Edit Profile (opens in new tab) Silvester, David J. Co-Author Distance Author ID: silvester.david-j Published as: Silvester, David; Silvester, David J.; Silvester, D. J.; Silvester, D. more...less External Links: ORCID Documents Indexed: 73 Publications since 1984, including 3 Books and 5 Additional arXiv Preprints 2 Contributions as Editor Co-Authors: 58 Co-Authors with 72 Joint Publications 1,764 Co-Co-Authors all top 5 Co-Authors 3 single-authored 15 Elman, Howard C. 15 Wathen, Andrew John 14 Powell, Catherine Elizabeth 8 Bespalov, Alexei 5 Fischer, Bernd 5 Kay, David A. 5 Khan, Arbaz 5 Liao, Qifeng 5 Ramage, Alison 3 Griffiths, David F. 3 Mihajlović, Milan D. 3 Thatcher, Ronald W. 3 Tuminaro, Ray S. 2 Benzi, Michele 2 Cai, Xiao-Chuan 2 Duff, Iain S. 2 Gresho, Philip M. 2 Jordan, Kirk E. 2 Kechkar, Nasserdine 2 Kelley, Tim 2 Kilmer, Misha Elena 2 Leyffer, Sven 2 Manteuffel, Thomas A. 2 McCormick, Steve Fahrney 2 Norburn, Sean 2 Pestana, Jennifer 2 Pranjal 2 Shadid, John N. 2 Simoncini, Valeria 2 Walker, Homer F. 2 Woodward, Carol S. 2 Yavneh, Irad 1 Atanga, John 1 Dold, John W. 1 Duminil, Sébastien 1 Duthie, J. C. 1 Ernst, Oliver G. 1 Feng, Yani 1 Freund, Roland W. 1 Hanby, R. F. 1 Howle, Victoria E. 1 Kent, Benjamin M. 1 Keyes, David Elliot 1 Knoll, Dana A. 1 Livshits, Irene 1 Loghin, Daniel 1 Olson, Luke N. 1 Papanikos, Georgios 1 Pearson, John W. 1 Rocchi, Leonardo 1 Sadok, Hassane 1 Scheichl, Robert 1 Smethurst, C. A. 1 Smith, Antony 1 Syamsudhuha 1 Ullmann, Elisabeth 1 Xu, Feng 1 Zimoń, Małgorzata J. all top 5 Serials 16 SIAM Journal on Scientific Computing 7 International Journal for Numerical Methods in Fluids 5 IMA Journal of Numerical Analysis 4 Computer Methods in Applied Mechanics and Engineering 4 SIAM Journal on Numerical Analysis 3 Numerische Mathematik 2 Computers & Mathematics with Applications 2 Journal of Computational Physics 2 Mathematics of Computation 2 ACM Transactions on Mathematical Software 2 BIT 2 Journal of Scientific Computing 2 Numerical Mathematics and Scientific Computation 1 Computers and Fluids 1 Journal of Computational and Applied Mathematics 1 Parallel Computing 1 Applied Numerical Mathematics 1 SIAM Journal on Matrix Analysis and Applications 1 Numerical Algorithms 1 SIAM Review 1 Discrete and Continuous Dynamical Systems. Series S 1 SIAM/ASA Journal on Uncertainty Quantification 1 Springer Undergraduate Mathematics Series all top 5 Fields 56 Numerical analysis (65-XX) 42 Fluid mechanics (76-XX) 26 Partial differential equations (35-XX) 3 Mechanics of deformable solids (74-XX) 2 General and overarching topics; collections (00-XX) 2 Probability theory and stochastic processes (60-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 60 Publications have been cited 2,258 times in 1,449 Documents Cited by ▼ Year ▼ Finite elements and fast iterative solvers: with applications in incompressible fluid dynamics. Zbl 1083.76001 Elman, Howard C.; Silvester, David J.; Wathen, Andrew J. 413 2005 Finite elements and fast iterative solvers. With applications in incompressible fluid dynamics. 