christoph Schwab
+	Numerical analysis of lognormal diffusions on the sphere	2016	Lukas Herrmann Annika Lang Christoph Schwab
+	Isotropic Gaussian random fields on the sphere: Regularity, fast simulation and stochastic partial differential equations	2015	Annika Lang Christoph Schwab
+	Approximation of Singularities by Quantized‐Tensor FEM	2015	Vladimir Kazeev Christoph Schwab
+ PDF Chat	Compressive sensing Petrov-Galerkin approximation of high-dimensional parametric operator equations	2015	Holger Rauhut Christoph Schwab
+ PDF Chat	Intrinsic fault tolerance of multilevel Monte Carlo methods	2015	Stefan Pauli Peter Arbenz Christoph Schwab
+	Multilevel Quasi-Monte Carlo Methods for Lognormal Diffusion Problems	2015	Frances Y. Kuo Robert Scheichl Christoph Schwab Ian H. Sloan Elisabeth Ullmann
+	Multilevel Quasi-Monte Carlo Methods for Lognormal Diffusion Problems	2015	Frances Y. Kuo Robert Scheichl Christoph Schwab Ian H. Sloan Elisabeth Ullmann
+	Compressed sensing Petrov-Galerkin approximations for parametric PDEs	2015	Jean-Luc Bouchot Benjamin Bykowski Holger Rauhut Christoph Schwab
+ PDF Chat	$hp$-dGFEM for second-order mixed elliptic problems in polyhedra	2015	Dominik Schötzau Christoph Schwab Thomas P. Wihler
+	Exponential convergence for hp-version and spectral finite element methods for elliptic problems in polyhedra	2015	Dominik Schötzau Christoph Schwab
+ PDF Chat	Multilevel Monte Carlo front-tracking for random scalar conservation laws	2015	Nils Henrik Risebro Christoph Schwab Franziska Weber
+	Quadrature algorithms for high dimensional singular integrands on simplices	2015	Alexey Chernov Tobias von Petersdorff Christoph Schwab
+	Multi-level Quasi-Monte Carlo Finite Element Methods for a Class of Elliptic PDEs with Random Coefficients	2015	Frances Y. Kuo Christoph Schwab Ian H. Sloan
+ PDF Chat	Tensor Approximation of Stationary Distributions of Chemical Reaction Networks	2015	Vladimir Kazeev Christoph Schwab
+	Compressive Space-Time Galerkin Discretizations of Parabolic Partial Differential Equations	2015	Stig Larsson Christoph Schwab
+ PDF Chat	Higher Order Quasi Monte-Carlo Integration in Uncertainty Quantification	2015	Josef Dick Quôc Thông Lê Gia Christoph Schwab
+ PDF Chat	Fast QMC Matrix-Vector Multiplication	2015	Josef Dick Frances Y. Kuo Quôc Thông Lê Gia Christoph Schwab
+	Quantized Tensor FEM for Elliptic Boundary Value Problems	2015	Christoph Schwab
+	Multilevel Quasi-Monte Carlo Methods for Lognormal Diffusion Problems	2015	Frances Y. Kuo Robert Scheichl Christoph Schwab Ian H. Sloan Elisabeth Ullmann
+	Fast QMC matrix-vector multiplication	2015	Josef Dick Frances Y. Kuo Quôc Thông Lê Gia Christoph Schwab
+	Exponential Convergence for hp-Version and Spectral Finite Element Methods for Elliptic Problems in Polyhedra	2014	Dominik Schötzau Christoph Schwab
+	Compressive sensing Petrov-Galerkin approximation of high-dimensional parametric operator equations	2014	Holger Rauhut Christoph Schwab
+	Compressive sensing Petrov-Galerkin approximation of high-dimensional parametric operator equations	2014	Holger Rauhut Christoph Schwab
+	Scaling Limits in Computational Bayesian Inversion	2014	Claudia Schillings Christoph Schwab
+	Higher order Quasi-Monte Carlo integration for holomorphic, parametric operator equations	2014	Josef Dick Quôc Thông Lê Gia Christoph Schwab
