Edit Profile (opens in new tab) Vuik, Cornelis Compute Distance To: Compute Author ID: vuik.c Published as: Vuik, C.; Vuik, Cornelis; Vuik, Kees; Vuik, K. more...less Homepage: http://ta.twi.tudelft.nl/nw/users/vuik/ External Links: MGP · ORCID · dblp Documents Indexed: 163 Publications since 1985, including 1 Book 4 Contributions as Editor Co-Authors: 130 Co-Authors with 146 Joint Publications 1,453 Co-Co-Authors 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 all top 5 Fields 108 Numerical analysis (65-XX) 67 Fluid mechanics (76-XX) 45 Partial differential equations (35-XX) 19 Classical thermodynamics, heat transfer (80-XX) 13 Mechanics of deformable solids (74-XX) 9 Biology and other natural sciences (92-XX) 7 Geophysics (86-XX) 6 Computer science (68-XX) 4 General and overarching topics; collections (00-XX) 4 History and biography (01-XX) 4 Optics, electromagnetic theory (78-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Operations research, mathematical programming (90-XX) 2 Ordinary differential equations (34-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX) 1 Statistics (62-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications 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 1095.65109Erlangga, Y. A.; Oosterlee, C. W.; Vuik, C. 120 2006 On a class of preconditioners for solving the Helmholtz equation. Zbl 1051.65101Erlangga, Y. A.; Vuik, C.; Oosterlee, C. W. 101 2004 GMRESR: A family of nested GMRES methods. Zbl 0839.65040Van der Vorst, H. A.; Vuik, C. 72 1994 A mass-conserving level-set method for modelling of multi-phase flows. Zbl 1065.76160van 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 1155.65088van Gijzen, M. B.; Erlangga, Y. A.; Vuik, C. 54 2007 A conservative pressure-correction method for flow at all speeds. Zbl 1046.76033van der Heul, D. R.; Vuik, C.; Wesseling, P. 49 2003 The superlinear convergence behaviour of GMRES. Zbl 0797.65026Van der Vorst, H. A.; Vuik, C. 47 1993 Comparison of two-level preconditioners derived from deflation, domain decomposition and multigrid methods. Zbl 1203.65073Tang, 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 1094.65041Erlangga, 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 0945.76048Vuik, C.; Segal, A.; Meijerink, J. A. 40 1999 On the construction of deflation-based preconditioners. Zbl 0997.65072Frank, J.; Vuik, C. 30 2001 A comparison of numerical models for one-dimensional Stefan problems. Zbl 1092.65072Javierre, E.; Vuik, C.; Vermolen, F. J.; van der Zwaag, S. 30 2006 On the convergence of shifted Laplace preconditioner combined with multilevel deflation. Zbl 1313.65293Sheikh, A. H.; Lahaye, D.; Vuik, C. 29 2013 A parallel multigrid-based preconditioner for the 3D heterogeneous high-frequency Helmholtz equation. Zbl 1120.65127Riyanti, 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 0696.65069Vuik, C. 25 1990 Position-dependent smoothness-increasing accuracy-conserving (SIAC) filtering for improving discontinuous Galerkin solutions. Zbl 1368.65197van Slingerland, Paulien; Ryan, Jennifer K.; Vuik, C. 25 2011 A comparison of deflation and coarse grid correction applied to porous media flow. Zbl 1146.76658Nabben, R.; Vuik, C. 23 2004 The Krylov accelerated SIMPLE(R) method for flow problems in industrial furnaces. Zbl 0960.76054Vuik, C.; Saghir, A.; Boerstoel, G. P. 19 2000 A comparison of deflation and the balancing preconditioner. Zbl 1105.65049Nabben, R.; Vuik, C. 17 2006 Fast and robust solvers for pressure-correction in bubbly flow problems. Zbl 1317.76062MacLachlan, S. P.; Tang, J. M.; Vuik, C. 16 2008 A conserving discretization for the free boundary in a two-dimensional Stefan problem. Zbl 0931.65100Segal, Guus; Vuik, Kees; Vermolen, Fred 15 1998 A comparison of preconditioners for incompressible Navier-Stokes