Christoph Schwab

175 papers Misc 1Journal 168Unranked 3

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	Approximation of PDE solution manifolds: Sparse-grid interpolation and quadrature. CoRR Dinh Dung, Van Kien Nguyen, Duong Thanh Pham, Christoph Schwab
2026	J	`jnl`	Elliptic PDEs on log-Gaussian Shapes: Sparsity and Finite Element Discretization. CoRR Dinh Dung, Helmut Harbrecht, Van Kien Nguyen, Christoph Schwab
2026	J	`jnl`	Exponential Convergence of hp-FEM for the Integral Fractional Laplacian on cuboids. CoRR Björn Bahr, Markus Faustmann, Carlo Marcati, Jens Markus Melenk, Christoph Schwab
2025	J	`jnl`	Frequency-Explicit Shape Holomorphy in Uncertainty Quantification for Acoustic Scattering. SIAM/ASA J. Uncertain. Quantification Ralf Hiptmair, Christoph Schwab, Euan A. Spence
2025	J	`jnl`	Neural networks for singular perturbations. Numerische Mathematik Joost A. A. Opschoor, Christoph Schwab, Christos Xenophontos
2025	J	`jnl`	Quantum Circuit Encodings of Polynomial Chaos Expansions. CoRR Junaid Aftab, Christoph Schwab, Haizhao Yang, Jakob Zech
2025	J	`jnl`	ROM for Viscous, Incompressible Flow in Polygons - exponential CoRR Francesco Romor, Federico Pichi, Giovanni Stabile, Gianluigi Rozza, Christoph Schwab
2025	J	`jnl`	Sparsity for Infinite-Parametric Holomorphic Functions on Gaussian Spaces. CoRR Carlo Marcati, Christoph Schwab, Jakob Zech
2024	J	`jnl`	Analytic Regularity of Solutions to the Navier-Stokes Equations with Mixed Boundary Conditions in Polygons. SIAM J. Math. Anal. Yanchen He, Carlo Marcati, Christoph Schwab
2024	J	`jnl`	Deep ReLU Neural Network Emulation in High-Frequency Acoustic Scattering. CoRR Fernando Henríquez, Christoph Schwab
2024	J	`jnl`	Deep ReLU networks and high-order finite element methods II: Chebyšev emulation. Comput. Math. Appl. Joost A. A. Opschoor, Christoph Schwab
2024	J	`jnl`	Exponential Convergence of CoRR Yanchen He, Paul Houston, Christoph Schwab, Thomas P. Wihler
2024	J	`jnl`	Exponential Expressivity of ReLU CoRR Joost A. A. Opschoor, Christoph Schwab
2024	J	`jnl`	Expression Rates of Neural Operators for Linear Elliptic PDEs in Polytopes. CoRR Carlo Marcati, Christoph Schwab
2024	J	`jnl`	First Order System Least Squares Neural Networks. CoRR Joost A. A. Opschoor, Philipp Christian Petersen, Christoph Schwab
2024	J	`jnl`	Frequency-Explicit Shape Holomorphy in Uncertainty Quantification for Acoustic Scattering. CoRR Ralf Hiptmair, Christoph Schwab, Euan A. Spence
2024	J	`jnl`	Multilevel approximation of Gaussian random fields: Covariance compression, estimation, and spatial prediction. Adv. Comput. Math. Helmut Harbrecht, Lukas Herrmann, Kristin Kirchner, Christoph Schwab
2024	J	`jnl`	Multiresolution kernel matrix algebra. Numerische Mathematik Helmut Harbrecht, Michael D. Multerer, Olaf Schenk, Christoph Schwab
2024	J	`jnl`	Neural Networks for Singular Perturbations. CoRR Joost A. A. Opschoor, Christoph Schwab, Christos Xenophontos
2024	J	`jnl`	Neural and spectral operator surrogates: unified construction and expression rate bounds. Adv. Comput. Math. Lukas Herrmann, Christoph Schwab, Jakob Zech
2024	J	`jnl`	Wavelet compressed, modified Hilbert transform in the space-time discretization of the heat equation. CoRR Helmut Harbrecht, Christoph Schwab, Marco Zank
2023	J	`jnl`	A-posteriori QMC-FEM error estimation for Bayesian inversion and optimal control with entropic risk measure. CoRR Marcello Longo, Christoph Schwab, Andreas Stein
