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Author ID: vuik.c Recent zbMATH articles by "Vuik, Cornelis"
Published as: Vuik, C.; Vuik, Cornelis; Vuik, Kees; Vuik, K.
Homepage: http://ta.twi.tudelft.nl/nw/users/vuik/
External Links: MGP · ORCID · dblp
all top 5

Co-Authors

11 single-authored
24 Vermolen, Fred J.
11 van der Heul, Duncan R.
10 Oosterlee, Cornelis Willebrordus
9 Segal, Guus
8 Javierre, E.
8 Möller, Matthias
8 Van Gijzen, Martin Bastiaan
7 Erlangga, Yogi A.
7 Lahaye, Domenico
7 Tang, Jok M.
6 Nabben, Reinhard
6 Ur Rehman, Mehfooz
6 van der Zwaag, S.
5 He, Xin
5 Ryan, Jennifer K.
4 de Borst, René
4 Kleijn, Chris R.
4 MacLachlan, Scott P.
4 Tielen, Roel
4 van Meurs, G. A. M.
4 Van Slingerland, Paulien
4 van Veldhuizen, S.
4 van Wijngaarden, W. K.
3 Dwarka, Vandana
3 Henkes, Ruud A. W. M.
3 Hinz, Jochen
3 Jönsthövel, Tom B.
3 Klaij, Christiaan M.
3 Knibbe, H.
3 Li, Xiaozhou
3 Lukyanov, Alexander A.
3 Qiu, Yue
3 van der Ven, Harmen
3 Van der Vorst, Henk Albertus
3 van ’t Wout, Elwin
3 Van Wingerden, Jan-Willem
3 Verhaegen, Michel
2 Brusche, J. H.
2 Dekker, Kees
2 Diaz Cortés, Gabriela Berenice
2 Gaiko, Valery A.
2 Jansen, Jan-Dirk
2 Kootte, M. E.
2 Markensteijn, A. S.
2 Meijerink, J. A.
2 Mulder, Wim A.
2 Plessix, René-Edouard
2 Scarpas, A.
2 Sereeter, Baljinnyam
2 Sheikh, Abdul Hanan
2 van der Pijl, Sander P.
2 van der Ploeg, Auke
2 van der Veen, Hilda
2 Van Zwieten, J. S. B.
1 Aissa, Mohamed
1 Alipour, Najmeh
1 Boerstoel, G. P.
1 Bonnier, P. G.
1 Botta, Eugen F. F.
1 Brinkgreve, R. B. J.
1 Cusini, Matteo
1 Cuvelier, C.
1 de Jong, Martin
1 de la Fonteijne, M. R.
1 de Zeeuw, Paul M.
1 den Decker, P.
1 Den Ouden, D.
1 Ditzel, Auke
1 Dufour, E.
1 Ebadi, Ghodrat
1 el Abbassi, Mohamed
1 El Yaakoubi, L.
1 Euser, R.
1 García Ramos, Luis
1 Geenen, T.
1 Göddeke, Dominik
1 Hajibeygi, Hadi
1 Hendrix, Maurice H. W.
1 Herman, Gérard C.
1 Hooghiemstra, P. B.
1 Horníková, Hana
1 HosseiniMehr, Mousa
1 Idema, Reijer
1 IJzermans, Rutger H. A.
1 Jaeschke, Andrzej
1 Ji, Liangyue
1 Jüttler, Bert
1 Kassels, C. G. M.
1 Kassels, Kees
1 Knoester, H.
1 Koppenol-Gonzalez, Gabriela V.
1 Koppenol, Daniël C.
1 Koren, Barry
1 Lindenberg, Kimberley
1 Lingen, Frederik Jan
1 Meerman, H.
1 Neytcheva, Maya G.
1 Niessen, Frank B.
1 Notay, Yvan
1 Ooms, Gijs
...and 30 more Co-Authors
all top 5

Serials

16 Journal of Computational and Applied Mathematics
14 Journal of Computational Physics
11 International Journal for Numerical Methods in Fluids
8 Applied Numerical Mathematics
8 SIAM Journal on Scientific Computing
6 Numerical Linear Algebra with Applications
6 Computational Geosciences
4 Computer Methods in Applied Mechanics and Engineering
3 Computers & Mathematics with Applications
3 Journal of Scientific Computing
3 ETNA. Electronic Transactions on Numerical Analysis
3 Nieuw Archief voor Wiskunde. Vijfde Serie
3 Lecture Notes in Computational Science and Engineering
2 Computers and Fluids
2 Journal of Mathematical Biology
2 International Journal for Numerical Methods in Engineering
2 FGCS. Future Generation Computer Systems
2 Nieuw Archief voor Wiskunde. Vierde Serie
2 Computing and Visualization in Science
2 IEEE Transactions on Antennas and Propagation
2 Numerical Mathematics: Theory, Methods and Applications
1 Computers and Structures
1 Mathematical Methods in the Applied Sciences
1 Mathematics of Computation
1 Numerische Mathematik
1 SIAM Journal on Numerical Analysis
1 Computer Aided Geometric Design
1 Journal of Computational Mathematics
1 Computational Mechanics
1 Numerical Methods for Partial Differential Equations
1 SIAM Journal on Matrix Analysis and Applications
1 Linear Algebra and its Applications
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Physics of Fluids
1 Advances in Computational Mathematics
1 Dinamicheskie Sistemy (Simferopol’)
1 Nonlinear Analysis. Modelling and Control
1 Journal of Numerical Mathematics
1 JNAIAM. Journal of Numerical Analysis, Industrial and Applied Mathematics
1 Involve
1 IAENG. International Journal of Applied Mathematics
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
1 Geosystems Mathematics

Publications by Year

Citations contained in zbMATH Open

124 Publications have been cited 1,371 times in 830 Documents Cited by Year
A novel multigrid based preconditioner for heterogeneous Helmholtz problems. Zbl 1095.65109
Erlangga, Y. A.; Oosterlee, C. W.; Vuik, C.
120
2006
On a class of preconditioners for solving the Helmholtz equation. Zbl 1051.65101
Erlangga, Y. A.; Vuik, C.; Oosterlee, C. W.
101
2004
GMRESR: A family of nested GMRES methods. Zbl 0839.65040
Van der Vorst, H. A.; Vuik, C.
