Edit Profile Schneider, Reinhold Compute Distance To: Compute Author ID: schneider.reinhold Published as: Schneider, R.; Schneider, Reinhold; Schneider, Reinnold Documents Indexed: 104 Publications since 1985, including 3 Books all top 5 Co-Authors 8 single-authored 20 Dahmen, Wolfgang A. 18 Harbrecht, Helmut 11 Prössdorf, Siegfried 9 Rohwedder, Thorsten 7 Hackbusch, Wolfgang 7 Schwab, Christoph 6 Eigel, Martin 6 Flad, Heinz-Jürgen 4 Kleemann, Bernd H. 3 Bachmayr, Markus 3 Chen, Huajie 3 Costabel, Martin 3 Khoromskij, Boris N. 3 Konik, Michael 3 Penzel, Frank 3 Pérez, Cristian 3 Uschmajew, André 3 Wolf, Sebastian 2 Beuchler, Sven 2 Dahlke, Stephan 2 Espig, Mike 2 Holtz, Sebastian 2 Khoromskaia, Venera 2 Kunoth, Angela 2 Marschall, Manuel 2 Neumann, Johannes 2 Paiva, Freddy 2 Pfeffer, Max 2 Rathsfeld, Andreas 2 Rauhut, Holger 2 Schulze, Bert-Wolfgang 2 Steidl, Gabriele 2 Stojanac, Željka 2 Weber, Toralf 2 Xu, Yuesheng 2 Zeiser, Andreas 1 Barinka, Arne 1 Blauert, Johannes 1 Duduchava, Roland 1 Eppler, Karsten 1 Faulstich, Fabian M. 1 Gatica, Gabriel N. 1 Gnewuch, Michael 1 Griebel, Michael 1 Handschuh, Stefan 1 Harutyunyan, Gohar V. 1 Hochmuth, Reinhard 1 Kähler, Uwe 1 Kvaal, Simen 1 Laestadius, Andre 1 Legeza, Örs 1 Lindloh, René 1 Lubich, Christian 1 Neelov, Alexey 1 Pereverzev, Sergei V. 1 Peters, Michael D. 1 Reichmann, Oleg 1 Ritter, Klaus 1 Srivastav, Anand 1 Trunschke, Philipp 1 Vandereycken, Bart 1 von Petersdorff, Tobias 1 Yserentant, Harry 1 Zhou, Aihui all top 5 Serials 16 Numerische Mathematik 5 SIAM Journal on Numerical Analysis 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Integral Equations and Operator Theory 4 Advances in Computational Mathematics 3 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 3 Mathematics of Computation 3 Applied Numerical Mathematics 3 SIAM Journal on Scientific Computing 3 Computational Methods in Applied Mathematics 2 Mathematical Methods in the Applied Sciences 2 Mathematische Nachrichten 2 Journal of Complexity 2 Foundations of Computational Mathematics 1 Applicable Analysis 1 Computer Methods in Applied Mechanics and Engineering 1 Inverse Problems 1 Calcolo 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 Results in Mathematics 1 SIAM Journal on Control and Optimization 1 Journal of Integral Equations 1 Journal of Computational Mathematics 1 SIAM Journal on Matrix Analysis and Applications 1 Linear Algebra and its Applications 1 SIAM Journal on Mathematical Analysis 1 SIAM Journal on Optimization 1 Numerical Linear Algebra with Applications 1 Engineering Analysis with Boundary Elements 1 Journal of Mathematical Chemistry 1 Computing and Visualization in Science 1 Lecture Notes in Computational Science and Engineering 1 Communications in Computational Physics 1 PAMM. Proceedings in Applied Mathematics and Mechanics all top 5 Fields 84 Numerical analysis (65-XX) 50 Partial differential equations (35-XX) 15 Operator theory (47-XX) 11 Quantum theory (81-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 9 Integral equations (45-XX) 9 Probability theory and stochastic processes (60-XX) 6 Approximations and expansions (41-XX) 5 Functional analysis (46-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Computer science (68-XX) 4 Operations research, mathematical programming (90-XX) 3 Statistics (62-XX) 3 Mechanics of deformable solids (74-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Potential theory (31-XX) 1 Manifolds and cell complexes (57-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 85 Publications have been cited 1,274 times in 714 Documents Cited by ▼ Year ▼ Compression techniques for boundary integral equations. Asymptotically optimal complexity estimates. Zbl 1113.65114Dahmen, Wolfgang; Harbrecht, Helmut; Schneider, Reinhold 70 2006 Wavelets on manifolds. I: Construction and domain decomposition. Zbl 0955.42025Dahmen, Wolfgang; Schneider, Reinhold 69 1999 The alternating linear scheme for tensor optimization in the tensor train format. Zbl 1252.15031Holtz, Sebastian; Rohwedder, Thorsten; Schneider, Reinhold 67 2012 Wavelet approximation methods for pseudodifferential equations. II: Matrix compression and fast solution. Zbl 0826.65093Dahmen, Wolfgang; Prößdorf, Siegfried; Schneider, Reinhold 66 1993 Composite wavelet bases for operator equations. Zbl 0932.65148Dahmen, Wolfgang; Schneider, Reinhold 60 1999 Sparse second moment analysis for elliptic problems in stochastic domains. Zbl 1146.65007Harbrecht, Helmut; Schneider, Reinhold; Schwab, Christoph 44 2008 Wavelet Galerkin