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 2 Additional arXiv Preprints 2 Contributions as Editor Software Indexed: 6 Packages Co-Authors: 58 Co-Authors with 72 Joint Publications 1,704 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, Carl T. 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 Numerische Mathematik 4 SIAM Journal on Numerical Analysis 3 ACM Transactions on Mathematical Software 2 Computers & Mathematics with Applications 2 Journal of Computational Physics 2 Mathematics of Computation 2 BIT 2 Journal of Scientific Computing 2 Numerical Mathematics and Scientific Computation 1 Computers and Fluids 1 International Journal for Numerical Methods in Engineering 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 58 Numerical analysis (65-XX) 43 Fluid mechanics (76-XX) 26 Partial differential equations (35-XX) 4 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 62 Publications have been cited 2,545 times in 1,631 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. 466 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. 378 2014 Algorithm 866: IFISS, a Matlab toolbox for modelling incompressible flow. Zbl 1365.65326 Elman, Howard C.; Ramage, Alison; Silvester, David J. 188 2007 Fast iterative solution of stabilised Stokes systems. II: Using general block preconditioners. Zbl 0810.76044 Silvester, David; Wathen, Andrew 180 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. 108 2002 Minimum residual methods for augmented systems. Zbl 0914.65026 Fischer, B.; Ramage, A.; Silvester, D. J.; Wathen, A. J. 99 1998 Fast iterative solution of stabilised Stokes systems. I: Using simple diagonal preconditions. Zbl 0776.76024 Wathen, Andrew; Silvester, David 97 1993 Analysis of locally stabilized mixed finite element methods for the Stokes problem. Zbl 0738.76040 Kechkar, Nasserdine; Silvester, David 94 1992 Fast nonsymmetric iterations and preconditioning for Navier-Stokes equations. Zbl 0843.65080 Elman, Howard; Silvester, David 93 1996 IFISS: A computational laboratory for investigating incompressible flow problems. Zbl 1426.76645 Elman, Howard C.; Ramage, Alison; Silvester, David J. 87 2014 Efficient preconditioning of the linearized Navier-Stokes equations for incompressible flow. Zbl 0983.76051 Silvester, David; Elman, Howard; Kay, David; Wathen, Andrew 78 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. 65 1990 A posteriori error estimation for stabilized mixed approximations of the Stokes equations. Zbl 0956.65100 Kay, David; Silvester, David 45 2000 Optimal low order finite element methods for incompressible flow. Zbl 0844.76059 Silvester, David 42 1994 Energy norm A posteriori error estimation for parametric operator equations. Zbl 1294.35199 Bespalov, Alex; Powell, Catherine E.; Silvester, David 33 2014 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. 28 2010 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 27 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. 27 2009 An efficient reduced basis solver for stochastic Galerkin matrix equations. Zbl 1381.35257 Powell, C. E.; Silvester, D.; Simoncini, V. 26 2017 Optimal preconditioning for Raviart-Thomas mixed formulation of second-order elliptic problems. Zbl 1073.65128 Powell, Catherine Elizabeth; Silvester, David 23 2004 Iterative methods for problems in computational fluid dynamics. Zbl 0957.76071 Elman, Howard C.; Silvester, David J.; Wathen, Andrew J. 21 1997 Fast iterative solvers for buoyancy driven flow problems. Zbl 1369.76040 Elman, Howard; Mihajlović, Milan; Silvester, David 21 2011 Adaptive time-stepping for incompressible flow. I: Scalar advection-diffusion. Zbl 1167.76026 Gresho, Philip M.; Griffiths, David F.; Silvester, David J. 20 2008 Preconditioning steady-state Navier-Stokes equations with random data. Zbl 1256.35216 Powell, Catherine E.; Silvester, David J. 20 2012 The convergence rate of the minimal residual method for the Stokes problem. Zbl 0837.65026 Wathen, Andrew; Fischer, Bernd; Silvester, David 18 1995 Efficient adaptive stochastic Galerkin methods for parametric operator equations. Zbl 1416.65435 Bespalov, Alex; Silvester, David 18 2016 Stabilised vs. stable mixed methods for incompressible flow. Zbl 0940.76036 Norburn, Sean; Silvester, David 17 1998 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. 