Edit Profile (opens in new tab) Crouzeix, Michel Co-Author Distance Author ID: crouzeix.michel Published as: Crouzeix, Michel; Crouzeix, M. External Links: MGP Documents Indexed: 69 Publications since 1970, including 4 Books Biographic References: 1 Publication Co-Authors: 39 Co-Authors with 48 Joint Publications 1,037 Co-Co-Authors all top 5 Co-Authors 21 single-authored 9 Thomée, Vidar 4 Akrivis, Georgios D. 4 Badea, Catalin 4 Beckermann, Bernhard 3 Mignot, Alain Lucien 3 Raviart, Pierre-Arnaud 2 Delyon, Bernard 2 Larsson, Stig 2 Makridakis, Charalambos G. 2 Raugel, Geneviève 2 Sadkane, Miloud 2 Sayas, Francisco-Javier 2 Thomas, Jean-Marie 1 Baiocchi, Claudio 1 Bakaev, Nikolai Yu. 1 Bolley, Catherine 1 Brenner, Philip 1 Brezinski, Claude 1 Ciavaldini, Jean-François 1 Costabel, Martin 1 Dauge, Monique 1 Descloux, Jean 1 Falk, Richard S. 1 Féat, Philippe 1 Geymonat, Giuseppe 1 Gilfeather, Frank L. 1 Greenbaum, Anne 1 Holbrook, John A. R. 1 Hundsdorfer, Willem H. 1 Klaja, Hubert 1 Lafranche, Yvon 1 Lisbona Cortés, Francisco Javier 1 Palencia, Cesar 1 Philippe, Bernard J. 1 Piskarëv, S. I. 1 Rappaz, Jacques 1 Ruamps, Francoise 1 Spijker, Marc N. 1 Wahlbin, Lars B. all top 5 Serials 7 Mathematics of Computation 5 Numerische Mathematik 4 Archiv der Mathematik 3 RAIRO. Analyse Numérique 3 SIAM Journal on Matrix Analysis and Applications 3 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 2 Linear and Multilinear Algebra 2 BIT 2 SIAM Journal on Mathematical Analysis 2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 2 Communications on Pure and Applied Analysis 2 Revue Française d’Automatique, Informatique, Recherche Opérationnelle. Série Rouge 1 Bulletin of the London Mathematical Society 1 Calcolo 1 Integral Equations and Operator Theory 1 Journal of Computational and Applied Mathematics 1 Journal of Functional Analysis 1 Mathematische Zeitschrift 1 SIAM Journal on Numerical Analysis 1 Applied Numerical Mathematics 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Numerical Methods for Partial Differential Equations 1 European Journal of Mechanics. B. Fluids 1 Numerical Algorithms 1 Comptes Rendus de l’Académie des Sciences. Série I 1 SIAM Journal on Scientific Computing 1 Annales Mathématiques Blaise Pascal 1 Annals of Numerical Mathematics 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Computational Methods in Applied Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Operators and Matrices 1 Jaen Journal on Approximation 1 Nonlinear Analysis. Theory, Methods & Applications 1 Recherches en Mathématiques Appliquées all top 5 Fields 40 Numerical analysis (65-XX) 23 Partial differential equations (35-XX) 23 Operator theory (47-XX) 12 Ordinary differential equations (34-XX) 6 Approximations and expansions (41-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 3 General and overarching topics; collections (00-XX) 3 Fluid mechanics (76-XX) 2 Functional analysis (46-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 61 Publications have been cited 1,724 times in 1,439 Documents Cited by ▼ Year ▼ Conforming and nonconforming finite element methods for solving the stationary Stokes equations. I. Zbl 0302.65087Crouzeix, M.; Raviart, P.