Edit Profile (opens in new tab) Herbin, Raphaèle Co-Author Distance Author ID: herbin.raphaele Published as: Herbin, Raphaèle; Herbin, R.; Herbin, Raphaele; Herbin, Raphaéle; Herbin, Raphaelle more...less Homepage: https://www.i2m.univ-amu.fr/perso/raphaele.herbin/ External Links: MGP · Wikidata · GND · IdRef · theses.fr Documents Indexed: 157 Publications since 1986, including 2 Books and 8 Additional arXiv Preprints 3 Contributions as Editor Co-Authors: 74 Co-Authors with 155 Joint Publications 1,253 Co-Co-Authors all top 5 Co-Authors 5 single-authored 73 Eymard, Robert 72 Gallouët, Thierry 55 Latché, Jean-Claude 11 Droniou, Jérôme 11 Guichard, Cindy 7 Gastaldo, Laura 7 Hubert, Florence 6 Chénier, Eric 6 Kheriji, Walid 6 Therme, Nicolas 5 Nasseri, Youssouf 4 Cautrès, René 4 Hilhorst, Danielle 4 Maltese, David 4 Masson, Roland 3 Bouillard, Nicolas 3 Brunel, Aubin 3 Gerbi, Stéphane 3 Mallem, K. 3 Nguyen, Trung Tan 3 Piar, Bruno 2 Babik, Fabrice 2 Batteux, Lea 2 Blanc, Philippe 2 Bradji, Abdallah 2 Conrad, Francis 2 Gallouët, Emily 2 Gutnic, Michaël 2 Handlovičová, Angela 2 Labergerie, Olivier 2 Marchand, Emmanuelle 2 Michel, Anthony 2 Mikula, Karol 2 Montarnal, Philippe 2 Novotný, Antonín 2 Ohayon, Jacques 2 Poullet, Pascal 2 Saleh, Khaled 2 Stašová, Olga 1 Agelas, Leo 1 Angot, Philippe 1 Bejček, Michal 1 Boyer, Franck 1 Chadwick, Richard S. 1 Champier, Sylvie 1 Coudière, Yves 1 Feistauer, Miloslav 1 Feron, Pierre 1 Fořt, Jaroslav 1 Fürst, Jiří 1 Ghilani, Mustapha 1 Grapsas, Dionysios 1 Grapsas, Dionysis 1 Hájek, Jaroslav 1 Halama, Jan 1 Henry, Gérard 1 Henry, Marie 1 Klöfkorn, Robert 1 Kröner, Dietmar 1 Lapuerta, Céline 1 Larcher, Aurélien 1 Le Tellier, Romain 1 Linke, Alexander 1 Mainguy, M. 1 Minjeaud, Sebastian 1 Mittelmann, Hans Detlef 1 Ohlberger, Mario 1 Piar, L. 1 Rhoudaf, Mohamed 1 Sonnad, Vijay 1 Teppaz, Pierre 1 Touazi, Ouardia 1 Vignal, Marie-Hélène 1 Zaza, Chady all top 5 Serials 10 IMA Journal of Numerical Analysis 9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 7 Mathematics of Computation 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 International Journal on Finite Volumes 5 SIAM Journal on Numerical Analysis 4 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 3 Calcolo 3 Numerische Mathematik 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Computers and Fluids 2 International Journal for Numerical Methods in Fluids 2 Mathematics and Computers in Simulation 2 Numerical Methods for Partial Differential Equations 2 Acta Mathematica Universitatis Comenianae. New Series 2 Computational and Applied Mathematics 2 Advances in Differential Equations 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 2 S\(\vec{\text{e}}\)MA Journal 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Computational Physics 1 Applied Mathematics and Computation 1 Czechoslovak Mathematical Journal 1 Mechanics Research Communications 1 Chinese Annals of Mathematics. Series B 1 Applied Numerical Mathematics 1 Applied Mathematics Letters 1 Differential and Integral Equations 1 Applications of Mathematics 1 SIAM Journal on Scientific Computing 1 Mathematical Engineering in Industry 1 Comptes Rendus de l’Académie des Sciences. Série II. Fascicule b 1 Computing and Visualization in Science 1 Journal of Mathematical Fluid Mechanics 1 Computational Geosciences 1 Nonlinear Analysis. Real World Applications 1 Foundations of Computational Mathematics 1 Computational Methods in Applied Mathematics 1 Mathématiques & Applications (Berlin) 1 Springer Proceedings in Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Références Sciences 1 SMAI Journal of Computational Mathematics all top 5 Fields 130 Numerical analysis (65-XX) 87 Fluid mechanics (76-XX) 79 Partial differential equations (35-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Mechanics of deformable solids (74-XX) 4 Biology and other natural sciences (92-XX) 3 General and overarching topics; collections (00-XX) 2 Operator theory (47-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Probability theory and stochastic processes (60-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 125 Publications have been cited 2,873 times in 1,473 Documents Cited by ▼ Year ▼ Finite volume methods. Zbl 0981.65095 Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 633 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. 