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Vandewalle, Stefan G.

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 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)

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 1123.65017
Huybrechs, Daan; Vandewalle, Stefan
2006
Analysis of the parareal time-parallel time-integration method. Zbl 1141.65064
Gander, Martin J.; Vandewalle, Stefan
2007
A space-time multigrid method for parabolic partial differential equations. Zbl 0828.65105
Horton, G.; Vandewalle, S.
1995
A sparse discretization for integral equation formulations of high frequency scattering problems. Zbl 1154.65376
Huybrechs, Daan; Vandewalle, Stefan
2007
Stability analysis of Runge-Kutta methods for nonlinear Volterra delay-integro-differential equations. Zbl 1057.65104
Zhang, Chengjian; Vandewalle, Stefan
2004
General linear methods for Volterra integro-differential equations with memory. Zbl 1104.65133
Zhang, Chengjian; Vandewalle, Stefan
2006
An analysis of delay-dependent stability for ordinary and partial differential equations with fixed and distributed delays. Zbl 1064.65078
Huang, Chengming; Vandewalle, Stefan
2004
Parallel multigrid waveform relaxation for parabolic problems. Zbl 0816.65057
Vandewalle, Stefan
1993
Stability analysis of Volterra delay-integro-differential equations and their backward differentiation time discretization. Zbl 1047.65117
Zhang, Chengjian; Vandewalle, Stefan
2004
Waveform relaxation for functional-differential equations. Zbl 0945.65107
Zubik-Kowal, Barbara; Vandewalle, Stefan
1999
Numerical solution of partial differential equations with Powell-Sabin splines. Zbl 1086.65114
Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan
2006
A Riemannian optimization approach for computing low-rank solutions of Lyapunov equations. Zbl 1221.65108
Vandereycken, Bart; Vandewalle, Stefan
2010
Stability criteria for exact and discrete solutions of neutral multidelay-integro-differential equations. Zbl 1154.65101
Zhang, Chengjian; Vandewalle, Stefan
2008
Explicit barycentric weights for polynomial interpolation in the roots or extrema of classical orthogonal polynomials. Zbl 1297.41001
Wang, Haiyong; Huybrechs, Daan; Vandewalle, Stefan
2014
Quasi-hierarchical Powell-Sabin B-splines. Zbl 1205.65056
Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan
2009
Stability of Runge-Kutta-Pouzet methods for Volterra integro-differential equations with delays. Zbl 1396.65112
Huang, Chengming; Vandewalle, Stefan
2009
Discretized stability and error growth of the nonautonomous pantograph equation. Zbl 1080.65068
Huang, Chengming; Vandewalle, Stefan
2005
On SOR waveform relaxation methods. Zbl 0898.65038
Janssen, Jan; Vandewalle, Stefan
1997
Iterative solvers for the stochastic finite element method. Zbl 1253.65007
Rosseel, Eveline; Vandewalle, Stefan
2010
Multigrid waveform relaxation on spatial finite element meshes: The continuous-time case. Zbl 0853.65094
Janssen, Jan; Vandewalle, Stefan
1996
An algorithm with polylog parallel complexity for solving parabolic partial differential equations. Zbl 0827.65094
Horton, G.; Vandewalle, S.; Worley, P.
1995
Space-time concurrent multigrid waveform relaxation. Zbl 0829.65115
Vandewalle, Stefan G.; Van de Velde, Eric F.
1994
Efficient parallel algorithms for solving initial-boundary value and time-periodic parabolic partial differential equations. Zbl 0766.65076
Vandewalle, Stefan; Piessens, Robert
1992
Local Fourier analysis of multigrid for the curl-curl equation. Zbl 1168.65422
Boonen, Tim; Van Lent, Jan; Vandewalle, Stefan
2008
The construction of cubature rules for multivariate highly oscillatory integrals. Zbl 1128.65024
Huybrechs, Daan; Vandewalle, Stefan
2007
Fourier mode analysis of the multigrid waveform relaxation and time- parallel multigrid methods. Zbl 0826.65087
Vandewalle, S.; Horton, G.
