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## Stevenson, Rob P.

Compute Distance To:
 Author ID: stevenson.rob-p Published as: Stevenson, R.; Stevenson, R. P.; Stevenson, Rob; Stevenson, Rob P. Homepage: https://staff.fnwi.uva.nl/r.p.stevenson External Links: MGP
 Documents Indexed: 85 Publications since 1991
all top 5

#### Co-Authors

 30 single-authored 6 Chegini, Nabi G. 6 Dahlke, Stephan 6 Nochetto, Ricardo Horacio 6 Schwab, Christoph 6 Verani, Marco 5 Canuto, Claudio 3 Broersen, Dirk 3 Dahmen, Wolfgang A. 3 Gantumur, Tsogtgerel 3 Rekatsinas, Nikolaos 3 Werner, Manuel 2 Dijkema, Tammo Jan 2 Friedrich, Ulrich 2 Harbrecht, Helmut 2 Kestler, Sebastian 2 Kutyniok, Gitta 2 Nguyen, Hoang 2 van Venetië, Raymond 1 Berrone, Stefano 1 Bonito, Andrea 1 Brandts, Jan H. 1 Carstensen, Carsten 1 Dauge, Monique 1 Davydov, Oleg V. 1 Demlow, Alan 1 Diening, Lars 1 Fornasier, Massimo 1 Gallistl, Dietmar 1 Guberović, Rafaela 1 Kondratyuk, Yaroslav 1 Kreuzer, Christian 1 Lamichhane, Bishnu Prasad 1 Lellek, Dominik 1 Lui, Shiu Hong 1 Mommer, Mario S. 1 Raasch, Thorsten 1 Schedensack, Mira 1 Süli, Endre E. 1 Westerdiep, Jan 1 Wohlmuth, Barbara I.
all top 5

#### Serials

 15 Mathematics of Computation 12 Numerische Mathematik 8 SIAM Journal on Numerical Analysis 7 IMA Journal of Numerical Analysis 4 Constructive Approximation 3 Computers & Mathematics with Applications 3 Journal of Computational and Applied Mathematics 3 SIAM Journal on Mathematical Analysis 3 Foundations of Computational Mathematics 3 Computational Methods in Applied Mathematics 3 Oberwolfach Reports 2 Computing 2 Applied Numerical Mathematics 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Numerical Functional Analysis and Optimization 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Journal of Scientific Computing 1 Mathematica Bohemica 1 Applied and Computational Harmonic Analysis 1 Advances in Computational Mathematics 1 International Journal of Wavelets, Multiresolution and Information Processing
all top 5

#### Fields

 82 Numerical analysis (65-XX) 50 Partial differential equations (35-XX) 13 Approximations and expansions (41-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 7 Fluid mechanics (76-XX) 6 Functional analysis (46-XX) 5 Operator theory (47-XX) 3 General and overarching topics; collections (00-XX) 3 Integral equations (45-XX) 1 Ordinary differential equations (34-XX) 1 Computer science (68-XX)

