Edit Profile (opens in new tab) Eymard, Robert Co-Author Distance Author ID: eymard.robert Published as: Eymard, Robert; Eymard, R. Homepage: https://perso.math.u-pem.fr/eymard.robert/ External Links: MGP · ORCID · Google Scholar · ResearchGate · dblp Videos: carmin.tv Documents Indexed: 170 Publications since 1989, including 1 Book and 7 Additional arXiv Preprints 2 Contributions as Editor Co-Authors: 85 Co-Authors with 169 Joint Publications 1,688 Co-Co-Authors all top 5 Co-Authors 1 single-authored 74 Herbin, Raphaèle 55 Gallouët, Thierry 23 Droniou, Jérôme 19 Guichard, Cindy 16 Hilhorst, Danielle 15 Masson, Roland 11 Chénier, Eric 9 Latché, Jean-Claude 6 Bloch-Mercier, Sophie 6 Prignet, Alain 5 Arendt, Wolfgang 5 Chalendar, Isabelle 5 Cocozza-Thivent, Christiane 5 Fuhrmann, Jürgen 5 Roussignol, Michel 4 Bouchut, François 4 Feron, Pierre 4 Ghilani, Mustapha 4 Gutnic, Michaël 4 Handlovičová, Angela 4 Mikula, Karol 3 Bouillard, Nicolas 3 Chainais-Hillairet, Claire 3 Gervais, Véronique 3 Linke, Alexander 3 Maltese, David 3 Michel, Anthony 3 Piar, Bruno 3 Vohralík, Martin 2 Agelas, Leo 2 Angelini, Ophélie 2 Blanc, Philippe 2 Chavant, Clément 2 Daïm, Fatima-Zohra 2 Deuring, Paul 2 Di Pietro, Daniele Antonio 2 Doyen, David 2 Enchéry, Guillaume 2 Granjeon, Didier 2 Henry, Marie 2 Marhraoui, Nouzha 2 Montarnal, Philippe 2 Stašová, Olga 2 Talbot, Kyle S. 2 Touazi, Ouardia 2 Tran, Quang Huy 1 Andreianov, Boris 1 Antonietti, Paola Francesca 1 Berton, Julien 1 Blum, Jacques 1 Coussy, Olivier 1 Dangla, Patrick 1 Dobranszky, Gabriela 1 Duquennoi, Christian 1 Gärtner, Klaus 1 Gholamifard, S. 1 Goudenège, Ludovic 1 Granet, Sylvie 1 Gunawan, Putu Harry 1 Henry, Gérard 1 Hérard, Jean-Marc 1 Hubert, Florence 1 Jitsom, Bubpha 1 Klöfkorn, Robert 1 Laminie, Jacques 1 Lemaire, Simon 1 Lhébrard, Xavier 1 Mainguy, M. 1 Mildner, Marcus 1 Murakawa, Hideki 1 Naït Slimane, Y. 1 Nicolas, X. 1 Olech, Michał 1 Para, Kanokwarun 1 Peletier, Lambertus Adrianus 1 Phongthanapanich, Sutthisak 1 Pudjaprasetya, Sri Redjeki 1 Rhoudaf, Mohamed 1 Schleper, Veronika 1 Sirisubtawee, Sekson 1 Sungnul, Surattana 1 Tordeux, Antoine 1 van der Hout, Rein 1 Vovelle, Julien 1 Wolf, Sylvie all top 5 Serials 12 IMA Journal of Numerical Analysis 9 SIAM Journal on Numerical Analysis 8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 6 Numerische Mathematik 6 Numerical Methods for Partial Differential Equations 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Computational Geosciences 4 Computational Methods in Applied Mathematics 4 International Journal on Finite Volumes 3 Mathematics of Computation 3 Mathematics and Computers in Simulation 3 Chinese Annals of Mathematics. Series B 3 Acta Mathematica Universitatis Comenianae. New Series 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Journal of Evolution Equations 2 Journal of Computational Physics 2 Journal of Mathematical Analysis and Applications 2 Calcolo 2 Journal of Computational and Applied Mathematics 2 Journal of Differential Equations 2 RAIRO. Modélisation Mathématique et Analyse Numérique 2 Computing and Visualization in Science 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Journal of Numerical Mathematics 1 Computers and Fluids 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal of Non-Linear Mechanics 1 International Journal for Numerical Methods in Fluids 1 Inverse Problems 1 Czechoslovak Mathematical Journal 1 International Journal for Numerical Methods in Engineering 1 Semigroup Forum 1 Journal of Computational Mathematics 1 Applied Numerical Mathematics 1 Journal of Applied Mathematics and Stochastic Analysis 1 Applications of Mathematics 1 Stochastic Processes and their Applications 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Computational and Applied Mathematics 1 Advances in Differential Equations 1 Discrete and Continuous Dynamical Systems 1 Methodology and Computing in Applied Probability 1 Nonlinear Analysis. Real World Applications 1 Foundations of Computational Mathematics 1 Communications on Pure and Applied Analysis 1 International Journal of Numerical Analysis and Modeling 1 Mathématiques & Applications (Berlin) 1 Discrete and Continuous Dynamical Systems. Series S all top 5 Fields 127 Numerical analysis (65-XX) 85 Fluid mechanics (76-XX) 81 Partial differential equations (35-XX) 10 Geophysics (86-XX) 8 Probability theory and stochastic processes (60-XX) 7 Classical thermodynamics, heat transfer (80-XX) 4 Operator theory (47-XX) 2 General and overarching topics; collections (00-XX) 2 Mechanics of deformable solids (74-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Operations research, mathematical programming (90-XX) 2 Biology and other natural sciences (92-XX) 2 Information and communication theory, circuits (94-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 144 Publications have been cited 3,125 times in 1,669 Documents Cited by ▼ Year ▼ Finite volume methods. Zbl 0981.65095 Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 767 2000 Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: A scheme using stabilization and hybrid interfaces. Zbl 1202.65144 Eymard, R.; Gallouët, T.; Herbin, R. 202 2010 A unified approach to mimetic finite difference, hybrid finite volume and mixed finite volume methods. Zbl 1191.65142 Droniou, Jérôme; Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 125 2010 