schemes for boundary integral equations – implementation and quadrature. Zbl 1117.65162Harbrecht, Helmut; Schneider, Reinhold 41 2006 Wavelet approximation methods for pseudodifferential equations. I: Stability and convergence. Zbl 0794.65082Dahmen, Wolfgang; Prössdorf, Siegfried; Schneider, R. 40 1994 On the low-rank approximation by the pivoted Cholesky decomposition. Zbl 1244.65042Harbrecht, Helmut; Peters, Michael; Schneider, Reinhold 35 2012 Stable multiscale bases and local error estimation for elliptic problems. Zbl 0872.65098Dahlke, Stephan; Dahmen, Wolfgang; Hochmuth, Reinhard; Schneider, Reinhold 35 1997 Wavelets with complementary boundary conditions – functions spaces on the cube. Zbl 0931.46006Dahmen, Wolfgang; Schneider, Reinhold 33 1998 Multiscale and wavelet matrix compression. Zbl 0899.65063Schneider, Reinhold 32 1998 Dynamical approximation by hierarchical Tucker and tensor-train tensors. Zbl 1391.15087Lubich, Christian; Rohwedder, Thorsten; Schneider, Reinhold; Vandereycken, Bart 31 2013 On manifolds of tensors of fixed TT-rank. Zbl 1242.15022Holtz, Sebastian; Rohwedder, Thorsten; Schneider, Reinhold 30 2012 Multiwavelets for second-kind integral equations. Zbl 0891.65121Von Petersdorff, Tobias; Schwab, Christoph; Schneider, Reinhold 29 1997 On convergence in elliptic shape optimization. Zbl 1354.49093Eppler, Karsten; Harbrecht, Helmut; Schneider, Reinhold 28 2007 Nonlinear functionals of wavelet expansions – adaptive reconstruction and fast evaluation. Zbl 0962.65118Dahmen, Wolfgang; Schneider, Reinhold; Xu, Yuesheng 26 2000 Multilevel frames for sparse tensor product spaces. Zbl 1151.65010Harbrecht, Helmut; Schneider, Reinhold; Schwab, Christoph 25 2008 Convergence results for projected line-search methods on varieties of low-rank matrices via Łojasiewicz inequality. Zbl 1355.65079Schneider, Reinhold; Uschmajew, André 24 2015 Biorthogonal wavelet bases for the boundary element method. Zbl 1055.65136Harbrecht, Helmut; Schneider, Reinhold 24 2004 Multiscale methods for pseudo-differential equations on smooth closed manifolds. Zbl 0847.65081Dahmen, Wolfgang; Prößdorf, Siegfried; Schneider, Reinhold 24 1994 Low rank tensor recovery via iterative hard thresholding. Zbl 1372.65130Rauhut, Holger; Schneider, Reinhold; Stojanac, Željka 20 2017 Adaptive methods for boundary integral equations: complexity and convergence estimates. Zbl 1129.65090Dahmen, Wolfgang; Harbrecht, Helmut; Schneider, Reinnold 20 2007 Approximation rates for the hierarchical tensor format in periodic Sobolev spaces. Zbl 1329.41033Schneider, Reinhold; Uschmajew, André 19 2014 Tensor networks and hierarchical tensors for the solution of high-dimensional partial differential equations. Zbl 1357.65153Bachmayr, Markus; Schneider, Reinhold; Uschmajew, André 18 2016 Direct minimization for calculating invariant subspaces in density functional computations of the electronic structure. Zbl 1212.81001Schneider, Reinhold; Rohwedder, Thorsten; Neelov, Alexey; Blauert, Johannes 16 2009 Tensor-structured factorized calculation of two-electron integrals in a general basis. Zbl 1266.65069Khoromskaia, V.; Khoromskij, B. N.; Schneider, R. 13 2013 Adaptive stochastic Galerkin FEM with hierarchical tensor representations. Zbl 1397.65262Eigel, Martin; Pfeffer, Max; Schneider, Reinhold 12 2017 Tensor completion in hierarchical tensor representations. Zbl 1333.94023Rauhut, Holger; Schneider, Reinhold; Stojanac, Željka 12 2015 Multiresolution weighted norm equivalencies and applications. Zbl 1058.65149Beuchler, Sven; Schneider, Reinhold; Schwab, Christoph 12 2004 Fully discrete wavelet Galerkin schemes. Zbl 1035.65138Harbrecht, Helmut; Konik, Michael; Schneider, Reinhold 12 2003 Wavelet Galerkin schemes for 2D-BEM. Zbl 1005.65133Harbrecht, Helmut; Schneider, Reinhold 12 2001 Spline approximation methods for multidimensional periodic pseudodifferential equations. Zbl 0757.65146Prössdorf, Siegfried; Schneider, R. 12 1992 Variational calculus with sums of elementary tensors of fixed rank. Zbl 1259.65090Espig, Mike; Hackbusch, Wolfgang; Rohwedder, Thorsten; Schneider, Reinhold 11 2012 A spline collocation method for multidimensional strongly elliptic pseudodifferential operators of order zero. Zbl 0737.47043Prössdorf, Siegfried; Schneider, R. 11 1991 An analysis for the DIIS acceleration method used in quantum chemistry calculations. Zbl 1252.81135Rohwedder, Thorsten; Schneider, Reinhold 10 2011 Self-regularization by projection for noisy pseudodifferential equations of negative order. Zbl 