+	Higher order Quasi Monte Carlo integration for holomorphic, parametric operator equations	2014	Josef Dick Quoc T. LeGia Christoph Schwab
+ PDF Chat	Direct Solution of the Chemical Master Equation Using Quantized Tensor Trains	2014	Vladimir Kazeev Mustafa Khammash Michael Nip Christoph Schwab
+	Exponential convergence of simplicial hp-FEM for H^1-functions with isotropic singularities	2014	Christoph Schwab
+ PDF Chat	Efficient Resolution of Anisotropic Structures	2014	Wolfgang Dahmen Chunyan Huang Gitta Kutyniok Wang‐Q Lim Christoph Schwab Gerrit Welper
+ PDF Chat	Multilevel Monte Carlo Finite Element Methods for Stochastic Elliptic Variational Inequalities	2014	Ralf Kornhuber Christoph Schwab Maren-Wanda Wolf
+	Higher order QMC Petrov-Galerkin discretization for affine parametric operator equations with random field inputs	2014	Josef Dick Frances Y. Kuo Quôc Thông Lê Gia Dirk Nuyens Christoph Schwab
+	Multilevel Monte-Carlo front-tracking for random scalar conservation laws	2014	Nils Henrik Risebro Christoph Schwab Franziska Weber
+	Multi-level higher order QMC Galerkin discretization for affine parametric operator equations	2014	Josef Dick Frances Y. Kuo Quôc Thông Lê Gia Christoph Schwab
+	Multilevel Monte Carlo Simulation of Statistical Solutions to the Navier-Stokes Equations.	2014	Andrea Barth Christoph Schwab Jonas Šukys
+	Sparse grid, reduced basis approximation for bayesian inverse problems	2014	Peng Chen Christoph Schwab
+	Multilevel Monte-Carlo Methods for hyperbolic PDEs with random input data	2014	Christoph Schwab
+ PDF Chat	Higher Order QMC Petrov--Galerkin Discretization for Affine Parametric Operator Equations with Random Field Inputs	2014	Josef Dick Frances Y. Kuo Quôc Thông Lê Gia Dirk Nuyens Christoph Schwab
+	Efficient Resolution of Anisotropic Structures	2014	Wolfgang Dahmen Chunyan Huang Gitta Kutyniok Wang‐Q Lim Christoph Schwab Gerrit Welper
+	Compressive sensing Petrov-Galerkin approximation of high-dimensional parametric operator equations	2014	Holger Rauhut Christoph Schwab
+	Higher Order Quasi Monte-Carlo Integration in Uncertainty Quantification	2014	Josef Dick Quôc Thông Lê Gia Christoph Schwab
+	Higher order Quasi-Monte Carlo integration for holomorphic, parametric operator equations	2014	Josef Dick Quôc Thông Lê Gia Christoph Schwab
+ PDF Chat	Approximation by harmonic polynomials in star-shaped domains and exponential convergence of Trefftz<i>hp</i>-dGFEM	2013	Ralf Hiptmair Andrea Moiola Ilaria Perugia Christoph Schwab
+ PDF Chat	Space-time variational saddle point formulations of Stokes and Navier–Stokes equations	2013	Rafaela Guberović Christoph Schwab Rob Stevenson
+ PDF Chat	Exponential Convergence of the hp Version of Isogeometric Analysis in 1D	2013	Annalisa Buffa Giancarlo Sangalli Christoph Schwab
+	Sparse Quadrature Approach to Bayesian Inverse Problems	2013	Christoph Schwab Claudia Schillings
+ PDF Chat	Complexity analysis of accelerated MCMC methods for Bayesian inversion	2013	Viêt Hà Hòang Christoph Schwab Andrew M. Stuart
+ PDF Chat	N-TERM WIENER CHAOS APPROXIMATION RATES FOR ELLIPTIC PDEs WITH LOGNORMAL GAUSSIAN RANDOM INPUTS	2013	Viêt Há Hoáng Christoph Schwab
+ PDF Chat	Covariance structure of parabolic stochastic partial differential equations	2013	Annika Lang Stig Larsson Christoph Schwab