1995
Numerical experiments with nonlinear multigrid waveform relaxation on a parallel processor. Zbl 0739.65083
Vandewalle, Stefan; Piessens, Robert
1991
Multigrid methods for implicit Runge-Kutta and boundary value method discretizations of parabolic PDEs. Zbl 1109.65081
van Lent, Jan; Vandewalle, Stefan
2005
A Riemannian geometry with complete geodesics for the set of positive semidefinite matrices of fixed rank. Zbl 1271.53039
Vandereycken, Bart; Absil, P.-A.; Vandewalle, Stefan
2013
A nonsmooth optimisation approach for the stabilisation of time-delay systems. Zbl 1146.65056
Vanbiervliet, Joris; Verheyden, Koen; Michiels, Wim; Vandewalle, Stefan
2008
On dynamic iteration methods for solving time-periodic differential equations. Zbl 0768.65061
Vandewalle, Stefan; Piessens, Robert
1993
Unconditionally stable difference methods for delay partial differential equations. Zbl 1272.65066
Huang, Chengming; Vandewalle, Stefan
2012
A note on wave number dependence of wavelet matrix compression for integral equations with oscillatory kernel. Zbl 1099.78018
Huybrechs, Daan; Simoens, Jo; Vandewalle, Stefan
2004
Algebraic multigrid for stationary and time-dependent partial differential equations with stochastic coefficients. Zbl 1212.65019
Rosseel, E.; Boonen, T.; Vandewalle, S.
2008
Fourier mode analysis of multigrid methods for partial differential equations with random coefficients. Zbl 1120.65309
Seynaeve, Bert; Rosseel, Eveline; Nicolaï, Bart; Vandewalle, Stefan
2007
Multigrid waveform relaxation on spatial finite element meshes: The discrete-time case. Zbl 0844.65070
Janssen, Jan; Vandewalle, Stefan
1996
Weight control for modelling with NURPS surfaces. Zbl 1171.65353
Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan
2007
A two-dimensional wavelet-packet transform for matrix compression of integral equations with highly oscillatory kernel. Zbl 1101.65113
Huybrechs, Daan; Vandewalle, Stefan
2006
Composite quadrature formulae for the approximation of wavelet coefficients of piecewise smooth and singular functions. Zbl 1069.65152
Huybrechs, Daan; Vandewalle, Stefan
2005
A multigrid solver for phase field simulation of microstructure evolution. Zbl 1191.82035
Vanherpe, Liesbeth; Wendler, Frank; Nestler, Britta; Vandewalle, Stefan
2010
Iterative solvers for a spectral Galerkin approach to elliptic partial differential equations with fuzzy coefficients. Zbl 1282.35403
Corveleyn, Samuel; Rosseel, Eveline; Vandewalle, Stefan
2013
Nested multigrid methods for time-periodic, parabolic optimal control problems. Zbl 1241.65061
Abbeloos, Dirk; Diehl, Moritz; Hinze, Michael; Vandewalle, Stefan
2011
On the local approximation power of quasi-hierarchical Powell-Sabin splines. Zbl 1274.65020
Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan
2010
Powell-Sabin splines with boundary conditions for polygonal and non-polygonal domains. Zbl 1117.65026
Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan
2007
Local subdivision of Powell–Sabin splines. Zbl 1093.65011
Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan
2006
The COOLFluiD framework: Design solutions for high performance object oriented scientific computing software. Zbl 1129.65328
Lani, Andrea; Quintino, Tiago; Kimpe, Dries; Deconinck, Herman; Vandewalle, Stefan; Poedts, Stefaan
2005
Multigrid waveform relaxation for anisotropic partial differential equations. Zbl 1012.65099
van Lent, Jan; Vandewalle, Stefan
2002
Schwarz methods: To symmetrize or not to symmetrize. Zbl 0880.65090
Holst, Michael; Vandewalle, Stefan
1997
On the efficiency of gradient based optimization algorithms for DNS-based optimal control in a turbulent channel flow. Zbl 1390.76061
Nita, C.; Vandewalle, S.; Meyers, J.
2016
Sequential quadratic programming (SQP) for optimal control in direct numerical simulation of turbulent flow. Zbl 1349.90663
Badreddine, Hassan; Vandewalle, Stefan; Meyers, Johan
2014
The smoothed spectral abscissa for robust stability optimization. Zbl 1185.93110
Vanbiervliet, Joris; Vandereycken, Bart; Michiels, Wim; Vandewalle, Stefan; Diehl, Moritz
2009
An efficient implementation of boundary element methods for computationally expensive Green’s functions. Zbl 1244.78023
Huybrechs, Daan; Vandewalle, Stefan
2008
Optimized overlapping Schwarz methods for parabolic PDEs with time-delay. Zbl 1066.65099
Vandewalle, Stefan; Gander, Martin J.
