Wavelet approximation methods for pseudodifferential equations II: Matrix compression and fast solution. - Wolfgang Dahmen; S. Prössdorf; Reinhold Schneider (Adv. Comput. Math., 1993)

Composite wavelet bases for operator equations. - Wolfgang Dahmen; Reinhold Schneider (Math. Comput., 1999)

Wavelets on Manifolds I: Construction and Domain Decomposition. - Wolfgang Dahmen; Reinhold Schneider (SIAM J. Math. Anal., 1999)

Nonlinear functionals of wavelet expansions - adaptive reconstruction and fast evaluation. - Wolfgang Dahmen; Reinhold Schneider; Yuesheng Xu (Numerische Mathematik, 2000)

Biorthogonal wavelet approximation for the coupling of FEM-BEM. - Helmut Harbrecht; Freddy Paiva; Cristian Pérez; Reinhold Schneider (Numerische Mathematik, 2002)

Wavelet Least Squares Methods for Boundary Value Problems. - Wolfgang Dahmen; Angela Kunoth; Reinhold Schneider (SIAM J. Numer. Anal., 2002)

Multiscale preconditioning for the coupling of FEM-BEM. - Helmut Harbrecht; Freddy Paiva; Cristian Pérez; Reinhold Schneider (Numer. Linear Algebra Appl., 2003)

Self-regularization by projection for noisy pseudodifferential equations of negative order. - Helmut Harbrecht; Sergei V. Pereverzev; Reinhold Schneider (Numerische Mathematik, 2003)

Least Squares Methods for the Coupling of FEM and BEM. - Gabriel N. Gatica; Helmut Harbrecht; Reinhold Schneider (SIAM J. Numer. Anal., 2003)

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

An analysis of discontinuous Galerkin methods for elliptic problems. - Reinhold Schneider; Yuesheng Xu; Aihui Zhou (Adv. Comput. Math., 2006)

Compression Techniques for Boundary Integral Equations - Asymptotically Optimal Complexity Estimates. - Wolfgang Dahmen; Helmut Harbrecht; Reinhold Schneider (SIAM J. Numer. Anal., 2006)

Wavelet Galerkin Schemes for Boundary Integral Equations-Implementation and Quadrature. - Helmut Harbrecht; Reinhold Schneider (SIAM J. Sci. Comput., 2006)

Cubature formulas for function spaces with moderate smoothness. - Michael Gnewuch; René Lindloh; Reinhold Schneider; Anand Srivastav (J. Complex., 2007)

Adaptive methods for boundary integral equations: Complexity and convergence estimates. - Wolfgang Dahmen; Helmut Harbrecht; Reinhold Schneider (Math. Comput., 2007)

Fast computation of adaptive wavelet expansions. - Arne Barinka; Wolfgang Dahmen; Reinhold Schneider (Numerische Mathematik, 2007)

On Convergence in Elliptic Shape Optimization. - Karsten Eppler; Helmut Harbrecht; Reinhold Schneider (SIAM J. Control. Optim., 2007)

Adaptive eigenvalue computation: complexity estimates. - Wolfgang Dahmen; Thorsten Rohwedder; Reinhold Schneider; Andreas Zeiser (Numerische Mathematik, 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)

Analysis of the projected coupled cluster method in electronic structure calculation. - Reinhold Schneider (Numerische Mathematik, 2009)

Perturbed preconditioned inverse iteration for operator eigenvalue problems with applications to adaptive wavelet discretization. - Thorsten Rohwedder; Reinhold Schneider; Andreas Zeiser (Adv. Comput. Math., 2011)

QTT Representation of the Hartree and Exchange Operators in Electronic Structure Calculations. - Venera Khoromskaia; Boris N. Khoromskij; Reinhold Schneider (Comput. Methods Appl. Math., 2011)

Optimization problems in contracted tensor networks. - Mike Espig; Wolfgang Hackbusch; Stefan Handschuh; Reinhold Schneider (Comput. Vis. Sci., 2011)

Variational calculus with sums of elementary tensors of fixed rank. - Mike Espig; Wolfgang Hackbusch; Thorsten Rohwedder; Reinhold Schneider (Numerische Mathematik, 2012)

On manifolds of tensors of fixed TT-rank. - Sebastian Holtz; Thorsten Rohwedder; Reinhold Schneider (Numerische Mathematik, 2012)

The Alternating Linear Scheme for Tensor Optimization in the Tensor Train Format. - Sebastian Holtz; Thorsten Rohwedder; Reinhold Schneider (SIAM J. Sci. Comput., 2012)

Dynamical Approximation by Hierarchical Tucker and Tensor-Train Tensors. - Christian Lubich; Thorsten Rohwedder; Reinhold Schneider; Bart Vandereycken (SIAM J. Matrix Anal. Appl., 2013)