-A. 576 1974 The stability in \(L_ p\) and \(W^ 1_ p\) of the \(L_ 2\)-projection onto finite element function spaces. Zbl 0637.41034Crouzeix, M.; Thomée, V. 114 1987 Une méthode multipas implicite-explicite pour l’approximation des équations d’évolution paraboliques. Zbl 0419.65057Crouzeix, Michel 86 1980 Implicit-explicit multistep methods for quasilinear parabolic equations. Zbl 0936.65118Akrivis, Georgios; Crouzeix, Michel; Makridakis, Charalambos 65 1999 Numerical range and functional calculus in Hilbert space. Zbl 1116.47004Crouzeix, Michel 62 2007 Sur la B-stabilité des méthodes de Runge-Kutta. Zbl 0431.65052Crouzeix, Michel 61 1979 Conservation de la positivite lors de la discretisation des problèmes d’évolution paraboliques. Zbl 0392.65042Bolley, Catherine; Crouzeix, Michel 53 1978 The stability of rational approximations of analytic semigroups. Zbl 0783.65050Crouzeix, M.; Larsson, S.; Piskarev, S.; Thomée, V. 49 1993 The numerical range is a \((1+\sqrt{2})\)-spectral set. Zbl 1368.47006Crouzeix, M.; Palencia, C. 46 2017 The Davidson method. Zbl 0803.65042Crouzeix, M.; Philippe, B.; Sadkane, M. 43 1994 Implicit-explicit multistep finite element methods for nonlinear parabolic problems. Zbl 0896.65066Akrivis, Georgios; Crouzeix, Michel; Makridakis, Charalambos 40 1998 Single step methods for inhomogeneous linear differential equations in Banach space. Zbl 0477.65040Brenner, Philip; Crouzeix, Michel; Thomee, Vidar 40 1982 Nonconforming finite elements for the Stokes problem. Zbl 0685.76018Crouzeix, Michel; Falk, Richard S. 32 1989 Bounds for analytical functions of matrices. Zbl 1069.47004Crouzeix, Michel 32 2004 On the existence of solutions to the algebraic equations in implicit Runge-Kutta methods. Zbl 0506.65030Crouzeix, M.; Hundsdorfer, W. H.; Spijker, M. N. 31 1983 The convergence of variable-stepsize, variable-formula, multistep methods. Zbl 0542.65038Crouzeix, M.; Lisbona, F. J. 28 1984 Linearly implicit methods for nonlinear parabolic equations. Zbl 1045.65079Akrivis, Georgios; Crouzeix, Michel 26 2004 Analyse numérique des équations différentielles. (Numerical analysis of differential equations). Zbl 0635.65079Crouzeix, Michel; Mignot, Alain L. 24 1984 On numerical approximation in bifurcation theory. Zbl 0687.65057Crouzeix, Michel; Rappaz, Jacques 23 1989 On the discretization in time of semilinear parabolic equations with nonsmooth initial data. Zbl 0632.65097Crouzeix, Michel; Thomée, Vidar 22 1987 Asymptotic expansions of the error of spline Galerkin boundary element methods. Zbl 0899.65061Crouzeix, Michel; Sayas, Francisco-Javier 17 1998 On the equivalence of \(A\)-stability and \(G\)-stability. Zbl 0671.65072Baiocchi, Claudio; Crouzeix, Michel 16 1989 Numerical methods for ultraparabolic equations. Zbl 0859.65108Akrivis, G.; Crouzeix, M.; Thomée, V. 14 1994 Variational approach of a magnetic shaping problem. Zbl 0741.76089Crouzeix, M. 13 1991 Resolvent estimates for elliptic finite element operators in one dimension. Zbl 0806.65096Crouzeix, M.; Larsson, S.; Thomée, V. 13 1994 Approximation d’équations d’évolution linéaires par des méthodes multipas. Zbl 0389.65035Crouzeix, M.; Raviart, P. A. 13 1978 Some estimates for analytic functions of strip or sectorial operators. Zbl 1060.47006Crouzeix, Michel; Delyon, Bernard 12 2003 Remarque sur le procédé \(\Delta^ 2\) d’Aitken. Zbl 0193.12101Brezinski, C.; Crouzeix, M. 11 1970 On multistep approximation of semigroups in Banach spaces. Zbl 