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ORCIDReinhold Schneider
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2020 – today
- 2023
[j47]Michael Griebel, Helmut Harbrecht, Reinhold Schneider:
Low-rank approximation of continuous functions in Sobolev spaces with dominating mixed smoothness. Math. Comput. 92(342): 1729-1746 (2023)- [j46]Martin Eigel, Reinhold Schneider, David Sommer:
Dynamical low-rank approximations of solutions to the Hamilton-Jacobi-Bellman equation. Numer. Linear Algebra Appl. 30(3) (2023) - 2022
- [j45]Konstantin Fackeldey
, Mathias Oster, Leon Sallandt, Reinhold Schneider:
Approximative Policy Iteration for Exit Time Feedback Control Problems Driven by Stochastic Differential Equations using Tensor Train Format. Multiscale Model. Simul. 20(1): 379-403 (2022) - [j44]Mathias Oster, Leon Sallandt, Reinhold Schneider:
Approximating Optimal feedback Controllers of Finite Horizon Control Problems Using Hierarchical Tensor Formats. SIAM J. Sci. Comput. 44(3): 746- (2022) - [i10]Michael Griebel, Helmut Harbrecht, Reinhold Schneider:
Low-rank approximation of continuous functions in Sobolev spaces with dominating mixed smoothness. CoRR abs/2203.04100 (2022) - 2021
- [j43]Michael Götte, Reinhold Schneider, Philipp Trunschke:
A Block-Sparse Tensor Train Format for Sample-Efficient High-Dimensional Polynomial Regression. Frontiers Appl. Math. Stat. 7: 702486 (2021) - [j42]Moritz Geist, Philipp Petersen, Mones Raslan, Reinhold Schneider, Gitta Kutyniok:
Numerical Solution of the Parametric Diffusion Equation by Deep Neural Networks. J. Sci. Comput. 88(1): 22 (2021) - [i9]Mathias Oster, Leon Sallandt, Reinhold Schneider:
Approximating optimal feedback controllers of finite horizon control problems using hierarchical tensor formats. CoRR abs/2104.06108 (2021) - [i8]Michael Götte, Reinhold Schneider, Philipp Trunschke:
A block-sparse Tensor Train Format for sample-efficient high-dimensional Polynomial Regression. CoRR abs/2104.14255 (2021) - [i7]Markus Bachmayr, Anthony Nouy, Reinhold Schneider:
Approximation by tree tensor networks in high dimensions: Sobolev and compositional functions. CoRR abs/2112.01474 (2021) - 2020
- [j41]Martin Eigel, Manuel Marschall, Max Pfeffer, Reinhold Schneider:
Adaptive stochastic Galerkin FEM for lognormal coefficients in hierarchical tensor representations. Numerische Mathematik 145(3): 655-692 (2020) - [i6]Martin Eigel, Reinhold Schneider, Philipp Trunschke:
Convergence bounds for empirical nonlinear least-squares. CoRR abs/2001.00639 (2020) - [i5]Moritz Geist, Philipp Petersen, Mones Raslan, Reinhold Schneider, Gitta Kutyniok:
Numerical Solution of the Parametric Diffusion Equation by Deep Neural Networks. CoRR abs/2004.12131 (2020)
2010 – 2019
- 2019
- [j40]Martin Eigel, Reinhold Schneider, Philipp Trunschke, Sebastian Wolf:
Variational Monte Carlo - bridging concepts of machine learning and high-dimensional partial differential equations. Adv. Comput. Math. 45(5): 2503-2532 (2019) - [j39]Martin Eigel, Johannes Neumann, Reinhold Schneider, Sebastian Wolf:
Non-intrusive Tensor Reconstruction for High-Dimensional Random PDEs. Comput. Methods Appl. Math. 19(1): 39-53 (2019) - [j38]Fabian M. Faulstich, Andre Laestadius, Örs Legeza, Reinhold Schneider, Simen Kvaal:
Analysis of the Tailored Coupled-Cluster Method in Quantum Chemistry. SIAM J. Numer. Anal. 57(6): 2579-2607 (2019) - [i4]Gitta Kutyniok, Philipp Petersen, Mones Raslan, Reinhold Schneider:
A Theoretical Analysis of Deep Neural Networks and Parametric PDEs. CoRR abs/1904.00377 (2019) - 2017
- [j37]Markus Bachmayr, Reinhold Schneider:
