Edit Profile Vandewalle, Stefan G. Compute Distance To: Compute Author ID: vandewalle.stefan-g Published as: Vandewalle, S.; Vandewalle, Stefan; Vandewalle, Stefan G. External Links: MGP · Wikidata · ORCID Documents Indexed: 95 Publications since 1991, including 5 Books all top 5 Co-Authors 1 single-authored 8 Dierckx, Paul 8 Huybrechs, Daan 8 Speleers, Hendrik 7 Rosseel, Eveline 6 De Gersem, Herbert 6 Janssen, Jan 6 Piessens, Robert 5 Hameyer, Kay 5 van Lent, Jan 4 Boonen, Tim J. 4 Goovaerts, Marc J. 4 Horton, Graham 4 Huang, Chengming 4 Van Daele, Marnix 4 Zhang, Chengjian 3 Meyers, Johan 3 Nuyens, Dirk 3 Robbe, Pieterjan 3 Simoens, Jo 3 Vandereycken, Bart 3 Voitovich, Tatiana V. 2 Corveleyn, Samuel 2 Deliége, Geoffrey 2 Diehl, Moritz Mathias 2 Gander, Martin Jakob 2 Lahaye, Domenico 2 Michiels, Wim 2 Niţă, Cristina 2 Sloan, David M. 2 Süli, Endre E. 2 Vanbiervliet, Joris 2 Wuytack, Luc 1 Abbeloos, Dirk 1 Absil, Pierre-Antoine 1 Badreddine, Hassan 1 Deconinck, Herman 1 Falgout, Robert D. 1 Friedhoff, Stephanie 1 Hinze, Michael 1 Holst, Michael J. 1 Hu, Min 1 Jackson, Ken 1 Kimpe, Dries 1 Kolev, Tzanio V. 1 Lani, Andrea 1 Løvbak, Emil 1 Lust, Kurt 1 MacLachlan, Scott P. 1 Napov, Artem 1 Nestler, Britta 1 Nicolaï, Bart M. 1 Notay, Yvan 1 Poedts, Stefaan 1 Quintino, Tiago 1 Samaey, Giovanni 1 Scheerlinck, Nico 1 Schroder, Jacob B. 1 Seynaeve, Bert 1 Smets, Ilse Y. 1 Van Barel, Andreas 1 Van de Velde, Eric F. 1 Van Den Abeele, Koen 1 Van Driessche, Rafael 1 Van Impe, Jan F. M. 1 Vandekerckhove, Steven 1 Vandewoestyne, Bart 1 Vanherpe, Liesbeth 1 Verdickt, L. B. 1 Verheyden, Koen 1 Wang, Haiyong 1 Wendler, Frank 1 Worley, Patrick H. 1 Zubik-Kowal, Barbara all top 5 Serials 16 SIAM Journal on Scientific Computing 15 Journal of Computational and Applied Mathematics 6 SIAM Journal on Numerical Analysis 3 IMA Journal of Numerical Analysis 3 Journal of Computational Physics 3 Computer Aided Geometric Design 3 Computing and Visualization in Science 2 Mathematics of Computation 2 Applied Numerical Mathematics 2 Numerical Linear Algebra with Applications 2 Advances in Computational Mathematics 1 Computers and Fluids 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Computing 1 Fuzzy Sets and Systems 1 Mathematics and Computers in Simulation 1 Numerische Mathematik 1 SIAM Journal on Scientific and Statistical Computing 1 COMPEL 1 Numerical Methods for Partial Differential Equations 1 SIAM Journal on Matrix Analysis and Applications 1 International Journal of High Speed Computing 1 Numerical Algorithms 1 SIAM Journal on Optimization 1 Annals of Numerical Mathematics 1 Engineering Analysis with Boundary Elements 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Mathematical and Computer Modelling of Dynamical Systems 1 Frontiers of Mathematics in China 1 Communications in Computational Physics 1 Numerical Mathematics: Theory, Methods and Applications 1 SIAM/ASA Journal on Uncertainty Quantification all top 5 Fields 88 Numerical analysis (65-XX) 45 Partial differential equations (35-XX) 11 Optics, electromagnetic theory (78-XX) 8 General and overarching topics; collections (00-XX) 8 Ordinary differential equations (34-XX) 7 Probability theory and stochastic processes (60-XX) 6 Approximations and expansions (41-XX) 6 Fluid mechanics (76-XX) 4 Integral equations (45-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Operations research, mathematical programming (90-XX) 3 Systems theory; control (93-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Mechanics of deformable solids (74-XX) 1 Special functions (33-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 74 Publications have been cited 1,072 times in 728 Documents Cited by ▼ Year ▼ On the evaluation of highly oscillatory integrals by analytic continuation. Zbl 1123.65017Huybrechs, Daan; Vandewalle, Stefan 103 2006 Analysis of the parareal time-parallel time-integration method. Zbl 1141.65064Gander, Martin J.; Vandewalle, Stefan 96 2007 A space-time multigrid method for parabolic partial differential equations. Zbl 0828.65105Horton, G.; Vandewalle, S. 56 1995 A sparse discretization for integral