2023	J	`jnl`	De Rham compatible Deep Neural Network FEM. Neural Networks Marcello Longo, Joost A. A. Opschoor, Nico Disch, Christoph Schwab, Jakob Zech
2023	J	`jnl`	Deep Learning in High Dimension: Neural Network Expression Rates for Analytic Functions in \(\pmb{L^2(\mathbb{R}^d,\gamma_d)}\). SIAM/ASA J. Uncertain. Quantification Christoph Schwab, Jakob Zech
2023	J	`jnl`	Deep Operator Network Approximation Rates for Lipschitz Operators. CoRR Christoph Schwab, Andreas Stein, Jakob Zech
2023	J	`jnl`	Deep ReLU networks and high-order finite element methods II: Chebyshev emulation. CoRR Joost A. A. Opschoor, Christoph Schwab
2023	J	`jnl`	Exponential Convergence of Deep Operator Networks for Elliptic Partial Differential Equations. SIAM J. Numer. Anal. Carlo Marcati, Christoph Schwab
2023	J	`jnl`	Exponential Convergence of \(hp\)-FEM for the Integral Fractional Laplacian in Polygons. SIAM J. Numer. Anal. Markus Faustmann, Carlo Marcati, Jens Markus Melenk, Christoph Schwab
2023	J	`jnl`	Exponential ReLU Neural Network Approximation Rates for Point and Edge Singularities. Found. Comput. Math. Carlo Marcati, Joost A. A. Opschoor, Philipp Christian Petersen, Christoph Schwab
2023	J	`jnl`	Exponential convergence of hp FEM for spectral fractional diffusion in polygons. Numerische Mathematik Lehel Banjai, Jens Markus Melenk, Christoph Schwab
2023	J	`jnl`	Multilevel Monte Carlo FEM for Elliptic PDEs with Besov Random Tree Priors. CoRR Christoph Schwab, Andreas Stein
2023	J	`jnl`	ReLU Neural Network Galerkin BEM. J. Sci. Comput. Rubén Aylwin, Fernando Henríquez, Christoph Schwab
2023	J	`jnl`	The Gevrey class implicit mapping theorem with application to UQ of semilinear elliptic PDEs. CoRR Helmut Harbrecht, Marc Schmidlin, Christoph Schwab
2023	J	`jnl`	Weighted analytic regularity for the integral fractional Laplacian in polyhedra. CoRR Markus Faustmann, Carlo Marcati, Jens Markus Melenk, Christoph Schwab
2022	J	`jnl`	Analyticity and sparsity in uncertainty quantification for PDEs with Gaussian random field inputs. CoRR Dinh Dung, Van Kien Nguyen, Christoph Schwab, Jakob Zech
2022	J	`jnl`	Constructive Deep ReLU Neural Network Approximation. J. Sci. Comput. Lukas Herrmann, Joost A. A. Opschoor, Christoph Schwab
2022	J	`jnl`	De Rham compatible Deep Neural Networks. CoRR Marcello Longo, Joost A. A. Opschoor, Nico Disch, Christoph Schwab, Jakob Zech
2022	J	`jnl`	Exponential Convergence of hp FEM for the Integral Fractional Laplacian in Polygons. CoRR Markus Faustmann, Carlo Marcati, Jens Markus Melenk, Christoph Schwab
2022	J	`jnl`	Exponential Convergence of hp-Time-Stepping in Space-Time Discretizations of Parabolic PDEs. CoRR Ilaria Perugia, Christoph Schwab, Marco Zank
2022	J	`jnl`	Exponential convergence of hp-FEM for the integral fractional Laplacian in 1D. CoRR Markus Faustmann, Carlo Marcati, Jens Markus Melenk, Christoph Schwab
2022	J	`jnl`	Extrapolated Polynomial Lattice Rule Integration in Computational Uncertainty Quantification. SIAM/ASA J. Uncertain. Quantification Josef Dick, Marcello Longo, Christoph Schwab
2022	J	`jnl`	Monte Carlo convergence rates for kth moments in Banach spaces. CoRR Kristin Kirchner, Christoph Schwab
2022	J	`jnl`	Multilevel Domain Uncertainty Quantification in Computational Electromagnetics. CoRR Rubén Aylwin, Carlos Jerez-Hanckes, Christoph Schwab, Jakob Zech
2022	J	`jnl`	Multiresolution kernel matrix algebra. CoRR Helmut Harbrecht, Michael D. Multerer, Olaf Schenk, Christoph Schwab
2022	J	`jnl`	Neural and gpc operator surrogates: construction and expression rate bounds. CoRR Lukas Herrmann, Christoph Schwab, Jakob Zech