The gradient discretisation method. Zbl 1435.65005 Droniou, Jérôme; Eymard, Robert; Gallouët, Thierry; Guichard, Cindy; Herbin, Raphaèle 104 2018 A mixed finite volume scheme for anisotropic diffusion problems on any grid. Zbl 1109.65099 Droniou, Jérôme; Eymard, Robert 96 2006 Small-stencil 3D schemes for diffusive flows in porous media. Zbl 1271.76324 Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle 87 2012 Convergence of a finite volume scheme for nonlinear degenerate parabolic equations. Zbl 1005.65099 Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle; Michel, Anthony 78 2002 Gradient schemes: a generic framework for the discretisation of linear, nonlinear and nonlocal elliptic and parabolic equations. Zbl 1281.65136 Droniou, Jerome; Eymard, Robert; Gallouet, Thierry; Herbin, Raphaele 76 2013 A cell-centred finite-volume approximation for anisotropic diffusion operators on unstructured meshes in any space dimension. Zbl 1093.65110 Eymard, R.; Gallouët, T.; Herbin, R. 66 2006 Mathematical study of a petroleum-engineering scheme. Zbl 1118.76355 Eymard, Robert; Herbin, Raphaèle; Michel, Anthony 66 2003 A combined finite volume-nonconforming/mixed-hybrid finite element scheme for degenerate parabolic problems. Zbl 1108.65099 Eymard, Robert; Hilhorst, Danielle; Vohralík, Martin 62 2006 Error estimates for the approximate solutions of a nonlinear hyperbolic equation given by finite volume schemes. Zbl 0973.65078 Eymard, R.; Gallouët, T.; Ghilani, M.; Herbin, R. 60 1998 The finite volume method for Richards equation. Zbl 0953.76060 Eymard, Robert; Gutnic, Michaël; Hilhorst, Danielle 56 1999 A nine-point finite volume scheme for the simulation of diffusion in heterogeneous media. Zbl 1166.65051 Agelas, Léo; Eymard, Robert; Herbin, Raphaèle 49 2009 3D benchmark on discretization schemes for anisotropic diffusion problems on general grids. Zbl 1246.76053 Eymard, Robert; Henry, Gérard; Herbin, Raphaèle; Hubert, Florence; Klöfkorn, Robert 48 2011 Gradient schemes for two-phase flow in heterogeneous porous media and Richards equation. Zbl 1297.76159 Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle; Masson, Roland 42 2014 Gradient schemes: generic tools for the numerical analysis of diffusion equations. Zbl 1346.65042 Droniou, Jérome; Eymard, Robert; Herbin, Raphaèle 39 2016 TP or not TP, that is the question. Zbl 1378.76118 Eymard, R.; Gallouët, T.; Guichard, C.; Herbin, R.; Masson, R. 35 2014 A finite volume scheme for nonlinear parabolic equations derived from one-dimensional local Dirichlet problems. Zbl 1116.65101 Eymard, Robert; Fuhrmann, Jürgen; Gärtner, Klaus 33 2006 Convergence analysis of a colocated finite volume scheme for the incompressible Navier-Stokes equations on general 2D or 3D meshes. Zbl 1173.76028 Eymard, R.; Herbin, R.; Latché, J. C. 32 2007 Uniform-in-time convergence of numerical methods for non-linear degenerate parabolic equations. Zbl 1342.65180 Droniou, Jérôme; Eymard, Robert 32 2016 A new finite volume scheme for anisotropic diffusion problems on general grids: convergence analysis. Zbl 1112.65120 Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 32 2007 Finite volume approximation of elliptic problems and convergence of an approximate gradient. Zbl 0982.65122 Eymard, R.; Gallouët, T.; Herbin, R. 31 2001 Convergence of the MAC scheme for the compressible Stokes equations. Zbl 1417.65185 Eymard, R.; Gallouët, T.; Herbin, R.; Latché, J.-C. 31 2010 Existence and uniqueness of the entropy solution to a nonlinear hyperbolic equation. Zbl 0830.35077 Eymard, R.; Gallouët, T.; Herbin, R. 30 1995 H-convergence and numerical schemes for elliptic problems. Zbl 1049.35015 Eymard, Robert; Gallouët, Thierry 28 2003 Convergence of finite volume schemes for semilinear convection diffusion equations. Zbl 0930.65118 Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 27 1999 A convergent finite element-finite volume scheme for the compressible Stokes problem. II: The isentropic case. Zbl 1197.35192 Eymard, R.; Gallouët, T.; Herbin, R.; Latché, J. C. 26 2010 Numerical approximation of a two-phase flow problem in a porous medium with discontinuous capillary forces. Zbl 1145.76046 Enchéry, Guillaume; Eymard, R.; Michel, A. 24 2006 On a stabilized collocated finite volume scheme for the Stokes problem. Zbl 1160.76370 Eymard, Robert; Herbin, Raphaèle; Latché, Jean-Claude 24 2006 Study of the mixed finite volume method for Stokes and Navier-Stokes equations. Zbl 1153.76044 Droniou, Jérôme; Eymard, Robert 22 2009 Convergence of a finite volume scheme for a nonlinear hyperbolic equation. Zbl 0843.65068 Eymard, R.; Gallouët, T.; Herbin, R. 21 1995 Finite volumes and nonlinear diffusion equations. Zbl 0914.65101 Eymard, R.; Gallouët, T.; Hilhorst, D.; Naït Slimane, Y. 21 1998 A finite volume scheme for diffusion problems on general meshes applying monotony constraints. Zbl 1261.65108 Angelini, O.; Chavant, C.; Chénier, E.; Eymard, R. 21 2010 Numerical approximation of an elliptic-parabolic equation arising in environment. Zbl 1060.76075 Eymard, R.; Gallouët, T.; Gutnic, M.; Herbin, R.; Hilhorst, D. 20 2000 Gradient schemes for the Stefan problem. Zbl 1482.65162 Eymard, Robert; Féron, Pierre; Gallouët, Thierry; Herbin, Raphaèle; Guichard, Cindy 20 2013 Finite volume schemes for the biharmonic problem on general meshes. Zbl 1271.65135 