2nd ed. Zbl 1304.76002 Elman, Howard C.; Silvester, David J.; Wathen, Andrew J. 311 2014 Algorithm 866: IFISS, a Matlab toolbox for modelling incompressible flow. Zbl 1365.65326 Elman, Howard C.; Ramage, Alison; Silvester, David J. 172 2007 Fast iterative solution of stabilised Stokes systems. II: Using general block preconditioners. Zbl 0810.76044 Silvester, David; Wathen, Andrew 165 1994 Performance and analysis of saddle point preconditioners for the discrete steady-state Navier-Stokes equations. Zbl 1143.76531 Elman, Howard C.; Silvester, David J.; Wathen, Andrew J. 105 2002 Minimum residual methods for augmented systems. Zbl 0914.65026 Fischer, B.; Ramage, A.; Silvester, D. J.; Wathen, A. J. 95 1998 Fast iterative solution of stabilised Stokes systems. I: Using simple diagonal preconditions. Zbl 0776.76024 Wathen, Andrew; Silvester, David 90 1993 Fast nonsymmetric iterations and preconditioning for Navier-Stokes equations. Zbl 0843.65080 Elman, Howard; Silvester, David 88 1996 Analysis of locally stabilized mixed finite element methods for the Stokes problem. Zbl 0738.76040 Kechkar, Nasserdine; Silvester, David 85 1992 IFISS: A computational laboratory for investigating incompressible flow problems. Zbl 1426.76645 Elman, Howard C.; Ramage, Alison; Silvester, David J. 75 2014 Efficient preconditioning of the linearized Navier-Stokes equations for incompressible flow. Zbl 0983.76051 Silvester, David; Elman, Howard; Kay, David; Wathen, Andrew 71 2001 Stabilised bilinear-constant velocity-pressure finite elements for the conjugate gradient solution of the Stokes problem. Zbl 0706.76075 Silvester, D. J.; Kechkar, N. 61 1990 A posteriori error estimation for stabilized mixed approximations of the Stokes equations. Zbl 0956.65100 Kay, David; Silvester, David 42 2000 Optimal low order finite element methods for incompressible flow. Zbl 0844.76059 Silvester, David 39 1994 Energy norm A posteriori error estimation for parametric operator equations. Zbl 1294.35199 Bespalov, Alex; Powell, Catherine E.; Silvester, David 25 2014 Least squares preconditioners for stabilized discretizations of the Navier-Stokes equations. Zbl 1166.65326 Elman, Howard; Howle, Victoria E.; Shadid, John; Silvester, David; Tuminaro, Ray 24 2007 Efficient solvers for a linear stochastic Galerkin mixed formulation of diffusion problems with random data. Zbl 1187.35298 Ernst, O. G.; Powell, C. E.; Silvester, D. J.; Ullmann, E. 24 2009 An efficient reduced basis solver for stochastic Galerkin matrix equations. Zbl 1381.35257 Powell, C. E.; Silvester, D.; Simoncini, V. 22 2017 Iterative methods for problems in computational fluid dynamics. Zbl 0957.76071 Elman, Howard C.; Silvester, David J.; Wathen, Andrew J. 21 1997 Optimal preconditioning for Raviart-Thomas mixed formulation of second-order elliptic problems. Zbl 1073.65128 Powell, Catherine Elizabeth; Silvester, David 21 2004 Adaptive time-stepping for incompressible flow. II: Navier-Stokes equations. Zbl 1410.76293 Kay, David A.; Gresho, Philip M.; Griffiths, David F.; Silvester, David J. 21 2010 Efficient adaptive stochastic Galerkin methods for parametric operator equations. Zbl 1416.65435 Bespalov, Alex; Silvester, David 18 2016 On parameter choice and iterative convergence for stabilised discretisations of advection-diffusion problems. Zbl 0977.76043 Fischer, B.; Ramage, A.; Silvester, D. J.; Wathen, A. J. 17 1999 The convergence rate of the minimal residual method for the Stokes problem. Zbl 0837.65026 Wathen, Andrew; Fischer, Bernd; Silvester, David 17 1995 Adaptive time-stepping for incompressible flow. I: Scalar advection-diffusion. Zbl 1167.76026 Gresho, Philip M.; Griffiths, David F.; Silvester, David J. 17 2008 Fast iterative solvers for buoyancy driven flow problems. Zbl 1369.76040 Elman, Howard; Mihajlović, Milan; Silvester, David 17 2011 Preconditioning steady-state Navier-Stokes equations with random data. Zbl 1256.35216 Powell, Catherine E.; Silvester, David J. 16 2012 An optimal iterative solver for symmetric indefinite systems stemming from mixed approximation. Zbl 