16 1999 An optimal iterative solver for symmetric indefinite systems stemming from mixed approximation. Zbl 1365.65085 Silvester, David J.; Simoncini, Valeria 16 2011 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 12 2012 Implicit algorithms and their linearization for the transient incompressible Navier-Stokes equations. Zbl 0892.76060 Smith, Antony; Silvester, David 11 1997 A black-box multigrid preconditioner for the biharmonic equation. Zbl 1053.65092 Silvester, David J.; Mihajlović, Milan D. 10 2004 A fully adaptive multilevel stochastic collocation strategy for solving elliptic PDEs with random data. Zbl 07507248 Lang, J.; Scheichl, R.; Silvester, D. 10 2020 Refined saddle-point preconditioners for discretized Stokes problems. Zbl 1408.76371 Pearson, John W.; Pestana, Jennifer; Silvester, David J. 10 2018 The reliability of local error estimators for convection-diffusion equations. Zbl 0980.65116 Kay, David; Silvester, David 9 2001 T-IFISS: a toolbox for adaptive FEM computation. Zbl 1524.65004 Bespalov, Alex; Rocchi, Leonardo; Silvester, David 9 2021 Iterative methods for stabilized mixed velocity-pressure finite elements. Zbl 0729.76643 Atanga, John; Silvester, David 8 1992 Block preconditioners for the discrete incompressible Navier-Stokes equations. Zbl 1019.76023 Elman, Howard C.; Silvester, David J.; Wathen, Andrew J. 7 2002 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. 7 1996 Efficient solution of the steady-state Navier-Stokes equations using a multigrid preconditioned Newton-Krylov method. Zbl 1062.65049 Syamsudhuha; Silvester, David J. 6 2003 Fast and robust solvers for time-discretised incompressible Navier-Stokes equations. Zbl 0851.76042 Silvester, D. J.; Wathen, A. J. 6 1996 Robust preconditioning for stochastic Galerkin formulations of parameter-dependent nearly incompressible elasticity equations. Zbl 1428.65087 Khan, Arbaz; Powell, Catherine E.; Silvester, David J. 6 2019 Robust stabilized Stokes approximation methods for highly stretched grids. Zbl 1328.76043 Liao, Qifeng; Silvester, David 6 2013 Fast solvers for discretized Navier-Stokes problems using vector extrapolation. Zbl 1426.76253 Duminil, Sebastien; Sadok, Hassane; Silvester, David 6 2014 A new preconditioner for the Oseen equations. Zbl 1268.76036 Wathen, A.; Loghin, D.; Kay, D.; Elman, H.; Silvester, D. 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 Robust a posteriori error estimation for mixed finite element approximation of linear poroelasticity. Zbl 1511.65124 Khan, Arbaz; Silvester, David J. 5 2021 A simple yet effective a posteriori estimator for classical mixed approximation of Stokes equations. Zbl 1426.76284 Liao, Qifeng; Silvester, David 5 2012 Robust a posteriori error estimators for mixed approximation of nearly incompressible elasticity. Zbl 1548.74078 Khan, Arbaz; Powell, Catherine E.; Silvester, David J. 5 2019 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 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 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 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. 3 2013 Collocation methods for exploring perturbations in linear stability analysis. Zbl 1398.65176 Elman, Howard C.; Silvester, David J. 3 2018 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 Black-box preconditioning for mixed formulation of self-adjoint elliptic PDEs. Zbl 1045.65106 Powell, Catherine; Silvester, David 2 2003 Fourier analysis of stabilized \(Q_1-Q_1\) mixed finite element approximation. Zbl 1008.76046 Norburn, Sean; Silvester, David 2 2001 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 IFISS3D: a computational laboratory for investigating finite element approximation in three dimensions. Zbl 07910045 Papanikos, Georgios; Powell, Catherine E.; Silvester, David J. 2 2023 Implicit solvers using stabilized mixed approximation. Zbl 1430.76121 Liao, Qifeng; Silvester, David 1 2013 IFISS3D: a computational laboratory for investigating finite element approximation in three dimensions. Zbl 07910045 Papanikos, Georgios; Powell, Catherine E.; Silvester, David J. 2 2023 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 9 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. 5 2021 A fully adaptive multilevel stochastic collocation strategy for solving elliptic PDEs with random data. Zbl 07507248 Lang, J.; Scheichl, R.; Silvester, D. 10 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. 6 2019 Robust a posteriori error estimators for mixed approximation of nearly incompressible elasticity. Zbl 1548.74078 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. 10 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. 26 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. 378 2014 IFISS: A computational laboratory for investigating incompressible flow problems. Zbl 1426.76645 Elman, Howard C.; Ramage, Alison; Silvester, David J. 87 2014 Energy norm A posteriori error estimation for parametric operator equations. Zbl 1294.35199 Bespalov, Alex; Powell, Catherine E.; Silvester, David 33 2014 Fast solvers for discretized Navier-Stokes problems using vector extrapolation. Zbl 1426.76253 Duminil, Sebastien; Sadok, Hassane; Silvester, David 6 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. 