solvers. Zbl 1262.76083ur Rehman, M.; Vuik, C.; Segal, G. 14 2008 A comparison of two-level preconditioners based on multigrid and deflation. Zbl 1205.65143Tang, J. M.; MacLachlan, S. P.; Nabben, R.; Vuik, C. 14 2010 Preconditioners for incompressible Navier-Stokes solvers. Zbl 1240.65098Segal, A.; ur Rehman, M.; Vuik, C. 13 2010 A comparison of some GMRES-like methods. Zbl 0749.65027Vuik, C.; Van der Vorst, H. A. 12 1992 Solution of the discretized incompressible Navier-Stokes equations with the GMRES method. Zbl 0825.76552Vuik, C. 12 1993 A mathematical analysis of physiological and morphological aspects of wound closure. Zbl 1232.92054Javierre, E.; Vermolen, F. J.; Vuik, C.; van der Zwaag, S. 12 2009 Eigenvalue analysis of the SIMPLE preconditioning for incompressible flow. Zbl 1164.65398Li, 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 1043.76039Vuik, C.; Segal, A.; Meijerink, J. A.; Wijma, G. T. 11 2001 SIMPLE-type preconditioners for the Oseen problem. Zbl 1171.76033Ur Rehman, M.; Vuik, C.; Segal, G. 11 2009 New insights in GMRES-like methods with variable preconditioners. Zbl 0844.65021Vuik, C. 11 1995 Smoothness-increasing accuracy-conserving (SIAC) filters for derivative approximations of discontinuous Galerkin (DG) solutions over nonuniform meshes and near boundaries. Zbl 1327.65243Li, X.; Ryan, J. K.; Kirby, R. M.; Vuik, C. 11 2016 Accelerating the shifted Laplace preconditioner for the Helmholtz equation by multilevel deflation. Zbl 1352.65456Sheikh, A. H.; Lahaye, D.; Garcia Ramos, L.; Nabben, R.; Vuik, C. 11 2016 Numerical solution of an etching problem. Zbl 0586.65085Vuik, C.; Cuvelier, C. 10 1985 Some historical notes on the Stefan problem. Zbl 0801.35002Vuik, C. 10 1993 A conservative pressure-correction method for the Euler and ideal MHD equations at all speeds. Zbl 1042.76046van der Heul, D. R.; Vuik, C.; Wesseling, P. 10 2002 Elliptic grid generation techniques in the framework of isogeometric analysis applications. Zbl 07038570Hinz, J.; Möller, M.; Vuik, C. 10 2018 On iterative methods for the incompressible Stokes problem. Zbl 1429.76073ur Rehman, M.; Geenen, T.; Vuik, C.; Segal, G.; MacLachlan, S. P. 10 2011 Shifted-Laplacian preconditioners for heterogeneous Helmholtz problems. Zbl 1190.65183Oosterlee, 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 1326.65135Ryan, 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 1300.65066Ji, Liangyue; van Slingerland, Paulien; Ryan, Jennifer K.; Vuik, Kees 10 2014 Fast iterative solvers for the discretized incompressible Navier-Stokes equations. Zbl 0863.76061Vuik, C. 9 1996 On deflation and singular symmetric positive semi-definite matrices. Zbl 1125.65028Tang, 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 1017.76065van der Heul, D. R.; Vuik, C.; Wesseling, P. 8 2001 Efficient deflation methods applied to 3-D bubbly flow problems. Zbl 1391.76580Tang, J. M.; Vuik, C. 8 2007 Algebraic dynamic multilevel method for embedded discrete fracture model (F-ADM). Zbl 1416.76151HosseiniMehr, Mousa; Cusini, Matteo; Vuik, Cornelis; Hajibeygi, Hadi 8 2018 A comparison of abstract versions of deflation, balancing and additive coarse grid correction preconditioners. Zbl 1212.65121Nabben, R.; Vuik, C. 7 2008 On the use of rigid body modes in the deflated preconditioned conjugate gradient method. Zbl 1372.74017Jönsthövel, 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 1228.65208Knibbe, H.; Oosterlee, C. W.; Vuik, C. 7 2011 Fast linear solver for diffusion problems with applications to pressure computation in layered domains. Zbl 1386.65111van Slingerland, P.; Vuik, C. 7 2014 How fast the Laplace equation was solved in 1995. Zbl 0891.65112Botta, 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 0915.76063Brakkee, E.; Vuik, C.; Wesseling, P. 6 1998 Numerical