Eymard, R.; Gallouët, T.; Herbin, R.; Linke, A. 19 2012 An error estimate for the approximation of linear parabolic equations by the gradient discretization method. Zbl 1372.65256 Droniou, J.; Eymard, R.; Gallouët, T.; Guichard, C.; Herbin, R. 19 2017 Finite volume approximation of a diffusion-dissolution model and application to nuclear waste storage. Zbl 1419.76449 Angelini, O.; Chavant, C.; Chénier, E.; Eymard, R.; Granet, S. 18 2011 Vertex centred discretization of two-phase Darcy flows on general meshes. Zbl 1357.76037 Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle; Masson, Roland 18 2012 A combined finite volume-finite element scheme for the discretization of strongly nonlinear convection-diffusion-reaction problems on nonmatching grids. Zbl 1192.65117 Eymard, Robert; Hilhorst, Danielle; Vohralík, Martin 18 2010 Error estimate for approximate solutions of a nonlinear convection-diffusion problem. Zbl 1173.35563 Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 17 2002 An error estimate for finite volume methods for the Stokes equations on equilateral triangular meshes. Zbl 1116.76395 Blanc, Philippe; Eymard, Robert; Herbin, Raphaèle 16 2004 Convergence of a finite element/finite volume type scheme for a system formed by an elleptic equation and a hyperbolic equation. (Convergence d’un schéma de type éléments finis-volumes finis pour un système formé d’une équation elliptique et d’une équation hyperbolique.) Zbl 0792.65073 Eymard, R.; Gallouët, T. 15 1993 Cell centred discretisation of non linear elliptic problems on general multidimensional polyhedral grids. Zbl 1179.65138 Eymard, R.; Gallouët, T.; Herbin, R. 15 2009 SUSHI: a scheme using stabilization and hybrid interfaces for anisotropic heterogeneous diffusion problems. Zbl 1422.65310 Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 15 2008 A finite volume scheme for anisotropic diffusion problems. Zbl 1055.65124 Eymard, Robert; Gallouët, Thierry; Herbin, Raphaéle 14 2004 Study of a finite volume scheme for the regularized mean curvature flow level set equation. Zbl 1241.65072 Eymard, Robert; Handlovičová, Angela; Mikula, Karol 14 2011 Convergence in \(C([0,T];L^{2}(\Omega))\) of weak solutions to perturbed doubly degenerate parabolic equations. Zbl 1386.35176 Droniou, Jérôme; Eymard, Robert; Talbot, Kyle S. 13 2016 Existence of a solution for two phase flow in porous media: the case that the porosity depends on the pressure. Zbl 1110.35033 Daïm, F. Z.; Eymard, R.; Hilhorst, D. 12 2007 A new colocated finite volume scheme for the incompressible Navier-Stokes equations on general non matching grids. Zbl 1114.76047 Eymard, Robert; Herbin, Raphaèle 12 2007 Multi-lithology stratigraphic model under maximum erosion rate constraint. Zbl 1098.76618 Eymard, R.; Gallouët, T.; Granjeon, D.; Masson, R.; Tran, Q. H. 11 2004 Analysis tools for finite volume schemes. Zbl 1133.65062 Eymard, Robert; Gallouët, Thiery; Herbin, Raphaele; Latché, Jean Claude 11 2007 Approximation by the finite volume method of an elliptic-parabolic equation arising in environmental studies. Zbl 1173.76359 Eymard, R.; Gallouët, T.; Herbin, R.; Gutnic, M.; Hilhorst, D. 10 2001 Diffusion with dissolution and precipitation in a porous medium: mathematical analysis and numerical approximation of a simplified model. Zbl 1130.76086 Bouillard, Nicolas; Eymard, Robert; Herbin, Raphaele; Montarnal, Philippe 10 2007 A reaction-diffusion system approximation of a one-phase Stefan problem. Zbl 1054.35019 Eymard, R.; Hilhorst, D.; van der Hout, R.; Peletier, L. A. 10 2001 Mathematical and numerical study of an industrial scheme for two-phase flows in porous media under gravity. Zbl 1098.76625 Enchery, G.; Eymard, R.; Masson, R.; Wolf, S. 9 2002 Hybrid finite element techniques for oil recovery simulation. Zbl 0687.76101 Eymard, R.; Gallouët, T.; Joly, P. 9 1989 Approximation of the biharmonic problem using P1 finite elements. Zbl 1261.65118 Eymard, Robert; Herbin, Raphaèle; Rhoudaf, Mohamed 9 2011 Gradient schemes for Stokes problem. Zbl 1433.76080 Droniou, Jérôme; Eymard, Robert; Feron, Pierre 9 2016 Characterization of the marginal distributions of Markov processes used in dynamic reliability. Zbl 1101.60068 Cocozza-Thivent, Christiane; Eymard, Robert; Mercier, Sophie; Roussignol, Michel 8 2006 Convergence analysis of a locally stabilized collocated finite volume scheme for incompressible flows. Zbl 1246.76087 Eymard, Robert; Herbin, Raphaèle; Latché, Jean-Claude; Piar, Bruno 8 2009 A finite-volume scheme for dynamic reliability models. Zbl 1109.65011 Cocozza-Thivent, C.; Eymard, R.; Mercier, S. 7 2006 An implicit finite volume scheme for a scalar hyperbolic problem with measure data related to piecewise deterministic Markov processes. Zbl 1158.65008 Eymard, Robert; Mercier, Sophie; Prignet, Alain 7 2008 An extension of the MAC scheme to locally refined meshes: convergence analysis for the full tensor time-dependent Navier-Stokes equations. Zbl 1310.76105 Chénier, Eric; Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 7 2015 Grid orientation effect in coupled finite volume schemes. Zbl 1328.76046 Eymard, R.; Guichard, C.; Masson, R. 7 2013 Discretization schemes for linear diffusion operators on general non-conforming meshes. Zbl 1422.65309 Eymard, R.; Gallouët, T.; Herbin, R. 7 2008 Gradient scheme approximations for diffusion problems. Zbl 1246.65205 