equation formulations of high frequency scattering problems. Zbl 1154.65376Huybrechs, Daan; Vandewalle, Stefan 50 2007 Stability analysis of Runge-Kutta methods for nonlinear Volterra delay-integro-differential equations. Zbl 1057.65104Zhang, Chengjian; Vandewalle, Stefan 49 2004 General linear methods for Volterra integro-differential equations with memory. Zbl 1104.65133Zhang, Chengjian; Vandewalle, Stefan 44 2006 An analysis of delay-dependent stability for ordinary and partial differential equations with fixed and distributed delays. Zbl 1064.65078Huang, Chengming; Vandewalle, Stefan 43 2004 Parallel multigrid waveform relaxation for parabolic problems. Zbl 0816.65057Vandewalle, Stefan 36 1993 Stability analysis of Volterra delay-integro-differential equations and their backward differentiation time discretization. Zbl 1047.65117Zhang, Chengjian; Vandewalle, Stefan 33 2004 Waveform relaxation for functional-differential equations. Zbl 0945.65107Zubik-Kowal, Barbara; Vandewalle, Stefan 31 1999 Numerical solution of partial differential equations with Powell-Sabin splines. Zbl 1086.65114Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan 26 2006 A Riemannian optimization approach for computing low-rank solutions of Lyapunov equations. Zbl 1221.65108Vandereycken, Bart; Vandewalle, Stefan 24 2010 Stability criteria for exact and discrete solutions of neutral multidelay-integro-differential equations. Zbl 1154.65101Zhang, Chengjian; Vandewalle, Stefan 23 2008 Explicit barycentric weights for polynomial interpolation in the roots or extrema of classical orthogonal polynomials. Zbl 1297.41001Wang, Haiyong; Huybrechs, Daan; Vandewalle, Stefan 22 2014 Quasi-hierarchical Powell-Sabin B-splines. Zbl 1205.65056Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan 19 2009 Stability of Runge-Kutta-Pouzet methods for Volterra integro-differential equations with delays. Zbl 1396.65112Huang, Chengming; Vandewalle, Stefan 19 2009 Discretized stability and error growth of the nonautonomous pantograph equation. Zbl 1080.65068Huang, Chengming; Vandewalle, Stefan 19 2005 On SOR waveform relaxation methods. Zbl 0898.65038Janssen, Jan; Vandewalle, Stefan 18 1997 Iterative solvers for the stochastic finite element method. Zbl 1253.65007Rosseel, Eveline; Vandewalle, Stefan 17 2010 Multigrid waveform relaxation on spatial finite element meshes: The continuous-time case. Zbl 0853.65094Janssen, Jan; Vandewalle, Stefan 17 1996 An algorithm with polylog parallel complexity for solving parabolic partial differential equations. Zbl 0827.65094Horton, G.; Vandewalle, S.; Worley, P. 17 1995 Space-time concurrent multigrid waveform relaxation. Zbl 0829.65115Vandewalle, Stefan G.; Van de Velde, Eric F. 16 1994 Efficient parallel algorithms for solving initial-boundary value and time-periodic parabolic partial differential equations. Zbl 0766.65076Vandewalle, Stefan; Piessens, Robert 16 1992 Local Fourier analysis of multigrid for the curl-curl equation. Zbl 1168.65422Boonen, Tim; Van Lent, Jan; Vandewalle, Stefan 15 2008 The construction of cubature rules for multivariate highly oscillatory integrals. Zbl 1128.65024Huybrechs, Daan; Vandewalle, Stefan 15 2007 Fourier mode analysis of the multigrid waveform relaxation and time- parallel multigrid methods. Zbl 0826.65087Vandewalle, S.; Horton, G. 15 1995 Numerical experiments with nonlinear multigrid waveform relaxation on a parallel processor. Zbl 0739.65083Vandewalle, Stefan; Piessens, Robert 15 1991 Multigrid methods for implicit Runge-Kutta and boundary value method discretizations of parabolic PDEs. Zbl 1109.65081van Lent, Jan; Vandewalle, Stefan 12 2005 A Riemannian geometry with complete geodesics for the set of positive semidefinite matrices of fixed rank. Zbl 1271.53039Vandereycken, Bart; Absil, P.