Reinhold Schneider

According to our database, Reinhold Schneider authored at least 51 papers between 1993 and 2023.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of four.

2023

Dynamical low-rank approximations of solutions to the Hamilton-Jacobi-Bellman equation.

Martin Eigel, Reinhold Schneider, David Sommer

Numer. Linear Algebra Appl., May, 2023

Low-rank approximation of continuous functions in Sobolev spaces with dominating mixed smoothness.

Michael Griebel, Helmut Harbrecht, Reinhold Schneider

Math. Comput., February, 2023

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

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

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

A Block-Sparse Tensor Train Format for Sample-Efficient High-Dimensional Polynomial Regression.

Michael Götte, Reinhold Schneider, Philipp Trunschke

Frontiers Appl. Math. Stat., 2021

Approximation by tree tensor networks in high dimensions: Sobolev and compositional functions.

Markus Bachmayr, Anthony Nouy, Reinhold Schneider

CoRR, 2021

2020

Adaptive stochastic Galerkin FEM for lognormal coefficients in hierarchical tensor representations.

Martin Eigel, Manuel Marschall, Max Pfeffer, Reinhold Schneider

Numerische Mathematik, 2020

Convergence bounds for empirical nonlinear least-squares.

Martin Eigel, Reinhold Schneider, Philipp Trunschke

CoRR, 2020

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

A Theoretical Analysis of Deep Neural Networks and Parametric PDEs.

Gitta Kutyniok, Philipp Petersen, Mones Raslan, Reinhold Schneider

CoRR, 2019

Non-intrusive Tensor Reconstruction for High-Dimensional Random PDEs.

Martin Eigel, Johannes Neumann, Reinhold Schneider, Sebastian Wolf

Comput. Methods Appl. Math., 2019

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

2017

Adaptive stochastic Galerkin FEM with hierarchical tensor representations.

Martin Eigel, Max Pfeffer, Reinhold Schneider

Numerische Mathematik, 2017

Iterative Methods Based on Soft Thresholding of Hierarchical Tensors.

Markus Bachmayr, Reinhold Schneider

Found. Comput. Math., 2017

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

Low rank tensor recovery via iterative hard thresholding.

Holger Rauhut, Reinhold Schneider, Zeljka Stojanac

CoRR, 2016

A Note on Multilevel Based Error Estimation.

Helmut Harbrecht, Reinhold Schneider

Comput. Methods Appl. Math., 2016

2015

Convergence Results for Projected Line-Search Methods on Varieties of Low-Rank Matrices Via Łojasiewicz Inequality.

Reinhold Schneider, André Uschmajew

SIAM J. Optim., 2015

2014

Error estimates for Hermite and even-tempered Gaussian approximations in quantum chemistry.

Markus Bachmayr, Huajie Chen, Reinhold Schneider

Numerische Mathematik, 2014

Approximation rates for the hierarchical tensor format in periodic Sobolev spaces.

Reinhold Schneider, André Uschmajew

J. Complex., 2014

Tensor completion in hierarchical tensor representations.

Holger Rauhut, Reinhold Schneider, Zeljka Stojanac

CoRR, 2014

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

Dynamical Approximation by Hierarchical Tucker and Tensor-Train Tensors.

Christian Lubich, Thorsten Rohwedder, Reinhold Schneider, Bart Vandereycken

SIAM J. Matrix Anal. Appl., 2013

2012

The Alternating Linear Scheme for Tensor Optimization in the Tensor Train Format.

Sebastian Holtz, Thorsten Rohwedder, Reinhold Schneider

SIAM J. Sci. Comput., 2012

On manifolds of tensors of fixed TT-rank.

Sebastian Holtz, Thorsten Rohwedder, Reinhold Schneider

Numerische Mathematik, 2012

Variational calculus with sums of elementary tensors of fixed rank.

Mike Espig, Wolfgang Hackbusch, Thorsten Rohwedder, Reinhold Schneider

Numerische Mathematik, 2012

2011

Optimization problems in contracted tensor networks.