1074.65130Harbrecht, Helmut; Pereverzev, Sergei; Schneider, Reinhold 10 2003 Wavelet least squares methods for boundary value problems. Zbl 1013.65124Dahmen, Wolfgang; Kunoth, Angela; Schneider, Reinhold 10 2002 Wavelet solution of variable order pseudodifferential equations. Zbl 1202.65013Schneider, R.; Reichmann, O.; Schwab, C. 9 2010 Asymptotic regularity of solutions to Hartree-Fock equations with Coulomb potential. Zbl 1158.35435Flad, Heinz-Jürgen; Schneider, Reinhold; Schulze, Bert-Wolfgang 9 2008 Best \(N\)-term approximation in electronic structure calculations. I: One-electron reduced density matrix. Zbl 1100.81050Flad, Heinz-Jürgen; Hackbusch, Wolfgang; Schneider, Reinhold 9 2006 Integral equations with piecewise continuous coefficients in \(L_ p\)- spaces with weight. Zbl 0573.45001Schneider, Reinhold 9 1985 Optimization problems in contracted tensor networks. Zbl 1380.49059Espig, Mike; Hackbusch, Wolfgang; Handschuh, Stefan; Schneider, Reinhold 8 2011 Adaptive eigenvalue computation: Complexity estimates. Zbl 1157.65029Dahmen, Wolfgang; Rohwedder, Thorsten; Schneider, Reinhold; Zeiser, Andreas 8 2008 Fast computation of adaptive wavelet expansions. Zbl 1144.65091Barinka, A.; Dahmen, W.; Schneider, R. 8 2007 Multiscale methods for pseudodifferential equations. Zbl 0788.65112Dahmen, Wolfgang; Prössdorf, Siegfried; Schneider, R. 8 1994 Iterative methods based on soft thresholding of hierarchical tensors. Zbl 1397.65243Bachmayr, Markus; Schneider, Reinhold 7 2017 Explicit Green operators for quantum mechanical Hamiltonians. I: The hydrogen atom. Zbl 1229.35158Flad, Heinz-Jürgen; Harutyunyan, Gohar; Schneider, Reinhold; Schulze, Bert-Wolfgang 7 2011 Best \(N\)-term approximation in electronic structure calculations. II: Jastrow factors. Zbl 1135.81029Flad, Heinz-Jürgen; Hackbusch, Wolfgang; Schneider, Reinhold 7 2007 Biorthogonal wavelet approximation for the coupling of FEM-BEM. Zbl 1012.65114Harbrecht, H.; Paiva, F.; Pérez, C.; Schneider, R. 7 2002 A multiscale method for the double layer potential equation on a polyhedron. Zbl 0839.65128Dahmen, Wolfgang; Kleemann, B.; Prößdorf, Siegfried; Schneider, Reinhold 7 1994 Error analysis of a boundary element collocation method for a screen problem in \(\mathbb{R}^ 3\). Zbl 0765.65108Costabel, M.; Penzel, F.; Schneider, R. 7 1992 Tensor spaces and hierarchical tensor representations. Zbl 1317.65102Hackbusch, Wolfgang; Schneider, Reinhold 6 2014 An analysis of discontinuous Galerkin methods for elliptic problems. Zbl 1099.65116Schneider, Reinhold; Xu, Yuesheng; Zhou, Aihui 6 2006 Multiscale preconditioning for the coupling of FEM-BEM. Zbl 1071.65552Harbrecht, Helmut; Paiva, Freddy; Pérez, Cristian; Schneider, Reinhold 6 2003 Numerical analysis of augmented plane wave methods for full-potential electronic structure calculations. Zbl 1330.65170Chen, Huajie; Schneider, Reinhold 5 2015 QTT representation of the Hartree and exchange operators in electronic structure calculations. Zbl 1283.65038Khoromskaia, Venera; Khoromskij, Boris; Schneider, Reinhold 5 2011 Perturbed preconditioned inverse iteration for operator eigenvalue problems with applications to adaptive wavelet discretization. Zbl 1208.65160Rohwedder, Thorsten; Schneider, Reinhold; Zeiser, Andreas 5 2011 Error estimates for Hermite and even-tempered Gaussian approximations in quantum chemistry. Zbl 1300.41010Bachmayr, Markus; Chen, Huajie; Schneider, Reinhold 4 2014 Concepts of data-sparse tensor-product approximation in many-particle modelling. Zbl 1214.81077Flad, Heinz-Jürgen; Hackbusch, Wolfgang; Khoromskij, Boris N.; Schneider, Reinhold 4 2010 Analysis of the projected coupled cluster method in electronic structure calculation. Zbl 1170.81043Schneider, Reinhold 4 2009 Fast wavelet BEM on complex geometries. Zbl 1391.65185Harbrecht, H.; Kähler, U.; Schneider, R. 4 2005 Stability of a spline collocation method for strongly elliptic multidimensional singular integral equations. Zbl 0724.65134Schneider, R. 4 1991 Reduction of order for pseudodifferential operators on Lipschitz domains. Zbl 0747.35056Schneider, R. 4 1991 Bessel potential operators for canonical Lipschitz domains. Zbl 0737.46024Schneider, Reinhold 4 1991 Sampling-free Bayesian inversion with adaptive hierarchical tensor representations. Zbl 1404.65261Eigel, Martin; Marschall, Manuel; Schneider, Reinhold 3 2018 Error estimates for the coupled cluster method. Zbl 1297.65139Rohwedder, Thorsten; Schneider, Reinhold 3 2013 Least squares methods for the coupling of FEM and BEM. Zbl 1055.65126Gatica, Gabriel