Eymard, Robert; Herbin, Raphaèle 6 2011 Discontinuous Galerkin gradient discretisations for the approximation of second-order differential operators in divergence form. Zbl 1402.65156 Eymard, Robert; Guichard, Cindy 6 2018 On MAC schemes on triangular Delaunay meshes, their convergence and application to coupled flow problems. Zbl 1383.76353 Eymard, Robert; Fuhrmann, Jürgen; Linke, Alexander 6 2014 Staggered scheme for the Exner-shallow water equations. Zbl 1391.76725 Gunawan, P. H.; Eymard, R.; Pudjaprasetya, S. R. 6 2015 An abstract analysis framework for nonconforming approximations of diffusion problems on general meshes. Zbl 1490.65234 Agélas, Léo; Di Pietro, Daniele A.; Eymard, Robert; Masson, Roland 6 2010 A staggered finite volume scheme on general meshes for the Navier-Stokes equations in two space dimensions. Zbl 1490.65241 Eymard, Robert; Herbin, Raphaèle 6 2005 A cell-centered finite volume scheme on general meshes for the Stokes equations in two space dimensions. Zbl 1084.76052 Eymard, Robert; Herbin, Raphaèle 5 2003 Finite volumes for complex applications. V. Proceedings of the 5th International Symposium, Aussois, June 2008. Zbl 1162.65302 5 2008 On the stability of colocated clustered finite volume simplicial discretizations for the 2D Stokes problem. Zbl 1137.76062 Eymard, R.; Herbin, R.; Latché, J. C.; Piar, B. 5 2007 Convergence of a numerical scheme for stratigraphic modeling. Zbl 1096.35005 Eymard, R.; Gallouët, T.; Gervais, V.; Masson, R. 5 2005 Approximation of the marginal distributions of a semi-Markov process using a finite volume scheme. Zbl 1078.60075 Cocozza-Thivent, Christiane; Eymard, Robert 5 2004 Applications of approximate gradient schemes for nonlinear parabolic equations. Zbl 1340.65187 Eymard, Robert; Handlovičová, Angela; Herbin, Raphaèle; Mikula, Karol; Stašová, Olga 5 2015 \(L^2\)-stability independent of diffusion for a finite element-finite volume discretization of a linear convection-diffusion equation. Zbl 1312.65158 Deuring, Paul; Eymard, Robert; Mildner, Marcus 5 2015 MAC schemes on triangular meshes. Zbl 1246.76125 Eymard, Robert; Fuhrmann, Jürgen; Linke, Alexander 5 2011 The asymmetric gradient discretisation method. Zbl 1372.65292 Droniou, J.; Eymard, R. 5 2017 High-order mass-lumped schemes for nonlinear degenerate elliptic equations. Zbl 1447.65116 Droniou, Jerome; Eymard, Robert 5 2020 Finite volume schemes for the approximation via characteristics of linear convection equations with irregular data. Zbl 1236.65117 Bouchut, F.; Eymard, R.; Prignet, A. 5 2011 Family of convergent numerical schemes for the incompressible Navier-Stokes equations. Zbl 1482.76095 Eymard, Robert; Feron, Pierre; Guichard, Cindy 5 2018 Analytical and numerical study of a model of erosion and sedimentation. Zbl 1145.76047 Eymard, Robert; Gallouët, Thierry 4 2006 A collocated finite volume scheme to solve free convection for general non-conforming grids. Zbl 1158.76028 Chénier, Eric; Eymard, Robert; Herbin, Raphaèle 4 2009 Instantaneous and noninstantaneous dissolution: Approximation by the finite volume method. Zbl 1020.65052 Eymard, R.; Gallouët, T.; Herbin, R.; Hilhorst, D.; Mainguy, M. 4 1999 Finite volume approximation of degenerate two-phase flow model with unlimited air mobility. Zbl 1364.76106 Andreianov, Boris; Eymard, Robert; Ghilani, Mustapha; Marhraoui, Nouzha 4 2013 Hybrid finite volume discretization of linear elasticity models on general meshes. Zbl 1246.76051 Di Pietro, Daniele A.; Eymard, Robert; Lemaire, Simon; Masson, Roland 4 2011 Benchmark 3D: the VAG scheme. Zbl 1246.76084 Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle 4 2011 Numerical approximation of a reaction-diffusion system with fast reversible reaction. Zbl 1206.35018 Eymard, Robert; Hilhorst, Danielle; Murakawa, Hideki; Olech, Michal 4 2010 Study of a numerical scheme for miscible two-phase flow in porous media. Zbl 1355.76039 Eymard, Robert; Schleper, Veronika 4 2014 Finite volume methods for the valuation of American options. Zbl 1137.91427 Berton, Julien; Eymard, Robert 4 2006 A staggered finite volume scheme on general meshes for the generalized Stokes problem in two space dimensions. Zbl 1490.65236 Blanc, Philippe; Eymard, Robert; Herbin, Raphaèle 4 2005 A fast precipitation and dissolution reaction for a reaction-diffusion system arising in a porous medium. Zbl 1167.35396 Bouillard, N.; Eymard, R.; Henry, M.; Herbin, R.; Hilhorst, D. 3 2009 A finite volume scheme for the transport of radionucleides in porous media. Zbl 1060.76074 Chénier, E.; Eymard, R.; Nicolas, X. 3 2004 Limit boundary conditions for finite volume approximations of some physical problems. Zbl 1107.76361 Eymard, Robert; Gallouët, Thierry; Vovelle, Jullien 3 2003 Singular limit of a two-phase flow problem in porous medium as the air viscosity tends to zero. Zbl 1364.35118 Eymard, Robert; Henry, Marie; Hilhorst, Danielle 3 2012 Uniform-in-time convergence of numerical schemes for Richards’ and Stefan’s models. Zbl 1298.65134 Droniou, Jérôme; Eymard, Robert; Guichard, Cindy 3 2014 A monotone numerical flux for quasilinear convection diffusion equation. Zbl 1525.65084 Chainais-Hillairet, C.; Eymard, R.; Fuhrmann, J. 1 2024 Convergence of the incremental projection method using conforming approximations. Zbl 1543.65150 Eymard, Robert; Maltese, David 1 2024 Extensions of dissipative and symmetric