-A.; Vandewalle, Stefan 11 2013 A nonsmooth optimisation approach for the stabilisation of time-delay systems. Zbl 1146.65056Vanbiervliet, Joris; Verheyden, Koen; Michiels, Wim; Vandewalle, Stefan 11 2008 On dynamic iteration methods for solving time-periodic differential equations. Zbl 0768.65061Vandewalle, Stefan; Piessens, Robert 11 1993 Unconditionally stable difference methods for delay partial differential equations. Zbl 1272.65066Huang, Chengming; Vandewalle, Stefan 10 2012 A note on wave number dependence of wavelet matrix compression for integral equations with oscillatory kernel. Zbl 1099.78018Huybrechs, Daan; Simoens, Jo; Vandewalle, Stefan 10 2004 Algebraic multigrid for stationary and time-dependent partial differential equations with stochastic coefficients. Zbl 1212.65019Rosseel, E.; Boonen, T.; Vandewalle, S. 9 2008 Fourier mode analysis of multigrid methods for partial differential equations with random coefficients. Zbl 1120.65309Seynaeve, Bert; Rosseel, Eveline; Nicolaï, Bart; Vandewalle, Stefan 9 2007 Multigrid waveform relaxation on spatial finite element meshes: The discrete-time case. Zbl 0844.65070Janssen, Jan; Vandewalle, Stefan 8 1996 Weight control for modelling with NURPS surfaces. Zbl 1171.65353Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan 7 2007 A two-dimensional wavelet-packet transform for matrix compression of integral equations with highly oscillatory kernel. Zbl 1101.65113Huybrechs, Daan; Vandewalle, Stefan 7 2006 Composite quadrature formulae for the approximation of wavelet coefficients of piecewise smooth and singular functions. Zbl 1069.65152Huybrechs, Daan; Vandewalle, Stefan 7 2005 A multigrid solver for phase field simulation of microstructure evolution. Zbl 1191.82035Vanherpe, Liesbeth; Wendler, Frank; Nestler, Britta; Vandewalle, Stefan 6 2010 Iterative solvers for a spectral Galerkin approach to elliptic partial differential equations with fuzzy coefficients. Zbl 1282.35403Corveleyn, Samuel; Rosseel, Eveline; Vandewalle, Stefan 5 2013 Nested multigrid methods for time-periodic, parabolic optimal control problems. Zbl 1241.65061Abbeloos, Dirk; Diehl, Moritz; Hinze, Michael; Vandewalle, Stefan 5 2011 On the local approximation power of quasi-hierarchical Powell-Sabin splines. Zbl 1274.65020Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan 5 2010 Powell-Sabin splines with boundary conditions for polygonal and non-polygonal domains. Zbl 1117.65026Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan 5 2007 Local subdivision of Powell–Sabin splines. Zbl 1093.65011Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan 5 2006 The COOLFluiD framework: Design solutions for high performance object oriented scientific computing software. Zbl 1129.65328Lani, Andrea; Quintino, Tiago; Kimpe, Dries; Deconinck, Herman; Vandewalle, Stefan; Poedts, Stefaan 5 2005 Multigrid waveform relaxation for anisotropic partial differential equations. Zbl 1012.65099van Lent, Jan; Vandewalle, Stefan 5 2002 Schwarz methods: To symmetrize or not to symmetrize. Zbl 0880.65090Holst, Michael; Vandewalle, Stefan 5 1997 On the efficiency of gradient based optimization algorithms for DNS-based optimal control in a turbulent channel flow. Zbl 1390.76061Nita, C.; Vandewalle, S.; Meyers, J. 4 2016 Sequential quadratic programming (SQP) for optimal control in direct numerical simulation of turbulent flow. Zbl 1349.90663Badreddine, Hassan; Vandewalle, Stefan; Meyers, Johan 4 2014 The smoothed spectral abscissa for robust stability optimization. Zbl 1185.93110Vanbiervliet, Joris; Vandereycken, Bart; Michiels, Wim; Vandewalle, Stefan; Diehl, Moritz 4 2009 An efficient implementation of boundary element methods for computationally expensive Green’s functions. Zbl 1244.78023Huybrechs, Daan; Vandewalle, Stefan 4 2008 Optimized overlapping Schwarz methods for parabolic PDEs with time-delay. Zbl 1066.65099Vandewalle, Stefan; Gander, Martin J. 4 2005 A stabilized lifting construction of wavelets on irregular meshes on the interval. Zbl 1031.42036Simoens, Jo; Vandewalle, Stefan 4 2003 Multigrid methods with space-time concurrency. Zbl 1448.65146Falgout, R. D.; Friedhoff, S.; Kolev, Tz. V.; MacLachlan, S. P.; Schroder, J. B.; Vandewalle, S. 3 2017 A multi-index quasi-Monte Carlo algorithm for lognormal diffusion problems. Zbl 1386.60225Robbe, Pieterjan; Nuyens, Dirk; Vandewalle, Stefan 3 2017 On algebraic multigrid methods derived from partition of unity