solution of the incompressible Navier-Stokes equations by Krylov subspace and multigrid methods. Zbl 0827.76069Zeng, S.; Vuik, C.; Wesseling, P. 6 1995 A mathematical model for the dissolution of particlesin multi-component alloys. Zbl 0974.65082Vermolen, F. J.; Vuik, C. 6 2000 Global dynamics in the Leslie-Gower model with the Allee effect. Zbl 1404.34058Gaiko, Valery A.; Vuik, Cornelis 6 2018 On the implementation of symmetric and antisymmetric periodic boundary conditions for incompressible flow. Zbl 0807.76041Segal, Guus; Vuik, Kees; Kassels, Kees 5 1994 Deflation in preconditional conjugate gradient methods for finite element problems. Zbl 1069.65129Vermolen, Fred; Vuik, Kees; Segal, Guus 5 2004 New variants of deflation techniques for pressure correction in bubbly flow problems. Zbl 1235.76043Tang, J. M.; Vuik, C. 4 2007 Preconditioners for the steady incompressible Navier-Stokes problem. Zbl 1229.76032ur 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 1434.65187Li, Xiaozhou; Ryan, Jennifer K.; Kirby, Robert M.; Vuik, Kees 4 2019 On POD-based deflation vectors for DPCG applied to porous media problems. Zbl 1432.76253Diaz 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 1060.35535Vuik, C.; Segal, A.; Vermolen, F. J. 4 2000 \(p\)-multigrid methods and their comparison to \(h\)-multigrid methods within isogeometric analysis. Zbl 07337843Tielen, R.; Möller, M.; Göddeke, D.; Vuik, C. 4 2020 Comparison of the deflated preconditioned conjugate gradient method and algebraic multigrid for composite materials. Zbl 1398.74345Jönsthövel, 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 1143.65396Vuik, C.; Segal, A.; El Yaakoubi, L.; Dufour, E. 3 2002 Computing incompressible flows in general domains. Zbl 0873.76055Wesseling, 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 0932.80004Vermolen, Fred; Vuik, Kees 3 1998 Numerical methods for reacting gas flow simulations. Zbl 1155.76417van Veldhuizen, S.; Vuik, C.; Kleijn, C. R. 3 2006 Numerical modelling of epidermal wound healing. Zbl 1153.92017Javierre, 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 1182.76571Ooms, G.; Vuik, C.; Poesio, P. 3 2007 On preconditioning of incompressible non-Newtonian flow problems. Zbl 1349.76011He, Xin; Neytcheva, Maya; Vuik, Cornelis 3 2015 Stability analysis of the marching-on-in-time boundary element method for electromagnetics. Zbl 1336.78016van ’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 1370.78172van ’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 1392.65053He, Xin; Vuik, Cornelis; Klaij, Christiaan M. 3 2018 Scalable convergence using two-level deflation preconditioning for the Helmholtz equation. Zbl 1439.65139Dwarka, Vandana; Vuik, Cornelis 3 2020 Toward a GPU-aware comparison of explicit and implicit CFD simulations on structured meshes. Zbl 1394.65141Aissa, Mohamed; Verstraete, Tom; Vuik, Cornelis 3 2017 Branch switching techniques for bifurcation in soil deformation. Zbl 0967.74042van der Veen, Hilda; Vuik, Kees; de Borst, René 3 2000 A staggered scheme for hyperbolic conservation laws applied to unsteady sheet cavitation. Zbl 1067.76583van der Heul, D. R.; Vuik, C.; Wesseling, P. 3 1999 Comparison of ODE methods for laminar reacting gas flow simulations. Zbl 1159.76030van 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 1125.80002Javierre, E.; Vuik, C.; Vermolen, F. J.; Segal, A. 2 2007 A parallel block-preconditioned GCR method for incompressible flow problems. Zbl 1032.68811Vuik, C.; Frank, J.; Segal, A. 2 2001 A comparison of some GMRES-like methods. Zbl 0785.65043Vuik, C. 2 1992 Bi-Lanczos with partial orthogonalization. Zbl 0900.73941van der Veen, H. I.; Vuik, K. 2 1995 Parallel implementation of a multiblock method with approximate subdomain solution. Zbl 0928.65046Frank, J.; Vuik, C. 2 