operators. Zbl 1525.47047 Arendt, W.; Chalendar, I.; Eymard, R. 1 2023 Lions’ representation theorem and applications. Zbl 1510.35166 Arendt, W.; Chalendar, I.; Eymard, R. 1 2023 Galerkin approximation of linear problems in Banach and Hilbert spaces. Zbl 1515.65125 Arendt, W.; Chalendar, I.; Eymard, R. 3 2022 Weighted \(p\)-Laplace approximation of linear and quasi-linear elliptic problems with measure data. Zbl 1491.35155 Eymard, Robert; Maltese, David; Prignet, Alain 1 2022 Convergence of numerical schemes for a conservation equation with convection and degenerate diffusion. Zbl 1488.65418 Eymard, R.; Guichard, C.; Lhebrard, Xavier 1 2021 Convergence of nonlinear numerical approximations for an elliptic linear problem with irregular data. Zbl 1493.65197 Eymard, Robert; Maltese, David 1 2021 High-order mass-lumped schemes for nonlinear degenerate elliptic equations. Zbl 1447.65116 Droniou, Jerome; Eymard, Robert 5 2020 A unified analysis of elliptic problems with various boundary conditions and their approximation. Zbl 1513.65498 Droniou, Jérôme; Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 2 2020 The gradient discretisation method for linear advection problems. Zbl 1451.65175 Droniou, Jérôme; Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 2 2020 Unified convergence analysis of numerical schemes for a miscible displacement problem. Zbl 1411.65109 Droniou, Jérôme; Eymard, Robert; Prignet, Alain; Talbot, Kyle S. 3 2019 The gradient discretisation method. Zbl 1435.65005 Droniou, Jérôme; Eymard, Robert; Gallouët, Thierry; Guichard, Cindy; Herbin, Raphaèle 104 2018 Discontinuous Galerkin gradient discretisations for the approximation of second-order differential operators in divergence form. Zbl 1402.65156 Eymard, Robert; Guichard, Cindy 6 2018 Family of convergent numerical schemes for the incompressible Navier-Stokes equations. Zbl 1482.76095 Eymard, Robert; Feron, Pierre; Guichard, Cindy 5 2018 An error estimate for the approximation of linear parabolic equations by the gradient discretization method. Zbl 1372.65256 Droniou, J.; Eymard, R.; Gallouët, T.; Guichard, C.; Herbin, R. 19 2017 The asymmetric gradient discretisation method. Zbl 1372.65292 Droniou, J.; Eymard, R. 5 2017 \(L^2\)-stability of a finite element-finite volume discretization of convection-diffusion-reaction equations with nonhomogeneous mixed boundary conditions. Zbl 1371.65096 Deuring, Paul; Eymard, Robert 2 2017 Benchmark: two hybrid mimetic mixed schemes for the lid-driven cavity. Zbl 1391.76319 Droniou, Jérôme; Eymard, Robert 1 2017 DGM, an item of GDM. Zbl 1372.65306 Eymard, Robert; Guichard, Cindy 1 2017 Gradient schemes: generic tools for the numerical analysis of diffusion equations. Zbl 1346.65042 Droniou, Jérome; Eymard, Robert; Herbin, Raphaèle 39 2016 Uniform-in-time convergence of numerical methods for non-linear degenerate parabolic equations. Zbl 1342.65180 Droniou, Jérôme; Eymard, Robert 32 2016 Convergence in \(C([0,T];L^{2}(\Omega))\) of weak solutions to perturbed doubly degenerate parabolic equations. Zbl 1386.35176 Droniou, Jérôme; Eymard, Robert; Talbot, Kyle S. 13 2016 Gradient schemes for Stokes problem. Zbl 1433.76080 Droniou, Jérôme; Eymard, Robert; Feron, Pierre 9 2016 An extension of the MAC scheme to locally refined meshes: convergence analysis for the full tensor time-dependent Navier-Stokes equations. Zbl 1310.76105 Chénier, Eric; Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 7 2015 Staggered scheme for the Exner-shallow water equations. Zbl 1391.76725 Gunawan, P. H.; Eymard, R.; Pudjaprasetya, S. R. 6 2015 Applications of approximate gradient schemes for nonlinear parabolic equations. Zbl 1340.65187 Eymard, Robert; Handlovičová, Angela; Herbin, Raphaèle; Mikula, Karol; Stašová, Olga 5 2015 \(L^2\)-stability independent of diffusion for a finite element-finite volume discretization of a linear convection-diffusion equation. Zbl 1312.65158 Deuring, Paul; Eymard, Robert; Mildner, Marcus 5 2015 \( \mathcal{RT}_k\) mixed finite elements for some nonlinear problems. Zbl 1540.76086 Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 2 2015 Gradient schemes for two-phase flow in heterogeneous porous media and Richards equation. Zbl 1297.76159 Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle; Masson, Roland 42 2014 TP or not TP, that is the question. Zbl 1378.76118 Eymard, R.; Gallouët, T.; Guichard, C.; Herbin, R.; Masson, R. 35 2014 On MAC schemes on triangular Delaunay meshes, their convergence and application to coupled flow problems. Zbl 1383.76353 Eymard, Robert; Fuhrmann, Jürgen; Linke, Alexander 6 2014 Study of a numerical scheme for miscible two-phase flow in porous media. Zbl 1355.76039 Eymard, Robert; Schleper, Veronika 4 2014 Uniform-in-time convergence of numerical schemes for Richards’ and Stefan’s models. Zbl 1298.65134 Droniou, Jérôme; Eymard, Robert; Guichard, Cindy 3 2014 Convergence of conforming approximations for inviscid incompressible Bingham fluid flows and related problems. Zbl 1297.49012 Bouchut, F.; Eymard, R.; Prignet, A. 2 2014 Convection and total variation flow. Zbl 1302.65202 Bouchut, François; Doyen, David; Eymard, Robert 1 2014 Gradient schemes for Stokes problem. Zbl 1304.76028 Eymard, Robert; Feron, Pierre 1 2014 High performance computing linear algorithms for two-phase flow in porous media. Zbl 1426.76360 