#### Citations contained in zbMATH Open

73 Publications have been cited 1,099 times in 600 Documents Cited by Year
Optimality of a standard adaptive finite element method. Zbl 1136.65109
Stevenson, Rob
2007
The completion of locally refined simplicial partitions created by bisection. Zbl 1131.65095
Stevenson, Rob
2008
Space-time adaptive wavelet methods for parabolic evolution problems. Zbl 1198.65249
Schwab, Christoph; Stevenson, Rob
2009
Adaptive solution of operator equations using wavelet frames. Zbl 1057.41010
Stevenson, Rob
2003
An optimal adaptive wavelet method without coarsening of the iterands. Zbl 1115.41023
Gantumur, Tsogtgerel; Harbrecht, Helmut; Stevenson, Rob
2007
An adaptive wavelet method for solving high-dimensional elliptic PDEs. Zbl 1205.65313
Dijkema, Tammo Jan; Schwab, Christoph; Stevenson, Rob
2009
Element-by-element construction of wavelets satisfying stability and moment conditions. Zbl 0942.65130
Dahmen, Wolfgang; Stevenson, Rob
1999
Adaptive frame methods for elliptic operator equations: The steepest descent approach. Zbl 1153.65050
Dahlke, Stephan; Raasch, Thorsten; Werner, Manuel; Fornasier, Massimo; Stevenson, Rob
2007
Adaptive wavelet methods for solving operator equations: An overview. Zbl 1192.65063
Stevenson, Rob
2009
An optimal adaptive finite element method. Zbl 1081.65112
Stevenson, Rob
2005
On the compressibility of operators in wavelet coordinates. Zbl 1087.47012
Stevenson, Rob
2004
A Petrov-Galerkin discretization with optimal test space of a mild-weak formulation of convection-diffusion equations in mixed form. Zbl 1311.65144
Broersen, Dirk; Stevenson, Rob P.
2015
An optimal adaptive finite element method for the Stokes problem. Zbl 1166.65059
Kondratyuk, Yaroslav; Stevenson, Rob
2008
A robust Petrov-Galerkin discretisation of convection-diffusion equations. Zbl 1364.65191
Broersen, Dirk; Stevenson, Rob
2014
Adaptive wavelet schemes for parabolic problems: sparse matrices and numerical results. Zbl 1225.65094
Chegini, Nabi; Stevenson, Rob
2011
Convergence and quasi-optimality of an adaptive finite element method for controlling $$L_{2}$$ errors. Zbl 1211.65146
Demlow, Alan; Stevenson, Rob
2011
Adaptive wavelet algorithms for elliptic PDE’s on product domains. Zbl 1127.41009
Schwab, Christoph; Stevenson, Rob
2008
Wavelets with patchwise cancellation properties. Zbl 1112.46012
Harbrecht, Helmut; Stevenson, Rob
2006
Computation of differential operators in wavelet coordinates. Zbl 1158.65355
Gantumur, Tsogtgerel; Stevenson, Rob
2006
Higher order mortar finite element methods in 3D with dual Lagrange multiplier bases. Zbl 1082.65120
Lamichhane, B. P.; Stevenson, R. P.; Wohlmuth, B. I.
2005
Nonconforming finite elements and the cascadic multi-grid method. Zbl 0996.65139
Stevenson, Rob
2002
Sparse tensor product wavelet approximation of singular functions. Zbl 1218.65127
Dauge, Monique; Stevenson, Rob
2010
A goal-oriented adaptive finite element method with convergence rates. Zbl 1195.65174
Mommer, Mario S.; Stevenson, Rob
2009
A sparse Laplacian in tensor product wavelet coordinates. Zbl 1215.65175
Dijkema, Tammo Jan; Stevenson, Rob
2010
Stable three-point wavelet bases on general meshes. Zbl 0915.65114
Stevenson, Rob
1998
On the stability of DPG formulations of transport equations. Zbl 1383.65102
Broersen, D.; Dahmen, W.; Stevenson, R. P.
2018
The adaptive tensor product wavelet scheme: sparse matrices and the application to singularly perturbed problems. Zbl 1242.65292
Chegini, Nabi; Stevenson, Rob
2012
Composite wavelet bases with extended stability and cancellation properties. Zbl 1141.46007
Stevenson, Rob
2007
Computation of singular integral operators in wavelet coordinates. Zbl 1087.65120