188 2010 Benchmark on discretization schemes for anisotropic diffusion problems on general grids. Zbl 1422.65314 Herbin, Raphaèle; Hubert, Florence 135 2008 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 123 2010 The gradient discretisation method. Zbl 1435.65005 Droniou, Jérôme; Eymard, Robert; Gallouët, Thierry; Guichard, Cindy; Herbin, Raphaèle 94 2018 Small-stencil 3D schemes for diffusive flows in porous media. Zbl 1271.76324 Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle 84 2012 Convergence of a finite volume scheme for nonlinear degenerate parabolic equations. Zbl 1005.65099 Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle; Michel, Anthony 81 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 72 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. 65 2006 Mathematical study of a petroleum-engineering scheme. Zbl 1118.76355 Eymard, Robert; Herbin, Raphaèle; Michel, Anthony 61 2003 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. 57 1998 A nine-point finite volume scheme for the simulation of diffusion in heterogeneous media. Zbl 1166.65051 Agelas, Léo; Eymard, Robert; Herbin, Raphaèle 46 2009 An unconditionally stable pressure correction scheme for the compressible barotropic Navier-Stokes equations. Zbl 1132.35433 Gallouët, Thierry; Gastaldo, Laura; Herbin, Raphaele; Latché, Jean-Claude 45 2008 An error estimate for a finite volume scheme for a diffusion-convection problem on a triangular mesh. Zbl 0822.65085 Herbin, Raphaèle 43 1995 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 41 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 40 2014 Gradient schemes: generic tools for the numerical analysis of diffusion equations. Zbl 1346.65042 Droniou, Jérome; Eymard, Robert; Herbin, Raphaèle 35 2016 A new finite volume scheme for anisotropic diffusion problems on general grids: convergence analysis. Zbl 1112.65120 Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 31 2007 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. 31 2007 TP or not TP, that is the question. Zbl 1378.76118 Eymard, R.; Gallouët, T.; Guichard, C.; Herbin, R.; Masson, R. 31 2014 A convergent finite element-finite volume scheme for the compressible Stokes problem. I: The isothermal case. Zbl 1223.76041 Gallouët, T.; Herbin, R.; Latché, J.-C. 31 2009 Finite volume approximation of elliptic problems and convergence of an approximate gradient. Zbl 0982.65122 Eymard, R.; Gallouët, T.; Herbin, R. 30 2001 Discrete Sobolev inequalities and \(L^p\) error estimates for finite volume solutions of convection diffusion equations. Zbl 0990.65122 Coudière, Yves; Gallouët, Thierry; Herbin, Raphaèle 30 2001 Existence and uniqueness of the entropy solution to a nonlinear hyperbolic equation. Zbl 0830.35077 Eymard, R.; Gallouët, T.; Herbin, R. 28 1995 On some implicit and semi-implicit staggered schemes for the shallow water and Euler equations. Zbl 1304.35519 Herbin, R.; Kheriji, W.; Latché, J.-C. 27 2014 Existence of a solution to a coupled elliptic system. Zbl 0791.35043 Gallouët, T.; Herbin, R. 26 1994 Convergence of the MAC scheme for the compressible Stokes equations. Zbl 1417.65185 Eymard, R.; Gallouët, T.; Herbin, R.; Latché, J.-C. 25 2010 Convergence of finite volume schemes for semilinear convection diffusion equations. Zbl 0930.65118 Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 25 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. 