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Schneider, Reinhold

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Author ID: schneider.reinhold Recent zbMATH articles by "Schneider, Reinhold"
Published as: Schneider, R.; Schneider, Reinhold; Schneider, Reinnold
Documents Indexed: 104 Publications since 1985, including 3 Books

Publications by Year

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 1113.65114
Dahmen, Wolfgang; Harbrecht, Helmut; Schneider, Reinhold
70
2006
Wavelets on manifolds. I: Construction and domain decomposition. Zbl 0955.42025
Dahmen, Wolfgang; Schneider, Reinhold
69
1999
The alternating linear scheme for tensor optimization in the tensor train format. Zbl 1252.15031
Holtz, Sebastian; Rohwedder, Thorsten; Schneider, Reinhold
67
2012
Wavelet approximation methods for pseudodifferential equations. II: Matrix compression and fast solution. Zbl 0826.65093
Dahmen, Wolfgang; Prößdorf, Siegfried; Schneider, Reinhold
66
1993
Composite wavelet bases for operator equations. Zbl 0932.65148
Dahmen, Wolfgang; Schneider, Reinhold
60
1999
Sparse second moment analysis for elliptic problems in stochastic domains. Zbl 1146.65007
Harbrecht, Helmut; Schneider, Reinhold; Schwab, Christoph
44
2008
Wavelet Galerkin schemes for boundary integral equations – implementation and quadrature. Zbl 1117.65162
Harbrecht, Helmut; Schneider, Reinhold
41
2006
Wavelet approximation methods for pseudodifferential equations. I: Stability and convergence. Zbl 0794.65082
Dahmen, Wolfgang; Prössdorf, Siegfried; Schneider, R.
40
1994
On the low-rank approximation by the pivoted Cholesky decomposition. Zbl 1244.65042
Harbrecht, Helmut; Peters, Michael; Schneider, Reinhold
35
2012
Stable multiscale bases and local error estimation for elliptic problems. Zbl 0872.65098
Dahlke, Stephan; Dahmen, Wolfgang; Hochmuth, Reinhard; Schneider, Reinhold
35
1997
Wavelets with complementary boundary conditions – functions spaces on the cube. Zbl 0931.46006
Dahmen, Wolfgang; Schneider, Reinhold
33
1998
Multiscale and wavelet matrix compression. Zbl 0899.65063
Schneider, Reinhold
32
1998
Dynamical approximation by hierarchical Tucker and tensor-train tensors. Zbl 1391.15087
Lubich, Christian; Rohwedder, Thorsten; Schneider, Reinhold; Vandereycken, Bart
31
2013
On manifolds of tensors of fixed TT-rank. Zbl 1242.15022
Holtz, Sebastian; Rohwedder, Thorsten; Schneider, Reinhold
30
2012
Multiwavelets for second-kind integral equations. Zbl 0891.65121
Von Petersdorff, Tobias; Schwab, Christoph; Schneider, Reinhold
29
1997
On convergence in elliptic shape optimization. Zbl 1354.49093
Eppler, Karsten; Harbrecht, Helmut; Schneider, Reinhold
28
2007
Nonlinear functionals of wavelet expansions – adaptive reconstruction and fast evaluation. Zbl 0962.65118
Dahmen, Wolfgang; Schneider, Reinhold; Xu, Yuesheng
26
2000
Multilevel frames for sparse tensor product spaces. Zbl 1151.65010
Harbrecht, Helmut; Schneider, Reinhold; Schwab, Christoph
25
2008
Convergence results for projected line-search methods on varieties of low-rank matrices via Łojasiewicz inequality. Zbl 1355.65079
Schneider, Reinhold; Uschmajew, André
24
2015
Biorthogonal wavelet bases for the boundary element method. Zbl 1055.65136
Harbrecht, Helmut; Schneider, Reinhold
24
2004
Multiscale methods for pseudo-differential equations on smooth closed manifolds. Zbl 0847.65081
Dahmen, Wolfgang; Prößdorf, Siegfried; Schneider, Reinhold
24
1994
Low rank tensor recovery via iterative hard thresholding. Zbl 1372.65130
Rauhut, Holger; Schneider, Reinhold; Stojanac, Željka
20
2017
Adaptive methods for boundary integral equations: complexity and convergence estimates. Zbl 1129.65090
Dahmen, Wolfgang; Harbrecht, Helmut; Schneider, Reinnold
20
2007
Approximation rates for the hierarchical tensor format in periodic Sobolev spaces. Zbl 1329.41033
Schneider, Reinhold; Uschmajew, André
19
2014
Tensor networks and hierarchical tensors for the solution of high-dimensional partial differential equations. Zbl 1357.65153
Bachmayr, Markus; Schneider, Reinhold; Uschmajew, André
18
2016
Direct minimization for calculating invariant subspaces in density functional computations of the electronic structure. Zbl 1212.81001
Schneider, Reinhold; Rohwedder, Thorsten; Neelov, Alexey; Blauert, Johannes
16
2009
Tensor-structured factorized calculation of two-electron integrals in a general basis. Zbl 1266.65069
Khoromskaia, V.; Khoromskij, B. N.; Schneider, R.