Eymard, Robert; Guichard, Cindy; Masson, Roland 1 2014 Gradient schemes: a generic framework for the discretisation of linear, nonlinear and nonlocal elliptic and parabolic equations. Zbl 1281.65136 Droniou, Jerome; Eymard, Robert; Gallouet, Thierry; Herbin, Raphaele 76 2013 Gradient schemes for the Stefan problem. Zbl 1482.65162 Eymard, Robert; Féron, Pierre; Gallouët, Thierry; Herbin, Raphaèle; Guichard, Cindy 20 2013 Grid orientation effect in coupled finite volume schemes. Zbl 1328.76046 Eymard, R.; Guichard, C.; Masson, R. 7 2013 Finite volume approximation of degenerate two-phase flow model with unlimited air mobility. Zbl 1364.76106 Andreianov, Boris; Eymard, Robert; Ghilani, Mustapha; Marhraoui, Nouzha 4 2013 Small-stencil 3D schemes for diffusive flows in porous media. Zbl 1271.76324 Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle 87 2012 Finite volume schemes for the biharmonic problem on general meshes. Zbl 1271.65135 Eymard, R.; Gallouët, T.; Herbin, R.; Linke, A. 19 2012 Vertex centred discretization of two-phase Darcy flows on general meshes. Zbl 1357.76037 Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle; Masson, Roland 18 2012 Singular limit of a two-phase flow problem in porous medium as the air viscosity tends to zero. Zbl 1364.35118 Eymard, Robert; Henry, Marie; Hilhorst, Danielle 3 2012 Approximation of nonlinear parabolic equations using a family of conformal and non-conformal schemes. Zbl 1264.65159 Eymard, Robert; Handlovičová, Angela; Mikula, Karol 2 2012 Convergence of a misanthrope process to the entropy solution of 1D problems. Zbl 1273.60093 Eymard, R.; Roussignol, M.; Tordeux, A. 2 2012 3D benchmark on discretization schemes for anisotropic diffusion problems on general grids. Zbl 1246.76053 Eymard, Robert; Henry, Gérard; Herbin, Raphaèle; Hubert, Florence; Klöfkorn, Robert 48 2011 Finite volume approximation of a diffusion-dissolution model and application to nuclear waste storage. Zbl 1419.76449 Angelini, O.; Chavant, C.; Chénier, E.; Eymard, R.; Granet, S. 18 2011 Study of a finite volume scheme for the regularized mean curvature flow level set equation. Zbl 1241.65072 Eymard, Robert; Handlovičová, Angela; Mikula, Karol 14 2011 Approximation of the biharmonic problem using P1 finite elements. Zbl 1261.65118 Eymard, Robert; Herbin, Raphaèle; Rhoudaf, Mohamed 9 2011 Gradient scheme approximations for diffusion problems. Zbl 1246.65205 Eymard, Robert; Herbin, Raphaèle 6 2011 MAC schemes on triangular meshes. Zbl 1246.76125 Eymard, Robert; Fuhrmann, Jürgen; Linke, Alexander 5 2011 Finite volume schemes for the approximation via characteristics of linear convection equations with irregular data. Zbl 1236.65117 Bouchut, F.; Eymard, R.; Prignet, A. 5 2011 Hybrid finite volume discretization of linear elasticity models on general meshes. Zbl 1246.76051 Di Pietro, Daniele A.; Eymard, Robert; Lemaire, Simon; Masson, Roland 4 2011 Benchmark 3D: the VAG scheme. Zbl 1246.76084 Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle 4 2011 An extension of the MAC scheme to some unstructured meshes. Zbl 1246.76113 Chénier, Eric; Eymard, Robert; Herbin, Raphaèle 2 2011 Importance and sensitivity analysis in dynamic reliability. Zbl 1217.90082 Eymard, Robert; Mercier, Sophie; Roussignol, Michel 2 2011 Multiphase flow in porous media using the VAG scheme. Zbl 1246.76085 Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle; Masson, Roland 1 2011 Gradient schemes for image processing. Zbl 1246.65163 Eymard, Robert; Handlovičová, Angela; Herbin, Raphaèle; Mikula, Karol; Stašová, Olga 1 2011 Benchmark 3D: the SUSHI scheme. Zbl 1246.76083 Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 1 2011 Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: A scheme using stabilization and hybrid interfaces. Zbl 1202.65144 Eymard, R.; Gallouët, T.; Herbin, R. 202 2010 A unified approach to mimetic finite difference, hybrid finite volume and mixed finite volume methods. Zbl 1191.65142 Droniou, Jérôme; Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 125 2010 Convergence of the MAC scheme for the compressible Stokes equations. Zbl 1417.65185 Eymard, R.; Gallouët, T.; Herbin, R.; Latché, J.-C. 31 2010 A convergent finite element-finite volume scheme for the compressible Stokes problem. II: The isentropic case. Zbl 1197.35192 Eymard, R.; Gallouët, T.; Herbin, R.; Latché, J. C. 26 2010 A finite volume scheme for diffusion problems on general meshes applying monotony constraints. Zbl 1261.65108 Angelini, O.; Chavant, C.; Chénier, E.; Eymard, R. 21 2010 A combined finite volume-finite element scheme for the discretization of strongly nonlinear convection-diffusion-reaction problems on nonmatching grids. Zbl 1192.65117 Eymard, Robert; Hilhorst, Danielle; Vohralík, Martin 18 2010 An abstract analysis framework for nonconforming approximations of diffusion problems on general meshes. Zbl 1490.65234 Agélas, Léo; Di Pietro, Daniele A.; Eymard, Robert; Masson, Roland 6 2010 Numerical approximation of a reaction-diffusion system with fast reversible reaction. Zbl 1206.35018 Eymard, Robert; Hilhorst, Danielle; Murakawa, Hideki; Olech, Michal 4 2010 Approximation of the biharmonic problem using piecewise linear finite elements. (Approximation d’un problème biharmonique par élément fini \(P1\).) Zbl 1205.65314 Eymard, Robert; Herbin, Raphaèle 2 2010 A nine-point