0632.65067Crouzeix, Michel 10 1987 The inf-sup constant for the divergence on corner domains. Zbl 1309.65131Costabel, Martin; Crouzeix, Michel; Dauge, Monique; Lafranche, Yvon 10 2015 Intersections of several disks of the Riemann sphere as \(K\)-spectral sets. Zbl 1169.47008Badea, Catalin; Beckermann, Bernhard; Crouzeix, Michel 10 2009 Convex domains and K-spectral sets. Zbl 1084.47004Badea, Catalin; Crouzeix, Michel; Delyon, Bernard 9 2006 A functional calculus based on the numerical range: applications. Zbl 1135.47010Crouzeix, Michel 9 2008 Operators with numerical range in a parabola. Zbl 1069.47003Crouzeix, Michel 9 2004 Approximation des équations d’évolution linéaires par des méthodes à pas multiples. Zbl 0361.65064Crouzeix, Michel; Raviart, Pierre-Arnaud 8 1976 Some constants related to numerical ranges. Zbl 1376.15014Crouzeix, Michel 8 2016 Resolvent estimates in \(l_p\) for discrete Laplacians on irregular meshes and maximum-norm stability of parabolic finite difference schemes. Zbl 0987.65093Crouzeix, Michel; Thomée, Vidar 8 2001 On rational approximations to the exponential. Zbl 0369.65001Crouzeix, Michel; Ruamps, Francoise 7 1977 Theoretical and numerical study of a free boundary problem by boundary integral methods. Zbl 0985.35114Crouzeix, Michel; Féat, Philippe; Sayas, Francisco-Javier 7 2001 Error estimates for spatially discrete approximations of semilinear parabolic equations with initial data of low regularity. Zbl 0674.65071Crouzeix, M.; Thomée, V.; Wahlbin, L. B. 6 1989 Numerical analysis of differential equations. 2e éd. révisée at augmentée. (Analyse numérique des équations différentielles.) Zbl 0709.65054Crouzeix, Michel; Mignot, Alain L. 5 1989 A bidimensional electromagnetic problem. Zbl 0709.35029Crouzeix, Michel; Descloux, Jean 5 1990 On an operator related to the convergence of Uzawa’s algorithm for the Stokes equation. Zbl 0911.65113Crouzeix, Michel 5 1997 Polynomial bounds for small matrices. Zbl 1307.46044Crouzeix, Michel; Gilfeather, Frank; Holbrook, John 4 2014 Contractivity and analyticity in \(l^p\) of some approximation of the heat equation. Zbl 1034.65076Crouzeix, Michel 4 2003 Maximum-norm resolvent estimates for elliptic finite element operators on nonquasiuniform triangulations. Zbl 1116.65108Bakaev, Nikolai Yu.; Crouzeix, Michel; Thomée, Vidar 4 2006 Faber polynomials of matrices for non-convex sets. Zbl 06817335Beckermann, Bernhard; Crouzeix, Michel 4 2014 Spectral sets: numerical range and beyond. Zbl 07122453Crouzeix, Michel; Greenbaum, Anne 4 2019 The annulus as a K-spectral set. Zbl 1286.47003Crouzeix, Michel 3 2012 A family of inequalities for convex sets in the plane. (Une famille d’inégalités pour les ensembles convexes du plan.) Zbl 1159.52301Crouzeix, Michel 3 2005 Operators with numerical range in a conic domain. Zbl 1126.47006Beckermann, Bernhard; Crouzeix, Michel 3 2007 A lenticular version of a von Neumann inequality. Zbl 1105.47011Beckermann, Bernhard; Crouzeix, Michel 3 2006 A finite element method scheme for one-dimensional elliptic equations with high superconvergence at the nodes. Zbl 0548.65067Ciavaldini, Jean-François; Crouzeix, Michel 2 1985 Invariance under the dihedral group and application to bifurcation problems. Zbl 0662.58030Crouzeix, Michel; Raugel, Geneviève 2 1988 A von Neumann type estimate for rational