72
1994
A mass-conserving level-set method for modelling of multi-phase flows. Zbl 1065.76160
van der Pijl, S. P.; Segal, A.; Vuik, C.; Wesseling, P.
70
2005
Spectral analysis of the discrete Helmholtz operator preconditioned with a shifted Laplacian. Zbl 1155.65088
van Gijzen, M. B.; Erlangga, Y. A.; Vuik, C.
54
2007
A conservative pressure-correction method for flow at all speeds. Zbl 1046.76033
van der Heul, D. R.; Vuik, C.; Wesseling, P.
49
2003
The superlinear convergence behaviour of GMRES. Zbl 0797.65026
Van der Vorst, H. A.; Vuik, C.
47
1993
Comparison of two-level preconditioners derived from deflation, domain decomposition and multigrid methods. Zbl 1203.65073
Tang, J. M.; Nabben, R.; Vuik, C.; Erlangga, Y. A.
44
2009
Comparison of multigrid and incomplete LU shifted-Laplace preconditioners for the inhomogeneous Helmholtz equation. Zbl 1094.65041
Erlangga, Y. A.; Vuik, C.; Oosterlee, C. W.
43
2006
An efficient preconditioned CG method for the solution of a class of layered problems with extreme contrasts in the coefficients. Zbl 0945.76048
Vuik, C.; Segal, A.; Meijerink, J. A.
40
1999
On the construction of deflation-based preconditioners. Zbl 0997.65072
Frank, J.; Vuik, C.
30
2001
A comparison of numerical models for one-dimensional Stefan problems. Zbl 1092.65072
Javierre, E.; Vuik, C.; Vermolen, F. J.; van der Zwaag, S.
30
2006
On the convergence of shifted Laplace preconditioner combined with multilevel deflation. Zbl 1313.65293
Sheikh, A. H.; Lahaye, D.; Vuik, C.
29
2013
A parallel multigrid-based preconditioner for the 3D heterogeneous high-frequency Helmholtz equation. Zbl 1120.65127
Riyanti, C. D.; Kononov, A.; Erlangga, Y. A.; Vuik, C.; Oosterlee, C. W.; Plessix, R.-E.; Mulder, W. A.
28
2007
An \(L^ 2\)-error estimate for an approximation of the solution of a parabolic variational inequality. Zbl 0696.65069
Vuik, C.
25
1990
Position-dependent smoothness-increasing accuracy-conserving (SIAC) filtering for improving discontinuous Galerkin solutions. Zbl 1368.65197
van Slingerland, Paulien; Ryan, Jennifer K.; Vuik, C.
25
2011
A comparison of deflation and coarse grid correction applied to porous media flow. Zbl 1146.76658
Nabben, R.; Vuik, C.
23
2004
The Krylov accelerated SIMPLE(R) method for flow problems in industrial furnaces. Zbl 0960.76054
Vuik, C.; Saghir, A.; Boerstoel, G. P.
19
2000
A comparison of deflation and the balancing preconditioner. Zbl 1105.65049
Nabben, R.; Vuik, C.
17
2006
Fast and robust solvers for pressure-correction in bubbly flow problems. Zbl 1317.76062
MacLachlan, S. P.; Tang, J. M.; Vuik, C.
16
2008
A conserving discretization for the free boundary in a two-dimensional Stefan problem. Zbl 0931.65100
Segal, Guus; Vuik, Kees; Vermolen, Fred
15
1998
A comparison of preconditioners for incompressible Navier-Stokes solvers. Zbl 1262.76083
ur Rehman, M.; Vuik, C.; Segal, G.
14
2008
A comparison of two-level preconditioners based on multigrid and deflation. Zbl 1205.65143
Tang, J. M.; MacLachlan, S. P.; Nabben, R.; Vuik, C.
14
2010
Preconditioners for incompressible Navier-Stokes solvers. Zbl 1240.65098
Segal, A.; ur Rehman, M.; Vuik, C.
13
2010
A comparison of some GMRES-like methods. Zbl 0749.65027
Vuik, C.; Van der Vorst, H. A.
12
1992
Solution of the discretized incompressible Navier-Stokes equations with the GMRES method. Zbl 0825.76552
Vuik, C.
12
1993
A mathematical analysis of physiological and morphological aspects of wound closure. Zbl 1232.92054
Javierre, E.; Vermolen, F. J.; Vuik, C.; van der Zwaag, S.
12
2009
Eigenvalue analysis of the SIMPLE preconditioning for incompressible flow. Zbl 1164.65398
Li, Chun Guang; Vuik, C.
11
2004
The construction of projection vectors for a deflated ICCG method applied to problems with extreme contrasts in the coefficients. Zbl 1043.76039
Vuik, C.; Segal, A.; Meijerink, J. A.; Wijma, G. T.
11
2001
SIMPLE-type preconditioners for the Oseen problem. Zbl 1171.76033
Ur Rehman, M.; Vuik, C.; Segal, G.
11
2009
New insights in GMRES-like methods with variable preconditioners. Zbl 0844.65021
Vuik, C.
11
1995
Smoothness-increasing accuracy-conserving (SIAC) filters for derivative approximations of discontinuous Galerkin (DG) solutions over nonuniform meshes and near boundaries. Zbl 1327.65243
Li, X.; Ryan, J. K.; Kirby, R. M.; Vuik, C.
11
2016
Accelerating the shifted Laplace preconditioner for the Helmholtz equation by multilevel deflation. Zbl 1352.65456
Sheikh, A. H.; Lahaye, D.; Garcia Ramos, L.; Nabben, R.; Vuik, C.
11
2016
Numerical solution of an etching problem. Zbl 0586.65085
Vuik, C.; Cuvelier, C.
10
1985
Some historical notes on the Stefan problem. Zbl 0801.35002
Vuik, C.
10
1993
A conservative pressure-correction method for the Euler and ideal MHD equations at all speeds. Zbl 1042.76046
van der Heul, D. R.; Vuik, C.; Wesseling, P.
10
2002
Elliptic grid generation techniques in the framework of isogeometric analysis applications. Zbl 07038570
Hinz, J.; Möller, M.; Vuik, C.
10
2018
On iterative methods for the incompressible Stokes problem. Zbl 1429.76073
ur Rehman, M.; Geenen, T.; Vuik, C.; Segal, G.; MacLachlan, S. P.