Gantumur, T.; Stevenson, R. P.
2006
Locally supported, piecewise polynomial biorthogonal wavelets on nonuniform meshes. Zbl 1045.42028
Stevenson, Rob
2003
Piecewise linear (pre-)wavelets on non-uniform meshes. Zbl 0926.65110
Stevenson, Rob
1998
Convergence and optimality of $${\mathbf {hp}}$$-AFEM. Zbl 1364.65241
Canuto, Claudio; Nochetto, Ricardo H.; Stevenson, Rob; Verani, Marco
2017
Instance optimality of the adaptive maximum strategy. Zbl 1338.65244
Diening, Lars; Kreuzer, Christian; Stevenson, Rob
2016
A remark on newest vertex bisection in any space dimension. Zbl 1297.65189
Gallistl, Dietmar; Schedensack, Mira; Stevenson, Rob P.
2014
Finite element wavelets with improved quantitative properties. Zbl 1173.65077
Nguyen, Hoang; Stevenson, Rob
2009
Space-time variational saddle point formulations of Stokes and Navier-Stokes equations. Zbl 1295.35354
Guberovic, Rafaela; Schwab, Christoph; Stevenson, Rob
2014
Divergence-free wavelet bases on the hypercube: free-slip boundary conditions, and applications for solving the instationary Stokes equations. Zbl 1220.35134
Stevenson, Rob
2011
Divergence-free wavelet bases on the hypercube. Zbl 1204.42055
Stevenson, Rob
2011
Robustness of multi-grid applied to anisotropic equations on convex domains and on domains with re-entrant corners. Zbl 0791.65090
Stevenson, Rob
1993
On $$p$$-robust saturation for $$hp$$-AFEM. Zbl 1373.65082
Canuto, Claudio; Nochetto, Ricardo H.; Stevenson, Rob; Verani, Marco
2017
Fast evaluation of system matrices w.r.t. multi-tree collections of tensor product refinable basis functions. Zbl 1293.65156
Kestler, Sebastian; Stevenson, Rob
2014
Hierarchical Riesz bases for $$H^{s}(\Omega),\;1 < s < \frac{5}{2}$$. Zbl 1101.41015
Davydov, Oleg; Stevenson, Rob
2005
A robust hierarchical basis preconditioner on general meshes. Zbl 0895.65057
Stevenson, Rob
1997
Fractional space-time variational formulations of (Navier-) Stokes equations. Zbl 1375.35329
Schwab, Christoph; Stevenson, Rob
2017
Computation of differential operators in aggregated wavelet frame coordinates. Zbl 1145.65036
Stevenson, Rob; Werner, Manuel
2008
Robustness of the additive and multiplicative frequency decomposition multi-level method. Zbl 0824.65105
Stevenson, R. P.
1995
Uniform preconditioners for problems of negative order. Zbl 07146711
Stevenson, Rob; van Venetië, Raymond
2020
A quadratic finite element wavelet Riesz basis. Zbl 06899082
Rekatsinas, Nikolaos; Stevenson, Rob
2018
Adaptive wavelet methods for linear and nonlinear least-squares problems. Zbl 1303.65043
Stevenson, Rob
2014
An efficient approximate residual evaluation in the adaptive tensor product wavelet method. Zbl 1292.65049
Kestler, Sebastian; Stevenson, Rob
2013
A multiplicative Schwarz adaptive wavelet method for elliptic boundary value problems. Zbl 1198.65244
Stevenson, Rob; Werner, Manuel
2009
The uniform saturation property for a singularly perturbed reaction-diffusion equation. Zbl 1082.65124
Stevenson, Rob P.
2005
An optimal adaptive wavelet method for first order system least squares. Zbl 1403.65141
Rekatsinas, Nikolaos; Stevenson, Rob
2018
Divergence-free wavelets on the hypercube: general boundary conditions. Zbl 1357.42035
Stevenson, Rob
2016
Piecewise tensor product wavelet bases by extensions and approximation rates. Zbl 1277.65093
Chegini, Nabi; Dahlke, Stephan; Friedrich, Ulrich; Stevenson, Rob
2013
Modified ILU as a smoother. Zbl 0816.65012
Stevenson, Rob
1994
Robust multi-grid with 7-point ILU smoothing. Zbl 0832.65135
Stevenson, Rob
1994
New estimates of the contraction number of V-cycle multi-grid with applications to anisotropic equations. Zbl 0788.65109