nodal prolongators. Zbl 1174.65541Boonen, Tim; Deliége, Geoffrey; Vandewalle, Stefan 3 2006 Waveform relaxation with fast direct methods as preconditioner. Zbl 0969.65085Simoens, Jo; Vandewalle, Stefan 3 2000 Robust optimization of PDEs with random coefficients using a multilevel Monte Carlo method. Zbl 1421.35396Van Barel, Andreas; Vandewalle, Stefan 2 2019 A dimension-adaptive multi-index Monte Carlo method applied to a model of a heat exchanger. Zbl 1407.80013Robbe, Pieterjan; Nuyens, Dirk; Vandewalle, Stefan 2 2018 Mimetic discretization and higher order time integration for acoustic, electromagnetic and elastodynamic wave propagation. Zbl 1291.65274Vandekerckhove, Steven; Vandewoestyne, Bart; De Gersem, Herbert; Van Den Abeele, Koen; Vandewalle, Stefan 2 2014 Nonlinear stochastic Galerkin and collocation methods: application to a ferromagnetic cylinder rotating at high speed. Zbl 1364.74099Rosseel, Eveline; De Gersem, Herbert; Vandewalle, Stefan 2 2010 On the \(L_p\)-stability of quasi-hierarchical Powell-Sabin B-splines. Zbl 1154.41006Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan 2 2008 Exact integration formulas for the finite volume element method on simplicial meshes. Zbl 1129.65069Voitovich, T. V.; Vandewalle, S. 2 2007 An algebraic multilevel preconditioner for field-circuit coupled problems. Zbl 1061.78014Lahaye, Domenico; Vandewalle, Stefan; Hameyer, Kay 2 2004 Multigrid waveform relaxation for solving parabolic partial differential equations. Zbl 0737.65079Vandewalle, Stefan; Piessens, Robert 2 1991 Newton-multigrid for biological reaction-diffusion problems with random coefficients. Zbl 1265.65008Rosseel, Eveline; Scheerlinck, Nico; Vandewalle, Stefan 1 2012 Multigrid methods with Powell-Sabin splines. Zbl 1158.65084Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan 1 2008 Role of the diffusion coefficient in one-dimensional convection-diffusion models for sedimentation/thickening in secondary settling tanks. Zbl 1128.76064Verdickt, L. B.; Voitovich, T. V.; Vandewalle, S.; Lust, K.; Smets, I. Y.; van Impe, J. F. 1 2006 Krylov subspace methods for harmonic balanced finite element methods. Zbl 1018.65046De Gersem, H.; Vandewalle, Stefan; Hameyer, Kay 1 2001 Comparison of quasi minimal residual and bi-conjugate gradient iterative methods to solve complex symmetric systems arising from time-harmonic magnetic simulations. Zbl 0946.78507De Gersem, H.; Lahaye, D.; Vandewalle, S.; Hameyer, K. 1 1999 Remarks on the optimal convolution kernel for CSOR waveform relaxation. Zbl 0889.65069Hu, Min; Jackson, Ken; Janssen, Jan; Vandewalle, Stefan 1 1997 Multigrid waveform relaxation on spatial finite element meshes. Zbl 0830.65091Janssen, Jan; Vandewalle, Stefan 1 1994 The parallel performance of standard parabolic marching schemes. Zbl 0732.65092Vandewalle, S.; Van Driessche, R.; Piessens, R. 1 1991 Robust optimization of PDEs with random coefficients using a multilevel Monte Carlo method. Zbl 1421.35396Van Barel, Andreas; Vandewalle, Stefan 2 2019 A dimension-adaptive multi-index Monte Carlo method applied to a model of a heat exchanger. Zbl 1407.80013Robbe, Pieterjan; Nuyens, Dirk; Vandewalle, Stefan 2 2018 Multigrid methods with space-time concurrency. Zbl 1448.65146Falgout, R. D.; Friedhoff, S.; Kolev, Tz. V.; MacLachlan, S. P.; Schroder, J. B.; Vandewalle, S. 3 2017 A multi-index quasi-Monte Carlo algorithm for lognormal diffusion problems. Zbl 1386.60225Robbe, Pieterjan; Nuyens, Dirk; Vandewalle, Stefan 3 2017 On the efficiency of gradient based optimization algorithms for DNS-based optimal control in a turbulent channel flow. Zbl 1390.76061Nita, C.; Vandewalle, S.; Meyers, J. 4 2016 Explicit barycentric weights for polynomial interpolation in the roots or extrema of classical orthogonal polynomials. Zbl 1297.41001Wang, Haiyong; Huybrechs, Daan; Vandewalle, Stefan 22 2014 Sequential quadratic programming (SQP) for optimal control in direct numerical simulation of turbulent flow. Zbl 1349.90663Badreddine, Hassan; Vandewalle, Stefan; Meyers, Johan 4 2014 Mimetic discretization and higher order time integration for acoustic, electromagnetic and elastodynamic wave propagation. Zbl 1291.65274Vandekerckhove, Steven; Vandewoestyne, Bart; De Gersem, Herbert; Van Den Abeele, Koen; Vandewalle, Stefan 2 2014 A Riemannian geometry with complete geodesics for the set of positive semidefinite matrices of fixed rank. Zbl 1271.53039Vandereycken, Bart; Absil, P.