1999 Review on some Stefan problems for particle dissolution in solid metallic alloys. Zbl 1089.80002Vermolen, F. J.; Vuik, C.; Javierre, E.; van der Zwaag, S. 2 2005 Modelling the new soil improvement method biogrout: extension to 3D. Zbl 1402.92466van 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 1366.65094Lahaye, D.; Vuik, C. 2 2017 Block-preconditioners for the incompressible Navier-Stokes equations discretized by a finite volume method. Zbl 1367.65050He, Xin; Vuik, Cornelis; Klaij, Christiaan 2 2017 Comparison of some preconditioners for the incompressible Navier-Stokes equations. Zbl 1389.76016He, X.; Vuik, C. 2 2016 Deflated and augmented global Krylov subspace methods for the matrix equations. Zbl 1329.65087Ebadi, G.; Alipour, N.; Vuik, C. 2 2016 Various flow equations to model the new soil improvement method biogrout. Zbl 1451.74168Van 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 1297.65036van Slingerland, P.; Vuik, C. 2 2015 A parallel linear solver exploiting the physical properties of the underlying mechanical problem. Zbl 1396.65155Lingen, 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 1107.80010Vermolen, F. J.; Vuik, C. 2 2005 Fast pressure calculation for 2D and 3D time dependent incompressible flow. Zbl 1090.76520van Kan, J.; Vuik, C.; Wesseling, P. 2 2000 On a class of preconditioners for solving the discrete Helmholtz equation. Zbl 1049.65111Erlangga, Y. A.; Vuik, C.; Oosterlee, C. W. 2 2003 A staggered scheme for hyperbolic conservation laws applied to computation of flow with cavitation. Zbl 1064.76594van der Heul, D. R.; Vuik, C.; Wesseling, P. 1 2001 The solution of a one-dimensional Stefan problem. Zbl 0793.35136Vuik, C. 1 1993 The solution of a one-dimensional Stefan problem. Zbl 0797.35177Vuik, C. 1 1993 Preconditioning Navier-Stokes control using multilevel sequentially semiseparable matrix computations. Zbl 07332762Qiu, 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 07390543Tielen, 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 1473.65035Diaz Cortés, Gabriela Berenice; Vuik, Cornelis; Jansen, Jan-Dirk 1 2021 \(p\)-multigrid methods and their comparison to \(h\)-multigrid methods within isogeometric analysis. Zbl 07337843Tielen, R.; Möller, M.; Göddeke, D.; Vuik, C. 4 2020 Scalable convergence using two-level deflation preconditioning for the Helmholtz equation. Zbl 1439.65139Dwarka, Vandana; Vuik, Cornelis 3 2020 Smoothness-increasing accuracy-conserving (SIAC) filtering for discontinuous Galerkin solutions over nonuniform meshes: superconvergence and optimal accuracy. Zbl 1434.65187Li, Xiaozhou; Ryan, Jennifer K.; Kirby, Robert M.; Vuik, Kees 4 2019 On a comparison of Newton-Raphson solvers for power flow problems. Zbl 1416.65147Sereeter, Baljinnyam; Vuik, Cornelis; Witteveen, Cees 1 2019 Elliptic grid generation techniques in the framework of isogeometric analysis applications. Zbl 07038570Hinz, J.; Möller, M.; Vuik, C. 10 2018 Algebraic dynamic multilevel method for embedded discrete fracture model (F-ADM). Zbl 1416.76151HosseiniMehr, Mousa; Cusini, Matteo; Vuik, Cornelis; Hajibeygi, Hadi 8 2018 Global dynamics in the Leslie-Gower model with the Allee effect. Zbl 1404.34058Gaiko, Valery A.; Vuik, Cornelis 6 2018 On POD-based deflation vectors for DPCG applied to porous media problems. Zbl 1432.76253Diaz Cortes, G. B.; Vuik, C.; Jansen, J. D. 4 2018 Combining the augmented Lagrangian preconditioner with the simple Schur complement approximation. Zbl 1392.65053He, 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 1386.65104Qiu, 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 1394.65141Aissa, 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 1366.65094Lahaye, D.; Vuik, C. 2 2017 Block-preconditioners for the incompressible Navier-Stokes equations discretized