2022	J	`jnl`	Quantized Tensor FEM for Multiscale Problems: Diffusion Problems in Two and Three Dimensions. Multiscale Model. Simul. Vladimir A. Kazeev, Ivan V. Oseledets, Maxim V. Rakhuba, Christoph Schwab
2022	J	`jnl`	Tensor rank bounds for point singularities in ℝ Adv. Comput. Math. Carlo Marcati, Maksim Rakhuba, Christoph Schwab
2021	J	`jnl`	Deep Learning in High Dimension: Neural Network Approximation of Analytic Functions in L CoRR Christoph Schwab, Jakob Zech
2021	J	`jnl`	Deep ReLU Network Expression Rates for Option Prices in high-dimensional, exponential Lévy models. CoRR Lukas Gonon, Christoph Schwab
2021	J	`jnl`	Deep ReLU Neural Network Approximation for Stochastic Differential Equations with Jumps. CoRR Lukas Gonon, Christoph Schwab
2021	J	`jnl`	DeepCME: A deep learning framework for computing solution statistics of the chemical master equation. PLoS Comput. Biol. Ankit Gupta, Christoph Schwab, Mustafa Khammash
2021	J	`jnl`	Exponential Convergence of Deep Operator Networks for Elliptic Partial Differential Equations. CoRR Carlo Marcati, Christoph Schwab
2021	J	`jnl`	Higher-Order Quasi-Monte Carlo Training of Deep Neural Networks. SIAM J. Sci. Comput. Marcello Longo, Siddhartha Mishra, T. Konstantin Rusch, Christoph Schwab
2021	J	`jnl`	Multilevel Markov Chain Monte Carlo for Bayesian Inversion of Parabolic Partial Differential Equations under Gaussian Prior. SIAM/ASA J. Uncertain. Quantification Viet Ha Hoang, Jia Hao Quek, Christoph Schwab
2021	J	`jnl`	Multilevel approximation of Gaussian random fields: Covariance compression, estimation and spatial prediction. CoRR Helmut Harbrecht, Lukas Herrmann, Kristin Kirchner, Christoph Schwab
2021	J	`jnl`	Quasi-Monte Carlo Bayesian estimation under Besov priors in elliptic inverse problems. Math. Comput. Lukas Herrmann, Magdalena Keller, Christoph Schwab
2021	J	`jnl`	Weighted analytic regularity for the integral fractional Laplacian in polygons. CoRR Markus Faustmann, Carlo Marcati, Jens Markus Melenk, Christoph Schwab
2020	J	`jnl`	Analytic Regularity for the Incompressible Navier-Stokes Equations in Polygons. SIAM J. Math. Anal. Carlo Marcati, Christoph Schwab
2020	J	`jnl`	Analytic regularity for the incompressible Navier-Stokes equations in polygons. CoRR Carlo Marcati, Christoph Schwab
2020	J	`jnl`	Domain Uncertainty Quantification in Computational Electromagnetics. SIAM/ASA J. Uncertain. Quantification Rubén Aylwin, Carlos Jerez-Hanckes, Christoph Schwab, Jakob Zech
2020	J	`jnl`	Exponential Convergence of hp FEM for Spectral Fractional Diffusion in Polygons. CoRR Lehel Banjai, Jens Markus Melenk, Christoph Schwab
2020	J	`jnl`	Exponential ReLU Neural Network Approximation Rates for Point and Edge Singularities. CoRR Carlo Marcati, Joost A. A. Opschoor, Philipp Christian Petersen, Christoph Schwab
2020	J	`jnl`	Exponential convergence in \(H^1\) of Numerische Mathematik Michael Feischl, Christoph Schwab
2020	J	`jnl`	Higher-order Quasi-Monte Carlo Training of Deep Neural Networks. CoRR Marcello Longo, Siddhartha Mishra, T. Konstantin Rusch, Christoph Schwab
2020	J	`jnl`	Quantized tensor FEM for multiscale problems: diffusion problems in two and three dimensions. CoRR Vladimir A. Kazeev, Ivan V. Oseledets, Maksim Rakhuba, Christoph Schwab
2020	J	`jnl`	Space-time discontinuous Galerkin approximation of acoustic waves with point singularities. CoRR Pratyuksh Bansal, Andrea Moiola, Ilaria Perugia, Christoph Schwab