Stevenson, Rob
1993
Discrete Sobolev spaces and regularity of elliptic difference schemes. Zbl 0733.65058
Stevenson, Rob
1991
High-order adaptive Galerkin methods. Zbl 1352.65476
Canuto, Claudio; Nochetto, Ricardo H.; Stevenson, Rob; Verani, Marco
2015
An adaptive wavelet method for semi-linear first-order system least squares. Zbl 1327.65236
Chegini, Nabi; Stevenson, Rob
2015
Fast evaluation of nonlinear functionals of tensor product wavelet expansions. Zbl 1232.65027
Schwab, Christoph; Stevenson, Rob
2011
More on the order of prolongations and restrictions. Zbl 1155.65107
Stevenson, Rob
2008
Finite-element wavelets on manifolds. Zbl 1016.65114
Nguyen, Hoang; Stevenson, Rob
2003
An analysis of nonconforming multi-grid methods, leading to an improved method for the Morley element. Zbl 1020.65094
Stevenson, Rob
2003
Experiments in 3D with a three-point hierarchical basis preconditioner. Zbl 0872.65106
Stevenson, Rob
1997
Uniform preconditioners for problems of positive order. Zbl 07235919
Stevenson, Rob; van Venetië, Raymond
2020
Adaptive strategies for transport equations. Zbl 1420.65109
Dahmen, Wolfgang; Stevenson, Rob P.
2019
A saturation property for the spectral-Galerkin approximation of a Dirichlet problem in a square. Zbl 1426.65187
Canuto, Claudio; Nochetto, Ricardo H.; Stevenson, Rob P.; Verani, Marco
2019
Adaptive spectral Galerkin methods with dynamic marking. Zbl 1457.65231
Canuto, Claudio; Nochetto, Ricardo H.; Stevenson, Rob; Verani, Marco
2016
Piecewise tensor product wavelet bases by extensions and approximation rates. Zbl 1317.65233
Chegini, Nabi G.; Dahlke, Stephan; Friedrich, Ulrich; Stevenson, Rob
2014
First-order system least squares with inhomogeneous boundary conditions. Zbl 1296.65168
Stevenson, Rob P.
2014
The frequency decomposition multilevel method: A robust additive hiearchical basis preconditioner. Zbl 0856.65132
Stevenson, Rob
1996
Uniform preconditioners for problems of negative order. Zbl 07146711
Stevenson, Rob; van Venetië, Raymond
2020
Uniform preconditioners for problems of positive order. Zbl 07235919
Stevenson, Rob; van Venetië, Raymond
2020
Adaptive strategies for transport equations. Zbl 1420.65109
Dahmen, Wolfgang; Stevenson, Rob P.
2019
A saturation property for the spectral-Galerkin approximation of a Dirichlet problem in a square. Zbl 1426.65187
Canuto, Claudio; Nochetto, Ricardo H.; Stevenson, Rob P.; Verani, Marco
2019
On the stability of DPG formulations of transport equations. Zbl 1383.65102
Broersen, D.; Dahmen, W.; Stevenson, R. P.
2018
A quadratic finite element wavelet Riesz basis. Zbl 06899082
Rekatsinas, Nikolaos; Stevenson, Rob
2018
An optimal adaptive wavelet method for first order system least squares. Zbl 1403.65141
Rekatsinas, Nikolaos; Stevenson, Rob
2018
Convergence and optimality of $${\mathbf {hp}}$$-AFEM. Zbl 1364.65241
Canuto, Claudio; Nochetto, Ricardo H.; Stevenson, Rob; Verani, Marco
2017
On $$p$$-robust saturation for $$hp$$-AFEM. Zbl 1373.65082
Canuto, Claudio; Nochetto, Ricardo H.; Stevenson, Rob; Verani, Marco
2017
Fractional space-time variational formulations of (Navier-) Stokes equations. Zbl 1375.35329
Schwab, Christoph; Stevenson, Rob
2017
Instance optimality of the adaptive maximum strategy. Zbl 1338.65244
Diening, Lars; Kreuzer, Christian; Stevenson, Rob
2016
Divergence-free wavelets on the hypercube: general boundary conditions. Zbl 1357.42035
Stevenson, Rob
2016
Adaptive spectral Galerkin methods with dynamic marking. Zbl 1457.65231
Canuto, Claudio; Nochetto, Ricardo H.; Stevenson, Rob; Verani, Marco
2016
A Petrov-Galerkin discretization with optimal test space of a mild-weak formulation of convection-diffusion equations in mixed form. Zbl 1311.65144