Mike Espig, Wolfgang Hackbusch, Stefan Handschuh, Reinhold Schneider

Comput. Vis. Sci., 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

Perturbed preconditioned inverse iteration for operator eigenvalue problems with applications to adaptive wavelet discretization.

Thorsten Rohwedder, Reinhold Schneider, Andreas Zeiser

Adv. Comput. Math., 2011

2009

Analysis of the projected coupled cluster method in electronic structure calculation.

Reinhold Schneider

Numerische Mathematik, 2009

2008

Sparse second moment analysis for elliptic problems in stochastic domains.

Helmut Harbrecht, Reinhold Schneider, Christoph Schwab

Numerische Mathematik, 2008

Multilevel frames for sparse tensor product spaces.

Helmut Harbrecht, Reinhold Schneider, Christoph Schwab

Numerische Mathematik, 2008

Adaptive eigenvalue computation: complexity estimates.

Wolfgang Dahmen, Thorsten Rohwedder, Reinhold Schneider, Andreas Zeiser

Numerische Mathematik, 2008

2007

On Convergence in Elliptic Shape Optimization.

Karsten Eppler, Helmut Harbrecht, Reinhold Schneider

SIAM J. Control. Optim., 2007

Fast computation of adaptive wavelet expansions.

Arne Barinka, Wolfgang Dahmen, Reinhold Schneider

Numerische Mathematik, 2007

Adaptive methods for boundary integral equations: Complexity and convergence estimates.

Wolfgang Dahmen, Helmut Harbrecht, Reinhold Schneider

Math. Comput., 2007

Cubature formulas for function spaces with moderate smoothness.

Michael Gnewuch, René Lindloh, Reinhold Schneider, Anand Srivastav

J. Complex., 2007

2006

Wavelet Galerkin Schemes for Boundary Integral Equations-Implementation and Quadrature.

Helmut Harbrecht, Reinhold Schneider

SIAM J. Sci. Comput., 2006

Compression Techniques for Boundary Integral Equations - Asymptotically Optimal Complexity Estimates.

Wolfgang Dahmen, Helmut Harbrecht, Reinhold Schneider

SIAM J. Numer. Anal., 2006

An analysis of discontinuous Galerkin methods for elliptic problems.

Reinhold Schneider, Yuesheng Xu, Aihui Zhou

Adv. Comput. Math., 2006

2005

Multiresolution weighted norm equivalences and applications.

Sven Beuchler, Reinhold Schneider, Christoph Schwab

Numerische Mathematik, 2005

2003

Least Squares Methods for the Coupling of FEM and BEM.

Gabriel N. Gatica, Helmut Harbrecht, Reinhold Schneider

SIAM J. Numer. Anal., 2003

Self-regularization by projection for noisy pseudodifferential equations of negative order.

Helmut Harbrecht, Sergei V. Pereverzev, Reinhold Schneider

Numerische Mathematik, 2003

Multiscale preconditioning for the coupling of FEM-BEM.

Helmut Harbrecht, Freddy Paiva, Cristian Pérez, Reinhold Schneider

Numer. Linear Algebra Appl., 2003

2002

Wavelet Least Squares Methods for Boundary Value Problems.

Wolfgang Dahmen, Angela Kunoth, Reinhold Schneider

SIAM J. Numer. Anal., 2002

Biorthogonal wavelet approximation for the coupling of FEM-BEM.

Helmut Harbrecht, Freddy Paiva, Cristian Pérez, Reinhold Schneider

Numerische Mathematik, 2002

2000

Nonlinear functionals of wavelet expansions - adaptive reconstruction and fast evaluation.

Wolfgang Dahmen, Reinhold Schneider, Yuesheng Xu

Numerische Mathematik, 2000

1999

Wavelets on Manifolds I: Construction and Domain Decomposition.

Wolfgang Dahmen, Reinhold Schneider

SIAM J. Math. Anal., 1999

Composite wavelet bases for operator equations.

Wolfgang Dahmen, Reinhold Schneider

Math. Comput., 1999

1993

Wavelet approximation methods for pseudodifferential equations II: Matrix compression and fast solution.

Wolfgang Dahmen, S. Prössdorf, Reinhold Schneider

Adv. Comput. Math., 1993