functions of sectorial operators. (Une majoration du type von Neumann pour les fractions rationnelles d’opérateurs sectoriels.) Zbl 0976.47004Crouzeix, Michel 2 2000 Spectral sets and operator radii. Zbl 07000659Badea, Catalin; Crouzeix, Michel; Klaja, Hubert 2 2018 Résolution numérique par des méthodes d’éléments finis de problèmes elliptiques dégénérées. Zbl 0248.65051Crouzeix, Michel; Thomas, Jean-Marie 2 1972 Some remarks about the Morse lemma in infinite dimension. Zbl 0652.58017Crouzeix, Michel; Geymonat, Giuseppe; Raugel, Geneviève 1 1988 Exercises d’analyse numérique des équations différentielles. (Exercises to the numerical analysis of differential equations.). Zbl 0635.65080Crouzeix, M.; Mignot, Alain L. 1 1986 Éléments finis et problèmes elliptiques dégénérées. Zbl 0285.35004Crouzeix, M.; Thomas, J. M. 1 1974 On the best constant in some Sobolev imbeddings. (Sur la meilleur constante dans une injection de Sobolev.) Zbl 0972.35023Crouzeix, Michel 1 2001 Spectral sets: numerical range and beyond. Zbl 07122453Crouzeix, Michel; Greenbaum, Anne 4 2019 Spectral sets and operator radii. Zbl 07000659Badea, Catalin; Crouzeix, Michel; Klaja, Hubert 2 2018 The numerical range is a \((1+\sqrt{2})\)-spectral set. Zbl 1368.47006Crouzeix, M.; Palencia, C. 46 2017 Some constants related to numerical ranges. Zbl 1376.15014Crouzeix, Michel 8 2016 The inf-sup constant for the divergence on corner domains. Zbl 1309.65131Costabel, Martin; Crouzeix, Michel; Dauge, Monique; Lafranche, Yvon 10 2015 Polynomial bounds for small matrices. Zbl 1307.46044Crouzeix, Michel; Gilfeather, Frank; Holbrook, John 4 2014 Faber polynomials of matrices for non-convex sets. Zbl 06817335Beckermann, Bernhard; Crouzeix, Michel 4 2014 The annulus as a K-spectral set. Zbl 1286.47003Crouzeix, Michel 3 2012 Intersections of several disks of the Riemann sphere as \(K\)-spectral sets. Zbl 1169.47008Badea, Catalin; Beckermann, Bernhard; Crouzeix, Michel 10 2009 A functional calculus based on the numerical range: applications. Zbl 1135.47010Crouzeix, Michel 9 2008 Numerical range and functional calculus in Hilbert space. Zbl 1116.47004Crouzeix, Michel 62 2007 Operators with numerical range in a conic domain. Zbl 1126.47006Beckermann, Bernhard; Crouzeix, Michel 3 2007 Convex domains and K-spectral sets. Zbl 1084.47004Badea, Catalin; Crouzeix, Michel; Delyon, Bernard 9 2006 Maximum-norm resolvent estimates for elliptic finite element operators on nonquasiuniform triangulations. Zbl 1116.65108Bakaev, Nikolai Yu.; Crouzeix, Michel; Thomée, Vidar 4 2006 A lenticular version of a von Neumann inequality. Zbl 1105.47011Beckermann, Bernhard; Crouzeix, Michel 3 2006 A family of inequalities for convex sets in the plane. (Une famille d’inégalités pour les ensembles convexes du plan.) Zbl 1159.52301Crouzeix, Michel 3 2005 Bounds for analytical functions of matrices. Zbl 1069.47004Crouzeix, Michel 32 2004 Linearly implicit methods for nonlinear parabolic equations. Zbl 1045.65079Akrivis, Georgios; Crouzeix, Michel 26 2004 Operators with numerical range in a parabola. Zbl 1069.47003Crouzeix, Michel 9 2004 Some estimates for analytic functions of strip or sectorial operators. Zbl 1060.47006Crouzeix, Michel; Delyon, Bernard 12 2003 Contractivity and analyticity in \(l^p\) of some approximation of the heat equation. Zbl 1034.65076Crouzeix, Michel 