+	Sparse, adaptive Smolyak quadratures for Bayesian inverse problems	2013	Claudia Schillings Christoph Schwab
+ PDF Chat	Adaptive Galerkin approximation algorithms for Kolmogorov equations in infinite dimensions	2013	Christoph Schwab Endre Süli
+	Low-rank tensor structure of linear diffusion operators in the TT and QTT formats	2013	Vladimir Kazeev Oleg Reichmann Christoph Schwab
+	Multidimensional Diffusion Models	2013	Norbert Hilber Oleg Reichmann Christoph Schwab Christoph Winter
+	Stochastic Volatility Models with Jumps	2013	Norbert Hilber Oleg Reichmann Christoph Schwab Christoph Winter
+	A note on sparse, adaptive Smolyak quadratures for Bayesian inverse problems	2013	Claudia Schillings Christoph Schwab
+	Breaking the curse of dimensionality in sparse polynomial approximation of parametric PDEs	2013	Albert Cohen Abdellah Chkifa Christoph Schwab
+	Intrinsic fault tolerance of multi level Monte Carlo methods	2013	Stefan Pauli Peter Arbenz Christoph Schwab
+	Quasi Monte-Carlo Integration for Parametric and Stochastic Operator Equations	2013	Christoph Schwab
+	Quasi-Monte Carlo finite element methods for elliptic PDEs with log-normal random coefficient	2013	Ivan G. Graham Frances Y. Kuo James Nichols Robert Scheichl Christoph Schwab Ian H. Sloan
+	Elements of Numerical Methods for PDEs	2013	Norbert Hilber Oleg Reichmann Christoph Schwab Christoph Winter
+ PDF Chat	Analytic regularity and nonlinear approximation of a class of parametric semilinear elliptic PDEs	2012	Markus Hansen Christoph Schwab
+	Exponential convergence of the hp version of isogeometric analysis in 1D	2012	Annalisa Buffa Giancarlo Sangalli Christoph Schwab
+	HIGH-ORDER GALERKIN APPROXIMATIONS FOR PARAMETRIC SECOND-ORDER ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS	2012	Victor Nistor Christoph Schwab
+	Approximation by harmonic polynomials in star-shaped domains and exponential convergence of Trefftz hp-DGFEM	2012	Ralf Hiptmair Andrea Moiola Ilaria Perugia Christoph Schwab
+	Multi-level quasi-Monte Carlo finite element methods for a class of elliptic partial differential equations with random coefficients	2012	Frances Y. Kuo Christoph Schwab Ian H. Sloan
+	Complexity Analysis of Accelerated MCMC Methods for Bayesian Inversion	2012	Viêt Hà Hòang Christoph Schwab Andrew M. Stuart
+	Sparse MCMC gpc Finite Element Methods for Bayesian Inverse Problems	2012	Viêt Há Hoáng Christoph Schwab Andrew M. Stuart
+ PDF Chat	Exponential Convergence of Gauss--Jacobi Quadratures for Singular Integrals over Simplices in Arbitrary Dimension	2012	Alexey Chernov Christoph Schwab
+	hp-dGFEM for Second-Order Mixed Elliptic Problems in Polyhedra: I: Stability on Geometric Meshes	2012	Dominik Schötzau Christoph Schwab Thomas P. Wihler
+	hp-DG-QTT solution of high-dimensional degenerate diffusion equations	2012	Vladimir Kazeev Oleg Reichmann Christoph Schwab
+	Sparse MCMC gpc finite element methods for Bayesian inverse problems	2012	Viêt Hà Hòang Christoph Schwab Andrew M. Stuart
+	Sparse, adaptive Smolyak algorithms for Bayesian inverse problems	2012	Claudia Schillings Christoph Schwab
+ PDF Chat	Quasi-Monte Carlo Finite Element Methods for a Class of Elliptic Partial Differential Equations with Random Coefficients	2012	Frances Y. Kuo Christoph Schwab Ian H. Sloan