1365.65085 Silvester, David J.; Simoncini, Valeria 15 2011 Stabilised vs. stable mixed methods for incompressible flow. Zbl 0940.76036 Norburn, Sean; Silvester, David 13 1998 A priori error analysis of stochastic Galerkin mixed approximations of elliptic PDEs with random data. Zbl 1253.35228 Bespalov, Alexei; Powell, Catherine E.; Silvester, David 11 2012 A black-box multigrid preconditioner for the biharmonic equation. Zbl 1053.65092 Silvester, David J.; Mihajlović, Milan D. 10 2004 Refined saddle-point preconditioners for discretized Stokes problems. Zbl 1408.76371 Pearson, John W.; Pestana, Jennifer; Silvester, David J. 9 2018 Iterative methods for stabilized mixed velocity-pressure finite elements. Zbl 0729.76643 Atanga, John; Silvester, David 9 1992 Implicit algorithms and their linearization for the transient incompressible Navier-Stokes equations. Zbl 0892.76060 Smith, Antony; Silvester, David 9 1997 A fully adaptive multilevel stochastic collocation strategy for solving elliptic PDEs with random data. Zbl 07507248 Lang, J.; Scheichl, R.; Silvester, D. 9 2020 The reliability of local error estimators for convection-diffusion equations. Zbl 0980.65116 Kay, David; Silvester, David 8 2001 Block preconditioners for the discrete incompressible Navier-Stokes equations. Zbl 1019.76023 Elman, Howard C.; Silvester, David J.; Wathen, Andrew J. 7 2002 T-IFISS: a toolbox for adaptive FEM computation. Zbl 1524.65004 Bespalov, Alex; Rocchi, Leonardo; Silvester, David 7 2021 A comparison of coupled and segregated interative solution techniques for incompressible swirling flow. Zbl 0863.76044 Hanby, R. F.; Silvester, D. J.; Chew, J. W. 6 1996 Fast and robust solvers for time-discretised incompressible Navier-Stokes equations. Zbl 0851.76042 Silvester, D. J.; Wathen, A. J. 6 1996 Robust stabilized Stokes approximation methods for highly stretched grids. Zbl 1328.76043 Liao, Qifeng; Silvester, David 6 2013 Robust preconditioning for stochastic Galerkin formulations of parameter-dependent nearly incompressible elasticity equations. Zbl 1428.65087 Khan, Arbaz; Powell, Catherine E.; Silvester, David J. 5 2019 A new preconditioner for the Oseen equations. Zbl 1268.76036 Wathen, A.; Loghin, D.; Kay, D.; Elman, H.; Silvester, D. 5 2003 Efficient solution of the steady-state Navier-Stokes equations using a multigrid preconditioned Newton-Krylov method. Zbl 1062.65049 Syamsudhuha; Silvester, David J. 5 2003 Robust a posteriori error estimation for parameter-dependent linear elasticity equations. Zbl 1456.65162 Khan, Arbaz; Bespalov, Alex; Powell, Catherine E.; Silvester, David J. 5 2021 Fast solvers for discretized Navier-Stokes problems using vector extrapolation. Zbl 1426.76253 Duminil, Sebastien; Sadok, Hassane; Silvester, David 4 2014 The convergence of iterative solution methods for symmetric and indefinite linear systems. Zbl 0902.65012 Wathen, A. J.; Fischer, B.; Silvester, D. J. 4 1998 A simple yet effective a posteriori estimator for classical mixed approximation of Stokes equations. Zbl 1426.76284 Liao, Qifeng; Silvester, David 4 2012 The specification and numerical solution of a benchmark swirling laminar flow problem. Zbl 0566.76025 Silvester, D. J.; Thatcher, R. W.; Duthie, J. C. 4 1984 Essential partial differential equations. Analytical and computational aspects. Zbl 1330.35001 Griffiths, David F.; Dold, John W.; Silvester, David J. 3 2015 An optimal solver for linear systems arising from stochastic FEM approximation of diffusion equations with random coefficients. Zbl 1398.65284 Silvester, David; Pranjal 