4 2003 Resolvent estimates in \(l_p\) for discrete Laplacians on irregular meshes and maximum-norm stability of parabolic finite difference schemes. Zbl 0987.65093Crouzeix, Michel; Thomée, Vidar 8 2001 Theoretical and numerical study of a free boundary problem by boundary integral methods. Zbl 0985.35114Crouzeix, Michel; Féat, Philippe; Sayas, Francisco-Javier 7 2001 On the best constant in some Sobolev imbeddings. (Sur la meilleur constante dans une injection de Sobolev.) Zbl 0972.35023Crouzeix, Michel 1 2001 A von Neumann type estimate for rational functions of sectorial operators. (Une majoration du type von Neumann pour les fractions rationnelles d’opérateurs sectoriels.) Zbl 0976.47004Crouzeix, Michel 2 2000 Implicit-explicit multistep methods for quasilinear parabolic equations. Zbl 0936.65118Akrivis, Georgios; Crouzeix, Michel; Makridakis, Charalambos 65 1999 Implicit-explicit multistep finite element methods for nonlinear parabolic problems. Zbl 0896.65066Akrivis, Georgios; Crouzeix, Michel; Makridakis, Charalambos 40 1998 Asymptotic expansions of the error of spline Galerkin boundary element methods. Zbl 0899.65061Crouzeix, Michel; Sayas, Francisco-Javier 17 1998 On an operator related to the convergence of Uzawa’s algorithm for the Stokes equation. Zbl 0911.65113Crouzeix, Michel 5 1997 The Davidson method. Zbl 0803.65042Crouzeix, M.; Philippe, B.; Sadkane, M. 43 1994 Numerical methods for ultraparabolic equations. Zbl 0859.65108Akrivis, G.; Crouzeix, M.; Thomée, V. 14 1994 Resolvent estimates for elliptic finite element operators in one dimension. Zbl 0806.65096Crouzeix, M.; Larsson, S.; Thomée, V. 13 1994 The stability of rational approximations of analytic semigroups. Zbl 0783.65050Crouzeix, M.; Larsson, S.; Piskarev, S.; Thomée, V. 49 1993 Variational approach of a magnetic shaping problem. Zbl 0741.76089Crouzeix, M. 13 1991 A bidimensional electromagnetic problem. Zbl 0709.35029Crouzeix, Michel; Descloux, Jean 5 1990 Nonconforming finite elements for the Stokes problem. Zbl 0685.76018Crouzeix, Michel; Falk, Richard S. 32 1989 On numerical approximation in bifurcation theory. Zbl 0687.65057Crouzeix, Michel; Rappaz, Jacques 23 1989 On the equivalence of \(A\)-stability and \(G\)-stability. Zbl 0671.65072Baiocchi, Claudio; Crouzeix, Michel 16 1989 Error estimates for spatially discrete approximations of semilinear parabolic equations with initial data of low regularity. Zbl 0674.65071Crouzeix, M.; Thomée, V.; Wahlbin, L. B. 6 1989 Numerical analysis of differential equations. 2e éd. révisée at augmentée. (Analyse numérique des équations différentielles.) Zbl 0709.65054Crouzeix, Michel; Mignot, Alain L. 5 1989 Invariance under the dihedral group and application to bifurcation problems. Zbl 0662.58030Crouzeix, Michel; Raugel, Geneviève 2 1988 Some remarks about the Morse lemma in infinite dimension. Zbl 0652.58017Crouzeix, Michel; Geymonat, Giuseppe; Raugel, Geneviève 1 1988 The stability in \(L_ p\) and \(W^ 1_ p\) of the \(L_ 2\)-projection onto finite element function spaces. Zbl 0637.41034Crouzeix, M.; Thomée, V. 114 1987 On the discretization in time of semilinear parabolic equations with nonsmooth initial data. Zbl 0632.65097Crouzeix, Michel; Thomée, Vidar 22 1987 On multistep approximation of semigroups in Banach spaces. Zbl 0632.65067Crouzeix, Michel 