2020	J	`jnl`	hp-FEM for reaction-diffusion equations II. Robust exponential convergence for multiple length scales in corner domains. CoRR Lehel Banjai, Jens Markus Melenk, Christoph Schwab
2019	J	`jnl`	Higher order Quasi-Monte Carlo integration for Bayesian PDE Inversion. Comput. Math. Appl. Josef Dick, Robert N. Gantner, Quoc Thong Le Gia, Christoph Schwab
2019	J	`jnl`	Improved Efficiency of a Multi-Index FEM for Computational Uncertainty Quantification. SIAM J. Numer. Anal. Josef Dick, Michael Feischl, Christoph Schwab
2019	J	`jnl`	QMC integration for lognormal-parametric, elliptic PDEs: local supports and product weights. Numerische Mathematik Lukas Herrmann, Christoph Schwab
2019	J	`jnl`	Tensor FEM for Spectral Fractional Diffusion. Found. Comput. Math. Lehel Banjai, Jens Markus Melenk, Ricardo H. Nochetto, Enrique Otárola, Abner J. Salgado, Christoph Schwab
2019	J	`jnl`	Tensor Rank bounds for Point Singularities in R CoRR Carlo Marcati, Maxim V. Rakhuba, Christoph Schwab
2019	J	`jnl`	Uncertainty Quantification for Spectral Fractional Diffusion: Sparsity Analysis of Parametric Solutions. SIAM/ASA J. Uncertain. Quantification Lukas Herrmann, Christoph Schwab, Jakob Zech
2018	J	`jnl`	Adaptive anisotropic Petrov-Galerkin methods for first order transport equations. J. Comput. Appl. Math. Wolfgang Dahmen, Gitta Kutyniok, Wang-Q Lim, Christoph Schwab, Gerrit Welper
2018	J	`jnl`	Discontinuous Galerkin Methods for Acoustic Wave Propagation in Polygons. J. Sci. Comput. Fabian L. Mueller, Dominik Schötzau, Christoph Schwab
2018	J	`jnl`	Exponential Convergence of hp-FEM for Elliptic Problems in Polyhedra: Mixed Boundary Conditions and Anisotropic Polynomial Degrees. Found. Comput. Math. Dominik Schötzau, Christoph Schwab
2018	J	`jnl`	Large deformation shape uncertainty quantification in acoustic scattering. Adv. Comput. Math. Ralf Hiptmair, Laura Scarabosio, Claudia Schillings, Christoph Schwab
2018	J	`jnl`	Quantized tensor-structured finite elements for second-order elliptic PDEs in two dimensions. Numerische Mathematik Vladimir A. Kazeev, Christoph Schwab
2018	J	`jnl`	Quasi-Monte Carlo Integration for Affine-Parametric, Elliptic PDEs: Local Supports and Product Weights. SIAM J. Numer. Anal. Robert N. Gantner, Lukas Herrmann, Christoph Schwab
2018	J	`jnl`	Shape Holomorphy of the Stationary Navier-Stokes Equations. SIAM J. Math. Anal. Albert Cohen, Christoph Schwab, Jakob Zech
2017	J	`jnl`	Compressive sensing Petrov-Galerkin approximation of high-dimensional parametric operator equations. Math. Comput. Holger Rauhut, Christoph Schwab
2017	J	`jnl`	Covariance regularity and \(\mathcal {H}\) -matrix approximation for rough random fields. Numerische Mathematik Jürgen Dölz, Helmut Harbrecht, Christoph Schwab
2017	J	`jnl`	Fractional Space-Time Variational Formulations of (Navier-) Stokes Equations. SIAM J. Math. Anal. Christoph Schwab, Rob Stevenson
2017	J	`jnl`	Fully Discrete Approximation of Parametric and Stochastic Elliptic PDEs. SIAM J. Numer. Anal. Markus Bachmayr, Albert Cohen, Dinh Dung, Christoph Schwab
2017	J	`jnl`	Multilevel Quasi-Monte Carlo methods for lognormal diffusion problems. Math. Comput. Frances Y. Kuo, Robert Scheichl, Christoph Schwab, Ian H. Sloan, Elisabeth Ullmann
2017	J	`jnl`	QTT-finite-element approximation for multiscale problems I: model problems in one dimension. Adv. Comput. Math. Vladimir A. Kazeev, Ivan V. Oseledets, Maksim Rakhuba, Christoph Schwab
2017	J	`jnl`	Symmetric Interior Penalty Discontinuous Galerkin Methods for Elliptic Problems in Polygons. SIAM J. Numer. Anal. Fabian L. Müller, Dominik Schötzau, Christoph Schwab