3 2016 Collocation methods for exploring perturbations in linear stability analysis. Zbl 1398.65176 Elman, Howard C.; Silvester, David J. 3 2018 The effect of the stability of mixed finite element approximations on the accuracy and rate of convergence of solution when solving incompressible flow problems. Zbl 0603.76025 Silvester, D. J.; Thatcher, R. W. 3 1986 Fourier analysis of stabilized \(Q_1-Q_1\) mixed finite element approximation. Zbl 1008.76046 Norburn, Sean; Silvester, David 2 2001 Black-box preconditioning for mixed formulation of self-adjoint elliptic PDEs. Zbl 1045.65106 Powell, Catherine; Silvester, David 2 2003 A framework for the development of implicit solvers for incompressible flow problems. Zbl 1426.76308 Silvester, David J.; Bespalov, Alex; Powell, Catherine E. 2 2012 Error estimation and adaptivity for stochastic collocation finite elements. I: Single-level approximation. Zbl 07617456 Bespalov, Alex; Silvester, David J.; Xu, Feng 2 2022 Unstructured finite element method for the solution of the Boussinesq problem in three dimensions. Zbl 1455.65182 Smethurst, C. A.; Silvester, D. J.; Mihajlović, M. D. 2 2013 Robust a posteriori error estimation for mixed finite element approximation of linear poroelasticity. Zbl 1511.65124 Khan, Arbaz; Silvester, David J. 2 2021 Implicit solvers using stabilized mixed approximation. Zbl 1430.76121 Liao, Qifeng; Silvester, David 1 2013 Error estimation and adaptivity for stochastic collocation finite elements. I: Single-level approximation. Zbl 07617456 Bespalov, Alex; Silvester, David J.; Xu, Feng 2 2022 T-IFISS: a toolbox for adaptive FEM computation. Zbl 1524.65004 Bespalov, Alex; Rocchi, Leonardo; Silvester, David 7 2021 Robust a posteriori error estimation for parameter-dependent linear elasticity equations. Zbl 1456.65162 Khan, Arbaz; Bespalov, Alex; Powell, Catherine E.; Silvester, David J. 5 2021 Robust a posteriori error estimation for mixed finite element approximation of linear poroelasticity. Zbl 1511.65124 Khan, Arbaz; Silvester, David J. 2 2021 A fully adaptive multilevel stochastic collocation strategy for solving elliptic PDEs with random data. Zbl 07507248 Lang, J.; Scheichl, R.; Silvester, D. 9 2020 Robust preconditioning for stochastic Galerkin formulations of parameter-dependent nearly incompressible elasticity equations. Zbl 1428.65087 Khan, Arbaz; Powell, Catherine E.; Silvester, David J. 5 2019 Refined saddle-point preconditioners for discretized Stokes problems. Zbl 1408.76371 Pearson, John W.; Pestana, Jennifer; Silvester, David J. 9 2018 Collocation methods for exploring perturbations in linear stability analysis. Zbl 1398.65176 Elman, Howard C.; Silvester, David J. 3 2018 An efficient reduced basis solver for stochastic Galerkin matrix equations. Zbl 1381.35257 Powell, C. E.; Silvester, D.; Simoncini, V. 22 2017 Efficient adaptive stochastic Galerkin methods for parametric operator equations. Zbl 1416.65435 Bespalov, Alex; Silvester, David 18 2016 An optimal solver for linear systems arising from stochastic FEM approximation of diffusion equations with random coefficients. Zbl 1398.65284 Silvester, David; Pranjal 3 2016 Essential partial differential equations. Analytical and computational aspects. Zbl 1330.35001 Griffiths, David F.; Dold, John W.; Silvester, David J. 3 2015 Finite elements and fast iterative solvers. With applications in incompressible fluid dynamics. 