10 1987 Exercises d’analyse numérique des équations différentielles. (Exercises to the numerical analysis of differential equations.). Zbl 0635.65080Crouzeix, M.; Mignot, Alain L. 1 1986 A finite element method scheme for one-dimensional elliptic equations with high superconvergence at the nodes. Zbl 0548.65067Ciavaldini, Jean-François; Crouzeix, Michel 2 1985 The convergence of variable-stepsize, variable-formula, multistep methods. Zbl 0542.65038Crouzeix, M.; Lisbona, F. J. 28 1984 Analyse numérique des équations différentielles. (Numerical analysis of differential equations). Zbl 0635.65079Crouzeix, Michel; Mignot, Alain L. 24 1984 On the existence of solutions to the algebraic equations in implicit Runge-Kutta methods. Zbl 0506.65030Crouzeix, M.; Hundsdorfer, W. H.; Spijker, M. N. 31 1983 Single step methods for inhomogeneous linear differential equations in Banach space. Zbl 0477.65040Brenner, Philip; Crouzeix, Michel; Thomee, Vidar 40 1982 Une méthode multipas implicite-explicite pour l’approximation des équations d’évolution paraboliques. Zbl 0419.65057Crouzeix, Michel 86 1980 Sur la B-stabilité des méthodes de Runge-Kutta. Zbl 0431.65052Crouzeix, Michel 61 1979 Conservation de la positivite lors de la discretisation des problèmes d’évolution paraboliques. Zbl 0392.65042Bolley, Catherine; Crouzeix, Michel 53 1978 Approximation d’équations d’évolution linéaires par des méthodes multipas. Zbl 0389.65035Crouzeix, M.; Raviart, P. A. 13 1978 On rational approximations to the exponential. Zbl 0369.65001Crouzeix, Michel; Ruamps, Francoise 7 1977 Approximation des équations d’évolution linéaires par des méthodes à pas multiples. Zbl 0361.65064Crouzeix, Michel; Raviart, Pierre-Arnaud 8 1976 Conforming and nonconforming finite element methods for solving the stationary Stokes equations. I. Zbl 0302.65087Crouzeix, M.; Raviart, P.-A. 576 1974 Éléments finis et problèmes elliptiques dégénérées. Zbl 0285.35004Crouzeix, M.; Thomas, J. M. 1 1974 Résolution numérique par des méthodes d’éléments finis de problèmes elliptiques dégénérées. Zbl 0248.65051Crouzeix, Michel; Thomas, Jean-Marie 2 1972 Remarque sur le procédé \(\Delta^ 2\) d’Aitken. Zbl 0193.12101Brezinski, C.; Crouzeix, M. 11 1970 all cited Publications top 5 cited Publications all top 5 Cited by 1,765 Authors 20 Akrivis, Georgios D. 18 Hundsdorfer, Willem H. 18 Spijker, Marc N. 16 Ye, Xiu 15 Girault, Vivette 15 Hu, Jun 14 Brenner, Susanne Cecelia 14 Crouzeix, Michel 14 Li, Buyang 13 Brezinski, Claude 13 Latché, Jean-Claude 13 Palencia, Cesar 12 Carstensen, Carsten 12 Herbin, Raphaèle 12 Kwak, Do Young 12 Lubich, Christian 11 Guessab, Allal 11 Sayas, Francisco-Javier 10 Chen, Shaochun 10 Ostermann, Alexander 10 Shang, Yueqiang 10 Sheen, Dongwoo 10 Verwer, Jan G. 10 Zhang, Shangyou 10 Zhao, Jikun 9 Bernardi, Christine 9 Butcher, John C. 9 Chen, Zhangxin 9 Greenbaum, Anne 9 Kraaijevanger, J. F. B. M. 9 Redivo-Zaglia, Michela 9 Shi, Dongyang 9 Yang, Yidu 8 Burman, Erik 8 Duan, Huoyuan 8 Hansbo, Peter 8 Thomée, Vidar 8 Zhang, Bei 7 Ashyralyev, Allaberen 7 Bakaev, Nikolai Yu. 7 Bartels, Sören 7 Gunzburger, Max D. 7 Ketcheson, David I. 7 Larsson, Stig 7 Makridakis, Charalambos G. 7 Marcozzi, Michael D. 7 Mu, Lin 7 Sandu, Adrian 7 Wang, Wansheng 7 Yotov, Ivan 6 Burrage, Kevin 6 Di Pietro, Daniele Antonio 6 Dougalis, Vassilios A. 6 