by a finite volume method. Zbl 1367.65050He, Xin; Vuik, Cornelis; Klaij, Christiaan 2 2017 A mathematical model for the simulation of the contraction of burns. Zbl 1373.35319Koppenol, 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 1390.76388van 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 1442.76086Lukyanov, 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 1327.65243Li, X.; Ryan, J. K.; Kirby, R. M.; Vuik, C. 11 2016 Accelerating the shifted Laplace preconditioner for the Helmholtz equation by multilevel deflation. Zbl 1352.65456Sheikh, 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 1336.78016van ’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 1389.76016He, X.; Vuik, C. 2 2016 Deflated and augmented global Krylov subspace methods for the matrix equations. Zbl 1329.65087Ebadi, 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 1375.76114Oud, 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 1390.86008Knibbe, H.; Vuik, C.; Oosterlee, C. W. 1 2016 The parallel subdomain-levelset deflation method in reservoir simulation. Zbl 1349.76658van 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 1326.65135Ryan, Jennifer K.; Li, Xiaozhou; Kirby, Robert M.; Vuik, Kees 10 2015 On preconditioning of incompressible non-Newtonian flow problems. Zbl 1349.76011He, 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 1297.65036van Slingerland, P.; Vuik, C. 2 2015 On the convergence of inexact Newton methods. Zbl 1328.65120Idema, Reijer; Lahaye, Domenico; Vuik, Cornelis 1 2015 Efficient preconditioners for PDE-constrained optimization problem with a multilevel sequentially semiseparable matrix structure. Zbl 1330.65168Qiu, 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 1300.65066Ji, 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 1386.65111van Slingerland, P.; Vuik, C. 7 2014 A parallel linear solver exploiting the physical properties of the underlying mechanical problem. Zbl 1396.65155Lingen, 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 1313.65293Sheikh, A. H.; Lahaye, D.; Vuik, C. 29 2013 On the use of rigid body modes in the deflated preconditioned conjugate gradient method. Zbl 1372.74017Jönsthövel, 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 1370.78172van ’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 1451.74168Van 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 1430.76371Klaij, 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 1370.78173van ’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 1398.74345Jönsthövel, 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 1368.65197van Slingerland, Paulien; Ryan, Jennifer K.; Vuik, C. 25 2011 On iterative methods for the incompressible Stokes problem. Zbl 1429.76073ur 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 1228.65208Knibbe, H.; Oosterlee, C. W.; Vuik, C. 7 2011 A comparison of two-level preconditioners based on multigrid and deflation. Zbl 1205.65143Tang, J. M.; MacLachlan, S. P.; Nabben, R.; Vuik, C. 14 2010 Preconditioners for incompressible Navier-Stokes solvers. Zbl 1240.65098Segal, A.; ur Rehman, M.; Vuik, C. 13 2010 Shifted-Laplacian preconditioners for heterogeneous Helmholtz problems. Zbl 1190.65183Oosterlee, C. W.; Vuik, C.; Mulder, W. A.; Plessix, R.