2nd ed. Zbl 1304.76002 Elman, Howard C.; Silvester, David J.; Wathen, Andrew J. 311 2014 IFISS: A computational laboratory for investigating incompressible flow problems. Zbl 1426.76645 Elman, Howard C.; Ramage, Alison; Silvester, David J. 75 2014 Energy norm A posteriori error estimation for parametric operator equations. Zbl 1294.35199 Bespalov, Alex; Powell, Catherine E.; Silvester, David 25 2014 Fast solvers for discretized Navier-Stokes problems using vector extrapolation. Zbl 1426.76253 Duminil, Sebastien; Sadok, Hassane; Silvester, David 4 2014 Robust stabilized Stokes approximation methods for highly stretched grids. Zbl 1328.76043 Liao, Qifeng; Silvester, David 6 2013 Unstructured finite element method for the solution of the Boussinesq problem in three dimensions. Zbl 1455.65182 Smethurst, C. A.; Silvester, D. J.; Mihajlović, M. D. 2 2013 Implicit solvers using stabilized mixed approximation. Zbl 1430.76121 Liao, Qifeng; Silvester, David 1 2013 Preconditioning steady-state Navier-Stokes equations with random data. Zbl 1256.35216 Powell, Catherine E.; Silvester, David J. 16 2012 A priori error analysis of stochastic Galerkin mixed approximations of elliptic PDEs with random data. Zbl 1253.35228 Bespalov, Alexei; Powell, Catherine E.; Silvester, David 11 2012 A simple yet effective a posteriori estimator for classical mixed approximation of Stokes equations. Zbl 1426.76284 Liao, Qifeng; Silvester, David 4 2012 A framework for the development of implicit solvers for incompressible flow problems. Zbl 1426.76308 Silvester, David J.; Bespalov, Alex; Powell, Catherine E. 2 2012 Fast iterative solvers for buoyancy driven flow problems. Zbl 1369.76040 Elman, Howard; Mihajlović, Milan; Silvester, David 17 2011 An optimal iterative solver for symmetric indefinite systems stemming from mixed approximation. Zbl 1365.65085 Silvester, David J.; Simoncini, Valeria 15 2011 Adaptive time-stepping for incompressible flow. II: Navier-Stokes equations. Zbl 1410.76293 Kay, David A.; Gresho, Philip M.; Griffiths, David F.; Silvester, David J. 21 2010 Efficient solvers for a linear stochastic Galerkin mixed formulation of diffusion problems with random data. Zbl 1187.35298 Ernst, O. G.; Powell, C. E.; Silvester, D. J.; Ullmann, E. 24 2009 Adaptive time-stepping for incompressible flow. I: Scalar advection-diffusion. Zbl 1167.76026 Gresho, Philip M.; Griffiths, David F.; Silvester, David J. 17 2008 Algorithm 866: IFISS, a Matlab toolbox for modelling incompressible flow. Zbl 1365.65326 Elman, Howard C.; Ramage, Alison; Silvester, David J. 172 2007 Least squares preconditioners for stabilized discretizations of the Navier-Stokes equations. Zbl 1166.65326 Elman, Howard; Howle, Victoria E.; Shadid, John; Silvester, David; Tuminaro, Ray 24 2007 Finite elements and fast iterative solvers: with applications in incompressible fluid dynamics. Zbl 1083.76001 Elman, Howard C.; Silvester, David J.; Wathen, Andrew J. 413 2005 Optimal preconditioning for Raviart-Thomas mixed formulation of second-order elliptic problems. Zbl 1073.65128 Powell, Catherine Elizabeth; Silvester, David 21 2004 A black-box multigrid preconditioner for the biharmonic equation. Zbl 1053.65092 Silvester, David J.; Mihajlović, Milan D. 10 2004 A new preconditioner for the Oseen equations. Zbl 1268.76036 Wathen, A.; Loghin, D.; Kay, D.; Elman, H.; Silvester, D. 5 2003 Efficient solution of the steady-state Navier-Stokes equations using a multigrid preconditioned Newton-Krylov method. Zbl 1062.65049 Syamsudhuha; Silvester, David J. 5 2003 Black-box preconditioning for mixed formulation of self-adjoint elliptic PDEs. Zbl 1045.65106 Powell, Catherine; Silvester, David 2 2003 Performance and analysis of saddle point