+	Approximation by harmonic polynomials in star-shaped domains and exponential convergence of Trefftz hp-DGFEM	2012	Ralf Hiptmair Andrea Moiola Ilaria Perugia Christoph Schwab
+	Quasi-Monte Carlo methods for high dimensional integration - the standard (weighted Hilbert space) setting and beyond	2012	Frances Y. Kuo Christoph Schwab Ian H. Sloan
+	High order Galerkin appoximations for parametric second order elliptic partial differential equations	2012	Victor Nistor Christoph Schwab
+	Exponential convergence of hp-DGFEM for elliptic problems in polyhedral domains	2012	Dominik Schötzau Christoph Schwab Thomas P. Wihler Marcel Wirz
+	Complexity Analysis of Accelerated MCMC Methods for Bayesian Inversion	2012	Viêt Há Hoáng Christoph Schwab Andrew M. Stuart
+	Multi-level quasi-Monte Carlo finite element methods for a class of elliptic partial differential equations with random coefficients	2012	Frances Y. Kuo Christoph Schwab Ian H. Sloan
+	<i>hp</i>‐FEM for second moments of elliptic PDEs with stochastic data. I. Analytic regularity	2011	Bastian Pentenrieder Christoph Schwab
+ PDF Chat	hp-DGFEM FOR KOLMOGOROV–FOKKER–PLANCK EQUATIONS OF MULTIVARIATE LÉVY PROCESSES	2011	Daniele Marazzina Oleg Reichmann Christoph Schwab
+ PDF Chat	Multi-level Monte Carlo Finite Element method for elliptic PDEs with stochastic coefficients	2011	Andrea Barth Christoph Schwab Nathaniel Zollinger
+ PDF Chat	Tensor-Structured Galerkin Approximation of Parametric and Stochastic Elliptic PDEs	2011	Boris N. Khoromskij Christoph Schwab
+ PDF Chat	Sparse Discrete Ordinates Method in Radiative Transfer	2011	Konstantin Grella Christoph Schwab
+	Sparse deterministic approximation of Bayesian inverse problems	2011	Christoph Schwab Andrew M. Stuart
+	Analytic regularity and GPC approximation for control problems constrained by linear parametric elliptic and parabolic PDEs	2011	Angela Kunoth Christoph Schwab
+	Space-time variational saddle point formulations of Stokes and Navier-Stokes equations	2011	Rafaela Guberović Christoph Schwab Rob Stevenson
+	Analytic regularity and polynomial approximation of stochastic, parametric elliptic multiscale PDEs	2011	Christoph Schwab Viêt Há Hoáng
+	Static load balancing for multi-level Monte Carlo finite volume solvers	2011	Jonas Šukys Siddhartha Mishra Christoph Schwab
+	Analytic regularity and nonlinear approximation of a class of parametric semilinear elliptic PDEs	2011	Markus Hansen Christoph Schwab
+	Sparse discrete ordinates method in radiative transfer	2011	Konstantin Grella Christoph Schwab
+	Multi-level quasi-Monte Carlo finite element methods for a class of elliptic partial differential equations with random coefficients	2011	Frances Y. Kuo Christoph Schwab Ian H. Sloan
+ PDF Chat	ANALYTIC REGULARITY AND POLYNOMIAL APPROXIMATION OF PARAMETRIC AND STOCHASTIC ELLIPTIC PDE'S	2011	Albert Cohen Ronald DeVore Christoph Schwab
+ PDF Chat	Exponential convergence of<i>hp</i>quadrature for integral operators with Gevrey kernels	2010	Alexey Chernov Tobias von Petersdorff Christoph Schwab
+	Analytic regularity and polynomial approximation of parametric and stochastic elliptic PDEs	2010	Albert Cohen Ronald DeVore Christoph Schwab
+	hp-FEM for second moments of elliptic PDEs with stochastic data	2010	Bastian Pentenrieder Christoph Schwab
+	Elliptic Boundary Integral Equations	2010	Stefan Sauter Christoph Schwab