Droniou, Jérôme 6 Emmrich, Etienne 6 Fortin, Michel 6 Hairer, Ernst 6 He, Yinnian 6 Layton, William J. 6 Li, Jian 6 Manzini, Gianmarco 6 Mao, Shipeng 6 Massei, Stefano 6 Neilan, Michael 6 Prohl, Andreas 6 Rivière, Beatrice M. 6 Sanz-Serna, Jesús María 6 Sauter, Stefan 6 Shi, Zhongci 6 Süli, Endre E. 6 Wang, Junping 6 Xu, Jinchao 6 Zhang, Zhimin 6 Zhou, Guanyu 5 Achchab, Boujemaa 5 Alonso-Mallo, Isaías 5 Auzinger, Winfried 5 Bercovier, Michel 5 Bourgault, Yves 5 Cano, Begoña 5 Dekker, Kees 5 Dolejší, Vít 5 Gallouët, Thierry 5 Guzmán, Johnny 5 Hochbruck, Marlis 5 Horváth, Zoltán 5 John, Volker 5 Kressner, Daniel 5 Larson, Mats G. 5 Leykekhman, Dmitriy 5 Linke, Alexander 5 Nochetto, Ricardo Horacio 5 Novati, Paolo 5 Piskarëv, S. I. 5 Ransford, Thomas J. 5 Robol, Leonardo 5 Rogava, Jemal L. 5 Ruas, Vitoriano 5 Rui, Hongxing 5 Saad, Yousef ...and 1,665 more Authors all top 5 Cited in 194 Serials 111 Numerische Mathematik 109 Mathematics of Computation 103 Applied Numerical Mathematics 91 Journal of Computational and Applied Mathematics 83 Computer Methods in Applied Mechanics and Engineering 58 Journal of Scientific Computing 57 BIT 52 Journal of Computational Physics 49 Computers & Mathematics with Applications 45 SIAM Journal on Numerical Analysis 32 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 31 Applied Mathematics and Computation 22 RAIRO. Modélisation Mathématique et Analyse Numérique 22 Linear Algebra and its Applications 21 SIAM Journal on Matrix Analysis and Applications 19 Calcolo 19 SIAM Journal on Scientific Computing 18 Numerical Algorithms 17 Journal of Mathematical Analysis and Applications 15 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 14 Numerical Methods for Partial Differential Equations 13 Advances in Computational Mathematics 12 Computers and Fluids 12 Computing 12 Computational Methods in Applied Mathematics 11 Numerical Functional Analysis and Optimization 11 Applied Mathematics Letters 10 RAIRO. Analyse Numérique 10 Japan Journal of Industrial and Applied Mathematics 10 Science China. Mathematics 9 Journal of Functional Analysis 9 Applications of Mathematics 8 International Journal of Computer Mathematics 7 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 7 Advances in Applied Mathematics and Mechanics 6 Computational and Applied Mathematics 6 Journal of Evolution Equations 6 Journal of Numerical Mathematics 6 International Journal of Numerical Analysis and Modeling 5 Journal of Differential Equations 5 Computational Mechanics 5 Foundations of Computational Mathematics 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Electronic Research Archive 4 Archive for Rational Mechanics and Analysis 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Mathematical and Computer Modelling 4 Journal of Integral Equations and Applications 4 Journal of Mathematical Sciences (New York) 4 Numerical Linear Algebra with Applications 3 Journal of Fluid Mechanics 3 Linear and Multilinear Algebra 3 Mathematical Methods in the Applied Sciences 3 Integral Equations and Operator Theory 3 Journal of Approximation Theory 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Semigroup Forum 3 Computational Mathematics and Mathematical Physics 3 Applied Mathematical Modelling 3 Computing and Visualization in Science 3 Abstract and Applied Analysis 3 Journal of