13
2013
Adaptive stochastic Galerkin FEM with hierarchical tensor representations. Zbl 1397.65262
Eigel, Martin; Pfeffer, Max; Schneider, Reinhold
12
2017
Tensor completion in hierarchical tensor representations. Zbl 1333.94023
Rauhut, Holger; Schneider, Reinhold; Stojanac, Željka
12
2015
Multiresolution weighted norm equivalencies and applications. Zbl 1058.65149
Beuchler, Sven; Schneider, Reinhold; Schwab, Christoph
12
2004
Fully discrete wavelet Galerkin schemes. Zbl 1035.65138
Harbrecht, Helmut; Konik, Michael; Schneider, Reinhold
12
2003
Wavelet Galerkin schemes for 2D-BEM. Zbl 1005.65133
Harbrecht, Helmut; Schneider, Reinhold
12
2001
Spline approximation methods for multidimensional periodic pseudodifferential equations. Zbl 0757.65146
Prössdorf, Siegfried; Schneider, R.
12
1992
Variational calculus with sums of elementary tensors of fixed rank. Zbl 1259.65090
Espig, Mike; Hackbusch, Wolfgang; Rohwedder, Thorsten; Schneider, Reinhold
11
2012
A spline collocation method for multidimensional strongly elliptic pseudodifferential operators of order zero. Zbl 0737.47043
Prössdorf, Siegfried; Schneider, R.
11
1991
An analysis for the DIIS acceleration method used in quantum chemistry calculations. Zbl 1252.81135
Rohwedder, Thorsten; Schneider, Reinhold
10
2011
Self-regularization by projection for noisy pseudodifferential equations of negative order. Zbl 1074.65130
Harbrecht, Helmut; Pereverzev, Sergei; Schneider, Reinhold
10
2003
Wavelet least squares methods for boundary value problems. Zbl 1013.65124
Dahmen, Wolfgang; Kunoth, Angela; Schneider, Reinhold
10
2002
Wavelet solution of variable order pseudodifferential equations. Zbl 1202.65013
Schneider, R.; Reichmann, O.; Schwab, C.
9
2010
Asymptotic regularity of solutions to Hartree-Fock equations with Coulomb potential. Zbl 1158.35435
Flad, Heinz-Jürgen; Schneider, Reinhold; Schulze, Bert-Wolfgang
9
2008
Best \(N\)-term approximation in electronic structure calculations. I: One-electron reduced density matrix. Zbl 1100.81050
Flad, Heinz-Jürgen; Hackbusch, Wolfgang; Schneider, Reinhold
9
2006
Integral equations with piecewise continuous coefficients in \(L_ p\)- spaces with weight. Zbl 0573.45001
Schneider, Reinhold
9
1985
Optimization problems in contracted tensor networks. Zbl 1380.49059
Espig, Mike; Hackbusch, Wolfgang; Handschuh, Stefan; Schneider, Reinhold
8
2011
Adaptive eigenvalue computation: Complexity estimates. Zbl 1157.65029
Dahmen, Wolfgang; Rohwedder, Thorsten; Schneider, Reinhold; Zeiser, Andreas
8
2008
Fast computation of adaptive wavelet expansions. Zbl 1144.65091
Barinka, A.; Dahmen, W.; Schneider, R.
8
2007
Multiscale methods for pseudodifferential equations. Zbl 0788.65112
Dahmen, Wolfgang; Prössdorf, Siegfried; Schneider, R.