+	Solution of Linear Systems of Equations	2010	Stefan Sauter Christoph Schwab
+	Sparse tensor spherical harmonics approximation in radiative transfer	2010	Konstantin Grella Christoph Schwab
+	Fast evaluation of nonlinear functionals of tensor product wavelet expansions	2010	Christoph Schwab Rob Stevenson
+	Tensor-structured Galerkin approximation of parametric and stochastic elliptic PDEs	2010	Boris N. Khoromskij Christoph Schwab
+	hp-FEM for second moments of elliptic PDEs with stochastic data: part 1: analytic regularity	2010	Bastian Pentenrieder Christoph Schwab
+	Introduction	2010	Stefan Sauter Christoph Schwab
+ PDF Chat	Space-time adaptive wavelet methods for parabolic evolution problems	2009	Christoph Schwab Rob Stevenson
+	Exponential convergence of hp quadrature for integral operators with Gevrey kernels	2009	Alexey Chernov Tobias von Petersdorff Christoph Schwab
+	Sparse p-version BEM for first kind boundary integral equations with random loading	2008	Alexey Chernov Christoph Schwab
+ PDF Chat	Adaptive wavelet algorithms for elliptic PDE's on product domains	2007	Christoph Schwab Rob Stevenson
+ PDF Chat	Convergence rates for sparse chaos approximations of elliptic problems with stochastic coefficients	2006	Radu Alexandru Todor Christoph Schwab
+	Anisotropic Stable Levy Copula Processes - Analysis and Numerical Pricing Methods	2006	Walter Farkas Nils Reich Christoph Schwab
+	Analytic regularity of Stokes flow on polygonal domains in countably weighted Sobolev spaces	2005	Benqi Guo Christoph Schwab
+ PDF Chat	Fast Numerical Methods for Non-local Operators	2005	Wolfgang Hackbusch Stefan Sauter Christoph Schwab
+ PDF Chat	EXISTENCE OF GLOBAL WEAK SOLUTIONS FOR SOME POLYMERIC FLOW MODELS	2005	John W. Barrett Christoph Schwab Endre Süli
+ PDF Chat	EXPONENTIAL CONVERGENCE OF hp-FEM FOR MAXWELL EQUATIONS WITH WEIGHTED REGULARIZATION IN POLYGONAL DOMAINS	2005	Martin Costabel Monique Dauge Christoph Schwab
+ PDF Chat	Fast Numerical Solution of Parabolic Integrodifferential Equations with Applications in Finance	2005	Ana-Maria Matache Christoph Schwab Thomas P. Wihler
+	Elliptische Differentialgleichungen	2004	Stefan Sauter Christoph Schwab
+	High dimensional finite elements for elliptic problems with multiple scales and stochastic data	2003	Christoph Schwab
+ PDF Chat	<i>hp</i>-FEM for three-dimensional elastic plates	2002	Monique Dauge Christoph Schwab
+	Coupled Problems for Viscous Incompressible Flow in Exterior Domains	2002	Miloslav Feistauer Christoph Schwab
+ PDF Chat	Local Discontinuous Galerkin Methods for the Stokes System	2002	Bernardo Cockburn Guido Kanschat Dominik Schötzau Christoph Schwab
+	Coupled Problems for Viscous Incompressible Flow in Exterior Domains	2002	Miloslav Feistauer Christoph Schwab
+ PDF Chat	hp-discontinuous Galerkin time-stepping for parabolic problems	2001	Dominik Schötzau Christoph Schwab
+ PDF Chat	Optimal a priori error estimates for the $hp$-version of the local discontinuous Galerkin method for convection--diffusion problems	2001	Paul Castillo Bernardo Cockburn Dominik Schötzau Christoph Schwab
+	Mixed -finite element approximations on geometric boundary layer meshes in	2001	Andrea Toselli Christoph Schwab
+	Mixed hp-finite element approximations on geometric edge and boundary layer meshes in three dimensions	2001	Andrea Toselli Christoph Schwab