N.; Harbrecht, Helmut; Schneider, Reinhold 3 2003 On a quadrature algorithm for the piecewise linear wavelet collocation applied to boundary integral equations. Zbl 1074.65141Rathsfeld, Andreas; Schneider, Reinhold 3 2003 Multiscale methods for the solution of the Helmholtz and Laplace equations. Zbl 0884.65110Dahmen, W.; Kleemann, B.; Prößdorf, Siegfried; Schneider, R. 3 1997 Contributions to the theory of elliptic pseudodifferential operators on manifolds with nonsmooth boundaries. Zbl 0703.35184Schneider, Reinhold 3 1989 The algebra of non-classical singular integral operators on half space. Zbl 0629.45014Duduchava, Roland; Schneider, Reinhold 3 1987 Adaptive stochastic Galerkin FEM for lognormal coefficients in hierarchical tensor representations. Zbl 1439.65160Eigel, Martin; Marschall, Manuel; Pfeffer, Max; Schneider, Reinhold 2 2020 Non-intrusive tensor reconstruction for high-dimensional random PDEs. Zbl 1419.35259Eigel, Martin; Neumann, Johannes; Schneider, Reinhold; Wolf, Sebastian 2 2019 Intersection probabilities and kinematic formulas for polyhedral cones. Zbl 1413.52006Schneider, R. 2 2018 Optimization of PIC codes by improved memory management. Zbl 1343.76058Tskhakaya, D.; Schneider, R. 2 2007 Multiscale methods for pseudodifferential equations. Zbl 0900.65316Dahmen, W.; Kleemann, B.; Prößdorf, Siegfried; Schneider, R. 2 1996 Operator equations, multiscale concepts and complexity. Zbl 0856.65157Dahmen, Wolfgang; Kunoth, Angela; Schneider, Reinhold 2 1996 A note on multilevel based error estimation. Zbl 1342.65206Harbrecht, Helmut; Schneider, Reinhold 1 2016 Error estimates of some numerical atomic orbitals in molecular simulations. Zbl 1373.81008Chen, Huajie; Schneider, Reinhold 1 2015 Rapid solution of boundary integral equations by wavelet Galerkin schemes. Zbl 1190.65179Harbrecht, Helmut; Schneider, Reinhold 1 2009 Cubature formulas for function spaces with moderate smoothness. Zbl 1130.65049Gnewuch, Michael; Lindloh, René; Schneider, Reinhold; Srivastav, Anand 1 2007 Erratum: Multiresolution weighted norm equivalences and applications. Zbl 1094.65137Beuchler, Sven; Schneider, Reinhold; Schwab, Christoph 1 2005 Multiscale methods for boundary integral equations and their application to boundary value problems in scattering theory and geodesy. Zbl 0881.65106Kleeman, Bernd H.; Rathsfeld, Andreas; Schneider, Reinhold 1 1996 Matrix compression by discrete wavelet transform. Zbl 0928.65178Konik, Michael; Schneider, Reinhold; Steidl, Gabriele 1 1995 Adaptive stochastic Galerkin FEM for lognormal coefficients in hierarchical tensor representations. Zbl 1439.65160Eigel, Martin; Marschall, Manuel; Pfeffer, Max; Schneider, Reinhold 2 2020 Non-intrusive tensor reconstruction for high-dimensional random PDEs. Zbl 1419.35259Eigel, Martin; Neumann, Johannes; Schneider, Reinhold; Wolf, Sebastian 2 2019 Sampling-free Bayesian inversion with adaptive hierarchical tensor representations. Zbl 1404.65261Eigel, Martin; Marschall, Manuel; Schneider, Reinhold 3 2018 Intersection probabilities and kinematic formulas for polyhedral cones. Zbl 1413.52006Schneider, R. 2 2018 Low rank tensor recovery via iterative hard thresholding. Zbl 1372.65130Rauhut, Holger; Schneider, Reinhold; Stojanac, Željka 20 2017 Adaptive stochastic Galerkin FEM with hierarchical tensor representations. Zbl 1397.65262Eigel, Martin; Pfeffer, Max; Schneider, Reinhold 12 2017 Iterative methods based on soft thresholding of hierarchical tensors. Zbl 1397.65243Bachmayr, Markus; Schneider, Reinhold 7 2017 Tensor networks and hierarchical tensors for the solution of high-dimensional partial differential equations. Zbl 1357.65153Bachmayr, Markus; Schneider, Reinhold; Uschmajew, André 18 2016 A note on multilevel based error estimation. Zbl 1342.65206Harbrecht, Helmut; Schneider, Reinhold 1 2016 Convergence results for projected line-search methods on varieties of low-rank matrices via Łojasiewicz inequality. Zbl 1355.65079Schneider, Reinhold; Uschmajew, André 24 2015 Tensor completion in hierarchical tensor representations. Zbl 1333.94023Rauhut, Holger; Schneider, Reinhold; Stojanac, Željka 12 2015 Numerical analysis of augmented plane wave methods for full-potential electronic structure calculations. Zbl 1330.65170Chen, Huajie; Schneider, Reinhold 5 2015 Error estimates of some numerical atomic orbitals in molecular simulations. Zbl 1373.81008Chen, Huajie; Schneider, Reinhold 1 2015 Approximation rates for the hierarchical tensor format in periodic Sobolev spaces. Zbl 1329.41033Schneider, Reinhold; Uschmajew, André 