2005
A stabilized lifting construction of wavelets on irregular meshes on the interval. Zbl 1031.42036
Simoens, Jo; Vandewalle, Stefan
2003
Multigrid methods with space-time concurrency. Zbl 1448.65146
Falgout, R. D.; Friedhoff, S.; Kolev, Tz. V.; MacLachlan, S. P.; Schroder, J. B.; Vandewalle, S.
2017
A multi-index quasi-Monte Carlo algorithm for lognormal diffusion problems. Zbl 1386.60225
Robbe, Pieterjan; Nuyens, Dirk; Vandewalle, Stefan
2017
On algebraic multigrid methods derived from partition of unity nodal prolongators. Zbl 1174.65541
Boonen, Tim; Deliége, Geoffrey; Vandewalle, Stefan
2006
Waveform relaxation with fast direct methods as preconditioner. Zbl 0969.65085
Simoens, Jo; Vandewalle, Stefan
2000
Robust optimization of PDEs with random coefficients using a multilevel Monte Carlo method. Zbl 1421.35396
Van Barel, Andreas; Vandewalle, Stefan
2019
A dimension-adaptive multi-index Monte Carlo method applied to a model of a heat exchanger. Zbl 1407.80013
Robbe, Pieterjan; Nuyens, Dirk; Vandewalle, Stefan
2018
Mimetic discretization and higher order time integration for acoustic, electromagnetic and elastodynamic wave propagation. Zbl 1291.65274
Vandekerckhove, Steven; Vandewoestyne, Bart; De Gersem, Herbert; Van Den Abeele, Koen; Vandewalle, Stefan
2014
Nonlinear stochastic Galerkin and collocation methods: application to a ferromagnetic cylinder rotating at high speed. Zbl 1364.74099
Rosseel, Eveline; De Gersem, Herbert; Vandewalle, Stefan
2010
On the $$L_p$$-stability of quasi-hierarchical Powell-Sabin B-splines. Zbl 1154.41006
Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan
2008
Exact integration formulas for the finite volume element method on simplicial meshes. Zbl 1129.65069
Voitovich, T. V.; Vandewalle, S.
2007
An algebraic multilevel preconditioner for field-circuit coupled problems. Zbl 1061.78014
Lahaye, Domenico; Vandewalle, Stefan; Hameyer, Kay
2004
Multigrid waveform relaxation for solving parabolic partial differential equations. Zbl 0737.65079
Vandewalle, Stefan; Piessens, Robert
1991
Newton-multigrid for biological reaction-diffusion problems with random coefficients. Zbl 1265.65008
Rosseel, Eveline; Scheerlinck, Nico; Vandewalle, Stefan
2012
Multigrid methods with Powell-Sabin splines. Zbl 1158.65084
Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan
2008
Role of the diffusion coefficient in one-dimensional convection-diffusion models for sedimentation/thickening in secondary settling tanks. Zbl 1128.76064
Verdickt, L. B.; Voitovich, T. V.; Vandewalle, S.; Lust, K.; Smets, I. Y.; van Impe, J. F.
2006
Krylov subspace methods for harmonic balanced finite element methods. Zbl 1018.65046
De Gersem, H.; Vandewalle, Stefan; Hameyer, Kay
2001
Comparison of quasi minimal residual and bi-conjugate gradient iterative methods to solve complex symmetric systems arising from time-harmonic magnetic simulations. Zbl 0946.78507
De Gersem, H.; Lahaye, D.; Vandewalle, S.; Hameyer, K.
1999
Remarks on the optimal convolution kernel for CSOR waveform relaxation. Zbl 0889.65069
Hu, Min; Jackson, Ken; Janssen, Jan; Vandewalle, Stefan
1997
Multigrid waveform relaxation on spatial finite element meshes. Zbl 0830.65091
Janssen, Jan; Vandewalle, Stefan
1994
The parallel performance of standard parabolic marching schemes. Zbl 0732.65092
Vandewalle, S.; Van Driessche, R.; Piessens, R.
1991
Robust optimization of PDEs with random coefficients using a multilevel Monte Carlo method. Zbl 1421.35396
Van Barel, Andreas; Vandewalle, Stefan
2019
A dimension-adaptive multi-index Monte Carlo method applied to a model of a heat exchanger. Zbl 1407.80013
Robbe, Pieterjan; Nuyens, Dirk; Vandewalle, Stefan
2018
Multigrid methods with space-time concurrency. Zbl 1448.65146
Falgout, R. D.; Friedhoff, S.; Kolev, Tz. V.; MacLachlan, S. P.; Schroder, J. B.; Vandewalle, S.