+	An hp a priori error analysis of¶the DG time-stepping method for initial value problems	2000	Dominik Schötzau Christoph Schwab
+	Discontinuous hp-finite element methods for advection-diffusion problems	2000	Paul Houston Christoph Schwab Endre Süli
+	Approximation on Simplices with Respect to Weighted Sobolev Norms	2000	Dietrich Braess Christoph Schwab
+ PDF Chat	Stabilized<i>hp</i>-Finite Element Methods for First-Order Hyperbolic Problems	2000	Paul Houston Christoph Schwab Endre Süli
+ PDF Chat	Time Discretization of Parabolic Problems by the HP-Version of the Discontinuous Galerkin Finite Element Method	2000	Dominik Schötzau Christoph Schwab
+	Discontinuous Galerkin time stepping methods for parabolic problems	2000	K. Gerdes Dominik Schötzau Christoph Schwab T. Werder
+	Approximation on simplices with respect to weighted Sobolev norms	1999	Dietrich Braess Christoph Schwab
+	Time discretization of parabolic problems by the hp-version of the discontinuous Galerkin finite element method	1999	Dominik Schötzau Christoph Schwab
+ PDF Chat	MIXED hp-FEM ON ANISOTROPIC MESHES	1998	Dominik Schötzau Christoph Schwab
+	HIERARCHIC MODELS OF HELMHOLTZ PROBLEMS ON THIN DOMAINS	1998	K. Gerdes Christoph Schwab
+	The hp streamline diffusion finite element method for convection dominated problems in one space dimension	1998	Jens Markus Melenk Christoph Schwab
+	A spectral Garlekin method for hydrodynamic stability problems	1998	N. P. Hancke Jens Markus Melenk Christoph Schwab
+	Multiwavelets for Second-Kind Integral Equations	1997	Tobias von Petersdorff Christoph Schwab Reinhold Schneider
+	hp FEM for reaction-diffusion equations	1997	Jens Markus Melenk Christoph Schwab
+	Wavelet Galerkin algorithms for boundary integral equations	1997	Christian Lage Christoph Schwab
+	Analysis of membrane locking in hp FEM for a cylindrical shell	1997	K. Gerdes Ana-Maria Matache Christoph Schwab
+ PDF Chat	The $p$ and $hp$ versions of the finite element method for problems with boundary layers	1996	Christoph Schwab Manil Suri
+	The hp finite element method for problems in mechanics with boundary layers	1996	Christoph Schwab Manil Suri Christos Xenophontos
+	On coupled problems for viscous flow in exterior domains	1996	Miloslav Feistauer Christoph Schwab
+	Numerical Treatment of Differential and Integral Equations by the P and H-P Versions of the Finite Element Method	1992	Manil Suri Christoph Schwab
+	A Note On Variable Knot, Variable Order Composite Quadrature For Integrands With Power Singularities	1992	Christoph Schwab

Common Coauthors

Coauthor	Papers Together
Jakob Zech	23
Josef Dick	21
Frances Y. Kuo	17
Quôc Thông Lê Gia	16
Jens Markus Melenk	16
Carlo Marcati	15
Lukas Herrmann	14
Dominik Schötzau	13
Ian H. Sloan	11
Đinh Dũng	10
Viêt Hà Hòang	10
Joost A. A. Opschoor	10
Robert N. Gantner	9
Van Kien Nguyen	8
Ilaria Perugia	8
Vladimir Kazeev	8
Lehel Banjai	7
Claudia Schillings	7
Holger Rauhut	6
Markus Faustmann	6
Andrea Moiola	6
Rob Stevenson	6
Andrew M. Stuart	6
Oleg Reichmann	6
Lukas Gonon	6
Annika Lang	5
Stefan Sauter	5
Alexey Chernov	5
Thomas P. Wihler	5
Maxim Rakhuba	5
Marcello Longo	5
Robert Scheichl	5
Gerrit Welper	4
Kristin Kirchner	4
Endre Süli	4
Wolfgang Dahmen	4
Ralf Hiptmair	4
Wang‐Q Lim	4
Elisabeth Ullmann	4