10
2011
Shifted-Laplacian preconditioners for heterogeneous Helmholtz problems. Zbl 1190.65183
Oosterlee, C. W.; Vuik, C.; Mulder, W. A.; Plessix, R.-E.
10
2010
One-sided position-dependent smoothness-increasing accuracy-conserving (SIAC) filtering over uniform and non-uniform meshes. Zbl 1326.65135
Ryan, Jennifer K.; Li, Xiaozhou; Kirby, Robert M.; Vuik, Kees
10
2015
Superconvergent error estimates for position-dependent smoothness-increasing accuracy-conserving (SIAC) post-processing of discontinuous Galerkin solutions. Zbl 1300.65066
Ji, Liangyue; van Slingerland, Paulien; Ryan, Jennifer K.; Vuik, Kees
10
2014
Fast iterative solvers for the discretized incompressible Navier-Stokes equations. Zbl 0863.76061
Vuik, C.
9
1996
On deflation and singular symmetric positive semi-definite matrices. Zbl 1125.65028
Tang, J. M.; Vuik, C.
9
2007
Modern solvers for Helmholtz problems. Zbl 1367.65005
9
2017
Stability analysis of segregated solution methods for compressible flow. Zbl 1017.76065
van der Heul, D. R.; Vuik, C.; Wesseling, P.
8
2001
Efficient deflation methods applied to 3-D bubbly flow problems. Zbl 1391.76580
Tang, J. M.; Vuik, C.
8
2007
Algebraic dynamic multilevel method for embedded discrete fracture model (F-ADM). Zbl 1416.76151
HosseiniMehr, Mousa; Cusini, Matteo; Vuik, Cornelis; Hajibeygi, Hadi
8
2018
A comparison of abstract versions of deflation, balancing and additive coarse grid correction preconditioners. Zbl 1212.65121
Nabben, R.; Vuik, C.
7
2008
On the use of rigid body modes in the deflated preconditioned conjugate gradient method. Zbl 1372.74017
Jönsthövel, T. B.; Van Gijzen, M. B.; Vuik, C.; Scarpas, A.
7
2013
GPU implementation of a Helmholtz Krylov solver preconditioned by a shifted Laplace multigrid method. Zbl 1228.65208
Knibbe, H.; Oosterlee, C. W.; Vuik, C.
7
2011
Fast linear solver for diffusion problems with applications to pressure computation in layered domains. Zbl 1386.65111
van Slingerland, P.; Vuik, C.
7
2014
How fast the Laplace equation was solved in 1995. Zbl 0891.65112
Botta, E. F. F.; Dekker, K.; Notay, Y.; van der Ploeg, A.; Vuik, C.; Wubs, F. W.; de Zeeuw, P. M.
6
1997
Domain decomposition for the incompressible Navier-Stokes equations: Solving subdomain problems accurately and inaccurately. Zbl 0915.76063
Brakkee, E.; Vuik, C.; Wesseling, P.
6
1998
Numerical solution of the incompressible Navier-Stokes equations by Krylov subspace and multigrid methods. Zbl 0827.76069
Zeng, S.; Vuik, C.; Wesseling, P.
6
1995
A mathematical model for the dissolution of particlesin multi-component alloys. Zbl 0974.65082
Vermolen, F. J.; Vuik, C.
6
2000
Global dynamics in the Leslie-Gower model with the Allee effect. Zbl 1404.34058
Gaiko, Valery A.; Vuik, Cornelis
6
2018
On the implementation of symmetric and antisymmetric periodic boundary conditions for incompressible flow. Zbl 0807.76041
Segal, Guus; Vuik, Kees; Kassels, Kees
5
1994
Deflation in preconditional conjugate gradient methods for finite element problems. Zbl 1069.65129
Vermolen, Fred; Vuik, Kees; Segal, Guus
5
2004
New variants of deflation techniques for pressure correction in bubbly flow problems. Zbl 1235.76043
Tang, J. M.; Vuik, C.
4
2007
Preconditioners for the steady incompressible Navier-Stokes problem. Zbl 1229.76032
ur Rehman, M.; Vuik, C.; Segal, G.
4
2008
Smoothness-increasing accuracy-conserving (SIAC) filtering for discontinuous Galerkin solutions over nonuniform meshes: superconvergence and optimal accuracy. Zbl 1434.65187
Li, Xiaozhou; Ryan, Jennifer K.; Kirby, Robert M.; Vuik, Kees
4
2019
On POD-based deflation vectors for DPCG applied to porous media problems. Zbl 1432.76253
Diaz Cortes, G. B.; Vuik, C.; Jansen, J. D.
4
2018
A conserving discretization for a Stefan problem with an interface reaction at the free boundary. Zbl 1060.35535
Vuik, C.; Segal, A.; Vermolen, F. J.
4
2000
\(p\)-multigrid methods and their comparison to \(h\)-multigrid methods within isogeometric analysis. Zbl 07337843
Tielen, R.; Möller, M.; Göddeke, D.; Vuik, C.
4
2020
Comparison of the deflated preconditioned conjugate gradient method and algebraic multigrid for composite materials. Zbl 1398.74345
Jönsthövel, T. B.; van Gijzen, M. B.; MacLachlan, S.; Vuik, C.; Scarpas, A.
3
2012
A comparison of various deflation vectors applied to elliptic problems with discontinuous coefficients. Zbl 1143.65396
Vuik, C.; Segal, A.; El Yaakoubi, L.; Dufour, E.
3
2002
Computing incompressible flows in general domains. Zbl 0873.76055
Wesseling, P.; Kassels, C. G. M.; Oosterlee, C. W.; Segal, A.; Vuik, C.; Zeng, S.; Zijlema, M.
3
1994
A numerical method to compute the dissolution of second phases in ternary alloys. Zbl 0932.80004
Vermolen, Fred; Vuik, Kees
3
1998
Numerical methods for reacting gas flow simulations. Zbl 1155.76417
van Veldhuizen, S.; Vuik, C.; Kleijn, C. R.
3
2006
Numerical modelling of epidermal wound healing. Zbl 1153.92017
Javierre, E.; Vermolen, F. J.; Vuik, C.; van der Zwaag, S.
3
2008
Core-annular flow through a horizontal pipe: hydrodynamic counterbalancing of buoyancy force on core. Zbl 1182.76571
Ooms, G.; Vuik, C.; Poesio, P.