3 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. 20 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 12 2012 A simple yet effective a posteriori estimator for classical mixed approximation of Stokes equations. Zbl 1426.76284 Liao, Qifeng; Silvester, David 5 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 21 2011 An optimal iterative solver for symmetric indefinite systems stemming from mixed approximation. Zbl 1365.65085 Silvester, David J.; Simoncini, Valeria 16 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. 28 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. 27 2009 Adaptive time-stepping for incompressible flow. I: Scalar advection-diffusion. Zbl 1167.76026 Gresho, Philip M.; Griffiths, David F.; Silvester, David J. 20 2008 Algorithm 866: IFISS, a Matlab toolbox for modelling incompressible flow. Zbl 1365.65326 Elman, Howard C.; Ramage, Alison; Silvester, David J. 188 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 27 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. 466 2005 Optimal preconditioning for Raviart-Thomas mixed formulation of second-order elliptic problems. Zbl 1073.65128 Powell, Catherine Elizabeth; Silvester, David 23 2004 A black-box multigrid preconditioner for the biharmonic equation. Zbl 1053.65092 Silvester, David J.; Mihajlović, Milan D. 10 2004 Efficient solution of the steady-state Navier-Stokes equations using a multigrid preconditioned Newton-Krylov method. Zbl 1062.65049 Syamsudhuha; Silvester, David J. 6 2003 A new preconditioner for the Oseen equations. Zbl 1268.76036 Wathen, A.; Loghin, D.; Kay, D.; Elman, H.; Silvester, D. 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. 108 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 78 2001 The reliability of local error estimators for convection-diffusion equations. Zbl 0980.65116 Kay, David; Silvester, David 9 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 45 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. 16 1999 Minimum residual methods for augmented systems. Zbl 0914.65026 Fischer, B.; Ramage, A.; Silvester, D. J.; Wathen, A. J. 99 1998 Stabilised vs. stable mixed methods for incompressible flow. Zbl 0940.76036 Norburn, Sean; Silvester, David 17 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 11 1997 Fast nonsymmetric iterations and preconditioning for Navier-Stokes equations. Zbl 0843.65080 Elman, Howard; Silvester, David 93 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. 7 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 18 1995 Fast iterative solution of stabilised Stokes systems. II: Using general block preconditioners. Zbl 0810.76044 Silvester, David; Wathen, Andrew 180 1994 Optimal low order finite element methods for incompressible flow. Zbl 0844.76059 Silvester, David 42 1994 Fast iterative solution of stabilised Stokes systems. I: Using simple diagonal preconditions. Zbl 0776.76024 Wathen, Andrew; Silvester, David 97 1993 Analysis of locally stabilized mixed finite element methods for the Stokes problem. Zbl 0738.76040 Kechkar, Nasserdine; Silvester, David 94 1992 Iterative methods for stabilized mixed velocity-pressure finite elements. Zbl 0729.76643 Atanga, John; Silvester, David 8 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. 65 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 2,152 Authors 33 Wathen, Andrew John 32 Zhang, Guofeng 31 Ma, Changfeng 28 Liang, Zhaozheng 27 He, Yinnian 26 Elman, Howard C. 26 Silvester, David J. 25 Stoll, Martin 23 Olshanskii, Maxim A. 23 Simoncini, Valeria 19 Benzi, Michele 19 Cao, Yang 19 Huang, Ting-Zhu 19 Pearson, John W. 17 Badia, Santiago 17 Farrell, Patrick E. 16 Bai, Zhongzhi 16 Khojasteh Salkuyeh, Davod 15 Axelsson, Axel Owe Holger 15 Ferronato, Massimiliano 14 Huang, Na 14 Li, Jian 14 Shang, Yueqiang 13 Fan, Hongtao 13 Pestana, Jennifer 13 Rebholz, Leo Gregory 13 Vuik, Cornelis 12 Bespalov, Alexei 12 Castelletto, Nicola 12 Liao, Qifeng 12 MacLachlan, Scott P. 12 Powell, Catherine Elizabeth 12 Sousedík, Bedřich 12 White, Joshua A. 11 Quarteroni, Alfio M. 11 Szyld, Daniel B. 11 Wu, Yujiang 11 Yang, Aili 10 John, Volker 10 Wu, Shiliang 10 Zheng, Bing 10 Zheng, Qingqing 9 Auricchio, Ferdinando 9 Benner, Peter 9 Bergamaschi, Luca 9 Cao, Zhihao 9 Dou, Yan 9 Greif, Chen 9 Lin, Xuelei 9 Miao, Shu-Xin 9 Rüde, Ulrich 9 Shadid, John N. 9 Tuminaro, Raymond S. 9 Zhu, Xinyun 8 Barrenechea, Gabriel R. 8 Feng, Xinlong 8 Gondzio, Jacek 8 Heil, Matthias 8 Li, Cuixia 8 Li, Wen 8 Liesen, Jörg 8 Liu, Jun 8 Mardal, Kent-Andre 8 Neytcheva, Maya G. 8 Niu, Qiang 8 Ruiz-Baier, Ricardo 8 Wang, Zengqi 