Broersen, Dirk; Stevenson, Rob P.
2015
High-order adaptive Galerkin methods. Zbl 1352.65476
Canuto, Claudio; Nochetto, Ricardo H.; Stevenson, Rob; Verani, Marco
2015
An adaptive wavelet method for semi-linear first-order system least squares. Zbl 1327.65236
Chegini, Nabi; Stevenson, Rob
2015
A robust Petrov-Galerkin discretisation of convection-diffusion equations. Zbl 1364.65191
Broersen, Dirk; Stevenson, Rob
2014
A remark on newest vertex bisection in any space dimension. Zbl 1297.65189
Gallistl, Dietmar; Schedensack, Mira; Stevenson, Rob P.
2014
Space-time variational saddle point formulations of Stokes and Navier-Stokes equations. Zbl 1295.35354
Guberovic, Rafaela; Schwab, Christoph; Stevenson, Rob
2014
Fast evaluation of system matrices w.r.t. multi-tree collections of tensor product refinable basis functions. Zbl 1293.65156
Kestler, Sebastian; Stevenson, Rob
2014
Adaptive wavelet methods for linear and nonlinear least-squares problems. Zbl 1303.65043
Stevenson, Rob
2014
Piecewise tensor product wavelet bases by extensions and approximation rates. Zbl 1317.65233
Chegini, Nabi G.; Dahlke, Stephan; Friedrich, Ulrich; Stevenson, Rob
2014
First-order system least squares with inhomogeneous boundary conditions. Zbl 1296.65168
Stevenson, Rob P.
2014
An efficient approximate residual evaluation in the adaptive tensor product wavelet method. Zbl 1292.65049
Kestler, Sebastian; Stevenson, Rob
2013
Piecewise tensor product wavelet bases by extensions and approximation rates. Zbl 1277.65093
Chegini, Nabi; Dahlke, Stephan; Friedrich, Ulrich; Stevenson, Rob
2013
The adaptive tensor product wavelet scheme: sparse matrices and the application to singularly perturbed problems. Zbl 1242.65292
Chegini, Nabi; Stevenson, Rob
2012
Adaptive wavelet schemes for parabolic problems: sparse matrices and numerical results. Zbl 1225.65094
Chegini, Nabi; Stevenson, Rob
2011
Convergence and quasi-optimality of an adaptive finite element method for controlling $$L_{2}$$ errors. Zbl 1211.65146
Demlow, Alan; Stevenson, Rob
2011
Divergence-free wavelet bases on the hypercube: free-slip boundary conditions, and applications for solving the instationary Stokes equations. Zbl 1220.35134
Stevenson, Rob
2011
Divergence-free wavelet bases on the hypercube. Zbl 1204.42055
Stevenson, Rob
2011
Fast evaluation of nonlinear functionals of tensor product wavelet expansions. Zbl 1232.65027
Schwab, Christoph; Stevenson, Rob
2011
Sparse tensor product wavelet approximation of singular functions. Zbl 1218.65127
Dauge, Monique; Stevenson, Rob
2010
A sparse Laplacian in tensor product wavelet coordinates. Zbl 1215.65175
Dijkema, Tammo Jan; Stevenson, Rob
2010
Space-time adaptive wavelet methods for parabolic evolution problems. Zbl 1198.65249
Schwab, Christoph; Stevenson, Rob
2009
An adaptive wavelet method for solving high-dimensional elliptic PDEs. Zbl 1205.65313
Dijkema, Tammo Jan; Schwab, Christoph; Stevenson, Rob
2009
Adaptive wavelet methods for solving operator equations: An overview. Zbl 1192.65063
Stevenson, Rob
2009
A goal-oriented adaptive finite element method with convergence rates. Zbl 1195.65174
Mommer, Mario S.; Stevenson, Rob
2009
Finite element wavelets with improved quantitative properties. Zbl 1173.65077
Nguyen, Hoang; Stevenson, Rob
2009
A multiplicative Schwarz adaptive wavelet method for elliptic boundary value problems. Zbl 1198.65244
Stevenson, Rob; Werner, Manuel
2009
The completion of locally refined simplicial partitions created by bisection. Zbl 1131.65095
Stevenson, Rob
2008
An optimal adaptive finite element method for the Stokes problem. Zbl 1166.65059
Kondratyuk, Yaroslav; Stevenson, Rob
2008