3
2007
On preconditioning of incompressible non-Newtonian flow problems. Zbl 1349.76011
He, Xin; Neytcheva, Maya; Vuik, Cornelis
3
2015
Stability analysis of the marching-on-in-time boundary element method for electromagnetics. Zbl 1336.78016
van ’t Wout, Elwin; van der Heul, Duncan R.; van der Ven, Harmen; Vuik, Cornelis
3
2016
Design of temporal basis functions for time domain integral equation methods with predefined accuracy and smoothness. Zbl 1370.78172
van ’t Wout, Elwin; van der Heul, Duncan R.; van der Ven, Harmen; Vuik, Cornelis
3
2013
Combining the augmented Lagrangian preconditioner with the simple Schur complement approximation. Zbl 1392.65053
He, Xin; Vuik, Cornelis; Klaij, Christiaan M.
3
2018
Scalable convergence using two-level deflation preconditioning for the Helmholtz equation. Zbl 1439.65139
Dwarka, Vandana; Vuik, Cornelis
3
2020
Toward a GPU-aware comparison of explicit and implicit CFD simulations on structured meshes. Zbl 1394.65141
Aissa, Mohamed; Verstraete, Tom; Vuik, Cornelis
3
2017
Branch switching techniques for bifurcation in soil deformation. Zbl 0967.74042
van der Veen, Hilda; Vuik, Kees; de Borst, René
3
2000
A staggered scheme for hyperbolic conservation laws applied to unsteady sheet cavitation. Zbl 1067.76583
van der Heul, D. R.; Vuik, C.; Wesseling, P.
3
1999
Comparison of ODE methods for laminar reacting gas flow simulations. Zbl 1159.76030
van Veldhuizen, S.; Vuik, C.; Kleijn, C. R.
2
2008
A level set method for three dimensional vector Stefan problems: dissolution of stoichiometric particles in multi-component alloys. Zbl 1125.80002
Javierre, E.; Vuik, C.; Vermolen, F. J.; Segal, A.
2
2007
A parallel block-preconditioned GCR method for incompressible flow problems. Zbl 1032.68811
Vuik, C.; Frank, J.; Segal, A.
2
2001
A comparison of some GMRES-like methods. Zbl 0785.65043
Vuik, C.
2
1992
Bi-Lanczos with partial orthogonalization. Zbl 0900.73941
van der Veen, H. I.; Vuik, K.
2
1995
Parallel implementation of a multiblock method with approximate subdomain solution. Zbl 0928.65046
Frank, J.; Vuik, C.
2
1999
Review on some Stefan problems for particle dissolution in solid metallic alloys. Zbl 1089.80002
Vermolen, F. J.; Vuik, C.; Javierre, E.; van der Zwaag, S.
2
2005
Modelling the new soil improvement method biogrout: extension to 3D. Zbl 1402.92466
van Wijngaarden, W. K.; Vermolen, F. J.; van Meurs, G. A. M.; Vuik, C.
2
2010
How to choose the shift in the shifted Laplace preconditioner for the Helmholtz equation combined with deflation. Zbl 1366.65094
Lahaye, D.; Vuik, C.
2
2017
Block-preconditioners for the incompressible Navier-Stokes equations discretized by a finite volume method. Zbl 1367.65050
He, Xin; Vuik, Cornelis; Klaij, Christiaan
2
2017
Comparison of some preconditioners for the incompressible Navier-Stokes equations. Zbl 1389.76016
He, X.; Vuik, C.
2
2016
Deflated and augmented global Krylov subspace methods for the matrix equations. Zbl 1329.65087
Ebadi, G.; Alipour, N.; Vuik, C.
2
2016
Various flow equations to model the new soil improvement method biogrout. Zbl 1451.74168
Van Wijngaarden, W. K.; Vermolen, F. J.; Van Meurs, G. A. M.; Vuik, C.
2
2013
Scalable two-level preconditioning and deflation based on a piecewise constant subspace for (SIP)DG systems for diffusion problems. Zbl 1297.65036
van Slingerland, P.; Vuik, C.
2
2015
A parallel linear solver exploiting the physical properties of the underlying mechanical problem. Zbl 1396.65155
Lingen, F. J.; Bonnier, P. G.; Brinkgreve, R. B. J.; van Gijzen, M. B.; Vuik, C.
2
2014
Solution of vector Stefan problems with cross-diffusion. Zbl 1107.80010
Vermolen, F. J.; Vuik, C.
2
2005
Fast pressure calculation for 2D and 3D time dependent incompressible flow. Zbl 1090.76520
van Kan, J.; Vuik, C.; Wesseling, P.
2
2000
On a class of preconditioners for solving the discrete Helmholtz equation. Zbl 1049.65111
Erlangga, Y. A.; Vuik, C.; Oosterlee, C. W.
2
2003
A staggered scheme for hyperbolic conservation laws applied to computation of flow with cavitation. Zbl 1064.76594
van der Heul, D. R.; Vuik, C.; Wesseling, P.
1
2001
The solution of a one-dimensional Stefan problem. Zbl 0793.35136
Vuik, C.
1
1993
The solution of a one-dimensional Stefan problem. Zbl 0797.35177
Vuik, C.
1
1993
Preconditioning Navier-Stokes control using multilevel sequentially semiseparable matrix computations. Zbl 07332762
Qiu, Yue; van Gijzen, Martin B.; van Wingerden, Jan-Willem; Verhaegen, Michel; Vuik, Cornelis
1
2021
Efficient \(p\)-multigrid based solvers for isogeometric analysis on multipatch geometries. Zbl 07390543
Tielen, Roel; Möller, Matthias; Vuik, Cornelis
1
2021
Accelerating the solution of linear systems appearing in two-phase reservoir simulation by the use of POD-based deflation methods. Zbl 1473.65035
Diaz Cortés, Gabriela Berenice; Vuik, Cornelis; Jansen, Jan-Dirk
1
2021
\(p\)-multigrid methods and their comparison to \(h\)-multigrid methods within isogeometric analysis. Zbl 07337843
Tielen, R.; Möller, M.; Göddeke, D.; Vuik, C.