8
1994
Iterative methods based on soft thresholding of hierarchical tensors. Zbl 1397.65243
Bachmayr, Markus; Schneider, Reinhold
7
2017
Explicit Green operators for quantum mechanical Hamiltonians. I: The hydrogen atom. Zbl 1229.35158
Flad, Heinz-Jürgen; Harutyunyan, Gohar; Schneider, Reinhold; Schulze, Bert-Wolfgang
7
2011
Best \(N\)-term approximation in electronic structure calculations. II: Jastrow factors. Zbl 1135.81029
Flad, Heinz-Jürgen; Hackbusch, Wolfgang; Schneider, Reinhold
7
2007
Biorthogonal wavelet approximation for the coupling of FEM-BEM. Zbl 1012.65114
Harbrecht, H.; Paiva, F.; Pérez, C.; Schneider, R.
7
2002
A multiscale method for the double layer potential equation on a polyhedron. Zbl 0839.65128
Dahmen, 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 0765.65108
Costabel, M.; Penzel, F.; Schneider, R.
7
1992
Tensor spaces and hierarchical tensor representations. Zbl 1317.65102
Hackbusch, Wolfgang; Schneider, Reinhold
6
2014
An analysis of discontinuous Galerkin methods for elliptic problems. Zbl 1099.65116
Schneider, Reinhold; Xu, Yuesheng; Zhou, Aihui
6
2006
Multiscale preconditioning for the coupling of FEM-BEM. Zbl 1071.65552
Harbrecht, Helmut; Paiva, Freddy; Pérez, Cristian; Schneider, Reinhold
6
2003
Numerical analysis of augmented plane wave methods for full-potential electronic structure calculations. Zbl 1330.65170
Chen, Huajie; Schneider, Reinhold
5
2015
QTT representation of the Hartree and exchange operators in electronic structure calculations. Zbl 1283.65038
Khoromskaia, Venera; Khoromskij, Boris; Schneider, Reinhold
5
2011
Perturbed preconditioned inverse iteration for operator eigenvalue problems with applications to adaptive wavelet discretization. Zbl 1208.65160
Rohwedder, Thorsten; Schneider, Reinhold; Zeiser, Andreas
5
2011
Error estimates for Hermite and even-tempered Gaussian approximations in quantum chemistry. Zbl 1300.41010
Bachmayr, Markus; Chen, Huajie; Schneider, Reinhold
4
2014
Concepts of data-sparse tensor-product approximation in many-particle modelling. Zbl 1214.81077
Flad, Heinz-Jürgen; Hackbusch, Wolfgang; Khoromskij, Boris N.; Schneider, Reinhold
4
2010
Analysis of the projected coupled cluster method in electronic structure calculation. Zbl 1170.81043
Schneider, Reinhold
4
2009
Fast wavelet BEM on complex geometries. Zbl 1391.65185
Harbrecht, H.; Kähler, U.; Schneider, R.
4
2005
Stability of a spline collocation method for strongly elliptic multidimensional singular integral equations. Zbl 0724.65134
Schneider, R.
4
1991
Reduction of order for pseudodifferential operators on Lipschitz domains. Zbl 0747.35056
Schneider, R.
4
1991
Bessel potential operators for canonical Lipschitz domains. Zbl 0737.46024
Schneider, Reinhold
4
1991
Sampling-free Bayesian inversion with adaptive hierarchical tensor representations. Zbl 1404.65261
Eigel, Martin; Marschall, Manuel; Schneider, Reinhold
3
2018
Error estimates for the coupled cluster method. Zbl 1297.65139
Rohwedder, Thorsten; Schneider, Reinhold
3
2013
Least squares methods for the coupling of FEM and BEM. Zbl 1055.65126
Gatica, Gabriel N.; Harbrecht, Helmut; Schneider, Reinhold
3
2003
On a quadrature algorithm for the piecewise linear wavelet collocation applied to boundary integral equations. Zbl 1074.65141
Rathsfeld, Andreas; Schneider, Reinhold
3
2003
Multiscale methods for the solution of the Helmholtz and Laplace equations. Zbl 0884.65110
Dahmen, W.; Kleemann, B.; Prößdorf, Siegfried; Schneider, R.