Adaptive wavelet algorithms for elliptic PDE’s on product domains. Zbl 1127.41009
Schwab, Christoph; Stevenson, Rob
2008
Computation of differential operators in aggregated wavelet frame coordinates. Zbl 1145.65036
Stevenson, Rob; Werner, Manuel
2008
More on the order of prolongations and restrictions. Zbl 1155.65107
Stevenson, Rob
2008
Optimality of a standard adaptive finite element method. Zbl 1136.65109
Stevenson, Rob
2007
An optimal adaptive wavelet method without coarsening of the iterands. Zbl 1115.41023
Gantumur, Tsogtgerel; Harbrecht, Helmut; Stevenson, Rob
2007
Adaptive frame methods for elliptic operator equations: The steepest descent approach. Zbl 1153.65050
Dahlke, Stephan; Raasch, Thorsten; Werner, Manuel; Fornasier, Massimo; Stevenson, Rob
2007
Composite wavelet bases with extended stability and cancellation properties. Zbl 1141.46007
Stevenson, Rob
2007
Wavelets with patchwise cancellation properties. Zbl 1112.46012
Harbrecht, Helmut; Stevenson, Rob
2006
Computation of differential operators in wavelet coordinates. Zbl 1158.65355
Gantumur, Tsogtgerel; Stevenson, Rob
2006
Computation of singular integral operators in wavelet coordinates. Zbl 1087.65120
Gantumur, T.; Stevenson, R. P.
2006
An optimal adaptive finite element method. Zbl 1081.65112
Stevenson, Rob
2005
Higher order mortar finite element methods in 3D with dual Lagrange multiplier bases. Zbl 1082.65120
Lamichhane, B. P.; Stevenson, R. P.; Wohlmuth, B. I.
2005
Hierarchical Riesz bases for $$H^{s}(\Omega),\;1 < s < \frac{5}{2}$$. Zbl 1101.41015
Davydov, Oleg; Stevenson, Rob
2005
The uniform saturation property for a singularly perturbed reaction-diffusion equation. Zbl 1082.65124
Stevenson, Rob P.
2005
On the compressibility of operators in wavelet coordinates. Zbl 1087.47012
Stevenson, Rob
2004
Adaptive solution of operator equations using wavelet frames. Zbl 1057.41010
Stevenson, Rob
2003
Locally supported, piecewise polynomial biorthogonal wavelets on nonuniform meshes. Zbl 1045.42028
Stevenson, Rob
2003
Finite-element wavelets on manifolds. Zbl 1016.65114
Nguyen, Hoang; Stevenson, Rob
2003
An analysis of nonconforming multi-grid methods, leading to an improved method for the Morley element. Zbl 1020.65094
Stevenson, Rob
2003
Nonconforming finite elements and the cascadic multi-grid method. Zbl 0996.65139
Stevenson, Rob
2002
Element-by-element construction of wavelets satisfying stability and moment conditions. Zbl 0942.65130
Dahmen, Wolfgang; Stevenson, Rob
1999
Stable three-point wavelet bases on general meshes. Zbl 0915.65114
Stevenson, Rob
1998
Piecewise linear (pre-)wavelets on non-uniform meshes. Zbl 0926.65110
Stevenson, Rob
1998
A robust hierarchical basis preconditioner on general meshes. Zbl 0895.65057
Stevenson, Rob
1997
Experiments in 3D with a three-point hierarchical basis preconditioner. Zbl 0872.65106
Stevenson, Rob
1997
The frequency decomposition multilevel method: A robust additive hiearchical basis preconditioner. Zbl 0856.65132
Stevenson, Rob
1996
Robustness of the additive and multiplicative frequency decomposition multi-level method. Zbl 0824.65105
Stevenson, R. P.
1995
Modified ILU as a smoother. Zbl 0816.65012
Stevenson, Rob
1994
Robust multi-grid with 7-point ILU smoothing. Zbl 0832.65135
Stevenson, Rob
1994
Robustness of multi-grid applied to anisotropic equations on convex domains and on domains with re-entrant corners. Zbl 0791.65090
Stevenson, Rob
1993
New estimates of the contraction number of V-cycle multi-grid with applications to anisotropic equations. Zbl 0788.65109
Stevenson, Rob
1993
Discrete Sobolev spaces and regularity of elliptic difference schemes. Zbl 0733.65058
Stevenson, Rob
1991
all top 5