2017
A multi-index quasi-Monte Carlo algorithm for lognormal diffusion problems. Zbl 1386.60225
Robbe, Pieterjan; Nuyens, Dirk; Vandewalle, Stefan
2017
On the efficiency of gradient based optimization algorithms for DNS-based optimal control in a turbulent channel flow. Zbl 1390.76061
Nita, C.; Vandewalle, S.; Meyers, J.
2016
Explicit barycentric weights for polynomial interpolation in the roots or extrema of classical orthogonal polynomials. Zbl 1297.41001
Wang, Haiyong; Huybrechs, Daan; Vandewalle, Stefan
2014
Sequential quadratic programming (SQP) for optimal control in direct numerical simulation of turbulent flow. Zbl 1349.90663
Badreddine, Hassan; Vandewalle, Stefan; Meyers, Johan
2014
Mimetic discretization and higher order time integration for acoustic, electromagnetic and elastodynamic wave propagation. Zbl 1291.65274
Vandekerckhove, Steven; Vandewoestyne, Bart; De Gersem, Herbert; Van Den Abeele, Koen; Vandewalle, Stefan
2014
A Riemannian geometry with complete geodesics for the set of positive semidefinite matrices of fixed rank. Zbl 1271.53039
Vandereycken, Bart; Absil, P.-A.; Vandewalle, Stefan
2013
Iterative solvers for a spectral Galerkin approach to elliptic partial differential equations with fuzzy coefficients. Zbl 1282.35403
Corveleyn, Samuel; Rosseel, Eveline; Vandewalle, Stefan
2013
Unconditionally stable difference methods for delay partial differential equations. Zbl 1272.65066
Huang, Chengming; Vandewalle, Stefan
2012
Newton-multigrid for biological reaction-diffusion problems with random coefficients. Zbl 1265.65008
Rosseel, Eveline; Scheerlinck, Nico; Vandewalle, Stefan
2012
Nested multigrid methods for time-periodic, parabolic optimal control problems. Zbl 1241.65061
Abbeloos, Dirk; Diehl, Moritz; Hinze, Michael; Vandewalle, Stefan
2011
A Riemannian optimization approach for computing low-rank solutions of Lyapunov equations. Zbl 1221.65108
Vandereycken, Bart; Vandewalle, Stefan
2010
Iterative solvers for the stochastic finite element method. Zbl 1253.65007
Rosseel, Eveline; Vandewalle, Stefan
2010
A multigrid solver for phase field simulation of microstructure evolution. Zbl 1191.82035
Vanherpe, Liesbeth; Wendler, Frank; Nestler, Britta; Vandewalle, Stefan
2010
On the local approximation power of quasi-hierarchical Powell-Sabin splines. Zbl 1274.65020
Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan
2010
Nonlinear stochastic Galerkin and collocation methods: application to a ferromagnetic cylinder rotating at high speed. Zbl 1364.74099
Rosseel, Eveline; De Gersem, Herbert; Vandewalle, Stefan
2010
Quasi-hierarchical Powell-Sabin B-splines. Zbl 1205.65056
Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan
2009
Stability of Runge-Kutta-Pouzet methods for Volterra integro-differential equations with delays. Zbl 1396.65112
Huang, Chengming; Vandewalle, Stefan
2009
The smoothed spectral abscissa for robust stability optimization. Zbl 1185.93110
Vanbiervliet, Joris; Vandereycken, Bart; Michiels, Wim; Vandewalle, Stefan; Diehl, Moritz
2009
Stability criteria for exact and discrete solutions of neutral multidelay-integro-differential equations. Zbl 1154.65101
Zhang, Chengjian; Vandewalle, Stefan
2008
Local Fourier analysis of multigrid for the curl-curl equation. Zbl 1168.65422
Boonen, Tim; Van Lent, Jan; Vandewalle, Stefan
2008
A nonsmooth optimisation approach for the stabilisation of time-delay systems. Zbl 1146.65056
Vanbiervliet, Joris; Verheyden, Koen; Michiels, Wim; Vandewalle, Stefan
2008
Algebraic multigrid for stationary and time-dependent partial differential equations with stochastic coefficients. Zbl 1212.65019
Rosseel, E.; Boonen, T.; Vandewalle, S.