3
1997
Contributions to the theory of elliptic pseudodifferential operators on manifolds with nonsmooth boundaries. Zbl 0703.35184
Schneider, Reinhold
3
1989
The algebra of non-classical singular integral operators on half space. Zbl 0629.45014
Duduchava, Roland; Schneider, Reinhold
3
1987
Adaptive stochastic Galerkin FEM for lognormal coefficients in hierarchical tensor representations. Zbl 1439.65160
Eigel, Martin; Marschall, Manuel; Pfeffer, Max; Schneider, Reinhold
2
2020
Non-intrusive tensor reconstruction for high-dimensional random PDEs. Zbl 1419.35259
Eigel, Martin; Neumann, Johannes; Schneider, Reinhold; Wolf, Sebastian
2
2019
Intersection probabilities and kinematic formulas for polyhedral cones. Zbl 1413.52006
Schneider, R.
2
2018
Optimization of PIC codes by improved memory management. Zbl 1343.76058
Tskhakaya, D.; Schneider, R.
2
2007
Multiscale methods for pseudodifferential equations. Zbl 0900.65316
Dahmen, W.; Kleemann, B.; Prößdorf, Siegfried; Schneider, R.
2
1996
Operator equations, multiscale concepts and complexity. Zbl 0856.65157
Dahmen, Wolfgang; Kunoth, Angela; Schneider, Reinhold
2
1996
A note on multilevel based error estimation. Zbl 1342.65206
Harbrecht, Helmut; Schneider, Reinhold
1
2016
Error estimates of some numerical atomic orbitals in molecular simulations. Zbl 1373.81008
Chen, Huajie; Schneider, Reinhold
1
2015
Rapid solution of boundary integral equations by wavelet Galerkin schemes. Zbl 1190.65179
Harbrecht, Helmut; Schneider, Reinhold
1
2009
Cubature formulas for function spaces with moderate smoothness. Zbl 1130.65049
Gnewuch, Michael; Lindloh, René; Schneider, Reinhold; Srivastav, Anand
1
2007
Erratum: Multiresolution weighted norm equivalences and applications. Zbl 1094.65137
Beuchler, 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 0881.65106
Kleeman, Bernd H.; Rathsfeld, Andreas; Schneider, Reinhold
1
1996
Matrix compression by discrete wavelet transform. Zbl 0928.65178
Konik, Michael; Schneider, Reinhold; Steidl, Gabriele
1
1995
Adaptive stochastic Galerkin FEM for lognormal coefficients in hierarchical tensor representations. Zbl 1439.65160
Eigel, Martin; Marschall, Manuel; Pfeffer, Max; Schneider, Reinhold
2
2020
Non-intrusive tensor reconstruction for high-dimensional random PDEs. Zbl 1419.35259
Eigel, Martin; Neumann, Johannes; Schneider, Reinhold; Wolf, Sebastian
2
2019
Sampling-free Bayesian inversion with adaptive hierarchical tensor representations. Zbl 1404.65261
Eigel, Martin; Marschall, Manuel; Schneider, Reinhold
3
2018
Intersection probabilities and kinematic formulas for polyhedral cones. Zbl 1413.52006
Schneider, R.
2
2018
Low rank tensor recovery via iterative hard thresholding. Zbl 1372.65130
Rauhut, Holger; Schneider, Reinhold; Stojanac, Željka
20
2017
Adaptive stochastic Galerkin FEM with hierarchical tensor representations. Zbl 1397.65262
Eigel, Martin; Pfeffer, Max; Schneider, Reinhold
12
2017
Iterative methods based on soft thresholding of hierarchical tensors. Zbl 1397.65243
Bachmayr, Markus; Schneider, Reinhold
7
2017
Tensor networks and hierarchical tensors for the solution of high-dimensional partial differential equations. Zbl 1357.65153
Bachmayr, Markus; Schneider, Reinhold; Uschmajew, André
18
2016
A note on multilevel based error estimation. Zbl 1342.65206
Harbrecht, Helmut; Schneider, Reinhold
1
2016
Convergence results for projected line-search methods on varieties of low-rank matrices via Łojasiewicz inequality. Zbl 1355.65079
Schneider, Reinhold; Uschmajew, André
24
2015
Tensor completion in hierarchical tensor representations. Zbl 1333.94023
Rauhut, Holger; Schneider, Reinhold; Stojanac, Željka
12
2015
Numerical analysis of augmented plane wave methods for full-potential electronic structure calculations. Zbl 1330.65170
Chen, Huajie; Schneider, Reinhold
5
2015
Error estimates of some numerical atomic orbitals in molecular simulations. Zbl 1373.81008
Chen, Huajie; Schneider, Reinhold
1
2015
Approximation rates for the hierarchical tensor format in periodic Sobolev spaces. Zbl 1329.41033
Schneider, Reinhold; Uschmajew, André
19
2014
Tensor spaces and hierarchical tensor representations. Zbl 1317.65102
Hackbusch, Wolfgang; Schneider, Reinhold
6
2014
Error estimates for Hermite and even-tempered Gaussian approximations in quantum chemistry. Zbl 1300.41010
Bachmayr, Markus; Chen, Huajie; Schneider, Reinhold
4
2014
Dynamical approximation by hierarchical Tucker and tensor-train tensors. Zbl 1391.15087
Lubich, Christian; Rohwedder, Thorsten; Schneider, Reinhold; Vandereycken, Bart
31
2013
Tensor-structured factorized calculation of two-electron integrals in a general basis. Zbl 1266.65069
Khoromskaia, V.; Khoromskij, B. N.; Schneider, R.