finite volume scheme for the simulation of diffusion in heterogeneous media. Zbl 1166.65051 Agelas, Léo; Eymard, Robert; Herbin, Raphaèle 49 2009 Study of the mixed finite volume method for Stokes and Navier-Stokes equations. Zbl 1153.76044 Droniou, Jérôme; Eymard, Robert 22 2009 Cell centred discretisation of non linear elliptic problems on general multidimensional polyhedral grids. Zbl 1179.65138 Eymard, R.; Gallouët, T.; Herbin, R. 15 2009 Convergence analysis of a locally stabilized collocated finite volume scheme for incompressible flows. Zbl 1246.76087 Eymard, Robert; Herbin, Raphaèle; Latché, Jean-Claude; Piar, Bruno 8 2009 A collocated finite volume scheme to solve free convection for general non-conforming grids. Zbl 1158.76028 Chénier, Eric; Eymard, Robert; Herbin, Raphaèle 4 2009 A fast precipitation and dissolution reaction for a reaction-diffusion system arising in a porous medium. Zbl 1167.35396 Bouillard, N.; Eymard, R.; Henry, M.; Herbin, R.; Hilhorst, D. 3 2009 SUSHI: a scheme using stabilization and hybrid interfaces for anisotropic heterogeneous diffusion problems. Zbl 1422.65310 Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 15 2008 An implicit finite volume scheme for a scalar hyperbolic problem with measure data related to piecewise deterministic Markov processes. Zbl 1158.65008 Eymard, Robert; Mercier, Sophie; Prignet, Alain 7 2008 Discretization schemes for linear diffusion operators on general non-conforming meshes. Zbl 1422.65309 Eymard, R.; Gallouët, T.; Herbin, R. 7 2008 Finite volumes for complex applications. V. Proceedings of the 5th International Symposium, Aussois, June 2008. Zbl 1162.65302 5 2008 Use of the mixed finite volume method. Zbl 1374.76123 Chainais-Hillairet, C.; Droniou, J.; Eymard, R. 3 2008 Collocated finite volume schemes for the simulation of natural convective flows on unstructured meshes. Zbl 1133.76028 Chénier, Eric; Eymard, Robert; Herbin, Raphaèle; Touazi, Ouardia 1 2008 Simulation of natural convection with the collocated clustered finite volume scheme. Zbl 1237.76091 Touazi, O.; Chénier, E.; Eymard, R. 1 2008 Convergence analysis of a colocated finite volume scheme for the incompressible Navier-Stokes equations on general 2D or 3D meshes. Zbl 1173.76028 Eymard, R.; Herbin, R.; Latché, J. C. 32 2007 A new finite volume scheme for anisotropic diffusion problems on general grids: convergence analysis. Zbl 1112.65120 Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 32 2007 Existence of a solution for two phase flow in porous media: the case that the porosity depends on the pressure. Zbl 1110.35033 Daïm, F. Z.; Eymard, R.; Hilhorst, D. 12 2007 A new colocated finite volume scheme for the incompressible Navier-Stokes equations on general non matching grids. Zbl 1114.76047 Eymard, Robert; Herbin, Raphaèle 12 2007 Analysis tools for finite volume schemes. Zbl 1133.65062 Eymard, Robert; Gallouët, Thiery; Herbin, Raphaele; Latché, Jean Claude 11 2007 Diffusion with dissolution and precipitation in a porous medium: mathematical analysis and numerical approximation of a simplified model. Zbl 1130.76086 Bouillard, Nicolas; Eymard, Robert; Herbin, Raphaele; Montarnal, Philippe 10 2007 On the stability of colocated clustered finite volume simplicial discretizations for the 2D Stokes problem. Zbl 1137.76062 Eymard, R.; Herbin, R.; Latché, J. C.; Piar, B. 5 2007 A partial differential inequality in geological models. Zbl 1136.76047 Eymard, Robert; Gallouët, Thierry 2 2007 Finite volume schemes for nonlinear parabolic problems: another regularization method. Zbl 1134.35069 Eymard, Robert; Gallouët, Thierry; Herbin, Raphaele 2 2007 Mathematical and numerical study of a system of conservation laws. Zbl 1124.35005 Eymard, R.; Tillier, E. 1 2007 A mixed finite volume scheme for anisotropic diffusion problems on any grid. Zbl 1109.65099 Droniou, Jérôme; Eymard, Robert 96 2006 A cell-centred finite-volume approximation for anisotropic diffusion operators on unstructured meshes in any space dimension. Zbl 1093.65110 Eymard, R.; Gallouët, T.; Herbin, R. 66 2006 A combined finite volume-nonconforming/mixed-hybrid finite element scheme for degenerate parabolic problems. Zbl 1108.65099 Eymard, Robert; Hilhorst, Danielle; Vohralík, Martin 62 2006 A finite volume scheme for nonlinear parabolic equations derived from one-dimensional local Dirichlet problems. Zbl 1116.65101 Eymard, Robert; Fuhrmann, Jürgen; Gärtner, Klaus 33 2006 Numerical approximation of a two-phase flow problem in a porous medium with discontinuous capillary forces. Zbl 1145.76046 Enchéry, Guillaume; Eymard, R.; Michel, A. 24 2006 On a stabilized collocated finite volume scheme for the Stokes problem. Zbl 1160.76370 Eymard, Robert; Herbin, Raphaèle; Latché, Jean-Claude 24 2006 ...and 44 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,076 Authors 74 Eymard, Robert 61 Droniou, Jérôme 59 Herbin, Raphaèle 46 Gallouët, Thierry 39 Cancès, Clément 39 Masson, Roland 37 Di Pietro, Daniele Antonio 35 Yuan, Guangwei 33 Bradji, Abdallah 31 Saad, Mazen 29 Latché, Jean-Claude 27 Brenner, Konstantin 27 Chainais-Hillairet, Claire 26 Vohralík, Martin 25 Manzini, Gianmarco 24 Fuhrmann, Jürgen 21 Andreianov, Boris 21 Pop, Iuliu Sorin 21 Sheng, Zhiqiang 21 Zou, Qingsong 20 Ern, Alexandre 19 Wu, Jiming 18 Beirão da Veiga, Lourenço 18 Hilhorst, Danielle 18 Quenjel, EL Houssaine 16 