-A.; Vandewalle, Stefan 11 2013 Iterative solvers for a spectral Galerkin approach to elliptic partial differential equations with fuzzy coefficients. Zbl 1282.35403Corveleyn, Samuel; Rosseel, Eveline; Vandewalle, Stefan 5 2013 Unconditionally stable difference methods for delay partial differential equations. Zbl 1272.65066Huang, Chengming; Vandewalle, Stefan 10 2012 Newton-multigrid for biological reaction-diffusion problems with random coefficients. Zbl 1265.65008Rosseel, Eveline; Scheerlinck, Nico; Vandewalle, Stefan 1 2012 Nested multigrid methods for time-periodic, parabolic optimal control problems. Zbl 1241.65061Abbeloos, Dirk; Diehl, Moritz; Hinze, Michael; Vandewalle, Stefan 5 2011 A Riemannian optimization approach for computing low-rank solutions of Lyapunov equations. Zbl 1221.65108Vandereycken, Bart; Vandewalle, Stefan 24 2010 Iterative solvers for the stochastic finite element method. Zbl 1253.65007Rosseel, Eveline; Vandewalle, Stefan 17 2010 A multigrid solver for phase field simulation of microstructure evolution. Zbl 1191.82035Vanherpe, Liesbeth; Wendler, Frank; Nestler, Britta; Vandewalle, Stefan 6 2010 On the local approximation power of quasi-hierarchical Powell-Sabin splines. Zbl 1274.65020Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan 5 2010 Nonlinear stochastic Galerkin and collocation methods: application to a ferromagnetic cylinder rotating at high speed. Zbl 1364.74099Rosseel, Eveline; De Gersem, Herbert; Vandewalle, Stefan 2 2010 Quasi-hierarchical Powell-Sabin B-splines. Zbl 1205.65056Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan 19 2009 Stability of Runge-Kutta-Pouzet methods for Volterra integro-differential equations with delays. Zbl 1396.65112Huang, Chengming; Vandewalle, Stefan 19 2009 The smoothed spectral abscissa for robust stability optimization. Zbl 1185.93110Vanbiervliet, Joris; Vandereycken, Bart; Michiels, Wim; Vandewalle, Stefan; Diehl, Moritz 4 2009 Stability criteria for exact and discrete solutions of neutral multidelay-integro-differential equations. Zbl 1154.65101Zhang, Chengjian; Vandewalle, Stefan 23 2008 Local Fourier analysis of multigrid for the curl-curl equation. Zbl 1168.65422Boonen, Tim; Van Lent, Jan; Vandewalle, Stefan 15 2008 A nonsmooth optimisation approach for the stabilisation of time-delay systems. Zbl 1146.65056Vanbiervliet, Joris; Verheyden, Koen; Michiels, Wim; Vandewalle, Stefan 11 2008 Algebraic multigrid for stationary and time-dependent partial differential equations with stochastic coefficients. Zbl 1212.65019Rosseel, E.; Boonen, T.; Vandewalle, S. 9 2008 An efficient implementation of boundary element methods for computationally expensive Green’s functions. Zbl 1244.78023Huybrechs, Daan; Vandewalle, Stefan 4 2008 On the \(L_p\)-stability of quasi-hierarchical Powell-Sabin B-splines. Zbl 1154.41006Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan 2 2008 Multigrid methods with Powell-Sabin splines. Zbl 1158.65084Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan 1 2008 Analysis of the parareal time-parallel time-integration method. Zbl 1141.65064Gander, Martin J.; Vandewalle, Stefan 96 2007 A sparse discretization for integral equation formulations of high frequency scattering problems. Zbl 1154.65376Huybrechs, Daan; Vandewalle, Stefan 50 2007 The construction of cubature rules for multivariate highly oscillatory integrals. Zbl 1128.65024Huybrechs, Daan; Vandewalle, Stefan 15 2007 Fourier mode analysis of multigrid methods for partial differential equations with random coefficients. Zbl 1120.65309Seynaeve, Bert; Rosseel, Eveline; Nicolaï, Bart; Vandewalle, Stefan 9 2007 Weight control for modelling with NURPS surfaces. Zbl 1171.65353Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan 7 2007 Powell-Sabin splines with boundary