preconditioners for the discrete steady-state Navier-Stokes equations. Zbl 1143.76531 Elman, Howard C.; Silvester, David J.; Wathen, Andrew J. 105 2002 Block preconditioners for the discrete incompressible Navier-Stokes equations. Zbl 1019.76023 Elman, Howard C.; Silvester, David J.; Wathen, Andrew J. 7 2002 Efficient preconditioning of the linearized Navier-Stokes equations for incompressible flow. Zbl 0983.76051 Silvester, David; Elman, Howard; Kay, David; Wathen, Andrew 71 2001 The reliability of local error estimators for convection-diffusion equations. Zbl 0980.65116 Kay, David; Silvester, David 8 2001 Fourier analysis of stabilized \(Q_1-Q_1\) mixed finite element approximation. Zbl 1008.76046 Norburn, Sean; Silvester, David 2 2001 A posteriori error estimation for stabilized mixed approximations of the Stokes equations. Zbl 0956.65100 Kay, David; Silvester, David 42 2000 On parameter choice and iterative convergence for stabilised discretisations of advection-diffusion problems. Zbl 0977.76043 Fischer, B.; Ramage, A.; Silvester, D. J.; Wathen, A. J. 17 1999 Minimum residual methods for augmented systems. Zbl 0914.65026 Fischer, B.; Ramage, A.; Silvester, D. J.; Wathen, A. J. 95 1998 Stabilised vs. stable mixed methods for incompressible flow. Zbl 0940.76036 Norburn, Sean; Silvester, David 13 1998 The convergence of iterative solution methods for symmetric and indefinite linear systems. Zbl 0902.65012 Wathen, A. J.; Fischer, B.; Silvester, D. J. 4 1998 Iterative methods for problems in computational fluid dynamics. Zbl 0957.76071 Elman, Howard C.; Silvester, David J.; Wathen, Andrew J. 21 1997 Implicit algorithms and their linearization for the transient incompressible Navier-Stokes equations. Zbl 0892.76060 Smith, Antony; Silvester, David 9 1997 Fast nonsymmetric iterations and preconditioning for Navier-Stokes equations. Zbl 0843.65080 Elman, Howard; Silvester, David 88 1996 A comparison of coupled and segregated interative solution techniques for incompressible swirling flow. Zbl 0863.76044 Hanby, R. F.; Silvester, D. J.; Chew, J. W. 6 1996 Fast and robust solvers for time-discretised incompressible Navier-Stokes equations. Zbl 0851.76042 Silvester, D. J.; Wathen, A. J. 6 1996 The convergence rate of the minimal residual method for the Stokes problem. Zbl 0837.65026 Wathen, Andrew; Fischer, Bernd; Silvester, David 17 1995 Fast iterative solution of stabilised Stokes systems. II: Using general block preconditioners. Zbl 0810.76044 Silvester, David; Wathen, Andrew 165 1994 Optimal low order finite element methods for incompressible flow. Zbl 0844.76059 Silvester, David 39 1994 Fast iterative solution of stabilised Stokes systems. I: Using simple diagonal preconditions. Zbl 0776.76024 Wathen, Andrew; Silvester, David 90 1993 Analysis of locally stabilized mixed finite element methods for the Stokes problem. Zbl 0738.76040 Kechkar, Nasserdine; Silvester, David 85 1992 Iterative methods for stabilized mixed velocity-pressure finite elements. Zbl 0729.76643 Atanga, John; Silvester, David 9 1992 Stabilised bilinear-constant velocity-pressure finite elements for the conjugate gradient solution of the Stokes problem. Zbl 0706.76075 Silvester, D. J.; Kechkar, N. 61 1990 The effect of the stability of mixed finite element approximations on the accuracy and rate of convergence of solution when solving incompressible flow problems. Zbl 0603.76025 Silvester, D. J.; Thatcher, R. W. 3 1986 The specification and numerical solution of a benchmark swirling laminar flow problem. Zbl 0566.76025 