13
2013
Error estimates for the coupled cluster method. Zbl 1297.65139
Rohwedder, Thorsten; Schneider, Reinhold
3
2013
The alternating linear scheme for tensor optimization in the tensor train format. Zbl 1252.15031
Holtz, Sebastian; Rohwedder, Thorsten; Schneider, Reinhold
67
2012
On the low-rank approximation by the pivoted Cholesky decomposition. Zbl 1244.65042
Harbrecht, Helmut; Peters, Michael; Schneider, Reinhold
35
2012
On manifolds of tensors of fixed TT-rank. Zbl 1242.15022
Holtz, Sebastian; Rohwedder, Thorsten; Schneider, Reinhold
30
2012
Variational calculus with sums of elementary tensors of fixed rank. Zbl 1259.65090
Espig, Mike; Hackbusch, Wolfgang; Rohwedder, Thorsten; Schneider, Reinhold
11
2012
An analysis for the DIIS acceleration method used in quantum chemistry calculations. Zbl 1252.81135
Rohwedder, Thorsten; Schneider, Reinhold
10
2011
Optimization problems in contracted tensor networks. Zbl 1380.49059
Espig, Mike; Hackbusch, Wolfgang; Handschuh, Stefan; Schneider, Reinhold
8
2011
Explicit Green operators for quantum mechanical Hamiltonians. I: The hydrogen atom. Zbl 1229.35158
Flad, Heinz-Jürgen; Harutyunyan, Gohar; Schneider, Reinhold; Schulze, Bert-Wolfgang
7
2011
QTT representation of the Hartree and exchange operators in electronic structure calculations. Zbl 1283.65038
Khoromskaia, Venera; Khoromskij, Boris; Schneider, Reinhold
5
2011
Perturbed preconditioned inverse iteration for operator eigenvalue problems with applications to adaptive wavelet discretization. Zbl 1208.65160
Rohwedder, Thorsten; Schneider, Reinhold; Zeiser, Andreas
5
2011
Wavelet solution of variable order pseudodifferential equations. Zbl 1202.65013
Schneider, R.; Reichmann, O.; Schwab, C.
9
2010
Concepts of data-sparse tensor-product approximation in many-particle modelling. Zbl 1214.81077
Flad, 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 1212.81001
Schneider, Reinhold; Rohwedder, Thorsten; Neelov, Alexey; Blauert, Johannes
16
2009
Analysis of the projected coupled cluster method in electronic structure calculation. Zbl 1170.81043
Schneider, Reinhold
4
2009
Rapid solution of boundary integral equations by wavelet Galerkin schemes. Zbl 1190.65179
Harbrecht, Helmut; Schneider, Reinhold
1
2009
Sparse second moment analysis for elliptic problems in stochastic domains. Zbl 1146.65007
Harbrecht, Helmut; Schneider, Reinhold; Schwab, Christoph
44
2008
Multilevel frames for sparse tensor product spaces. Zbl 1151.65010
Harbrecht, Helmut; Schneider, Reinhold; Schwab, Christoph
25
2008
Asymptotic regularity of solutions to Hartree-Fock equations with Coulomb potential. Zbl 1158.35435
Flad, Heinz-Jürgen; Schneider, Reinhold; Schulze, Bert-Wolfgang
9
2008
Adaptive eigenvalue computation: Complexity estimates. Zbl 1157.65029
Dahmen, Wolfgang; Rohwedder, Thorsten; Schneider, Reinhold; Zeiser, Andreas
8
2008
On convergence in elliptic shape optimization. Zbl 1354.49093
Eppler, Karsten; Harbrecht, Helmut; Schneider, Reinhold
28
2007
Adaptive methods for boundary integral equations: complexity and convergence estimates. Zbl 1129.65090
Dahmen, Wolfgang; Harbrecht, Helmut; Schneider, Reinnold
20
2007
Fast computation of adaptive wavelet expansions. Zbl 1144.65091
Barinka, A.; Dahmen, W.; Schneider, R.