conditions for polygonal and non-polygonal domains. Zbl 1117.65026Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan 5 2007 Exact integration formulas for the finite volume element method on simplicial meshes. Zbl 1129.65069Voitovich, T. V.; Vandewalle, S. 2 2007 On the evaluation of highly oscillatory integrals by analytic continuation. Zbl 1123.65017Huybrechs, Daan; Vandewalle, Stefan 103 2006 General linear methods for Volterra integro-differential equations with memory. Zbl 1104.65133Zhang, Chengjian; Vandewalle, Stefan 44 2006 Numerical solution of partial differential equations with Powell-Sabin splines. Zbl 1086.65114Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan 26 2006 A two-dimensional wavelet-packet transform for matrix compression of integral equations with highly oscillatory kernel. Zbl 1101.65113Huybrechs, Daan; Vandewalle, Stefan 7 2006 Local subdivision of Powell–Sabin splines. Zbl 1093.65011Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan 5 2006 On algebraic multigrid methods derived from partition of unity nodal prolongators. Zbl 1174.65541Boonen, Tim; Deliége, Geoffrey; Vandewalle, Stefan 3 2006 Role of the diffusion coefficient in one-dimensional convection-diffusion models for sedimentation/thickening in secondary settling tanks. Zbl 1128.76064Verdickt, L. B.; Voitovich, T. V.; Vandewalle, S.; Lust, K.; Smets, I. Y.; van Impe, J. F. 1 2006 Discretized stability and error growth of the nonautonomous pantograph equation. Zbl 1080.65068Huang, Chengming; Vandewalle, Stefan 19 2005 Multigrid methods for implicit Runge-Kutta and boundary value method discretizations of parabolic PDEs. Zbl 1109.65081van Lent, Jan; Vandewalle, Stefan 12 2005 Composite quadrature formulae for the approximation of wavelet coefficients of piecewise smooth and singular functions. Zbl 1069.65152Huybrechs, Daan; Vandewalle, Stefan 7 2005 The COOLFluiD framework: Design solutions for high performance object oriented scientific computing software. Zbl 1129.65328Lani, Andrea; Quintino, Tiago; Kimpe, Dries; Deconinck, Herman; Vandewalle, Stefan; Poedts, Stefaan 5 2005 Optimized overlapping Schwarz methods for parabolic PDEs with time-delay. Zbl 1066.65099Vandewalle, Stefan; Gander, Martin J. 4 2005 Stability analysis of Runge-Kutta methods for nonlinear Volterra delay-integro-differential equations. Zbl 1057.65104Zhang, Chengjian; Vandewalle, Stefan 49 2004 An analysis of delay-dependent stability for ordinary and partial differential equations with fixed and distributed delays. Zbl 1064.65078Huang, Chengming; Vandewalle, Stefan 43 2004 Stability analysis of Volterra delay-integro-differential equations and their backward differentiation time discretization. Zbl 1047.65117Zhang, Chengjian; Vandewalle, Stefan 33 2004 A note on wave number dependence of wavelet matrix compression for integral equations with oscillatory kernel. Zbl 1099.78018Huybrechs, Daan; Simoens, Jo; Vandewalle, Stefan 10 2004 An algebraic multilevel preconditioner for field-circuit coupled problems. Zbl 1061.78014Lahaye, Domenico; Vandewalle, Stefan; Hameyer, Kay 2 2004 A stabilized lifting construction of wavelets on irregular meshes on the interval. Zbl 1031.42036Simoens, Jo; Vandewalle, Stefan 4 2003 Multigrid waveform relaxation for anisotropic partial differential equations. Zbl 1012.65099van Lent, Jan; Vandewalle, Stefan 5 2002 Krylov subspace methods for harmonic balanced finite element methods. Zbl 1018.65046De Gersem, H.; Vandewalle, Stefan; Hameyer, Kay 1 2001 Waveform relaxation with fast direct methods as preconditioner. Zbl 0969.65085Simoens, Jo; Vandewalle, Stefan 3 2000 Waveform relaxation for functional-differential equations. Zbl 0945.65107Zubik-Kowal, Barbara; Vandewalle, Stefan 31 1999 Comparison of quasi minimal residual and bi-conjugate gradient iterative methods to solve complex symmetric systems arising from time-harmonic magnetic simulations. Zbl 0946.78507De Gersem, H.; Lahaye, D.; Vandewalle, S.; Hameyer, K. 1 1999 On SOR waveform relaxation methods. Zbl 0898.65038Janssen, Jan; Vandewalle, Stefan 18 1997 Schwarz methods: To symmetrize or not