Silvester, D. J.; Thatcher, R. W.; Duthie, J. C. 4 1984 all cited Publications top 5 cited Publications all top 5 Cited by 1,897 Authors 32 Wathen, Andrew John 30 Ma, Changfeng 29 Zhang, Guofeng 26 Elman, Howard C. 25 Liang, Zhaozheng 24 He, Yinnian 24 Stoll, Martin 22 Silvester, David J. 21 Olshanskii, Maxim A. 20 Simoncini, Valeria 19 Cao, Yang 19 Huang, Ting-Zhu 16 Bai, Zhongzhi 15 Axelsson, Axel Owe Holger 15 Badia, Santiago 15 Benzi, Michele 15 Ferronato, Massimiliano 15 Khojasteh Salkuyeh, Davod 14 Li, Jian 14 Pearson, John W. 14 Shang, Yueqiang 13 Fan, Hongtao 13 Huang, Na 13 Rebholz, Leo G. 12 Bespalov, Alexei 12 Pestana, Jennifer 12 Sousedík, Bedřich 11 Castelletto, Nicola 11 Quarteroni, Alfio M. 11 White, Joshua A. 10 John, Volker 10 Powell, Catherine Elizabeth 10 Szyld, Daniel B. 10 Wu, Shiliang 10 Wu, Yujiang 10 Yang, Aili 10 Zheng, Bing 9 Auricchio, Ferdinando 9 Benner, Peter 9 Cao, Zhihao 9 Greif, Chen 9 Liao, Qifeng 9 Miao, Shu-Xin 9 Zheng, Qingqing 9 Zhu, Xinyun 8 Barrenechea, Gabriel R. 8 Dou, Yan 8 Li, Cuixia 8 Li, Wen 8 Liu, Jun 8 MacLachlan, Scott P. 8 Mardal, Kent-Andre 8 Neytcheva, Maya G. 8 Niu, Qiang 8 Shadid, John N. 8 Vuik, Cornelis 8 Wang, Zengqi 7 Bergamaschi, Luca 7 Blasco, Jordi 7 Gambolati, Giuseppe 7 Gondzio, Jacek 7 Han, Danfu 7 Heil, Matthias 7 Janna, Carlo 7 Li, Changjun 7 Martín, Alberto F. 7 Peng, Xiaofei 7 Ruiz-Baier, Ricardo 7 Shao, Xinhui 7 Veneziani, Alessandro 6 Brenner, Susanne Cecelia 6 Chen, Zhangxin 6 Cui, Jingjing 6 Deparis, Simone 6 Eigel, Martin 6 Feng, Xinlong 6 Herzog, Roland 6 Howle, Victoria E. 6 Huang, Pengzhan 6 Huang, Zhengge 6 Kirby, Robert C. 6 Layton, William J. 6 Lee, Kookjin 6 Lee, Sungyun 6 Li, Kaitai 6 Li, Yuan 6 Liesen, Jörg 6 Manzoni, Andrea 6 Mihajlović, Milan D. 6 Palitta, Davide 6 Ramage, Alison 6 Reali, Alessandro 6 Reusken, Arnold 6 Shen, Shuqian 6 Šístek, Jakub 6 Sung, Li-Yeng 6 Tuminaro, Raymond S. 6 Wechsung, Florian 6 Wei, Yimin 6 Xu, Jinchao ...and 1,797 more Authors all top 5 Cited in 161 Serials 144 Computer Methods in Applied Mechanics and Engineering 110 SIAM Journal on Scientific Computing 90 Journal of Computational and Applied Mathematics 86 Computers & Mathematics with Applications 84 Applied Mathematics and Computation 83 Journal of Computational Physics 47 Applied Numerical Mathematics 47 Numerical Algorithms 44 Numerical Linear Algebra with Applications 37 Journal of Scientific Computing 25 Numerische Mathematik 24 Mathematics of Computation 23 BIT 23 SIAM Journal on Matrix Analysis and Applications 22 International Journal of Computer Mathematics 22 Computational and Applied Mathematics 20 International Journal for Numerical Methods in Fluids 20 SIAM Journal on Numerical Analysis 20 Linear Algebra and its Applications 18 Computers and Fluids 18 International Journal for Numerical Methods in Engineering 18 Applied Mathematics Letters 17 SIAM/ASA Journal on Uncertainty Quantification 16 Numerical Methods for Partial Differential Equations 15 East Asian Journal on Applied Mathematics 13 Advances in Computational Mathematics 11 Mathematics and Computers in Simulation 11 Computational Mechanics 11 Computational Optimization and Applications 10 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 9 Computational Geosciences 8 Journal of Fluid Mechanics 8 Calcolo 8 Computing 8 ETNA. Electronic Transactions on Numerical Analysis 8 Journal of Numerical Mathematics 7 Computer Physics Communications 7 Applications of Mathematics 7 Computing and Visualization in Science 5 Computational Methods in Applied Mathematics 5 Communications in Computational Physics 