#### Cited by 752 Authors

 41 Stevenson, Rob P. 33 Praetorius, Dirk 31 Schwab, Christoph 27 Carstensen, Carsten 23 Führer, Thomas 20 Dahlke, Stephan 17 Harbrecht, Helmut 16 Karkulik, Michael 14 Dahmen, Wolfgang A. 14 Heuer, Norbert 13 Urban, Karsten 12 Feischl, Michael 12 Nochetto, Ricardo Horacio 10 Canuto, Claudio 10 Černá, Dana 9 Fornasier, Massimo 9 Raasch, Thorsten 9 Schneider, Reinhold 9 Verani, Marco 8 Finěk, Václav 8 Xu, Jinchao 7 Gallistl, Dietmar 7 Xu, Yifeng 6 Chen, Huangxin 6 Chen, Long 6 Demlow, Alan 6 Gantumur, Tsogtgerel 6 Griebel, Michael 6 Haberl, Alexander 6 Kunoth, Angela 6 Lamichhane, Bishnu Prasad 6 Pollock, Sara 6 Wohlmuth, Barbara I. 5 Andreev, Roman 5 Aurada, Markus 5 Bacuta, Constantin 5 Bringmann, Philipp 5 Cohen, Albert 5 Demkowicz, Leszek F. 5 Gantner, Gregor 5 Gittelson, Claude Jeffrey 5 Hu, Jun 5 Kreuzer, Christian 5 Leng, Haitao 5 Morin, Pedro 5 Popp, Alexander 5 Shi, Zhongci 5 Vohralík, Martin 5 Wall, Wolfgang A. 5 Xu, Fei 4 Bachmayr, Markus 4 Balazs, Peter 4 Bespalov, Alexei 4 Bonito, Andrea 4 Chen, Yanping 4 DeVore, Ronald A. 4 Döhring, Nicolas 4 Ern, Alexandre 4 Goyal, Kavita 4 Grohs, Philipp 4 Hoppe, Ronald H. W. 4 Hu, Hongling 4 Kestler, Sebastian 4 Kinzel, Stefan 4 Larsson, Stig 4 Mehra, Mani 4 Melenk, Jens Markus 4 Rabus, Hella 4 Shu, Shi 4 Steinbach, Olaf 4 Süli, Endre E. 4 van der Zee, Kristoffer George 4 Veeser, Andreas 4 Xu, Xuejun 4 Zhong, Liuqiang 4 Zou, Jun 3 Arefijamaal, Ali Akbar 3 Bank, Randolph E. 3 Becker, Roland 3 Berrone, Stefano 3 Boffi, Daniele 3 Buffa, Annalisa 3 Chung, Tsz Shun Eric 3 Cioica, Petru A. 3 Dörfler, Willibald 3 Eigel, Martin 3 Erath, Christoph 3 Friedrich, Ulrich 3 Garau, Eduardo M. 3 Giannelli, Carlotta 3 Gopalakrishnan, Jay 3 He, Dongdong 3 Hellwig, Friederike 3 Herrmann, Lukas 3 Holst, Michael J. 3 Huang, Qiumei 3 Jiang, Yingchun 3 Kirchner, Kristin 3 Korotov, Sergey 3 Langer, Ulrich ...and 652 more Authors
all top 5