19 2014 Tensor spaces and hierarchical tensor representations. Zbl 1317.65102Hackbusch, Wolfgang; Schneider, Reinhold 6 2014 Error estimates for Hermite and even-tempered Gaussian approximations in quantum chemistry. Zbl 1300.41010Bachmayr, Markus; Chen, Huajie; Schneider, Reinhold 4 2014 Dynamical approximation by hierarchical Tucker and tensor-train tensors. Zbl 1391.15087Lubich, Christian; Rohwedder, Thorsten; Schneider, Reinhold; Vandereycken, Bart 31 2013 Tensor-structured factorized calculation of two-electron integrals in a general basis. Zbl 1266.65069Khoromskaia, V.; Khoromskij, B. N.; Schneider, R. 13 2013 Error estimates for the coupled cluster method. Zbl 1297.65139Rohwedder, Thorsten; Schneider, Reinhold 3 2013 The alternating linear scheme for tensor optimization in the tensor train format. Zbl 1252.15031Holtz, Sebastian; Rohwedder, Thorsten; Schneider, Reinhold 67 2012 On the low-rank approximation by the pivoted Cholesky decomposition. Zbl 1244.65042Harbrecht, Helmut; Peters, Michael; Schneider, Reinhold 35 2012 On manifolds of tensors of fixed TT-rank. Zbl 1242.15022Holtz, Sebastian; Rohwedder, Thorsten; Schneider, Reinhold 30 2012 Variational calculus with sums of elementary tensors of fixed rank. Zbl 1259.65090Espig, Mike; Hackbusch, Wolfgang; Rohwedder, Thorsten; Schneider, Reinhold 11 2012 An analysis for the DIIS acceleration method used in quantum chemistry calculations. Zbl 1252.81135Rohwedder, Thorsten; Schneider, Reinhold 10 2011 Optimization problems in contracted tensor networks. Zbl 1380.49059Espig, Mike; Hackbusch, Wolfgang; Handschuh, Stefan; Schneider, Reinhold 8 2011 Explicit Green operators for quantum mechanical Hamiltonians. I: The hydrogen atom. Zbl 1229.35158Flad, Heinz-Jürgen; Harutyunyan, Gohar; Schneider, Reinhold; Schulze, Bert-Wolfgang 7 2011 QTT representation of the Hartree and exchange operators in electronic structure calculations. Zbl 1283.65038Khoromskaia, Venera; Khoromskij, Boris; Schneider, Reinhold 5 2011 Perturbed preconditioned inverse iteration for operator eigenvalue problems with applications to adaptive wavelet discretization. Zbl 1208.65160Rohwedder, Thorsten; Schneider, Reinhold; Zeiser, Andreas 5 2011 Wavelet solution of variable order pseudodifferential equations. Zbl 1202.65013Schneider, R.; Reichmann, O.; Schwab, C. 9 2010 Concepts of data-sparse tensor-product approximation in many-particle modelling. Zbl 1214.81077Flad, Heinz-Jürgen; Hackbusch, Wolfgang; Khoromskij, Boris N.; Schneider, Reinhold 4 2010 Direct minimization for calculating invariant subspaces in density functional computations of the electronic structure. Zbl 1212.81001Schneider, Reinhold; Rohwedder, Thorsten; Neelov, Alexey; Blauert, Johannes 16 2009 Analysis of the projected coupled cluster method in electronic structure calculation. Zbl 1170.81043Schneider, Reinhold 4 2009 Rapid solution of boundary integral equations by wavelet Galerkin schemes. Zbl 1190.65179Harbrecht, Helmut; Schneider, Reinhold 1 2009 Sparse second moment analysis for elliptic problems in stochastic domains. Zbl 1146.65007Harbrecht, Helmut; Schneider, Reinhold; Schwab, Christoph 44 2008 Multilevel frames for sparse tensor product spaces. Zbl 1151.65010Harbrecht, Helmut; Schneider, Reinhold; Schwab, Christoph 25 2008 Asymptotic regularity of solutions to Hartree-Fock equations with Coulomb potential. Zbl 1158.35435Flad, Heinz-Jürgen; Schneider, Reinhold; Schulze, Bert-Wolfgang 9 2008 Adaptive eigenvalue computation: Complexity estimates. Zbl 1157.65029Dahmen, Wolfgang; Rohwedder, Thorsten; Schneider, Reinhold; Zeiser, Andreas 8 2008 On convergence in elliptic shape optimization. Zbl 1354.49093Eppler, Karsten; Harbrecht, Helmut; Schneider, Reinhold 28 2007 Adaptive methods for boundary integral equations: complexity and convergence estimates. Zbl 1129.65090Dahmen, Wolfgang; Harbrecht, Helmut; Schneider, Reinnold 20 2007 Fast computation of adaptive wavelet expansions. Zbl 1144.65091Barinka, A.; Dahmen, W.; Schneider, R. 8 2007 Best \(N\)-term approximation in electronic structure calculations. II: Jastrow factors. Zbl 1135.81029Flad, Heinz-Jürgen; Hackbusch, Wolfgang; Schneider, Reinhold 7 2007 Optimization of PIC codes by improved memory management. Zbl 1343.76058Tskhakaya, D.; Schneider, R. 2 2007 Cubature formulas for function spaces with moderate smoothness. Zbl 1130.65049Gnewuch, Michael; Lindloh, René; Schneider, Reinhold; Srivastav, Anand 1 2007 Compression techniques for boundary integral equations. Asymptotically optimal complexity