2016	J	`jnl`	Higher Order Quasi-Monte Carlo Integration for Holomorphic, Parametric Operator Equations. SIAM/ASA J. Uncertain. Quantification Josef Dick, Quoc Thong Le Gia, Christoph Schwab
2016	J	`jnl`	Multi-level Monte Carlo finite volume methods for uncertainty quantification of acoustic wave propagation in random heterogeneous layered medium. J. Comput. Phys. Siddhartha Mishra, Christoph Schwab, Jonas Sukys
2016	J	`jnl`	Multilevel Higher Order QMC Petrov-Galerkin Discretization for Affine Parametric Operator Equations. SIAM J. Numer. Anal. Josef Dick, Frances Y. Kuo, Quoc Thong Le Gia, Christoph Schwab
2016	J	`jnl`	Numerical Solution of Scalar Conservation Laws with Random Flux Functions. SIAM/ASA J. Uncertain. Quantification Siddhartha Mishra, Nils Henrik Risebro, Christoph Schwab, Svetlana V. Tokareva
2016	J	`jnl`	Sparse Adaptive Tensor Galerkin Approximations of Stochastic PDE-Constrained Control Problems. SIAM/ASA J. Uncertain. Quantification Angela Kunoth, Christoph Schwab
2016	J	`jnl`	Sparse-grid, reduced-basis Bayesian inversion: Nonaffine-parametric nonlinear equations. J. Comput. Phys. Peng Chen, Christoph Schwab
2016	J	`jnl`	hp-dGFEM for second-order mixed elliptic problems in polyhedra. Math. Comput. Dominik Schötzau, Christoph Schwab, Thomas P. Wihler
2015	J	`jnl`	Efficient Characterization of Parametric Uncertainty of Complex (Bio)chemical Networks. PLoS Comput. Biol. Claudia Schillings, Mikael Sunnåker, Jörg Stelling, Christoph Schwab
2015	J	`jnl`	Fast QMC Matrix-Vector Multiplication. SIAM J. Sci. Comput. Josef Dick, Frances Y. Kuo, Quoc Thong Le Gia, Christoph Schwab
2015	J	`jnl`	Finite Elements with mesh refinement for wave equations in polygons. J. Comput. Appl. Math. Fabian L. Müller, Christoph Schwab
2015	J	`jnl`	Intrinsic fault tolerance of multilevel Monte Carlo methods. J. Parallel Distributed Comput. Stefan Pauli, Peter Arbenz, Christoph Schwab
2015	J	`jnl`	Multi-level Quasi-Monte Carlo Finite Element Methods for a Class of Elliptic PDEs with Random Coefficients. Found. Comput. Math. Frances Y. Kuo, Christoph Schwab, Ian H. Sloan
2015	J	`jnl`	Quadrature algorithms for high dimensional singular integrands on simplices. Numer. Algorithms Alexey Chernov, Tobias von Petersdorff, Christoph Schwab
2015	J	`jnl`	Quasi-Monte Carlo finite element methods for elliptic PDEs with lognormal random coefficients. Numerische Mathematik Ivan G. Graham, Frances Y. Kuo, James A. Nichols, Robert Scheichl, Christoph Schwab, Ian H. Sloan
2015	J	`jnl`	Tensor Approximation of Stationary Distributions of Chemical Reaction Networks. SIAM J. Matrix Anal. Appl. Vladimir A. Kazeev, Christoph Schwab
2014	—	`conf`	Computational Higher Order Quasi-Monte Carlo Integration. MCQMC Robert N. Gantner, Christoph Schwab
2014	J	`jnl`	Direct Solution of the Chemical Master Equation Using Quantized Tensor Trains. PLoS Comput. Biol. Vladimir A. Kazeev, Mustafa Khammash, Michael Nip, Christoph Schwab
2014	J	`jnl`	High-Dimensional Adaptive Sparse Polynomial Interpolation and Applications to Parametric PDEs. Found. Comput. Math. Abdellah Chkifa, Albert Cohen, Christoph Schwab
2014	J	`jnl`	High-order finite element approximation for partial differential equations. Comput. Math. Appl. Alexey Chernov, Christoph Schwab
2014	J	`jnl`	Higher Order QMC Petrov-Galerkin Discretization for Affine Parametric Operator Equations with Random Field Inputs. SIAM J. Numer. Anal. Josef Dick, Frances Y. Kuo, Quoc Thong Le Gia, Dirk Nuyens, Christoph Schwab