2008
An efficient implementation of boundary element methods for computationally expensive Green’s functions. Zbl 1244.78023
Huybrechs, Daan; Vandewalle, Stefan
2008
On the $$L_p$$-stability of quasi-hierarchical Powell-Sabin B-splines. Zbl 1154.41006
Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan
2008
Multigrid methods with Powell-Sabin splines. Zbl 1158.65084
Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan
2008
Analysis of the parareal time-parallel time-integration method. Zbl 1141.65064
Gander, Martin J.; Vandewalle, Stefan
2007
A sparse discretization for integral equation formulations of high frequency scattering problems. Zbl 1154.65376
Huybrechs, Daan; Vandewalle, Stefan
2007
The construction of cubature rules for multivariate highly oscillatory integrals. Zbl 1128.65024
Huybrechs, Daan; Vandewalle, Stefan
2007
Fourier mode analysis of multigrid methods for partial differential equations with random coefficients. Zbl 1120.65309
Seynaeve, Bert; Rosseel, Eveline; Nicolaï, Bart; Vandewalle, Stefan
2007
Weight control for modelling with NURPS surfaces. Zbl 1171.65353
Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan
2007
Powell-Sabin splines with boundary conditions for polygonal and non-polygonal domains. Zbl 1117.65026
Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan
2007
Exact integration formulas for the finite volume element method on simplicial meshes. Zbl 1129.65069
Voitovich, T. V.; Vandewalle, S.
2007
On the evaluation of highly oscillatory integrals by analytic continuation. Zbl 1123.65017
Huybrechs, Daan; Vandewalle, Stefan
2006
General linear methods for Volterra integro-differential equations with memory. Zbl 1104.65133
Zhang, Chengjian; Vandewalle, Stefan
2006
Numerical solution of partial differential equations with Powell-Sabin splines. Zbl 1086.65114
Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan
2006
A two-dimensional wavelet-packet transform for matrix compression of integral equations with highly oscillatory kernel. Zbl 1101.65113
Huybrechs, Daan; Vandewalle, Stefan
2006
Local subdivision of Powell–Sabin splines. Zbl 1093.65011
Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan
2006
On algebraic multigrid methods derived from partition of unity nodal prolongators. Zbl 1174.65541
Boonen, Tim; Deliége, Geoffrey; Vandewalle, Stefan
2006
Role of the diffusion coefficient in one-dimensional convection-diffusion models for sedimentation/thickening in secondary settling tanks. Zbl 1128.76064
Verdickt, L. B.; Voitovich, T. V.; Vandewalle, S.; Lust, K.; Smets, I. Y.; van Impe, J. F.
2006
Discretized stability and error growth of the nonautonomous pantograph equation. Zbl 1080.65068
Huang, Chengming; Vandewalle, Stefan
2005
Multigrid methods for implicit Runge-Kutta and boundary value method discretizations of parabolic PDEs. Zbl 1109.65081
van Lent, Jan; Vandewalle, Stefan
2005
Composite quadrature formulae for the approximation of wavelet coefficients of piecewise smooth and singular functions. Zbl 1069.65152
Huybrechs, Daan; Vandewalle, Stefan
2005
The COOLFluiD framework: Design solutions for high performance object oriented scientific computing software. Zbl 1129.65328
Lani, Andrea; Quintino, Tiago; Kimpe, Dries; Deconinck, Herman; Vandewalle, Stefan; Poedts, Stefaan
2005
Optimized overlapping Schwarz methods for parabolic PDEs with time-delay. Zbl 1066.65099
Vandewalle, Stefan; Gander, Martin J.
2005
Stability analysis of Runge-Kutta methods for nonlinear Volterra delay-integro-differential equations. Zbl 1057.65104
Zhang, Chengjian; Vandewalle, Stefan
2004
An analysis of delay-dependent stability for ordinary and partial differential equations with fixed and distributed delays. Zbl 1064.65078
Huang, Chengming; Vandewalle, Stefan
2004
Stability analysis of Volterra delay-integro-differential equations and their backward differentiation time discretization. Zbl 1047.65117
Zhang, Chengjian; Vandewalle, Stefan
2004
A note on wave number dependence of wavelet matrix compression for integral equations with oscillatory kernel. Zbl 1099.78018
Huybrechs, Daan; Simoens, Jo; Vandewalle, Stefan
2004
An algebraic multilevel preconditioner for field-circuit coupled problems. Zbl 1061.78014
Lahaye, Domenico; Vandewalle, Stefan; Hameyer, Kay
2004
A stabilized lifting construction of wavelets on irregular meshes on the interval. Zbl 1031.42036
Simoens, Jo; Vandewalle, Stefan
2003
Multigrid waveform relaxation for anisotropic partial differential equations. Zbl 1012.65099
van Lent, Jan; Vandewalle, Stefan
2002
Krylov subspace methods for harmonic balanced finite element methods. Zbl 1018.65046
De Gersem, H.; Vandewalle, Stefan; Hameyer, Kay
2001
Waveform relaxation with fast direct methods as preconditioner. Zbl 0969.65085
Simoens, Jo; Vandewalle, Stefan
2000
Waveform relaxation for functional-differential equations. Zbl 0945.65107
Zubik-Kowal, Barbara; Vandewalle, Stefan
1999
Comparison of quasi minimal residual and bi-conjugate gradient iterative methods to solve complex symmetric systems arising from time-harmonic magnetic simulations. Zbl 0946.78507
De Gersem, H.; Lahaye, D.; Vandewalle, S.; Hameyer, K.