estimates. Zbl 1113.65114Dahmen, Wolfgang; Harbrecht, Helmut; Schneider, Reinhold 70 2006 Wavelet Galerkin schemes for boundary integral equations – implementation and quadrature. Zbl 1117.65162Harbrecht, Helmut; Schneider, Reinhold 41 2006 Best \(N\)-term approximation in electronic structure calculations. I: One-electron reduced density matrix. Zbl 1100.81050Flad, Heinz-Jürgen; Hackbusch, Wolfgang; Schneider, Reinhold 9 2006 An analysis of discontinuous Galerkin methods for elliptic problems. Zbl 1099.65116Schneider, Reinhold; Xu, Yuesheng; Zhou, Aihui 6 2006 Fast wavelet BEM on complex geometries. Zbl 1391.65185Harbrecht, H.; Kähler, U.; Schneider, R. 4 2005 Erratum: Multiresolution weighted norm equivalences and applications. Zbl 1094.65137Beuchler, Sven; Schneider, Reinhold; Schwab, Christoph 1 2005 Biorthogonal wavelet bases for the boundary element method. Zbl 1055.65136Harbrecht, Helmut; Schneider, Reinhold 24 2004 Multiresolution weighted norm equivalencies and applications. Zbl 1058.65149Beuchler, Sven; Schneider, Reinhold; Schwab, Christoph 12 2004 Fully discrete wavelet Galerkin schemes. Zbl 1035.65138Harbrecht, Helmut; Konik, Michael; Schneider, Reinhold 12 2003 Self-regularization by projection for noisy pseudodifferential equations of negative order. Zbl 1074.65130Harbrecht, Helmut; Pereverzev, Sergei; Schneider, Reinhold 10 2003 Multiscale preconditioning for the coupling of FEM-BEM. Zbl 1071.65552Harbrecht, Helmut; Paiva, Freddy; Pérez, Cristian; Schneider, Reinhold 6 2003 Least squares methods for the coupling of FEM and BEM. Zbl 1055.65126Gatica, Gabriel N.; Harbrecht, Helmut; Schneider, Reinhold 3 2003 On a quadrature algorithm for the piecewise linear wavelet collocation applied to boundary integral equations. Zbl 1074.65141Rathsfeld, Andreas; Schneider, Reinhold 3 2003 Wavelet least squares methods for boundary value problems. Zbl 1013.65124Dahmen, Wolfgang; Kunoth, Angela; Schneider, Reinhold 10 2002 Biorthogonal wavelet approximation for the coupling of FEM-BEM. Zbl 1012.65114Harbrecht, H.; Paiva, F.; Pérez, C.; Schneider, R. 7 2002 Wavelet Galerkin schemes for 2D-BEM. Zbl 1005.65133Harbrecht, Helmut; Schneider, Reinhold 12 2001 Nonlinear functionals of wavelet expansions – adaptive reconstruction and fast evaluation. Zbl 0962.65118Dahmen, Wolfgang; Schneider, Reinhold; Xu, Yuesheng 26 2000 Wavelets on manifolds. I: Construction and domain decomposition. Zbl 0955.42025Dahmen, Wolfgang; Schneider, Reinhold 69 1999 Composite wavelet bases for operator equations. Zbl 0932.65148Dahmen, Wolfgang; Schneider, Reinhold 60 1999 Wavelets with complementary boundary conditions – functions spaces on the cube. Zbl 0931.46006Dahmen, Wolfgang; Schneider, Reinhold 33 1998 Multiscale and wavelet matrix compression. Zbl 0899.65063Schneider, Reinhold 32 1998 Stable multiscale bases and local error estimation for elliptic problems. Zbl 0872.65098Dahlke, Stephan; Dahmen, Wolfgang; Hochmuth, Reinhard; Schneider, Reinhold 35 1997 Multiwavelets for second-kind integral equations. Zbl 0891.65121Von Petersdorff, Tobias; Schwab, Christoph; Schneider, Reinhold 29 1997 Multiscale methods for the solution of the Helmholtz and Laplace equations. Zbl 0884.65110Dahmen, W.; Kleemann, B.; Prößdorf, Siegfried; Schneider, R. 3 1997 Multiscale methods for pseudodifferential equations. Zbl 0900.65316Dahmen, W.; Kleemann, B.; Prößdorf, Siegfried; Schneider, R. 2 1996 Operator equations, multiscale concepts and complexity. Zbl 0856.65157Dahmen, Wolfgang; Kunoth, Angela; Schneider, Reinhold 2 1996 Multiscale methods for boundary integral equations and their application to boundary value problems in scattering theory and geodesy. Zbl 0881.65106Kleeman, Bernd H.; Rathsfeld, Andreas; Schneider, Reinhold 1 1996 Matrix compression by discrete wavelet transform. Zbl 0928.65178Konik, Michael; Schneider, Reinhold; Steidl, Gabriele 1 1995 Wavelet approximation methods for pseudodifferential equations. I: Stability and convergence. Zbl 0794.65082Dahmen, Wolfgang; Prössdorf, Siegfried; Schneider, R. 40 1994 Multiscale methods for pseudo-differential equations on smooth closed manifolds. Zbl 0847.65081Dahmen, Wolfgang; Prößdorf, Siegfried; Schneider, Reinhold 24 1994 Multiscale methods for pseudodifferential equations. Zbl 0788.65112Dahmen, Wolfgang; Prössdorf, Siegfried; Schneider, R. 8 1994 A multiscale method for the double layer potential equation on a polyhedron. Zbl 0839.65128Dahmen, Wolfgang; Kleemann, B.; Prößdorf, Siegfried; Schneider, Reinhold 7 1994 Wavelet approximation