4 Linear and Multilinear Algebra 4 Japan Journal of Industrial and Applied Mathematics 4 SIAM Review 4 Physics of Fluids 4 Engineering Analysis with Boundary Elements 4 Abstract and Applied Analysis 4 Journal of Applied Mathematics 4 International Journal of Computational Methods 4 International Journal of Numerical Analysis and Modeling 4 Advances in Applied Mathematics and Mechanics 3 Journal of Engineering Mathematics 3 Mathematical Methods in the Applied Sciences 3 Journal of the Korean Mathematical Society 3 Numerical Functional Analysis and Optimization 3 Applied Mathematical Modelling 3 Applied Mathematics. Series B (English Edition) 3 Mathematical Problems in Engineering 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Journal of Applied Mathematics and Computing 3 Multiscale Modeling & Simulation 3 Boundary Value Problems 3 ISRN Applied Mathematics 3 Stochastic and Partial Differential Equations. Analysis and Computations 3 Communications on Applied Mathematics and Computation 2 Journal of Mathematical Analysis and Applications 2 Applied Mathematics and Mechanics. (English Edition) 2 Mitteilungen der Gesellschaft für Angewandte Mathematik und Mechanik 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Journal of Non-Newtonian Fluid Mechanics 2 Communications in Numerical Methods in Engineering 2 International Journal of Numerical Methods for Heat & Fluid Flow 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Optimization Methods & Software 2 Journal of Inequalities and Applications 2 Mathematical Modelling and Analysis 2 Archives of Computational Methods in Engineering 2 Mediterranean Journal of Mathematics 2 Acta Numerica 2 GAMM-Mitteilungen 2 Frontiers of Mathematics in China 2 Advances in Numerical Analysis 2 Journal of Applied Mathematics & Informatics 2 S\(\vec{\text{e}}\)MA Journal 2 AIMS Mathematics 2 SMAI Journal of Computational Mathematics 1 Archive for Rational Mechanics and Analysis 1 Communications in Mathematical Physics 1 International Journal for Numerical and Analytical Methods in Geomechanics 1 Inverse Problems 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 ACM Transactions on Mathematical Software 1 Journal of Optimization Theory and Applications 1 Kybernetika 1 Theoretical Computer Science 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Bulletin of the Korean Mathematical Society 1 Acta Applicandae Mathematicae ...and 61 more Serials all top 5 Cited in 34 Fields 1,236 Numerical analysis (65-XX) 641 Fluid mechanics (76-XX) 344 Partial differential equations (35-XX) 121 Mechanics of deformable solids (74-XX) 102 Linear and multilinear algebra; matrix theory (15-XX) 86 Calculus of variations and optimal control; optimization (49-XX) 47 Probability theory and stochastic processes (60-XX) 40 Operations research, mathematical programming (90-XX) 28 Biology and other natural sciences (92-XX) 20 Geophysics (86-XX) 18 Optics, electromagnetic theory (78-XX) 17 Computer science (68-XX) 15 Systems theory; control (93-XX) 14 Classical thermodynamics, heat transfer (80-XX) 8 Statistics (62-XX) 6 Ordinary differential equations (34-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Operator theory (47-XX) 4 Combinatorics (05-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Approximations and expansions (41-XX) 3 Information and communication theory, circuits (94-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 History and biography (01-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Quantum theory (81-XX) 1 Mathematics education (97-XX) Citations by Year