4
2020
Scalable convergence using two-level deflation preconditioning for the Helmholtz equation. Zbl 1439.65139
Dwarka, Vandana; Vuik, Cornelis
3
2020
Smoothness-increasing accuracy-conserving (SIAC) filtering for discontinuous Galerkin solutions over nonuniform meshes: superconvergence and optimal accuracy. Zbl 1434.65187
Li, Xiaozhou; Ryan, Jennifer K.; Kirby, Robert M.; Vuik, Kees
4
2019
On a comparison of Newton-Raphson solvers for power flow problems. Zbl 1416.65147
Sereeter, Baljinnyam; Vuik, Cornelis; Witteveen, Cees
1
2019
Elliptic grid generation techniques in the framework of isogeometric analysis applications. Zbl 07038570
Hinz, J.; Möller, M.; Vuik, C.
10
2018
Algebraic dynamic multilevel method for embedded discrete fracture model (F-ADM). Zbl 1416.76151
HosseiniMehr, Mousa; Cusini, Matteo; Vuik, Cornelis; Hajibeygi, Hadi
8
2018
Global dynamics in the Leslie-Gower model with the Allee effect. Zbl 1404.34058
Gaiko, Valery A.; Vuik, Cornelis
6
2018
On POD-based deflation vectors for DPCG applied to porous media problems. Zbl 1432.76253
Diaz Cortes, G. B.; Vuik, C.; Jansen, J. D.
4
2018
Combining the augmented Lagrangian preconditioner with the simple Schur complement approximation. Zbl 1392.65053
He, Xin; Vuik, Cornelis; Klaij, Christiaan M.
3
2018
Evaluation of multilevel sequentially semiseparable preconditioners on computational fluid dynamics benchmark problems using incompressible flow and iterative solver software. Zbl 1386.65104
Qiu, Yue; van Gijzen, Martin B.; van Wingerden, Jan-Willem; Verhaegen, Michel; Vuik, Cornelis
1
2018
Modern solvers for Helmholtz problems. Zbl 1367.65005
9
2017
Toward a GPU-aware comparison of explicit and implicit CFD simulations on structured meshes. Zbl 1394.65141
Aissa, Mohamed; Verstraete, Tom; Vuik, Cornelis
3
2017
How to choose the shift in the shifted Laplace preconditioner for the Helmholtz equation combined with deflation. Zbl 1366.65094
Lahaye, D.; Vuik, C.
2
2017
Block-preconditioners for the incompressible Navier-Stokes equations discretized by a finite volume method. Zbl 1367.65050
He, Xin; Vuik, Cornelis; Klaij, Christiaan
2
2017
A mathematical model for the simulation of the contraction of burns. Zbl 1373.35319
Koppenol, Daniël C.; Vermolen, Fred J.; Koppenol-Gonzalez, Gabriela V.; Niessen, Frank B.; van Zuijlen, Paul P. M.; Vuik, Kees
1
2017
Efficient simulation of one-dimensional two-phase flow with a high-order \(h\)-adaptive space-time discontinuous Galerkin method. Zbl 1390.76388
van Zwieten, J. S. B.; Sanderse, B.; Hendrix, M. H. W.; Vuik, C.; Henkes, R. A. W. M.
1
2017
Meshless multi-point flux approximation. Zbl 1442.76086
Lukyanov, Alexander A.; Vuik, Cornelis
1
2017
Smoothness-increasing accuracy-conserving (SIAC) filters for derivative approximations of discontinuous Galerkin (DG) solutions over nonuniform meshes and near boundaries. Zbl 1327.65243
Li, X.; Ryan, J. K.; Kirby, R. M.; Vuik, C.
11
2016
Accelerating the shifted Laplace preconditioner for the Helmholtz equation by multilevel deflation. Zbl 1352.65456
Sheikh, A. H.; Lahaye, D.; Garcia Ramos, L.; Nabben, R.; Vuik, C.
11
2016
Stability analysis of the marching-on-in-time boundary element method for electromagnetics. Zbl 1336.78016
van ’t Wout, Elwin; van der Heul, Duncan R.; van der Ven, Harmen; Vuik, Cornelis
3
2016
Comparison of some preconditioners for the incompressible Navier-Stokes equations. Zbl 1389.76016
He, X.; Vuik, C.
2
2016
Deflated and augmented global Krylov subspace methods for the matrix equations. Zbl 1329.65087
Ebadi, G.; Alipour, N.; Vuik, C.
2
2016
A fully conservative mimetic discretization of the Navier-Stokes equations in cylindrical coordinates with associated singularity treatment. Zbl 1375.76114
Oud, G. T.; van der Heul, D. R.; Vuik, C.; Henkes, R. A. W. M.
1
2016
Reduction of computing time for least-squares migration based on the Helmholtz equation by graphics processing units. Zbl 1390.86008
Knibbe, H.; Vuik, C.; Oosterlee, C. W.
1
2016
The parallel subdomain-levelset deflation method in reservoir simulation. Zbl 1349.76658
van der Linden, J. H.; Jönsthövel, T. B.; Lukyanov, A. A.; Vuik, C.
1
2016
One-sided position-dependent smoothness-increasing accuracy-conserving (SIAC) filtering over uniform and non-uniform meshes. Zbl 1326.65135
Ryan, Jennifer K.; Li, Xiaozhou; Kirby, Robert M.; Vuik, Kees
10
2015
On preconditioning of incompressible non-Newtonian flow problems. Zbl 1349.76011
He, Xin; Neytcheva, Maya; Vuik, Cornelis
3
2015
Scalable two-level preconditioning and deflation based on a piecewise constant subspace for (SIP)DG systems for diffusion problems. Zbl 1297.65036
van Slingerland, P.; Vuik, C.
2
2015
On the convergence of inexact Newton methods. Zbl 1328.65120
Idema, Reijer; Lahaye, Domenico; Vuik, Cornelis
1
2015
Efficient preconditioners for PDE-constrained optimization problem with a multilevel sequentially semiseparable matrix structure. Zbl 1330.65168
Qiu, Yue; van Gijzen, Martin B.; van Wingerden, Jan-Willem; Verhaegen, Michel; Vuik, Cornelis
1
2015
Superconvergent error estimates for position-dependent smoothness-increasing accuracy-conserving (SIAC) post-processing of discontinuous Galerkin solutions. Zbl 1300.65066
Ji, Liangyue; van Slingerland, Paulien; Ryan, Jennifer K.; Vuik, Kees
10
2014
Fast linear solver for diffusion problems with applications to pressure computation in layered domains. Zbl 1386.65111
van Slingerland, P.; Vuik, C.