methods for pseudodifferential equations. II: Matrix compression and fast solution. Zbl 0826.65093Dahmen, Wolfgang; Prößdorf, Siegfried; Schneider, Reinhold 66 1993 Spline approximation methods for multidimensional periodic pseudodifferential equations. Zbl 0757.65146Prössdorf, Siegfried; Schneider, R. 12 1992 Error analysis of a boundary element collocation method for a screen problem in \(\mathbb{R}^ 3\). Zbl 0765.65108Costabel, M.; Penzel, F.; Schneider, R. 7 1992 A spline collocation method for multidimensional strongly elliptic pseudodifferential operators of order zero. Zbl 0737.47043Prössdorf, Siegfried; Schneider, R. 11 1991 Stability of a spline collocation method for strongly elliptic multidimensional singular integral equations. Zbl 0724.65134Schneider, R. 4 1991 Reduction of order for pseudodifferential operators on Lipschitz domains. Zbl 0747.35056Schneider, R. 4 1991 Bessel potential operators for canonical Lipschitz domains. Zbl 0737.46024Schneider, Reinhold 4 1991 Contributions to the theory of elliptic pseudodifferential operators on manifolds with nonsmooth boundaries. Zbl 0703.35184Schneider, Reinhold 3 1989 The algebra of non-classical singular integral operators on half space. Zbl 0629.45014Duduchava, Roland; Schneider, Reinhold 3 1987 Integral equations with piecewise continuous coefficients in \(L_ p\)- spaces with weight. Zbl 0573.45001Schneider, Reinhold 9 1985 all cited Publications top 5 cited Publications all top 5 Cited by 973 Authors 61 Harbrecht, Helmut 47 Schneider, Reinhold 24 Schwab, Christoph 19 Dahlke, Stephan 19 Stevenson, Rob P. 18 Hackbusch, Wolfgang 16 Dahmen, Wolfgang A. 15 Khoromskij, Boris N. 13 Dolgov, Sergey V. 12 Peters, Michael D. 12 Xu, Yuesheng 11 Eppler, Karsten 11 Griebel, Michael 11 Kressner, Daniel 10 Chen, Zhongying 10 Oseledets, Ivan V. 10 Xiao, Jinyou 9 Urban, Karsten 9 Uschmajew, André 8 Börm, Steffen 8 Duduchava, Roland 8 Kunoth, Angela 8 Stephan, Ernst Peter 7 Beuchler, Sven 7 Dambrine, Marc 7 Dölz, Jürgen 7 Eigel, Martin 7 Fornasier, Massimo 7 Mehra, Mani 7 Raasch, Thorsten 6 Chen, Huajie 6 Flad, Heinz-Jürgen 6 Grasedyck, Lars 6 Lubich, Christian 6 Nobile, Fabio 6 Prössdorf, Siegfried 6 Rathsfeld, Andreas 6 Schulze, Bert-Wolfgang 6 Tausch, Johannes 6 Vandereycken, Bart 6 Wen, Lihua 5 Bachmayr, Markus 5 Balazs, Peter 5 Benner, Peter 5 Canuto, Claudio 5 Espig, Mike 5 Gantumur, Tsogtgerel 5 Khoromskaia, Venera 5 Praetorius, Dirk 5 Rakhuba, Maxim V. 5 Reichmann, Oleg 5 Rohwedder, Thorsten 5 Zhang, Yongdong 5 Zhou, Aihui 4 Ballani, Jonas 4 Chernov, Alexey 4 Dehghan Takht Fooladi, Mehdi 4 Döhring, Nicolas 4 Goyal, Kavita 4 Hochmuth, Reinhard 4 Jerez-Hanckes, Carlos 4 Jouini, Abdellatif 4 Kazeev, Vladimir A. 4 Kelley, Carl T. 4 Kinzel, Stefan 4 Lee, Namgil 4 Nouy, Anthony 4 Pereverzev, Sergei V. 4 Puig, Bénédicte 4 Savostyanov, Dmitry V. 4 Schulz, Volker H. 4 Schütte, Christof 4 Siebenmorgen, Markus 4 Tabacco, Anita 4 Tobler, Christine 4 Wendland, Wolfgang L. 4 Zhang, Duo 4 Zhu, Jialin 3 Amini, Shahram 3 Assari, Pouria 3 Bertoluzza, Silvia 3 Bittner, Kai 3 Cancès, Eric 3 Chegini, Nabi G. 3 Chinnamsetty, Sambasiva Rao 3 Cichocki, Andrzej 3 Cioica, Petru A. 3 Dai, Xiaoying 3 DeVore, Ronald A. 3 Einkemmer, Lukas 3 Falletta, Silvia 3 Friedrich, Ulrich 3 Führer, Thomas 3 Gao, Jing 3 Gelß, Patrick 3 He, Lianhua 3 Heuer, Norbert 3 Jiang, Yaolin 3 Karlovich, Yuri I. 3 Kevlahan, Nicholas K.-R. ...and 873 more Authors all top 5 Cited in 156 Serials 44 Numerische Mathematik 38 SIAM Journal on Scientific Computing 34 Journal of Computational and Applied Mathematics 31 Mathematics of Computation 29 Journal of Computational Physics 25 Applied Numerical Mathematics 22 Advances in Computational Mathematics 22 Engineering Analysis with Boundary Elements 18 Computer Methods in Applied Mechanics and Engineering 17 Applied Mathematics and Computation 17 Journal of Scientific Computing 17 Journal of Integral Equations and Applications 16 Computing 13 SIAM Journal on Numerical Analysis 12 Applied and Computational Harmonic Analysis 11 Integral Equations and Operator Theory 11 Numerical Linear Algebra with Applications 11 Foundations of Computational Mathematics 11 SIAM/ASA Journal on Uncertainty Quantification 8 Journal of Mathematical Analysis and Applications 8 Mathematical Methods in the Applied Sciences 8 Journal of Complexity 8 Numerical Algorithms 8 Linear Algebra and its Applications 8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 7 Numerical Functional Analysis and Optimization 7 Computing and Visualization in Science 