-E. 10 2010 Modelling the new soil improvement method biogrout: extension to 3D. Zbl 1402.92466van 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 1402.92135Zemskov, 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 1329.76304van 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 1203.78044Hooghiemstra, 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 1203.65073Tang, J. M.; Nabben, R.; Vuik, C.; Erlangga, Y. A. 44 2009 A mathematical analysis of physiological and morphological aspects of wound closure. Zbl 1232.92054Javierre, E.; Vermolen, F. J.; Vuik, C.; van der Zwaag, S. 12 2009 SIMPLE-type preconditioners for the Oseen problem. Zbl 1171.76033Ur Rehman, M.; Vuik, C.; Segal, G. 11 2009 Fast and robust solvers for pressure-correction in bubbly flow problems. Zbl 1317.76062MacLachlan, S. P.; Tang, J. M.; Vuik, C. 16 2008 A comparison of preconditioners for incompressible Navier-Stokes solvers. Zbl 1262.76083ur Rehman, M.; Vuik, C.; Segal, G. 14 2008 A comparison of abstract versions of deflation, balancing and additive coarse grid correction preconditioners. Zbl 1212.65121Nabben, R.; Vuik, C. 7 2008 Preconditioners for the steady incompressible Navier-Stokes problem. Zbl 1229.76032ur Rehman, M.; Vuik, C.; Segal, G. 4 2008 Numerical modelling of epidermal wound healing. Zbl 1153.92017Javierre, E.; Vermolen, F. J.; Vuik, C.; van der Zwaag, S. 3 2008 Comparison of ODE methods for laminar reacting gas flow simulations. Zbl 1159.76030van Veldhuizen, S.; Vuik, C.; Kleijn, C. R. 2 2008 Spectral analysis of the discrete Helmholtz operator preconditioned with a shifted Laplacian. Zbl 1155.65088van Gijzen, M. B.; Erlangga, Y. A.; Vuik, C. 54 2007 A parallel multigrid-based preconditioner for the 3D heterogeneous high-frequency Helmholtz equation. Zbl 1120.65127Riyanti, 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 1125.65028Tang, J. M.; Vuik, C. 9 2007 Efficient deflation methods applied to 3-D bubbly flow problems. Zbl 1391.76580Tang, J. M.; Vuik, C. 8 2007 New variants of deflation techniques for pressure correction in bubbly flow problems. Zbl 1235.76043Tang, J. M.; Vuik, C. 4 2007 Core-annular flow through a horizontal pipe: hydrodynamic counterbalancing of buoyancy force on core. Zbl 1182.76571Ooms, 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 1125.80002Javierre, E.; Vuik, C.; Vermolen, F. J.; Segal, A. 2 2007 A novel multigrid based preconditioner for heterogeneous Helmholtz problems. Zbl 1095.65109Erlangga, Y. A.; Oosterlee, C. W.; Vuik, C. 120 2006 Comparison of multigrid and incomplete LU shifted-Laplace preconditioners for the inhomogeneous Helmholtz equation. Zbl 1094.65041Erlangga, Y. A.; Vuik, C.; Oosterlee, C. W. 43 2006 A comparison of numerical models for one-dimensional Stefan problems. Zbl 1092.65072Javierre, E.; Vuik, C.; Vermolen, F. J.; van der Zwaag, S. 30 2006 A comparison of deflation and the balancing preconditioner. Zbl 1105.65049Nabben, R.; Vuik, C. 17 2006 Numerical methods for reacting gas flow simulations. Zbl 1155.76417van Veldhuizen, S.; Vuik, C.; Kleijn, C. R. 3 2006 A mass-conserving level-set method for modelling of multi-phase flows. Zbl 1065.76160van 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 1089.80002Vermolen, F. J.; Vuik, C.; Javierre, E.; van der Zwaag, S. 2 2005 Solution of vector Stefan problems with cross-diffusion. Zbl 1107.80010Vermolen, F. J.; Vuik, C. 2 2005 The deflation accelerated Schwarz method for CFD. Zbl 1129.76347Verkaik, J.; Vuik, C.; Paarhuis, B. D.; Twerda, A. 1 2005 On a class of preconditioners for solving the Helmholtz equation. Zbl 1051.65101Erlangga, Y. A.; Vuik, C.; Oosterlee, C. W. 101 2004 A comparison of deflation and coarse grid correction applied to porous media flow. Zbl 1146.76658Nabben, R.; Vuik, C. 23 2004 Eigenvalue analysis of the SIMPLE preconditioning for incompressible flow. Zbl 1164.65398Li, Chun Guang; Vuik, C. 11 2004 Deflation in preconditional conjugate gradient methods for finite element problems. Zbl 1069.65129Vermolen, Fred; Vuik, Kees; Segal, Guus 5 2004 Modeling of multi-phase flows with a level-set method. Zbl 1216.76057van der Pijl, Sander P.; Segal, A.; Vuik, C. 1 2004 A conservative pressure-correction method for flow at all speeds. Zbl 1046.76033van der Heul, D. R.; Vuik, C.; Wesseling, P. 49 2003 On a class of preconditioners for