2014	J	`jnl`	Multilevel Monte Carlo Finite Element Methods for Stochastic Elliptic Variational Inequalities. SIAM J. Numer. Anal. Ralf Kornhuber, Christoph Schwab, Maren-Wanda Wolf
2014	—	`conf`	Multilevel Monte Carlo Simulation of Statistical Solutions to the Navier-Stokes Equations. MCQMC Andrea Barth, Christoph Schwab, Jonas Sukys
2014	J	`jnl`	Optimality of adaptive Galerkin methods for random parabolic partial differential equations. J. Comput. Appl. Math. Claude Jeffrey Gittelson, Roman Andreev, Christoph Schwab
2013	J	`jnl`	Analytic Regularity and GPC Approximation for Control Problems Constrained by Linear Parametric Elliptic and Parabolic PDEs. SIAM J. Control. Optim. Angela Kunoth, Christoph Schwab
2013	J	`jnl`	First order k-th moment finite element analysis of nonlinear operator equations with stochastic data. Math. Comput. Alexey Chernov, Christoph Schwab
2013	—	`ch.`	Multi-level Monte Carlo Finite Volume Methods for Uncertainty Quantification in Nonlinear Systems of Balance Laws. Uncertainty Quantification in Computational Fluid Dynamics Siddhartha Mishra, Christoph Schwab, Jonas Sukys
2013	J	`jnl`	Multilevel Monte Carlo Methods for Stochastic Elliptic Multiscale PDEs. Multiscale Model. Simul. Assyr Abdulle, Andrea Barth, Christoph Schwab
2013	J	`jnl`	Sparse Tensor Galerkin Discretization of Parametric and Random Parabolic PDEs - Analytic Regularity and Generalized Polynomial Chaos Approximation. SIAM J. Math. Anal. Viet Ha Hoang, Christoph Schwab
2013	J	`jnl`	The multi-level Monte Carlo finite element method for a stochastic Brinkman Problem. Numerische Mathematik Claude Jeffrey Gittelson, Juho Könnö, Christoph Schwab, Rolf Stenberg
2013	—	`book`	Uncertainty Quantification in Computational Fluid Dynamics Hester Bijl, Didier Lucor, Siddhartha Mishra, Christoph Schwab
2013	J	`jnl`	hp-DGFEM for Second Order Elliptic Problems in Polyhedra II: Exponential Convergence. SIAM J. Numer. Anal. Dominik Schötzau, Christoph Schwab, Thomas P. Wihler
2013	J	`jnl`	hp-dGFEM for Second-Order Elliptic Problems in Polyhedra I: Stability on Geometric Meshes. SIAM J. Numer. Anal. Dominik Schötzau, Christoph Schwab, Thomas P. Wihler
2012	J	`jnl`	Adaptive Petrov-Galerkin Methods for First Order Transport Equations. SIAM J. Numer. Anal. Wolfgang Dahmen, Chunyan Huang, Christoph Schwab, Gerrit Welper
2012	J	`jnl`	Exponential Convergence of Gauss-Jacobi Quadratures for Singular Integrals over Simplices in Arbitrary Dimension. SIAM J. Numer. Anal. Alexey Chernov, Christoph Schwab
2012	J	`jnl`	Multi-level Monte Carlo finite volume methods for nonlinear systems of conservation laws in multi-dimensions. J. Comput. Phys. Siddhartha Mishra, Christoph Schwab, Jonas Sukys
2012	J	`jnl`	Multilevel Monte Carlo Finite Volume Methods for Shallow Water Equations with Uncertain Topography in Multi-dimensions. SIAM J. Sci. Comput. Siddhartha Mishra, Christoph Schwab, Jonas Sukys
2012	J	`jnl`	Quasi-Monte Carlo Finite Element Methods for a Class of Elliptic Partial Differential Equations with Random Coefficients. SIAM J. Numer. Anal. Frances Y. Kuo, Christoph Schwab, Ian H. Sloan
2012	Misc	`conf`	Sparse Approximation Algorithms for High Dimensional Parametric Initial Value Problems. HPSC Markus Hansen, Claudia Schillings, Christoph Schwab
2012	J	`jnl`	Sparse tensor multi-level Monte Carlo finite volume methods for hyperbolic conservation laws with random initial data. Math. Comput. Siddhartha Mishra, Christoph Schwab
2011	J	`jnl`	A multiscale hp-FEM for 2D photonic crystal bands. J. Comput. Phys. Holger Brandsmeier, Kersten Schmidt, Christoph Schwab