7
2014
A parallel linear solver exploiting the physical properties of the underlying mechanical problem. Zbl 1396.65155
Lingen, F. J.; Bonnier, P. G.; Brinkgreve, R. B. J.; van Gijzen, M. B.; Vuik, C.
2
2014
On the convergence of shifted Laplace preconditioner combined with multilevel deflation. Zbl 1313.65293
Sheikh, A. H.; Lahaye, D.; Vuik, C.
29
2013
On the use of rigid body modes in the deflated preconditioned conjugate gradient method. Zbl 1372.74017
Jönsthövel, T. B.; Van Gijzen, M. B.; Vuik, C.; Scarpas, A.
7
2013
Design of temporal basis functions for time domain integral equation methods with predefined accuracy and smoothness. Zbl 1370.78172
van ’t Wout, Elwin; van der Heul, Duncan R.; van der Ven, Harmen; Vuik, Cornelis
3
2013
Various flow equations to model the new soil improvement method biogrout. Zbl 1451.74168
Van Wijngaarden, W. K.; Vermolen, F. J.; Van Meurs, G. A. M.; Vuik, C.
2
2013
SIMPLE-type preconditioners for cell-centered, colocated finite volume discretization of incompressible Reynolds-averaged Navier-Stokes equations. Zbl 1430.76371
Klaij, C. M.; Vuik, C.
1
2013
The influence of the exact evaluation of radiation fields in finite precision arithmetic on the stability of the time domain integral equation method. Zbl 1370.78173
van ’t Wout, Elwin; van der Heul, Duncan R.; van der Ven, Harmen; Vuik, Cornelis
1
2013
Comparison of the deflated preconditioned conjugate gradient method and algebraic multigrid for composite materials. Zbl 1398.74345
Jönsthövel, T. B.; van Gijzen, M. B.; MacLachlan, S.; Vuik, C.; Scarpas, A.
3
2012
Position-dependent smoothness-increasing accuracy-conserving (SIAC) filtering for improving discontinuous Galerkin solutions. Zbl 1368.65197
van Slingerland, Paulien; Ryan, Jennifer K.; Vuik, C.
25
2011
On iterative methods for the incompressible Stokes problem. Zbl 1429.76073
ur Rehman, M.; Geenen, T.; Vuik, C.; Segal, G.; MacLachlan, S. P.
10
2011
GPU implementation of a Helmholtz Krylov solver preconditioned by a shifted Laplace multigrid method. Zbl 1228.65208
Knibbe, H.; Oosterlee, C. W.; Vuik, C.
7
2011
A comparison of two-level preconditioners based on multigrid and deflation. Zbl 1205.65143
Tang, J. M.; MacLachlan, S. P.; Nabben, R.; Vuik, C.
14
2010
Preconditioners for incompressible Navier-Stokes solvers. Zbl 1240.65098
Segal, A.; ur Rehman, M.; Vuik, C.
13
2010
Shifted-Laplacian preconditioners for heterogeneous Helmholtz problems. Zbl 1190.65183
Oosterlee, C. W.; Vuik, C.; Mulder, W. A.; Plessix, R.-E.
10
2010
Modelling the new soil improvement method biogrout: extension to 3D. Zbl 1402.92466
van Wijngaarden, W. K.; Vermolen, F. J.; van Meurs, G. A. M.; Vuik, C.
2
2010
A cut-cell finite-element method for a discontinuous switch model for wound closure. Zbl 1402.92135
Zemskov, S. V.; Vermolen, F. J.; Javierre, E.; Vuik, C.
1
2010
Advanced computational methods in science and engineering. Zbl 1181.68007
1
2010
On projected Newton-Krylov solvers for instationary laminar reacting gas flows. Zbl 1329.76304
van Veldhuizen, S.; Vuik, C.; Kleijn, C. R.
1
2010
Application of the shifted-Laplace preconditioner for iterative solution of a higher order finite element discretisation of the vector wave equation: first experiences. Zbl 1203.78044
Hooghiemstra, P. B.; van der Heul, D. R.; Vuik, C.
1
2010
Comparison of two-level preconditioners derived from deflation, domain decomposition and multigrid methods. Zbl 1203.65073
Tang, J. M.; Nabben, R.; Vuik, C.; Erlangga, Y. A.
44
2009
A mathematical analysis of physiological and morphological aspects of wound closure. Zbl 1232.92054
Javierre, E.; Vermolen, F. J.; Vuik, C.; van der Zwaag, S.
12
2009
SIMPLE-type preconditioners for the Oseen problem. Zbl 1171.76033
Ur Rehman, M.; Vuik, C.; Segal, G.
11
2009
Fast and robust solvers for pressure-correction in bubbly flow problems. Zbl 1317.76062
MacLachlan, S. P.; Tang, J. M.; Vuik, C.
16
2008
A comparison of preconditioners for incompressible Navier-Stokes solvers. Zbl 1262.76083
ur Rehman, M.; Vuik, C.; Segal, G.
14
2008
A comparison of abstract versions of deflation, balancing and additive coarse grid correction preconditioners. Zbl 1212.65121
Nabben, R.; Vuik, C.
7
2008
Preconditioners for the steady incompressible Navier-Stokes problem. Zbl 1229.76032
ur Rehman, M.; Vuik, C.; Segal, G.
4
2008
Numerical modelling of epidermal wound healing. Zbl 1153.92017
Javierre, E.; Vermolen, F. J.; Vuik, C.; van der Zwaag, S.
3
2008
Comparison of ODE methods for laminar reacting gas flow simulations. Zbl 1159.76030
van Veldhuizen, S.; Vuik, C.; Kleijn, C. R.
2
2008
Spectral analysis of the discrete Helmholtz operator preconditioned with a shifted Laplacian. Zbl 1155.65088
van Gijzen, M. B.; Erlangga, Y. A.; Vuik, C.
54
2007
A parallel multigrid-based preconditioner for the 3D heterogeneous high-frequency Helmholtz equation. Zbl 1120.65127
Riyanti, C. D.; Kononov, A.; Erlangga, Y. A.; Vuik, C.; Oosterlee, C. W.; Plessix, R.-E.; Mulder, W. A.