7 Blasco, Jordi 7 Chen, Zhangxin 7 Cui, Jingjing 7 Eigel, Martin 7 Gambolati, Giuseppe 7 Han, Danfu 7 He, Yunhui 7 Howle, Victoria E. 7 Huang, Zhengge 7 Janna, Carlo 7 Li, Changjun 7 Martín, Alberto F. 7 Mihajlović, Milan D. 7 Palitta, Davide 7 Peng, Xiaofei 7 Reali, Alessandro 7 Reusken, Arnold 7 Shao, Xinhui 7 Veneziani, Alessandro 7 Zulehner, Walter 6 Aulisa, Eugenio 6 Brenner, Susanne Cecelia 6 Codina, Ramon 6 Deparis, Simone 6 Gatica, Gabriel N. 6 Herzog, Roland 6 Hon, Sean Y. 6 Huang, Pengzhan 6 Ke, Guoyi 6 Kirby, Robert C. 6 Layton, William J. 6 Lee, Kookjin 6 Lee, Sungyun ...and 2,052 more Authors all top 5 Cited in 171 Serials 155 Computer Methods in Applied Mechanics and Engineering 117 SIAM Journal on Scientific Computing 101 Journal of Computational and Applied Mathematics 94 Computers & Mathematics with Applications 89 Journal of Computational Physics 85 Applied Mathematics and Computation 81 Numerical Linear Algebra with Applications 52 Applied Numerical Mathematics 50 Numerical Algorithms 45 Journal of Scientific Computing 35 International Journal for Numerical Methods in Fluids 28 International Journal for Numerical Methods in Engineering 26 Numerische Mathematik 25 SIAM Journal on Matrix Analysis and Applications 24 Mathematics of Computation 23 BIT 23 Computational and Applied Mathematics 22 International Journal of Computer Mathematics 21 Linear Algebra and its Applications 20 SIAM Journal on Numerical Analysis 19 Computers and Fluids 19 Applied Mathematics Letters 18 Numerical Methods for Partial Differential Equations 18 SIAM/ASA Journal on Uncertainty Quantification 16 Advances in Computational Mathematics 15 East Asian Journal on Applied Mathematics 14 Mathematics and Computers in Simulation 12 Computational Mechanics 11 Computational Optimization and Applications 11 ETNA. Electronic Transactions on Numerical Analysis 11 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 10 Computer Physics Communications 10 Calcolo 9 Journal of Fluid Mechanics 9 Computational Geosciences 8 Computing 8 Applications of Mathematics 8 Computing and Visualization in Science 8 Journal of Numerical Mathematics 7 Mathematical Methods in the Applied Sciences 6 Engineering Analysis with Boundary Elements 6 Communications in Computational Physics 5 Japan Journal of Industrial and Applied Mathematics 5 Computational Methods in Applied Mathematics 4 Linear and Multilinear Algebra 4 ACM Transactions on Mathematical Software 4 SIAM Review 4 Physics of Fluids 4 Abstract and Applied Analysis 4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 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 4 Communications on Applied Mathematics and Computation 3 Journal of Engineering Mathematics 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 Journal of Inequalities and Applications 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 2 Journal of Mathematical Analysis and Applications 2 Applied Mathematics and Mechanics. (English Edition) 2 Mitteilungen der Gesellschaft für Angewandte Mathematik und Mechanik 2 Physica D 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Journal of Non-Newtonian Fluid Mechanics 2 Mathematical Programming. Series A. Series B 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 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 Communications in Mathematical Research 2 Journal of Applied Mathematics & Informatics 2 S\(\vec{\text{e}}\)MA Journal 2 Journal of Theoretical Biology 2 Bollettino dell’Unione Matematica Italiana 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 Journal of Optimization Theory and Applications ...and 71 more Serials all top 5 Cited in 36 Fields 1,398 Numerical analysis (65-XX) 729 Fluid mechanics (76-XX) 378 Partial differential equations (35-XX) 134 Mechanics of deformable solids (74-XX) 119 Linear and multilinear algebra; matrix theory (15-XX) 102 Calculus of variations and optimal control; optimization (49-XX) 52 Probability theory and stochastic processes (60-XX) 47 Operations research, mathematical programming (90-XX) 32 Biology and other natural sciences (92-XX) 19 Geophysics (86-XX) 18 Computer science (68-XX) 18 Optics, electromagnetic theory (78-XX) 15 Statistics (62-XX) 15 Classical thermodynamics, heat transfer (80-XX) 15 Systems theory; control (93-XX) 9 Operator theory (47-XX) 7 Ordinary differential equations (34-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Combinatorics (05-XX) 4 Approximations and expansions (41-XX) 4 Information and communication theory, circuits (94-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 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Quantum theory (81-XX) 1 Mathematics education (97-XX) Citations by Year