2011	—	`—`	Combining and extending concepts of single display groupware and tangible user interfaces for intuitive collaboration. Christoph Schwab
2011	J	`jnl`	Fast evaluation of nonlinear functionals of tensor product wavelet expansions. Numerische Mathematik Christoph Schwab, Rob Stevenson
2011	J	`jnl`	Multi-level Monte Carlo Finite Element method for elliptic PDEs with stochastic coefficients. Numerische Mathematik Andrea Barth, Christoph Schwab, Nathaniel Zollinger
2011	J	`jnl`	Sparse Discrete Ordinates Method in Radiative Transfer. Comput. Methods Appl. Math. Konstantin Grella, Christoph Schwab
2011	J	`jnl`	Sparse tensor discretizations of high-dimensional parametric and stochastic PDEs. Acta Numer. Christoph Schwab, Claude Jeffrey Gittelson
2011	J	`jnl`	Sparse tensor spherical harmonics approximation in radiative transfer. J. Comput. Phys. Konstantin Grella, Christoph Schwab
2011	—	`conf`	Static Load Balancing for Multi-level Monte Carlo Finite Volume Solvers. PPAM (1) Jonas Sukys, Siddhartha Mishra, Christoph Schwab
2011	J	`jnl`	Tensor-Structured Galerkin Approximation of Parametric and Stochastic Elliptic PDEs. SIAM J. Sci. Comput. Boris N. Khoromskij, Christoph Schwab
2010	J	`jnl`	Convergence Rates of Best Found. Comput. Math. Albert Cohen, Ronald A. DeVore, Christoph Schwab
2010	J	`jnl`	On Kolmogorov equations for anisotropic multivariate Lévy processes. Finance Stochastics Nils Reich, Christoph Schwab, Christoph Winter
2009	J	`jnl`	Numerical methods for Lévy processes. Finance Stochastics Norbert Hilber, Nils Reich, Christoph Schwab, Christoph Winter
2009	J	`jnl`	Space-time adaptive wavelet methods for parabolic evolution problems. Math. Comput. Christoph Schwab, Rob P. Stevenson
2009	J	`jnl`	Sparse Tensor Discretization of Elliptic sPDEs. SIAM J. Sci. Comput. Marcel Bieri, Roman Andreev, Christoph Schwab
2008	J	`jnl`	Adaptive wavelet algorithms for elliptic PDE's on product domains. Math. Comput. Christoph Schwab, Rob P. Stevenson
2008	J	`jnl`	Multilevel frames for sparse tensor product spaces. Numerische Mathematik Helmut Harbrecht, Reinhold Schneider, Christoph Schwab
2008	J	`jnl`	Sparse adaptive finite elements for radiative transfer. J. Comput. Phys. Gisela Widmer, Ralf Hiptmair, Christoph Schwab
2008	J	`jnl`	Sparse second moment analysis for elliptic problems in stochastic domains. Numerische Mathematik Helmut Harbrecht, Reinhold Schneider, Christoph Schwab
2006	J	`jnl`	Karhunen-Loève approximation of random fields by generalized fast multipole methods. J. Comput. Phys. Christoph Schwab, Radu Alexandru Todor
2006	J	`jnl`	Linear Complexity Solution of Parabolic Integro-differential Equations. Numerische Mathematik Ana-Maria Matache, Christoph Schwab, Thomas P. Wihler
2006	J	`jnl`	Wavelet Filtering for Exact Controllability of the Wave Equation. SIAM J. Sci. Comput. Mihaela Negreanu, Ana-Maria Matache, Christoph Schwab
2005	J	`jnl`	Fast Numerical Solution of Parabolic Integrodifferential Equations with Applications in Finance. SIAM J. Sci. Comput. Ana-Maria Matache, Christoph Schwab, Thomas P. Wihler
2005	J	`jnl`	Heterogeneous Multiscale FEM for Diffusion Problems on Rough Surfaces. Multiscale Model. Simul. Assyr Abdulle, Christoph Schwab
2005	J	`jnl`	High-Dimensional Finite Elements for Elliptic Problems with Multiple Scales. Multiscale Model. Simul. Viet Ha Hoang, Christoph Schwab
2005	J	`jnl`	Multiresolution weighted norm equivalences and applications. Numerische Mathematik Sven Beuchler, Reinhold Schneider, Christoph Schwab