Guichard, Cindy 16 Mikula, Karol 15 Radu, Florin Adrian 14 Bendahmane, Mostafa 14 Linke, Alexander 14 Terekhov, Kirill M. 13 Brezzi, Franco 13 Gao, Zhiming 13 Sepúlveda, Mauricio A. 12 Benkhaldoun, Fayssal 12 Karlsen, Kenneth Hvistendahl 12 Tchelepi, Hamdi A. 11 Amaziane, Brahim 11 Hérard, Jean-Marc 11 Risebro, Nils Henrik 11 Vallet, Guy 11 Zhang, Zhimin 10 Antonietti, Paola Francesca 10 Handlovičová, Angela 10 Jüngel, Ansgar 10 Krell, Stella 10 Lipnikov, Konstantin N. 10 Luo, Zhendong 10 Marini, Luisa Donatella 9 Alnashri, Yahya Ahmad 9 Bauzet, Caroline 9 Bessemoulin-Chatard, Marianne 9 Le Potier, Christophe 9 Lukáčová-Medviďová, Mária 9 Maltese, David 9 Nabet, Flore 9 Rivière, Beatrice M. 9 Russo, Alessandro 8 Castelletto, Nicola 8 Clain, Stéphane Louis 8 Després, Bruno 8 Enchéry, Guillaume 8 Goatin, Paola 8 Hamon, François P. 8 Li, Yonghai 8 Ohlberger, Mario 8 Rhoudaf, Mohamed 8 Rui, Hongxing 8 Tran, Quang Huy 8 Trenty, Laurent 8 Vovelle, Julien 8 Zhang, Tong 7 Cheng, Hanz Martin C. 7 Chénier, Eric 7 Coatléven, Julien 7 Farrell, Patricio 7 Fumagalli, Alessio 7 Hermeline, François 7 Jurak, Mladen 7 Ouaro, Stanislas 7 Saad, Bilal M. 7 Schlichting, André 7 Scotti, Anna 7 Seguin, Nicolas 7 She, Bangwei 7 Tambue, Antoine 7 ten Thije Boonkkamp, Jan H. M. 7 Yousef, Soleiman 7 Zhan, Huashui 6 Bertolazzi, Enrico 6 Boyer, Franck 6 Bürger, Raimund 6 Coudière, Yves 6 El Ossmani, Mustapha 6 Faille, Isabelle 6 Feireisl, Eduard 6 Glitzky, Annegret 6 Herda, Maxime 6 Ibrahim, Moustafa 6 Machado, Gaspar J. ...and 1,976 more Authors all top 5 Cited in 229 Serials 139 Journal of Computational Physics 83 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 65 Computers & Mathematics with Applications 61 Journal of Computational and Applied Mathematics 61 Numerische Mathematik 58 Computer Methods in Applied Mechanics and Engineering 58 Journal of Scientific Computing 53 Computational Geosciences 50 Numerical Methods for Partial Differential Equations 49 Applied Numerical Mathematics 47 Mathematics of Computation 41 SIAM Journal on Numerical Analysis 33 Comptes Rendus. Mathématique. Académie des Sciences, Paris 27 Computers and Fluids 27 Applied Mathematics and Computation 24 M\(^3\)AS. 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Analyse Non Linéaire 4 Applied Mathematics Letters 4 European Journal of Applied Mathematics 4 Computing and Visualization in Science 4 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 4 Vietnam Journal of Mathematics 4 Journal of Inequalities and Applications 4 Foundations of Computational Mathematics 4 Advances in Applied Mathematics and Mechanics 3 Journal of Engineering Mathematics 3 Journal of Functional Analysis 3 Journal of the Korean Mathematical Society 3 Kybernetika 3 Transactions of the American Mathematical Society 3 Japan Journal of Industrial and Applied Mathematics 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 SIAM Journal on Applied Mathematics 3 Stochastic Processes and their Applications 3 Numerical Linear Algebra with Applications 3 NoDEA. Nonlinear Differential Equations and Applications 3 Arab Journal of Mathematical Sciences 3 Doklady Mathematics 3 Journal of Mathematical Fluid Mechanics 3 Methodology and Computing in Applied Probability 3 Journal of Evolution Equations 3 Matematicheskoe Modelirovanie 3 Multiscale Modeling & Simulation 3 Boundary Value Problems 3 Networks and Heterogeneous Media 3 Science China. Mathematics 3 S\(\vec{\text{e}}\)MA Journal 3 AIMS Mathematics 2 Applicable Analysis 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Bulletin of Mathematical Biology 2 Chaos, Solitons and Fractals 2 Demonstratio Mathematica 2 Quarterly of Applied Mathematics 2 Chinese Annals of Mathematics. Series B 2 Physica D 2 Discrete & Computational Geometry 2 Numerical Algorithms ...and 129 more Serials all top 5 Cited in 44 Fields 1,292 Numerical analysis (65-XX) 887 Partial differential equations (35-XX) 738 Fluid mechanics (76-XX) 117 Mechanics of deformable solids (74-XX) 92 Biology and other natural sciences (92-XX) 69 Geophysics (86-XX) 56 Probability theory and stochastic processes (60-XX) 53 Statistical mechanics, structure of matter (82-XX) 47 Classical thermodynamics, heat transfer (80-XX) 40 Calculus of variations and optimal control; optimization (49-XX) 38 Optics, electromagnetic theory (78-XX) 26 Operations research, mathematical programming (90-XX) 24 Computer science (68-XX) 15 Functional analysis (46-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 14 Systems theory; control (93-XX) 13 Operator theory (47-XX) 12 Integral equations (45-XX) 12 Global analysis, analysis on manifolds (58-XX) 11 Ordinary differential equations (34-XX) 9 Dynamical systems and ergodic theory (37-XX) 8 Information and communication theory, circuits (94-XX) 7 Potential theory (31-XX) 7 Approximations and expansions (41-XX) 6 Real functions (26-XX) 5 General and overarching topics; collections (00-XX) 5 Differential geometry (53-XX) 4 Combinatorics (05-XX) 4 Convex and discrete geometry (52-XX) 4 Statistics (62-XX) 4 Quantum theory (81-XX) 3 Measure and integration (28-XX) 2 Category theory; homological algebra (18-XX) 2 Difference and functional equations (39-XX) 2 General topology (54-XX) 2 Astronomy and astrophysics (85-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of particles and systems (70-XX) Citations by Year