28
2007
On deflation and singular symmetric positive semi-definite matrices. Zbl 1125.65028
Tang, J. M.; Vuik, C.
9
2007
Efficient deflation methods applied to 3-D bubbly flow problems. Zbl 1391.76580
Tang, J. M.; Vuik, C.
8
2007
New variants of deflation techniques for pressure correction in bubbly flow problems. Zbl 1235.76043
Tang, J. M.; Vuik, C.
4
2007
Core-annular flow through a horizontal pipe: hydrodynamic counterbalancing of buoyancy force on core. Zbl 1182.76571
Ooms, G.; Vuik, C.; Poesio, P.
3
2007
A level set method for three dimensional vector Stefan problems: dissolution of stoichiometric particles in multi-component alloys. Zbl 1125.80002
Javierre, E.; Vuik, C.; Vermolen, F. J.; Segal, A.
2
2007
A novel multigrid based preconditioner for heterogeneous Helmholtz problems. Zbl 1095.65109
Erlangga, Y. A.; Oosterlee, C. W.; Vuik, C.
120
2006
Comparison of multigrid and incomplete LU shifted-Laplace preconditioners for the inhomogeneous Helmholtz equation. Zbl 1094.65041
Erlangga, Y. A.; Vuik, C.; Oosterlee, C. W.
43
2006
A comparison of numerical models for one-dimensional Stefan problems. Zbl 1092.65072
Javierre, E.; Vuik, C.; Vermolen, F. J.; van der Zwaag, S.
30
2006
A comparison of deflation and the balancing preconditioner. Zbl 1105.65049
Nabben, R.; Vuik, C.
17
2006
Numerical methods for reacting gas flow simulations. Zbl 1155.76417
van Veldhuizen, S.; Vuik, C.; Kleijn, C. R.
3
2006
A mass-conserving level-set method for modelling of multi-phase flows. Zbl 1065.76160
van der Pijl, S. P.; Segal, A.; Vuik, C.; Wesseling, P.
70
2005
Review on some Stefan problems for particle dissolution in solid metallic alloys. Zbl 1089.80002
Vermolen, F. J.; Vuik, C.; Javierre, E.; van der Zwaag, S.
2
2005
Solution of vector Stefan problems with cross-diffusion. Zbl 1107.80010
Vermolen, F. J.; Vuik, C.
2
2005
The deflation accelerated Schwarz method for CFD. Zbl 1129.76347
Verkaik, J.; Vuik, C.; Paarhuis, B. D.; Twerda, A.
1
2005
On a class of preconditioners for solving the Helmholtz equation. Zbl 1051.65101
Erlangga, Y. A.; Vuik, C.; Oosterlee, C. W.
101
2004
A comparison of deflation and coarse grid correction applied to porous media flow. Zbl 1146.76658
Nabben, R.; Vuik, C.
23
2004
Eigenvalue analysis of the SIMPLE preconditioning for incompressible flow. Zbl 1164.65398
Li, Chun Guang; Vuik, C.
11
2004
Deflation in preconditional conjugate gradient methods for finite element problems. Zbl 1069.65129
Vermolen, Fred; Vuik, Kees; Segal, Guus
5
2004
Modeling of multi-phase flows with a level-set method. Zbl 1216.76057
van der Pijl, Sander P.; Segal, A.; Vuik, C.
1
2004
A conservative pressure-correction method for flow at all speeds. Zbl 1046.76033
van der Heul, D. R.; Vuik, C.; Wesseling, P.
49
2003
On a class of preconditioners for solving the discrete Helmholtz equation. Zbl 1049.65111
Erlangga, Y. A.; Vuik, C.; Oosterlee, C. W.
2
2003
A conservative pressure-correction method for the Euler and ideal MHD equations at all speeds. Zbl 1042.76046
van der Heul, D. R.; Vuik, C.; Wesseling, P.
10
2002
A comparison of various deflation vectors applied to elliptic problems with discontinuous coefficients. Zbl 1143.65396
Vuik, C.; Segal, A.; El Yaakoubi, L.; Dufour, E.
3
2002
On the construction of deflation-based preconditioners. Zbl 0997.65072
Frank, J.; Vuik, C.
30
2001
The construction of projection vectors for a deflated ICCG method applied to problems with extreme contrasts in the coefficients. Zbl 1043.76039
Vuik, C.; Segal, A.; Meijerink, J. A.; Wijma, G. T.
11
2001
Stability analysis of segregated solution methods for compressible flow. Zbl 1017.76065
van der Heul, D. R.; Vuik, C.; Wesseling, P.
8
2001
A parallel block-preconditioned GCR method for incompressible flow problems. Zbl 1032.68811
Vuik, C.; Frank, J.; Segal, A.
2
2001
A staggered scheme for hyperbolic conservation laws applied to computation of flow with cavitation. Zbl 1064.76594
van der Heul, D. R.; Vuik, C.; Wesseling, P.
1
2001
The Krylov accelerated SIMPLE(R) method for flow problems in industrial furnaces. Zbl 0960.76054
Vuik, C.; Saghir, A.; Boerstoel, G. P.
19
2000
A mathematical model for the dissolution of particlesin multi-component alloys. Zbl 0974.65082
Vermolen, F. J.; Vuik, C.
6
2000
A conserving discretization for a Stefan problem with an interface reaction at the free boundary. Zbl 1060.35535
Vuik, C.; Segal, A.; Vermolen, F. J.
4
2000
Branch switching techniques for bifurcation in soil deformation. Zbl 0967.74042
van der Veen, Hilda; Vuik, Kees; de Borst, René
3
2000
Fast pressure calculation for 2D and 3D time dependent incompressible flow. Zbl 1090.76520
van Kan, J.; Vuik, C.; Wesseling, P.
2
2000
An efficient preconditioned CG method for the solution of a class of layered problems with extreme contrasts in the coefficients. Zbl 0945.76048
Vuik, C.; Segal, A.; Meijerink, J. A.
40
1999
A staggered scheme for hyperbolic conservation laws applied to unsteady sheet cavitation. Zbl 1067.76583
van der Heul, D. R.; Vuik, C.; Wesseling, P.