2004	J	`jnl`	Multiresolution weighted norm equivalences and applications. Numerische Mathematik Sven Beuchler, Reinhold Schneider, Christoph Schwab
2003	J	`jnl`	Boundary Element Methods for Maxwell Transmission Problems in Lipschitz Domains. Numerische Mathematik Annalisa Buffa, Ralf Hiptmair, Tobias von Petersdorff, Christoph Schwab
2003	J	`jnl`	Higher-Order Convex Approximations of Young Measures in Optimal Control. Adv. Comput. Math. Ana-Maria Matache, Tomás Roubícek, Christoph Schwab
2003	J	`jnl`	Mixed Numerische Mathematik Andrea Toselli, Christoph Schwab
2003	J	`jnl`	On some aspects of the discontinuous Galerkin finite element method for conservation laws. Math. Comput. Simul. Vít Dolejsí, Miloslav Feistauer, Christoph Schwab
2003	J	`jnl`	Sparse Finite Elements for Stochastic Elliptic Problems - Higher Order Moments. Computing Christoph Schwab, Radu Alexandru Todor
2003	J	`jnl`	Sparse finite elements for elliptic problems with stochastic loading. Numerische Mathematik Christoph Schwab, Radu Alexandru Todor
2003	J	`jnl`	Wavelet Discretizations of Parabolic Integrodifferential Equations. SIAM J. Numer. Anal. Tobias von Petersdorff, Christoph Schwab
2002	J	`jnl`	Boundary element methods for Maxwell's equations on non-smooth domains. Numerische Mathematik Annalisa Buffa, Martin Costabel, Christoph Schwab
2002	J	`jnl`	Discontinuous SIAM J. Numer. Anal. Paul Houston, Christoph Schwab, Endre Süli
2002	J	`jnl`	Local Discontinuous Galerkin Methods for the Stokes System. SIAM J. Numer. Anal. Bernardo Cockburn, Guido Kanschat, Dominik Schötzau, Christoph Schwab
2002	J	`jnl`	Mixed SIAM J. Numer. Anal. Dominik Schötzau, Christoph Schwab, Andrea Toselli
2002	J	`jnl`	Natural Boundary Element Methods for the Electric Field Integral Equation on Polyhedra. SIAM J. Numer. Anal. Ralf Hiptmair, Christoph Schwab
2002	J	`jnl`	Optimal a priori error estimates for the hp-version of the local discontinuous Galerkin method for convection-diffusion problems. Math. Comput. Paul Castillo, Bernardo Cockburn, Dominik Schötzau, Christoph Schwab
2000	J	`jnl`	Generalized p-FEM in homogenization. Numerische Mathematik Ana-Maria Matache, Ivo Babuska, Christoph Schwab
2000	J	`jnl`	Spectral Galerkin Discretization for Hydrodynamic Stability Problems. Computing Jens Markus Melenk, N. P. Kirchner, Christoph Schwab
2000	J	`jnl`	Stabilized SIAM J. Numer. Anal. Paul Houston, Christoph Schwab, Endre Süli
2000	J	`jnl`	Time Discretization of Parabolic Problems by the HP-Version of the Discontinuous Galerkin Finite Element Method. SIAM J. Numer. Anal. Dominik Schötzau, Christoph Schwab
1999	J	`jnl`	Mixed hp-FEM on anisotropic meshes II: Hanging nodes and tensor products of boundary layer meshes. Numerische Mathematik Dominik Schötzau, Christoph Schwab, Rolf Stenberg
1999	J	`jnl`	On the extraction technique in boundary integral equations. Math. Comput. Christoph Schwab, Wolfgang L. Wendland
1999	J	`jnl`	Wavelet Galerkin Algorithms for Boundary Integral Equations. SIAM J. Sci. Comput. Christian Lage, Christoph Schwab
1996	J	`jnl`	The p and hp versions of the finite element method for problems with boundary layers. Math. Comput. Christoph Schwab, Manil Suri
1994	J	`jnl`	Variable order composite quadrature of singular and nearly singular integrals. Computing Christoph Schwab
1992	J	`jnl`	Numerical evaluation of singular and finite-part integrals on curved surfaces using symbolic manipulation. Computing Ralf Kieser, Christoph Schwab, Wolfgang L. Wendland