7 Computational Methods in Applied Mathematics 6 Computers & Mathematics with Applications 6 International Journal for Numerical Methods in Engineering 6 Constructive Approximation 6 SIAM Journal on Optimization 6 International Journal of Wavelets, Multiresolution and Information Processing 5 BIT 5 Numerical Methods for Partial Differential Equations 5 SIAM Journal on Matrix Analysis and Applications 5 The Journal of Fourier Analysis and Applications 4 Applicable Analysis 4 Journal of Optimization Theory and Applications 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 Computational Optimization and Applications 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Journal of Mathematical Imaging and Vision 3 Journal of Inverse and Ill-Posed Problems 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Vietnam Journal of Mathematics 3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 3 Multiscale Modeling & Simulation 3 Mediterranean Journal of Mathematics 3 Acta Numerica 3 Oberwolfach Reports 3 Journal of Pseudo-Differential Operators and Applications 2 Computer Physics Communications 2 Inverse Problems 2 Journal of Mathematical Physics 2 ACM Transactions on Mathematical Software 2 The Annals of Statistics 2 Automatica 2 Journal of Approximation Theory 2 Kybernetika 2 Mathematische Nachrichten 2 Mathematische Zeitschrift 2 Results in Mathematics 2 Transactions of the American Mathematical Society 2 RAIRO. Modélisation Mathématique et Analyse Numérique 2 Computational Mechanics 2 International Journal of Computer Mathematics 2 Mathematical Programming. Series A. Series B 2 Journal of Mathematical Sciences (New York) 2 Georgian Mathematical Journal 2 Optimization Methods & Software 2 Journal of Numerical Mathematics 2 SIAM Journal on Applied Dynamical Systems 2 Analysis and Applications (Singapore) 2 SIAM Journal on Imaging Sciences 2 Asian-European Journal of Mathematics 2 SIAM Journal on Financial Mathematics 2 Statistics and Computing 2 Stochastic and Partial Differential Equations. Analysis and Computations 1 Archive for Rational Mechanics and Analysis 1 Bulletin of the Australian Mathematical Society 1 Computers and Fluids 1 Communications in Mathematical Physics 1 International Journal of Control 1 Indian Journal of Pure & Applied Mathematics 1 Letters in Mathematical Physics 1 Mathematical Notes 1 Nonlinearity 1 Physics Reports 1 Ukrainian Mathematical Journal 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Archiv der Mathematik 1 Calcolo 1 Journal of Functional Analysis 1 Manuscripta Mathematica 1 Mathematics and Computers in Simulation 1 Monatshefte für Mathematik 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Control and Optimization ...and 56 more Serials all top 5 Cited in 47 Fields 567 Numerical analysis (65-XX) 267 Partial differential equations (35-XX) 94 Linear and multilinear algebra; matrix theory (15-XX) 73 Harmonic analysis on Euclidean spaces (42-XX) 64 Integral equations (45-XX) 63 Operator theory (47-XX) 59 Probability theory and stochastic processes (60-XX) 55 Calculus of variations and optimal control; optimization (49-XX) 50 Approximations and expansions (41-XX) 38 Fluid mechanics (76-XX) 37 Functional analysis (46-XX) 32 Operations research, mathematical programming (90-XX) 28 Quantum theory (81-XX) 23 Computer science (68-XX) 20 Information and communication theory, circuits (94-XX) 19 Mechanics of deformable solids (74-XX) 19 Optics, electromagnetic theory (78-XX) 19 Statistical mechanics, structure of matter (82-XX) 17 Statistics (62-XX) 14 Global analysis, analysis on manifolds (58-XX) 10 Systems theory; control (93-XX) 9 Ordinary differential equations (34-XX) 9 Biology and other natural sciences (92-XX) 8 Differential geometry (53-XX) 7 Potential theory (31-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Manifolds and cell complexes (57-XX) 5 Classical thermodynamics, heat transfer (80-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 General and overarching topics; collections (00-XX) 4 Measure and integration (28-XX) 3 Algebraic geometry (14-XX) 3 Real functions (26-XX) 3 Convex and discrete geometry (52-XX) 3 Geophysics (86-XX) 2 Mathematical logic and foundations (03-XX) 2 Combinatorics (05-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Special functions (33-XX) 2 Integral transforms, operational calculus (44-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Functions of a complex variable (30-XX) 1 Abstract harmonic analysis (43-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year