3
1999
...and 24 more Documents
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Cited by 1,483 Authors

65 Vuik, Cornelis
17 Ryan, Jennifer K.
14 Vermolen, Fred J.
12 Van Gijzen, Martin Bastiaan
10 MacLachlan, Scott P.
9 Nabben, Reinhard
9 Spence, Euan A.
8 Oosterlee, Cornelis Willebrordus
7 Graham, Ivan G.
7 Möller, Matthias
7 Nataf, Frédéric
7 Vanroose, Wim
7 Wu, Tingting
6 Deparis, Simone
6 Erlangga, Yogi A.
6 Gander, Martin Jakob
6 Javierre, E.
6 Quarteroni, Alfio M.
6 Saad, Yousef
6 Sussman, Mark
6 Toivanen, Jari
5 Chen, Zhongying
5 Dick, Erik
5 Dolean, Victorita
5 García Ramos, Luis
5 Gratton, Serge
5 Hachem, Elie
5 Latché, Jean-Claude
5 Li, Xiaozhou
5 Majumder, Papri
5 Segal, Guus
5 Sleijpen, Gerard L. G.
5 Tournier, Pierre-Henri
5 Tuminaro, Ray S.
5 Vasseur, Xavier
4 Bücker, H. Martin
4 Cools, Siegfried
4 Dautov, Rafail Z.
4 Dimarco, Giacomo
4 Du, Kui
4 Elman, Howard C.
4 Geuzaine, Christophe A.
4 Giraud, Luc
4 Heikkola, Erkki
4 Herbin, Raphaèle
4 Hinz, Jochen
4 Huang, Ting-Zhu
4 Hussaini, M. Yousuff
4 Jolivet, Pierre
4 Langou, Julien
4 Liang, Zhaozheng
4 Loubère, Raphaël
4 Manzoni, Andrea
4 Morgan, Ronald B.
4 Pan, Kejia
4 Pennanen, Anssi
4 Tang, Jok M.
4 Tanguy, Sébastien
4 Tielen, Roel
4 Turkel, Eli L.
4 Vierendeels, Jan
4 Xu, Xuejun
4 Zhang, Guofeng
4 Zijlema, Marcel
3 Airaksinen, Tuomas
3 Aksoylu, Burak
3 Aubry, Romain
3 Baumann, Manuel
3 Bischof, Christian H.
3 Boersma, Bendiks Jan
3 Boudouvis, Andreas G.
3 Caboussat, Alexandre
3 Cheng, Dongsheng
3 Clain, Stéphane Louis
3 Clemens, Markus
3 Cocquet, Pierre-Henri
3 Cyr, Eric C.
3 Daas, Hussam Al
3 Dal Santo, Niccolò
3 Dastour, Hatef
3 de Sturler, Eric
3 Denner, Fabian
3 Egidi, Nadaniela
3 Gallouët, Thierry
3 Ganesh, Mahadevan
3 Gravvanis, George A.
3 Grigori, Laura
3 Gudi, Thirupathi
3 Haber, Eldad
3 Herrmann, Marcus
3 Il’in, Valeriĭ Pavlovich
3 Ito, Kazufumi
3 Jacobs, Gustaaf B.
3 Jansen, Jan-Dirk
3 Ji, Liangyue
3 Kadioglu, Samet Y.
3 Kassels, C. G. M.
3 Kehl, René
3 Klaij, Christiaan M.
3 Klawonn, Axel
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Cited in 138 Serials

146 Journal of Computational Physics
60 Journal of Computational and Applied Mathematics
52 SIAM Journal on Scientific Computing
39 Computers and Fluids
38 Computer Methods in Applied Mechanics and Engineering
31 Journal of Scientific Computing
29 Applied Numerical Mathematics
28 Numerical Linear Algebra with Applications
27 Computers & Mathematics with Applications
22 International Journal for Numerical Methods in Fluids
20 Applied Mathematics and Computation
15 International Journal for Numerical Methods in Engineering
12 Computational Geosciences
10 Engineering Analysis with Boundary Elements
8 Numerische Mathematik
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8 Numerical Algorithms
7 BIT
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7 SIAM Journal on Matrix Analysis and Applications
7 International Journal of Computer Mathematics
7 Advances in Computational Mathematics
6 Mathematics of Computation
6 Linear Algebra and its Applications
6 Journal of Theoretical Biology
5 Applied Mathematical Modelling
5 International Journal of Numerical Methods for Heat & Fluid Flow
5 ETNA. Electronic Transactions on Numerical Analysis
5 International Journal of Computational Fluid Dynamics
5 Archives of Computational Methods in Engineering
5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
4 International Journal of Heat and Mass Transfer
4 Journal of Mathematical Biology
4 SIAM Journal on Numerical Analysis
4 Applications of Mathematics
4 Communications in Numerical Methods in Engineering
4 Computational and Applied Mathematics
4 Computing and Visualization in Science
4 Computational Methods in Applied Mathematics
3 Computer Aided Geometric Design
3 Japan Journal of Industrial and Applied Mathematics
3 Journal of Mathematical Sciences (New York)
3 Mathematical Problems in Engineering
3 Lobachevskii Journal of Mathematics
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3 Journal of Applied Mathematics
3 Acta Mechanica Sinica
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2 Computer Physics Communications
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2 Bulletin of Mathematical Biology
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2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 SIAM Review
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2 Physics of Fluids
2 Russian Journal of Numerical Analysis and Mathematical Modelling
2 Journal of Inequalities and Applications
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 European Journal of Mechanics. B. Fluids
2 Optimization and Engineering
2 Journal of Modern Optics
2 Journal of Applied Mathematics and Computing
2 International Journal of Computational Methods
2 Acta Numerica
2 International Journal for Numerical Methods in Biomedical Engineering
1 Modern Physics Letters B
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1 Acta Mechanica
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1 Rocky Mountain Journal of Mathematics
1 Wave Motion
1 The Annals of Probability
1 Computing
1 Numerical Functional Analysis and Optimization
1 Systems & Control Letters
1 Acta Applicandae Mathematicae
1 Parallel Computing
1 Numerical Methods for Partial Differential Equations
1 Science in China. Series A
1 European Journal of Applied Mathematics
1 Computational Mathematics and Modeling
1 The Journal of Supercomputing
1 Computational Mathematics and Mathematical Physics
1 European Journal of Operational Research
1 SIAM Journal on Mathematical Analysis
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