Helmut Harbrecht	4
Tobias von Petersdorff	4
Gitta Kutyniok	4
Pratyuksh Bansal	3
Jonas Šukys	3
Marco Zank	3
Yanchen He	3
Philipp Petersen	3
K. Gerdes	3
Franziska Weber	3
Bastian Pentenrieder	3

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	ANALYTIC REGULARITY AND POLYNOMIAL APPROXIMATION OF PARAMETRIC AND STOCHASTIC ELLIPTIC PDE'S	2011	Albert Cohen Ronald DeVore Christoph Schwab	26
+ PDF Chat	Quasi-Monte Carlo Finite Element Methods for a Class of Elliptic Partial Differential Equations with Random Coefficients	2012	Frances Y. Kuo Christoph Schwab Ian H. Sloan	25
+ PDF Chat	Multi-level Monte Carlo Finite Element method for elliptic PDEs with stochastic coefficients	2011	Andrea Barth Christoph Schwab Nathaniel Zollinger	21
+	Sparse, adaptive Smolyak quadratures for Bayesian inverse problems	2013	Claudia Schillings Christoph Schwab	20
+	Elliptic Problems in Nonsmooth Domains	2011	Pierre Grisvard	20
+ PDF Chat	Higher Order QMC Petrov--Galerkin Discretization for Affine Parametric Operator Equations with Random Field Inputs	2014	Josef Dick Frances Y. Kuo Quôc Thông Lê Gia Dirk Nuyens Christoph Schwab	19
+	Fast algorithms for component-by-component construction of rank-1 lattice rules in shift-invariant reproducing kernel Hilbert spaces	2006	Dirk Nuyens Ronald Cools	18
+ PDF Chat	Multilevel Monte Carlo Path Simulation	2008	Michael B. Giles	18
+ PDF Chat	Sparse deterministic approximation of Bayesian inverse problems	2012	C. Schwab Andrew M. Stuart	16
+ PDF Chat	Sparsity in Bayesian inversion of parametric operator equations	2014	Claudia Schillings Ch. Schwab	15
+	Regularity of the Solution of Elliptic Problems with Piecewise Analytic Data. Part I. Boundary Value Problems for Linear Elliptic Equation of Second Order	1988	Ivo Babuška Binghui Guo	15
+ PDF Chat	QUASI-MONTE CARLO METHODS FOR HIGH-DIMENSIONAL INTEGRATION: THE STANDARD (WEIGHTED HILBERT SPACE) SETTING AND BEYOND	2011	Frances Y. Kuo Ch. Schwab Ian H. Sloan	15
+	High-dimensional integration: The quasi-Monte Carlo way	2013	Josef Dick Frances Y. Kuo Ian H. Sloan	14
+ PDF Chat	Inverse problems: A Bayesian perspective	2010	Andrew M. Stuart	14
+	HIGH-ORDER GALERKIN APPROXIMATIONS FOR PARAMETRIC SECOND-ORDER ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS	2012	Victor Nistor Christoph Schwab	14
+	Multi-level Quasi-Monte Carlo Finite Element Methods for a Class of Elliptic PDEs with Random Coefficients	2015	Frances Y. Kuo Christoph Schwab Ian H. Sloan	13
+	Quasi-Monte Carlo finite element methods for elliptic PDEs with lognormal random coefficients	2014	Ivan G. Graham Frances Y. Kuo James Nichols Robert Scheichl Ch. Schwab Ian H. Sloan	13
+	Direct and inverse error estimates for finite elements with mesh refinements	1979	Ivo Babuška R. Bruce Kellogg Juhani Pitkäranta	12
+	Multilevel Monte Carlo methods and applications to elliptic PDEs with random coefficients	2011	K. A. Cliffe Michael B. Giles Robert Scheichl Aretha L. Teckentrup	12
+ PDF Chat	Optimal approximation of piecewise smooth functions using deep ReLU neural networks	2018	Philipp Petersen Felix Voigtlaender	12
+ PDF Chat	Walsh Spaces Containing Smooth Functions and Quasi–Monte Carlo Rules of Arbitrary High Order	2008	Josef Dick	12
+ PDF Chat	Multilevel Monte Carlo Methods	2001	Stefan Heinrich	11