8
2007
Best \(N\)-term approximation in electronic structure calculations. II: Jastrow factors. Zbl 1135.81029
Flad, Heinz-Jürgen; Hackbusch, Wolfgang; Schneider, Reinhold
7
2007
Optimization of PIC codes by improved memory management. Zbl 1343.76058
Tskhakaya, D.; Schneider, R.
2
2007
Cubature formulas for function spaces with moderate smoothness. Zbl 1130.65049
Gnewuch, Michael; Lindloh, René; Schneider, Reinhold; Srivastav, Anand
1
2007
Compression techniques for boundary integral equations. Asymptotically optimal complexity estimates. Zbl 1113.65114
Dahmen, Wolfgang; Harbrecht, Helmut; Schneider, Reinhold
70
2006
Wavelet Galerkin schemes for boundary integral equations – implementation and quadrature. Zbl 1117.65162
Harbrecht, Helmut; Schneider, Reinhold
41
2006
Best \(N\)-term approximation in electronic structure calculations. I: One-electron reduced density matrix. Zbl 1100.81050
Flad, Heinz-Jürgen; Hackbusch, Wolfgang; Schneider, Reinhold
9
2006
An analysis of discontinuous Galerkin methods for elliptic problems. Zbl 1099.65116
Schneider, Reinhold; Xu, Yuesheng; Zhou, Aihui
6
2006
Fast wavelet BEM on complex geometries. Zbl 1391.65185
Harbrecht, H.; Kähler, U.; Schneider, R.
4
2005
Erratum: Multiresolution weighted norm equivalences and applications. Zbl 1094.65137
Beuchler, Sven; Schneider, Reinhold; Schwab, Christoph
1
2005
Biorthogonal wavelet bases for the boundary element method. Zbl 1055.65136
Harbrecht, Helmut; Schneider, Reinhold
24
2004
Multiresolution weighted norm equivalencies and applications. Zbl 1058.65149
Beuchler, Sven; Schneider, Reinhold; Schwab, Christoph
12
2004
Fully discrete wavelet Galerkin schemes. Zbl 1035.65138
Harbrecht, Helmut; Konik, Michael; Schneider, Reinhold
12
2003
Self-regularization by projection for noisy pseudodifferential equations of negative order. Zbl 1074.65130
Harbrecht, Helmut; Pereverzev, Sergei; Schneider, Reinhold
10
2003
Multiscale preconditioning for the coupling of FEM-BEM. Zbl 1071.65552
Harbrecht, Helmut; Paiva, Freddy; Pérez, Cristian; Schneider, Reinhold
6
2003
Least squares methods for the coupling of FEM and BEM. Zbl 1055.65126
Gatica, Gabriel N.; Harbrecht, Helmut; Schneider, Reinhold
3
2003
On a quadrature algorithm for the piecewise linear wavelet collocation applied to boundary integral equations. Zbl 1074.65141
Rathsfeld, Andreas; Schneider, Reinhold
3
2003
Wavelet least squares methods for boundary value problems. Zbl 1013.65124
Dahmen, Wolfgang; Kunoth, Angela; Schneider, Reinhold
10
2002
Biorthogonal wavelet approximation for the coupling of FEM-BEM. Zbl 1012.65114
Harbrecht, H.; Paiva, F.; Pérez, C.; Schneider, R.