Applied Mathematics and Computing 3 Multiscale Modeling & Simulation 3 Advances in Difference Equations 3 BIT. Nordisk Tidskrift for Informationsbehandling 3 Revue Française d’Automatique, Informatique, Recherche Opérationnelle. Série Rouge 3 Nonlinear Analysis. Theory, Methods & Applications 3 SMAI Journal of Computational Mathematics 3 Results in Applied Mathematics 2 Journal of Engineering Mathematics 2 Chaos, Solitons and Fractals 2 Applied Mathematics and Optimization 2 Mathematische Annalen 2 Mathematics and Computers in Simulation 2 Proceedings of the American Mathematical Society 2 Results in Mathematics 2 Transactions of the American Mathematical Society 2 Journal of Computational Mathematics 2 Japan Journal of Applied Mathematics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 SIAM Review 2 Journal of Dynamics and Differential Equations 2 Applied Mathematics. Series B (English Edition) 2 Calculus of Variations and Partial Differential Equations 2 Engineering Analysis with Boundary Elements 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Vietnam Journal of Mathematics 2 Journal of Inequalities and Applications 2 Differential Equations 2 Nonlinear Analysis. Real World Applications 2 Archives of Computational Methods in Engineering 2 Journal of Applied Mathematics 2 Computational Methods and Function Theory 2 Mathematical Biosciences and Engineering 2 Communications in Applied Mathematics and Computational Science 2 Frontiers of Mathematics in China 2 Communications in Computational Physics 2 Operators and Matrices 2 Advances in Mathematical Physics 2 Stochastic and Partial Differential Equations. Analysis and Computations ...and 94 more Serials all top 5 Cited in 42 Fields 1,195 Numerical analysis (65-XX) 587 Partial differential equations (35-XX) 389 Fluid mechanics (76-XX) 155 Ordinary differential equations (34-XX) 120 Mechanics of deformable solids (74-XX) 95 Operator theory (47-XX) 58 Linear and multilinear algebra; matrix theory (15-XX) 37 Calculus of variations and optimal control; optimization (49-XX) 32 Approximations and expansions (41-XX) 31 Biology and other natural sciences (92-XX) 22 Functional analysis (46-XX) 22 Probability theory and stochastic processes (60-XX) 21 Classical thermodynamics, heat transfer (80-XX) 19 Dynamical systems and ergodic theory (37-XX) 18 Optics, electromagnetic theory (78-XX) 15 Integral equations (45-XX) 15 Statistical mechanics, structure of matter (82-XX) 15 Systems theory; control (93-XX) 14 Real functions (26-XX) 12 History and biography (01-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Functions of a complex variable (30-XX) 7 Potential theory (31-XX) 7 Computer science (68-XX) 7 Quantum theory (81-XX) 7 Geophysics (86-XX) 6 Special functions (33-XX) 5 Integral transforms, operational calculus (44-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Sequences, series, summability (40-XX) 3 Convex and discrete geometry (52-XX) 3 Statistics (62-XX) 3 Operations research, mathematical programming (90-XX) 2 Combinatorics (05-XX) 2 Difference and functional equations (39-XX) 2 Mechanics of particles and systems (70-XX) 2 Relativity and gravitational theory (83-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Abstract harmonic analysis (43-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) Citations by Year