+	Strong and Weak Error Estimates for Elliptic Partial Differential Equations with Random Coefficients	2012	Julia Charrier	11
+ PDF Chat	Multilevel Monte Carlo methods	2015	Michael B. Giles	11
+	When Are Quasi-Monte Carlo Algorithms Efficient for High Dimensional Integrals?	1998	Ian H. Sloan Henryk Woźniakowski	11
+	Finite Element Error Analysis of Elliptic PDEs with Random Coefficients and Its Application to Multilevel Monte Carlo Methods	2013	Julia Charrier Robert Scheichl Aretha L. Teckentrup	10
+ PDF Chat	Further analysis of multilevel Monte Carlo methods for elliptic PDEs with random coefficients	2013	Aretha L. Teckentrup Robert Scheichl Michael B. Giles Elisabeth Ullmann	10
+ PDF Chat	Multilevel Higher Order QMC Petrov--Galerkin Discretization for Affine Parametric Operator Equations	2016	Josef Dick Frances Y. Kuo Quôc Thông Lê Gia Christoph Schwab	10
+	Fast component-by-component construction of rank-1 lattice rules with a non-prime number of points	2005	Dirk Nuyens Ronald Cools	10
+ PDF Chat	Higher Order Quasi--Monte Carlo Integration for Holomorphic, Parametric Operator Equations	2016	Josef Dick Quôc Thông Lê Gia Christoph Schwab	10
+	O(dlog N)-Quantics Approximation of N-d Tensors in High-Dimensional Numerical Modeling	2011	Boris N. Khoromskij	10
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	10
+ PDF Chat	Multilevel higher-order quasi-Monte Carlo Bayesian estimation	2017	Josef Dick Robert N. Gantner Quôc Thông Lê Gia Christoph Schwab	9
+ PDF Chat	Error bounds for approximations with deep ReLU networks	2017	Dmitry Yarotsky	9
+ PDF Chat	Hierarchical Singular Value Decomposition of Tensors	2010	Lars Grasedyck	9
+ PDF Chat	Construction of Interlaced Scrambled Polynomial Lattice Rules of Arbitrary High Order	2014	Takashi Goda Josef Dick	9
+	Elliptic Equations in Polyhedral Domains	2010	Vladimir Maz’ya J. Roßmann	9
+	Digital Nets and Sequences	2010	Josef Dick Friedrich Pillichshammer	9
+ PDF Chat	A New Scheme for the Tensor Representation	2009	Wolfgang Hackbusch Simone Kühn	9
+	Tensor approximations of matrices generated by asymptotically smooth functions	2003	Е. Е. Тыртышников	9
+	Breaking the Curse of Dimensionality, Or How to Use SVD in Many Dimensions	2009	Ivan Oseledets E. E. Tyrtyshnikov	9
+ PDF Chat	Space-time adaptive wavelet methods for parabolic evolution problems	2009	Christoph Schwab Rob Stevenson	8
+	Good interlaced polynomial lattice rules for numerical integration in weighted Walsh spaces	2015	Takashi Goda	8
+ PDF Chat	Computational Higher Order Quasi-Monte Carlo Integration	2016	Robert N. Gantner Christoph Schwab	8
+	Low-Rank Explicit QTT Representation of the Laplace Operator and Its Inverse	2012	Vladimir Kazeev Boris N. Khoromskij	8
+ PDF Chat	The $p$ and $hp$ versions of the finite element method for problems with boundary layers	1996	Christoph Schwab Manil Suri	8
+	Constructing Randomly Shifted Lattice Rules in Weighted Sobolev Spaces	2002	Ian H. Sloan Frances Y. Kuo Stephen Joe	8
+	Stochastic Equations in Infinite Dimensions	2014	Giuseppe Da Prato Jerzy Zabczyk	8
+ PDF Chat	Convergence rates for sparse chaos approximations of elliptic problems with stochastic coefficients	2006	Radu Alexandru Todor Christoph Schwab	8
+ PDF Chat	Tensor-Structured Galerkin Approximation of Parametric and Stochastic Elliptic PDEs	2011	Boris N. Khoromskij Christoph Schwab	8