Tensor-Structured Factorized Calculation of Two-Electron Integrals in a General Basis. - Venera Khoromskaia; Boris N. Khoromskij; Reinhold Schneider (SIAM J. Sci. Comput., 2013)

Tensor completion in hierarchical tensor representations. - Holger Rauhut; Reinhold Schneider; Zeljka Stojanac (CoRR, 2014)

Approximation rates for the hierarchical tensor format in periodic Sobolev spaces. - Reinhold Schneider; André Uschmajew (J. Complex., 2014)

Error estimates for Hermite and even-tempered Gaussian approximations in quantum chemistry. - Markus Bachmayr; Huajie Chen; Reinhold Schneider (Numerische Mathematik, 2014)

Convergence Results for Projected Line-Search Methods on Varieties of Low-Rank Matrices Via Łojasiewicz Inequality. - Reinhold Schneider; André Uschmajew (SIAM J. Optim., 2015)

A Note on Multilevel Based Error Estimation. - Helmut Harbrecht; Reinhold Schneider (Comput. Methods Appl. Math., 2016)

Low rank tensor recovery via iterative hard thresholding. - Holger Rauhut; Reinhold Schneider; Zeljka Stojanac (CoRR, 2016)

Tensor Networks and Hierarchical Tensors for the Solution of High-Dimensional Partial Differential Equations. - Markus Bachmayr; Reinhold Schneider; André Uschmajew (Found. Comput. Math., 2016)

Iterative Methods Based on Soft Thresholding of Hierarchical Tensors. - Markus Bachmayr; Reinhold Schneider (Found. Comput. Math., 2017)

Adaptive stochastic Galerkin FEM with hierarchical tensor representations. - Martin Eigel; Max Pfeffer; Reinhold Schneider (Numerische Mathematik, 2017)

Variational Monte Carlo - bridging concepts of machine learning and high-dimensional partial differential equations. - Martin Eigel; Reinhold Schneider; Philipp Trunschke; Sebastian Wolf (Adv. Comput. Math., 2019)

Non-intrusive Tensor Reconstruction for High-Dimensional Random PDEs. - Martin Eigel; Johannes Neumann; Reinhold Schneider; Sebastian Wolf (Comput. Methods Appl. Math., 2019)

A Theoretical Analysis of Deep Neural Networks and Parametric PDEs. - Gitta Kutyniok; Philipp Petersen; Mones Raslan; Reinhold Schneider (CoRR, 2019)

Analysis of the Tailored Coupled-Cluster Method in Quantum Chemistry. - Fabian M. Faulstich; Andre Laestadius; Örs Legeza; Reinhold Schneider; Simen Kvaal (SIAM J. Numer. Anal., 2019)

Convergence bounds for empirical nonlinear least-squares. - Martin Eigel; Reinhold Schneider; Philipp Trunschke (CoRR, 2020)

Adaptive stochastic Galerkin FEM for lognormal coefficients in hierarchical tensor representations. - Martin Eigel; Manuel Marschall; Max Pfeffer; Reinhold Schneider (Numerische Mathematik, 2020)

Approximation by tree tensor networks in high dimensions: Sobolev and compositional functions. - Markus Bachmayr; Anthony Nouy; Reinhold Schneider (CoRR, 2021)

A Block-Sparse Tensor Train Format for Sample-Efficient High-Dimensional Polynomial Regression. - Michael Götte; Reinhold Schneider; Philipp Trunschke (Frontiers Appl. Math. Stat., 2021)

Numerical Solution of the Parametric Diffusion Equation by Deep Neural Networks. - Moritz Geist; Philipp Petersen; Mones Raslan; Reinhold Schneider; Gitta Kutyniok (J. Sci. Comput., 2021)

Approximative Policy Iteration for Exit Time Feedback Control Problems Driven by Stochastic Differential Equations using Tensor Train Format. - Konstantin Fackeldey; Mathias Oster; Leon Sallandt; Reinhold Schneider (Multiscale Model. Simul., 2022)

Approximating Optimal feedback Controllers of Finite Horizon Control Problems Using Hierarchical Tensor Formats. - Mathias Oster; Leon Sallandt; Reinhold Schneider (SIAM J. Sci. Comput., 2022)

Low-rank approximation of continuous functions in Sobolev spaces with dominating mixed smoothness. - Michael Griebel; Helmut Harbrecht; Reinhold Schneider (Math. Comput., 2023)

Dynamical low-rank approximations of solutions to the Hamilton-Jacobi-Bellman equation. - Martin Eigel; Reinhold Schneider; David Sommer (Numer. Linear Algebra Appl., 2023)