Iterative Methods Based on Soft Thresholding of Hierarchical Tensors. Found. Comput. Math. 17(4): 1037-1083 (2017) - [j36]Martin Eigel, Max Pfeffer, Reinhold Schneider:
Adaptive stochastic Galerkin FEM with hierarchical tensor representations. Numerische Mathematik 136(3): 765-803 (2017) - 2016
- [j35]Helmut Harbrecht, Reinhold Schneider:
A Note on Multilevel Based Error Estimation. Comput. Methods Appl. Math. 16(3): 447-458 (2016) - [j34]Markus Bachmayr, Reinhold Schneider, André Uschmajew:
Tensor Networks and Hierarchical Tensors for the Solution of High-Dimensional Partial Differential Equations. Found. Comput. Math. 16(6): 1423-1472 (2016) - [i3]Holger Rauhut, Reinhold Schneider, Zeljka Stojanac:
Low rank tensor recovery via iterative hard thresholding. CoRR abs/1602.05217 (2016) - 2015
- [j33]Reinhold Schneider, André Uschmajew:
Convergence Results for Projected Line-Search Methods on Varieties of Low-Rank Matrices Via Łojasiewicz Inequality. SIAM J. Optim. 25(1): 622-646 (2015) - 2014
- [j32]Reinhold Schneider, André Uschmajew:
Approximation rates for the hierarchical tensor format in periodic Sobolev spaces. J. Complex. 30(2): 56-71 (2014) - [j31]Markus Bachmayr, Huajie Chen, Reinhold Schneider:
Error estimates for Hermite and even-tempered Gaussian approximations in quantum chemistry. Numerische Mathematik 128(1): 137-165 (2014) - [i2]Reinhold Schneider, André Uschmajew:
Convergence results for projected line-search methods on varieties of low-rank matrices via Łojasiewicz inequality. CoRR abs/1402.5284 (2014) - [i1]Holger Rauhut, Reinhold Schneider, Zeljka Stojanac:
Tensor completion in hierarchical tensor representations. CoRR abs/1404.3905 (2014) - 2013
- [j30]Christian Lubich, Thorsten Rohwedder, Reinhold Schneider, Bart Vandereycken:
Dynamical Approximation by Hierarchical Tucker and Tensor-Train Tensors. SIAM J. Matrix Anal. Appl. 34(2): 470-494 (2013) - [j29]Venera Khoromskaia, Boris N. Khoromskij, Reinhold Schneider:
Tensor-Structured Factorized Calculation of Two-Electron Integrals in a General Basis. SIAM J. Sci. Comput. 35(2) (2013) - 2012
- [j28]Sebastian Holtz, Thorsten Rohwedder, Reinhold Schneider:
On manifolds of tensors of fixed TT-rank. Numerische Mathematik 120(4): 701-731 (2012) - [j27]Mike Espig, Wolfgang Hackbusch, Thorsten Rohwedder, Reinhold Schneider:
Variational calculus with sums of elementary tensors of fixed rank. Numerische Mathematik 122(3): 469-488 (2012) - [j26]Sebastian Holtz, Thorsten Rohwedder, Reinhold Schneider:
The Alternating Linear Scheme for Tensor Optimization in the Tensor Train Format. SIAM J. Sci. Comput. 34(2) (2012) - 2011
- [j25]Thorsten Rohwedder, Reinhold Schneider, Andreas Zeiser:
Perturbed preconditioned inverse iteration for operator eigenvalue problems with applications to adaptive wavelet discretization. Adv. Comput. Math. 34(1): 43-66 (2011) - [j24]Venera Khoromskaia, Boris N. Khoromskij, Reinhold Schneider:
QTT Representation of the Hartree and Exchange Operators in Electronic Structure Calculations. Comput. Methods Appl. Math. 11(3): 327-341 (2011) - [j23]Mike Espig, Wolfgang Hackbusch, Stefan Handschuh, Reinhold Schneider:
Optimization problems in contracted tensor networks. Comput. Vis. Sci. 14(6): 271-285 (2011)
2000 – 2009
- 2009
- [j22]Reinhold Schneider:
Analysis of the projected coupled cluster method in electronic structure calculation. Numerische Mathematik 113(3): 433-471 (2009) - 2008
- [j21]Helmut Harbrecht, Reinhold Schneider, Christoph Schwab:
Sparse second moment analysis for elliptic problems in stochastic domains. Numerische Mathematik 109(3): 385-414 (2008) - [j20]Helmut Harbrecht, Reinhold Schneider, Christoph Schwab:
Multilevel frames for sparse tensor product spaces. Numerische Mathematik 110(2): 199 (2008) - [j19]Wolfgang Dahmen, Thorsten Rohwedder, Reinhold Schneider, Andreas Zeiser:
Adaptive eigenvalue computation: complexity estimates. Numerische Mathematik 110(3): 277 (2008) - 2007
- [j18]Michael Gnewuch, René Lindloh, Reinhold Schneider, Anand Srivastav:
Cubature formulas for function spaces with moderate smoothness. J. Complex. 23(4-6): 828-850 (2007) - [j17]Wolfgang Dahmen, Helmut Harbrecht, Reinhold Schneider:
Adaptive methods for boundary integral equations: Complexity and convergence estimates. Math. Comput. 76(259): 1243-1274 (2007) - [j16]Arne Barinka, Wolfgang Dahmen, Reinhold Schneider:
Fast computation of adaptive wavelet expansions. Numerische Mathematik 105(4): 549-589 (2007) - [j15]Karsten Eppler, Helmut Harbrecht, Reinhold Schneider:
On Convergence in Elliptic Shape Optimization. SIAM J. Control. Optim. 46(1): 61-83 (2007) - 2006
- [j14]Reinhold Schneider, Yuesheng Xu, Aihui Zhou:
An analysis of discontinuous Galerkin methods for elliptic problems. Adv. Comput. Math. 25(1-3): 259-286 (2006) - [j13]Wolfgang Dahmen, Helmut Harbrecht, Reinhold Schneider:
Compression Techniques for Boundary Integral Equations - Asymptotically Optimal Complexity Estimates. SIAM J. Numer. Anal. 43(6): 2251-2271 (2006) - [j12]Helmut Harbrecht, Reinhold Schneider:
Wavelet Galerkin Schemes for Boundary Integral Equations-Implementation and Quadrature. SIAM J. Sci. Comput. 27(4): 1347-1370 (2006) - 2005
- [j11]Sven Beuchler, Reinhold Schneider, Christoph Schwab:
Multiresolution weighted norm equivalences and applications. Numerische Mathematik 102(2): 365-366 (2005) - 2004
- [j10]Sven Beuchler, Reinhold Schneider, Christoph Schwab:
Multiresolution weighted norm equivalences and applications. Numerische Mathematik 98(1): 67-97 (2004) - 2003
- [j9]Helmut Harbrecht, Freddy Paiva, Cristian Pérez, Reinhold Schneider:
Multiscale preconditioning for the coupling of FEM-BEM. Numer. Linear Algebra Appl. 10(3): 197-222 (2003) - [j8]Helmut Harbrecht, Sergei V. Pereverzev, Reinhold Schneider:
Self-regularization by projection for noisy pseudodifferential equations of negative order. Numerische Mathematik 95(1): 123-143 (2003) - [j7]Gabriel N. Gatica, Helmut Harbrecht, Reinhold Schneider:
Least Squares Methods for the Coupling of FEM and BEM. SIAM J. Numer. Anal. 41(5): 1974-1995 (2003) - 2002
- [j6]Helmut Harbrecht, Freddy Paiva, Cristian Pérez, Reinhold Schneider:
Biorthogonal wavelet approximation for the coupling of FEM-BEM. Numerische Mathematik 92(2): 325-356 (2002) - [j5]Wolfgang Dahmen, Angela Kunoth, Reinhold Schneider:
Wavelet Least Squares Methods for Boundary Value Problems. SIAM J. Numer. Anal. 39(6): 1985-2013 (2002) - 2000
- [j4]Wolfgang Dahmen, Reinhold Schneider, Yuesheng Xu:
Nonlinear functionals of wavelet expansions - adaptive reconstruction and fast evaluation. Numerische Mathematik 86(1): 49-101 (2000)
1990 – 1999
- 1999
- [j3]Wolfgang Dahmen, Reinhold Schneider:
Composite wavelet bases for operator equations. Math. Comput. 68(228): 1533-1567 (1999) - [j2]Wolfgang Dahmen, Reinhold Schneider:
Wavelets on Manifolds I: Construction and Domain Decomposition. SIAM J. Math. Anal. 31(1): 184-230 (1999) - 1993
- [j1]Wolfgang Dahmen, S. Prössdorf, Reinhold Schneider:
Wavelet approximation methods for pseudodifferential equations II: Matrix compression and fast solution. Adv. Comput. Math. 1(3): 259-335 (1993)
Coauthor Index
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