solving the discrete Helmholtz equation. Zbl 1049.65111Erlangga, 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 1042.76046van der Heul, D. R.; Vuik, C.; Wesseling, P. 10 2002 A comparison of various deflation vectors applied to elliptic problems with discontinuous coefficients. Zbl 1143.65396Vuik, C.; Segal, A.; El Yaakoubi, L.; Dufour, E. 3 2002 On the construction of deflation-based preconditioners. Zbl 0997.65072Frank, 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 1043.76039Vuik, C.; Segal, A.; Meijerink, J. A.; Wijma, G. T. 11 2001 Stability analysis of segregated solution methods for compressible flow. Zbl 1017.76065van der Heul, D. R.; Vuik, C.; Wesseling, P. 8 2001 A parallel block-preconditioned GCR method for incompressible flow problems. Zbl 1032.68811Vuik, C.; Frank, J.; Segal, A. 2 2001 A staggered scheme for hyperbolic conservation laws applied to computation of flow with cavitation. Zbl 1064.76594van der Heul, D. R.; Vuik, C.; Wesseling, P. 1 2001 The Krylov accelerated SIMPLE(R) method for flow problems in industrial furnaces. Zbl 0960.76054Vuik, C.; Saghir, A.; Boerstoel, G. P. 19 2000 A mathematical model for the dissolution of particlesin multi-component alloys. Zbl 0974.65082Vermolen, F. J.; Vuik, C. 6 2000 A conserving discretization for a Stefan problem with an interface reaction at the free boundary. Zbl 1060.35535Vuik, C.; Segal, A.; Vermolen, F. J. 4 2000 Branch switching techniques for bifurcation in soil deformation. Zbl 0967.74042van der Veen, Hilda; Vuik, Kees; de Borst, René 3 2000 Fast pressure calculation for 2D and 3D time dependent incompressible flow. Zbl 1090.76520van 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 0945.76048Vuik, C.; Segal, A.; Meijerink, J. A. 40 1999 A staggered scheme for hyperbolic conservation laws applied to unsteady sheet cavitation. Zbl 1067.76583van der Heul, D. R.; Vuik, C.; Wesseling, P. 3 1999 ...and 24 more Documents all cited Publications top 5 cited Publications all top 5 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 ...and 1,383 more Authors all top 5 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 8 Computational Mechanics 8 Numerical Algorithms 7 BIT 7 Mathematics and Computers in Simulation 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. 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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 1 International Journal of Modern Physics B 1 Acta Mechanica 1 Archive for Rational Mechanics and Analysis 1 Communications on Pure and Applied Mathematics 1 International Journal of Solids and Structures 1 Journal of Mathematical Physics 1 Journal of the Mechanics and Physics of Solids 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. 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Third Series ...and 38 more Serials all top 5 Cited in 32 Fields 634 Numerical analysis (65-XX) 313 Fluid mechanics (76-XX) 222 Partial differential equations (35-XX) 62 Mechanics of deformable solids (74-XX) 45 Optics, electromagnetic theory (78-XX) 43 Classical thermodynamics, heat transfer (80-XX) 38 Biology and other natural sciences (92-XX) 31 Geophysics (86-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 18 Linear and multilinear algebra; matrix theory (15-XX) 16 Ordinary differential equations (34-XX) 13 Operations research, mathematical programming (90-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Systems theory; control (93-XX) 8 Computer science (68-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Quantum theory (81-XX) 3 History and biography (01-XX) 3 Operator theory (47-XX) 3 Probability theory and stochastic processes (60-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral equations (45-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) Citations by Year