to symmetrize. Zbl 0880.65090Holst, Michael; Vandewalle, Stefan 5 1997 Remarks on the optimal convolution kernel for CSOR waveform relaxation. Zbl 0889.65069Hu, Min; Jackson, Ken; Janssen, Jan; Vandewalle, Stefan 1 1997 Multigrid waveform relaxation on spatial finite element meshes: The continuous-time case. Zbl 0853.65094Janssen, Jan; Vandewalle, Stefan 17 1996 Multigrid waveform relaxation on spatial finite element meshes: The discrete-time case. Zbl 0844.65070Janssen, Jan; Vandewalle, Stefan 8 1996 A space-time multigrid method for parabolic partial differential equations. Zbl 0828.65105Horton, G.; Vandewalle, S. 56 1995 An algorithm with polylog parallel complexity for solving parabolic partial differential equations. Zbl 0827.65094Horton, G.; Vandewalle, S.; Worley, P. 17 1995 Fourier mode analysis of the multigrid waveform relaxation and time- parallel multigrid methods. Zbl 0826.65087Vandewalle, S.; Horton, G. 15 1995 Space-time concurrent multigrid waveform relaxation. Zbl 0829.65115Vandewalle, Stefan G.; Van de Velde, Eric F. 16 1994 Multigrid waveform relaxation on spatial finite element meshes. Zbl 0830.65091Janssen, Jan; Vandewalle, Stefan 1 1994 Parallel multigrid waveform relaxation for parabolic problems. Zbl 0816.65057Vandewalle, Stefan 36 1993 On dynamic iteration methods for solving time-periodic differential equations. Zbl 0768.65061Vandewalle, Stefan; Piessens, Robert 11 1993 Efficient parallel algorithms for solving initial-boundary value and time-periodic parabolic partial differential equations. Zbl 0766.65076Vandewalle, Stefan; Piessens, Robert 16 1992 Numerical experiments with nonlinear multigrid waveform relaxation on a parallel processor. Zbl 0739.65083Vandewalle, Stefan; Piessens, Robert 15 1991 Multigrid waveform relaxation for solving parabolic partial differential equations. Zbl 0737.65079Vandewalle, Stefan; Piessens, Robert 2 1991 The parallel performance of standard parabolic marching schemes. Zbl 0732.65092Vandewalle, S.; Van Driessche, R.; Piessens, R. 1 1991 all cited Publications top 5 cited Publications all top 5 Cited by 1,039 Authors 25 Vandewalle, Stefan G. 23 Xiang, Shuhuang 22 Zhang, Chengjian 21 Speleers, Hendrik 20 Jiang, Yaolin 18 Wu, Shulin 16 Huybrechs, Daan 16 Wang, Wansheng 15 Huang, Chengming 12 Gander, Martin Jakob 10 Li, Shoufu 9 Gaspar, Francisco José 9 Ma, Junjie 9 Rodrigo, Carmen 9 Wen, Liping 9 Xu, Yang 8 Chen, Ruyun 8 Gan, Siqing 8 Kang, Hongchao 8 Wang, Haiyong 8 Zhao, Jingjun 7 Geiser, Jürgen 7 Iserles, Arieh 7 Olver, Sheehan Shakiban 7 Xu, Zhenhua 6 Borzì, Alfio 6 Burrage, Kevin 6 Ecevit, Fatih 6 Li, Dongfang 6 MacLachlan, Scott P. 6 Manni, Carla 6 Michiels, Wim 6 Neumüller, Martin 6 Siraj-ul-Islam 6 Yu, Yuexin 6 Zubik-Kowal, Barbara 5 Asheim, Andreas 5 Benner, Peter 5 Deaño, Alfredo 5 Dierckx, Paul 5 Falgout, Robert D. 5 Grošelj, Jan 5 Jackiewicz, Zdzislaw 5 Lani, Andrea 5 Qin, Tingting 5 Ruprecht, Daniel 5 Schöps, Sebastian 5 Schroder, Jacob B. 5 Subber, Waad 5 Tang, Xiaojun 5 Uschmajew, André 4 Boubendir, Yassine 4 Chumchob, Noppadol 4 De Gersem, Herbert 4 Desmet, Wim 4 Fan, Yan 4 Fan, Zhencheng 4 Gao, Jing 4 He, Guo 4 Hu, Guangda 4 Hu, Peng 4 Jüttler, Bert 4 Li, Jianbing 4 Li, Shishun 4 Li, Songhua 4 Liu, Jun 4 Milovanović, Gradimir V. 4 Pluymers, Bert 4 Song, Bo 4 Wang, Tao 4 Wang, Xuesong 4 Wu, Xinyuan 4 Yi, Lijun 4 Zaman, Sakhi 4 Zhang, Qifeng 4 Zhou, Tao 3 Atak, Onur 3 Bartoszewski, Zbigniew 3 Boussaada, Islam 3 Brunner, Hermann 3 Cai, Xiao-Chuan 3 Calabró, Francesco 3 Cao, Yang 3 Chandler-Wilde, Simon N. 3 Chen, Hao 3 Chen, Hao 3 Chen, Ke 3 Conte, Dajana 3 Ding, Xiaoli 3 Fang, Chunhua 3 Ganesh, Mahadevan 3 Giannelli, Carlotta 3 Halpern, Laurence 3 Hosseini, Seyedehsomayeh 3 Hughes, Thomas J. R. 3 Jankowski, Tadeusz 3 Krause, Rolf H. 3 Kwapisz, Marian 3 Kwok, Felix 3 Langdon, Stephen ...and 939 more Authors all top 5 Cited in 132 Serials 84 Journal of Computational and Applied Mathematics 56 Applied Mathematics and Computation 39 SIAM Journal on Scientific Computing 36 Applied Numerical Mathematics 34 Journal of Computational Physics 22 Computer Methods in Applied Mechanics