7
2002
Wavelet Galerkin schemes for 2D-BEM. Zbl 1005.65133
Harbrecht, Helmut; Schneider, Reinhold
12
2001
Nonlinear functionals of wavelet expansions – adaptive reconstruction and fast evaluation. Zbl 0962.65118
Dahmen, Wolfgang; Schneider, Reinhold; Xu, Yuesheng
26
2000
Wavelets on manifolds. I: Construction and domain decomposition. Zbl 0955.42025
Dahmen, Wolfgang; Schneider, Reinhold
69
1999
Composite wavelet bases for operator equations. Zbl 0932.65148
Dahmen, Wolfgang; Schneider, Reinhold
60
1999
Wavelets with complementary boundary conditions – functions spaces on the cube. Zbl 0931.46006
Dahmen, Wolfgang; Schneider, Reinhold
33
1998
Multiscale and wavelet matrix compression. Zbl 0899.65063
Schneider, Reinhold
32
1998
Stable multiscale bases and local error estimation for elliptic problems. Zbl 0872.65098
Dahlke, Stephan; Dahmen, Wolfgang; Hochmuth, Reinhard; Schneider, Reinhold
35
1997
Multiwavelets for second-kind integral equations. Zbl 0891.65121
Von Petersdorff, Tobias; Schwab, Christoph; Schneider, Reinhold
29
1997
Multiscale methods for the solution of the Helmholtz and Laplace equations. Zbl 0884.65110
Dahmen, W.; Kleemann, B.; Prößdorf, Siegfried; Schneider, R.
3
1997
Multiscale methods for pseudodifferential equations. Zbl 0900.65316
Dahmen, W.; Kleemann, B.; Prößdorf, Siegfried; Schneider, R.
2
1996
Operator equations, multiscale concepts and complexity. Zbl 0856.65157
Dahmen, 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 0881.65106
Kleeman, Bernd H.; Rathsfeld, Andreas; Schneider, Reinhold
1
1996
Matrix compression by discrete wavelet transform. Zbl 0928.65178
Konik, Michael; Schneider, Reinhold; Steidl, Gabriele
1
1995
Wavelet approximation methods for pseudodifferential equations. I: Stability and convergence. Zbl 0794.65082
Dahmen, Wolfgang; Prössdorf, Siegfried; Schneider, R.
40
1994
Multiscale methods for pseudo-differential equations on smooth closed manifolds. Zbl 0847.65081
Dahmen, Wolfgang; Prößdorf, Siegfried; Schneider, Reinhold
24
1994
Multiscale methods for pseudodifferential equations. Zbl 0788.65112
Dahmen, Wolfgang; Prössdorf, Siegfried; Schneider, R.
8
1994
A multiscale method for the double layer potential equation on a polyhedron. Zbl 0839.65128
Dahmen, Wolfgang; Kleemann, B.; Prößdorf, Siegfried; Schneider, Reinhold
7
1994
Wavelet approximation methods for pseudodifferential equations. II: Matrix compression and fast solution. Zbl 0826.65093
Dahmen, Wolfgang; Prößdorf, Siegfried; Schneider, Reinhold
66
1993
Spline approximation methods for multidimensional periodic pseudodifferential equations. Zbl 0757.65146
Prössdorf, Siegfried; Schneider, R.
12
1992
Error analysis of a boundary element collocation method for a screen problem in \(\mathbb{R}^ 3\). Zbl 0765.65108
Costabel, M.; Penzel, F.; Schneider, R.
7
1992
A spline collocation method for multidimensional strongly elliptic pseudodifferential operators of order zero. Zbl 0737.47043
Prössdorf, Siegfried; Schneider, R.
11
1991
Stability of a spline collocation method for strongly elliptic multidimensional singular integral equations. Zbl 0724.65134
Schneider, R.
4
1991
Reduction of order for pseudodifferential operators on Lipschitz domains. Zbl 0747.35056
Schneider, R.
4
1991
Bessel potential operators for canonical Lipschitz domains. Zbl 0737.46024
Schneider, Reinhold
4
1991
Contributions to the theory of elliptic pseudodifferential operators on manifolds with nonsmooth boundaries. Zbl 0703.35184
Schneider, Reinhold
3
1989
The algebra of non-classical singular integral operators on half space. Zbl 0629.45014
Duduchava, Roland; Schneider, Reinhold
3
1987
Integral equations with piecewise continuous coefficients in \(L_ p\)- spaces with weight. Zbl 0573.45001
Schneider, Reinhold
9
1985
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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
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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
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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)

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