#### Cited in 109 Serials

 65 Mathematics of Computation 53 Numerische Mathematik 42 Computers & Mathematics with Applications 32 Journal of Computational and Applied Mathematics 32 SIAM Journal on Numerical Analysis 24 Computer Methods in Applied Mechanics and Engineering 22 Journal of Scientific Computing 19 Applied Numerical Mathematics 17 Advances in Computational Mathematics 16 Computational Methods in Applied Mathematics 15 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 14 Journal of Computational Physics 12 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 12 Foundations of Computational Mathematics 10 Applied and Computational Harmonic Analysis 9 Numerical Methods for Partial Differential Equations 9 SIAM Journal on Scientific Computing 7 Applied Mathematics and Computation 7 Calcolo 6 Constructive Approximation 6 Numerical Algorithms 6 Numerical Linear Algebra with Applications 6 Computing and Visualization in Science 6 Journal of Numerical Mathematics 5 Computing 5 Computational Mechanics 4 Applicable Analysis 4 BIT 4 International Journal of Computer Mathematics 3 Journal of Mathematical Analysis and Applications 3 Journal of Approximation Theory 3 Numerical Functional Analysis and Optimization 3 Results in Mathematics 3 Computer Aided Geometric Design 3 Journal of Complexity 3 Applications of Mathematics 3 Engineering Analysis with Boundary Elements 3 The Journal of Fourier Analysis and Applications 3 Multiscale Modeling & Simulation 3 International Journal of Wavelets, Multiresolution and Information Processing 3 Acta Numerica 3 Science China. Mathematics 2 International Journal for Numerical Methods in Engineering 2 Mathematics and Computers in Simulation 2 Science in China. Series A 2 Applied Mathematical Modelling 2 Linear Algebra and its Applications 2 ETNA. Electronic Transactions on Numerical Analysis 2 Journal of Inequalities and Applications 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Analysis and Applications (Singapore) 2 International Journal of Computational Methods 2 Axioms 2 Stochastic and Partial Differential Equations. Analysis and Computations 2 SIAM/ASA Journal on Uncertainty Quantification 2 Sahand Communications in Mathematical Analysis 1 Computers and Fluids 1 Communications in Mathematical Physics 1 Inverse Problems 1 Letters in Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Wave Motion 1 Journal of Differential Equations 1 Monatshefte für Mathematik 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Control and Optimization 1 Stochastic Analysis and Applications 1 Mathematical and Computer Modelling 1 Journal of Integral Equations and Applications 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 Advances in Engineering Software 1 Potential Analysis 1 Computational Optimization and Applications 1 Communications in Numerical Methods in Engineering 1 Computational and Applied Mathematics 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Finance and Stochastics 1 Mathematical Communications 1 International Journal of Computational Fluid Dynamics 1 Vietnam Journal of Mathematics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Acta Mathematica Sinica. English Series 1 Engineering Computations 1 Archives of Computational Methods in Engineering 1 Journal of Systems Science and Complexity 1 Sādhanā 1 Central European Journal of Mathematics 1 Mediterranean Journal of Mathematics 1 Oberwolfach Reports 1 Boundary Value Problems 1 GAMM-Mitteilungen 1 Advances in High Energy Physics 1 Advances in Pure and Applied Mathematics 1 Journal of Pseudo-Differential Operators and Applications 1 Kyoto Journal of Mathematics ...and 9 more Serials
all top 5

#### Cited in 34 Fields

 543 Numerical analysis (65-XX) 243 Partial differential equations (35-XX) 56 Harmonic analysis on Euclidean spaces (42-XX) 55 Fluid mechanics (76-XX) 48 Approximations and expansions (41-XX) 38 Mechanics of deformable solids (74-XX) 28 Operator theory (47-XX) 28 Probability theory and stochastic processes (60-XX) 26 Calculus of variations and optimal control; optimization (49-XX) 21 Functional analysis (46-XX) 17 Optics, electromagnetic theory (78-XX) 10 Computer science (68-XX) 9 Integral equations (45-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Biology and other natural sciences (92-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Ordinary differential equations (34-XX) 5 Quantum theory (81-XX) 5 Information and communication theory, circuits (94-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Geophysics (86-XX) 3 Operations research, mathematical programming (90-XX) 3 Systems theory; control (93-XX) 2 Potential theory (31-XX) 2 Special functions (33-XX) 2 Statistics (62-XX) 1 General and overarching topics; collections (00-XX) 1 Measure and integration (28-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Astronomy and astrophysics (85-XX)