and Engineering 21 Computers & Mathematics with Applications 21 BIT 21 Numerical Algorithms 19 Journal of Scientific Computing 19 International Journal of Computer Mathematics 16 Mathematics of Computation 16 Numerische Mathematik 13 Journal of Mathematical Analysis and Applications 12 Computer Aided Geometric Design 10 SIAM Journal on Numerical Analysis 10 SIAM/ASA Journal on Uncertainty Quantification 9 Advances in Computational Mathematics 9 Computing and Visualization in Science 8 SIAM Journal on Matrix Analysis and Applications 8 Engineering Analysis with Boundary Elements 7 International Journal for Numerical Methods in Engineering 7 Numerical Linear Algebra with Applications 7 Frontiers of Mathematics in China 6 Computers and Fluids 6 Mathematical and Computer Modelling 6 Linear Algebra and its Applications 5 International Journal of Control 5 Applied Mathematics Letters 5 Applied Mathematical Modelling 5 Computational and Applied Mathematics 5 Mathematical Problems in Engineering 5 Abstract and Applied Analysis 4 Journal of Fluid Mechanics 4 Mathematical Methods in the Applied Sciences 4 Automatica 4 Acta Mathematicae Applicatae Sinica. 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Académie des Sciences, Paris 2 Journal of Numerical Mathematics 2 Multiscale Modeling & Simulation 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 GAMM-Mitteilungen 2 Asian-European Journal of Mathematics 2 International Journal of Differential Equations 1 Archive for Rational Mechanics and Analysis 1 Communications on Pure and Applied Mathematics 1 Journal of Mathematical Physics 1 Physica A 1 Rocky Mountain Journal of Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Journal of Geometry and Physics 1 ACM Transactions on Mathematical Software 1 Annals of the Institute of Statistical Mathematics 1 Journal of Differential Equations 1 Monatshefte für Mathematik 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 Acta Applicandae Mathematicae 1 Physica D 1 Parallel Computing 1 Journal of Symbolic Computation 1 Constructive Approximation 1 European Journal of Applied Mathematics 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 SIAM Review 1 Mathematical Programming. Series A. Series B 1 Journal of Mathematical Imaging and Vision 1 Advances in Engineering Software 1 Applied and Computational Harmonic Analysis 1 Turkish Journal of Mathematics 1 Journal of Difference Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 Journal of Vibration and Control 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Optimization Methods & Software ...and 32 more Serials all top 5 Cited in 41 Fields 620 Numerical analysis (65-XX) 157 Partial differential equations (35-XX) 108 Ordinary differential equations (34-XX) 86 Approximations and expansions (41-XX) 81 Integral equations (45-XX) 53 Fluid mechanics (76-XX) 34 Calculus of variations and optimal control; optimization (49-XX) 30 Probability theory and stochastic processes (60-XX) 26 Mechanics of deformable solids (74-XX) 24 Linear and multilinear algebra; matrix theory (15-XX) 22 Harmonic analysis on Euclidean spaces (42-XX) 22 Optics, electromagnetic theory (78-XX) 22 Systems theory; control (93-XX) 17 Special functions (33-XX) 16 Computer science (68-XX) 14 Operations research, mathematical programming (90-XX) 10 Integral transforms, operational calculus (44-XX) 8 Operator theory (47-XX) 8 Statistical mechanics, structure of matter (82-XX) 8 Information and communication theory, circuits (94-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Biology and other natural sciences (92-XX) 6 Real functions (26-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Differential geometry (53-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Functions of a complex variable (30-XX) 3 Difference and functional equations (39-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Number theory (11-XX) 2 Potential theory (31-XX) 2 Statistics (62-XX) 2 Mechanics of particles and systems (70-XX) 2 Quantum theory (81-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Geophysics (86-XX) Citations by Year Wikidata Timeline