1999
On SOR waveform relaxation methods. Zbl 0898.65038
Janssen, Jan; Vandewalle, Stefan
1997
Schwarz methods: To symmetrize or not to symmetrize. Zbl 0880.65090
Holst, Michael; Vandewalle, Stefan
1997
Remarks on the optimal convolution kernel for CSOR waveform relaxation. Zbl 0889.65069
Hu, Min; Jackson, Ken; Janssen, Jan; Vandewalle, Stefan
1997
Multigrid waveform relaxation on spatial finite element meshes: The continuous-time case. Zbl 0853.65094
Janssen, Jan; Vandewalle, Stefan
1996
Multigrid waveform relaxation on spatial finite element meshes: The discrete-time case. Zbl 0844.65070
Janssen, Jan; Vandewalle, Stefan
1996
A space-time multigrid method for parabolic partial differential equations. Zbl 0828.65105
Horton, G.; Vandewalle, S.
1995
An algorithm with polylog parallel complexity for solving parabolic partial differential equations. Zbl 0827.65094
Horton, G.; Vandewalle, S.; Worley, P.
1995
Fourier mode analysis of the multigrid waveform relaxation and time- parallel multigrid methods. Zbl 0826.65087
Vandewalle, S.; Horton, G.
1995
Space-time concurrent multigrid waveform relaxation. Zbl 0829.65115
Vandewalle, Stefan G.; Van de Velde, Eric F.
1994
Multigrid waveform relaxation on spatial finite element meshes. Zbl 0830.65091
Janssen, Jan; Vandewalle, Stefan
1994
Parallel multigrid waveform relaxation for parabolic problems. Zbl 0816.65057
Vandewalle, Stefan
1993
On dynamic iteration methods for solving time-periodic differential equations. Zbl 0768.65061
Vandewalle, Stefan; Piessens, Robert
1993
Efficient parallel algorithms for solving initial-boundary value and time-periodic parabolic partial differential equations. Zbl 0766.65076
Vandewalle, Stefan; Piessens, Robert
1992
Numerical experiments with nonlinear multigrid waveform relaxation on a parallel processor. Zbl 0739.65083
Vandewalle, Stefan; Piessens, Robert
1991
Multigrid waveform relaxation for solving parabolic partial differential equations. Zbl 0737.65079
Vandewalle, Stefan; Piessens, Robert
1991
The parallel performance of standard parabolic marching schemes. Zbl 0732.65092
Vandewalle, S.; Van Driessche, R.; Piessens, R.
1991
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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
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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. English Series 4 SIAM Journal on Optimization 4 Archives of Computational Methods in Engineering 3 Calcolo 3 Computing 3 Computational Mechanics 3 Numerical Methods for Partial Differential Equations 3 Journal of Integral Equations and Applications 3 Computational Optimization and Applications 3 Foundations of Computational Mathematics 2 Applicable Analysis 2 Computer Physics Communications 2 Journal of Engineering Mathematics 2 Journal of the Franklin Institute 2 Linear and Multilinear Algebra 2 Fuzzy Sets and Systems 2 Journal of Approximation Theory 2 Mathematics and Computers in Simulation 2 Systems & Control Letters 2 COMPEL 2 Science in China. Series A 2 ETNA. Electronic Transactions on Numerical Analysis 2 Journal of Inequalities and Applications 2 Fractional Calculus & Applied Analysis 2 Discrete Dynamics in Nature and Society 2 Communications in Nonlinear Science and Numerical Simulation 2 Comptes Rendus. Mathématique. 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
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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)