24 2010 An unconditionally stable staggered pressure correction scheme for the compressible Navier-Stokes equations. Zbl 1416.76149 Grapsas, Dionysis; Herbin, Raphaèle; Kheriji, Walid; Latché, Jean-Claude 24 2016 On a stabilized collocated finite volume scheme for the Stokes problem. Zbl 1160.76370 Eymard, Robert; Herbin, Raphaèle; Latché, Jean-Claude 22 2006 Convergence of a finite volume scheme for a nonlinear hyperbolic equation. Zbl 0843.65068 Eymard, R.; Gallouët, T.; Herbin, R. 21 1995 A finite volume scheme for a noncoercive elliptic equation with measure data. Zbl 1058.65127 Droniou, Jérôme; Gallouët, Thierry; Herbin, Raphaèle 21 2003 Explicit staggered schemes for the compressible Euler equations. Zbl 1329.76206 Herbin, R.; Latché, J.-C.; Nguyen, T. T. 20 2013 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 Vertex centred discretization of two-phase Darcy flows on general meshes. Zbl 1357.76037 Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle; Masson, Roland 18 2012 Numerical approximation of an elliptic-parabolic equation arising in environment. Zbl 1060.76075 Eymard, R.; Gallouët, T.; Gutnic, M.; Herbin, R.; Hilhorst, D. 18 2000 Convergence of an upstream finite volume scheme for a nonlinear hyperbolic equation on a triangular mesh. Zbl 0801.65089 Champier, S.; Gallouët, T.; Herbin, R. 18 1993 Error estimate for approximate solutions of a nonlinear convection-diffusion problem. Zbl 1173.35563 Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 17 2002 Error estimates for a numerical approximation to the compressible barotropic Navier-Stokes equations. Zbl 1433.76083 Gallouët, Thierry; Herbin, Raphaèle; Maltese, David; Novotny, Antonin 16 2016 Finite volume schemes for the biharmonic problem on general meshes. Zbl 1271.65135 Eymard, R.; Gallouët, T.; Herbin, R.; Linke, A. 16 2012 An error estimate for finite volume methods for the Stokes equations on equilateral triangular meshes. Zbl 1116.76395 Blanc, Philippe; Eymard, Robert; Herbin, Raphaèle 15 2004 Staggered discretizations, pressure correction schemes and all speed barotropic flows. Zbl 1246.76094 Gastaldo, L.; Herbin, R.; Kheriji, W.; Lapuerta, C.; Latché, J.-C. 13 2011 Discretization of coupled heat and electrical diffusion problems by finite-element and finite-volume methods. Zbl 1144.78024 Bradji, Abdallah; Herbin, Raphaèle 13 2008 Gradient schemes for the Stefan problem. Zbl 1482.65162 Eymard, Robert; Féron, Pierre; Gallouët, Thierry; Herbin, Raphaèle; Guichard, Cindy 13 2013 W\(^{1,q }\) stability of the Fortin operator for the MAC scheme. Zbl 1248.76109 Gallouët, T.; Herbin, R.; Latché, J.-C. 12 2012 Staggered schemes for all speed flows. Zbl 1357.76038 Herbin, Raphaèle; Kheriji, Walid; Latche, Jean-Claude 12 2012 Cell centred discretisation of non linear elliptic problems on general multidimensional polyhedral grids. Zbl 1179.65138 Eymard, R.; Gallouët, T.; Herbin, R. 12 2009 A finite volume scheme for anisotropic diffusion problems. Zbl 1055.65124 Eymard, Robert; Gallouët, Thierry; Herbin, Raphaéle 12 2004 SUSHI: a scheme using stabilization and hybrid interfaces for anisotropic heterogeneous diffusion problems. Zbl 1422.65310 Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 12 2008 Pressure correction staggered schemes for barotropic one-phase and two-phase flows. Zbl 1391.76778 Kheriji, Walid; Herbin, Raphaèle; Latché, Jean-Claude 12 2013 Analysis tools for finite volume schemes. Zbl 1133.65062 Eymard, Robert; Gallouët, Thiery; Herbin, Raphaele; Latché, Jean Claude 11 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 11 2007 A discretization of the phase mass balance in fractional step algorithms for the drift-flux model. Zbl 1428.76118 Gastaldo, Laura; Herbin, Raphaèle; Latché, Jean-Claude 11 2011 Convergence of the marker-and-cell scheme for the incompressible Navier-Stokes equations on non-uniform grids. Zbl 1459.65168 Gallouët, T.; Herbin, R.; Latché, J.-C.; Mallem, K. 11 2018 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. 11 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 11 2007 Consistent segregated staggered schemes with explicit steps for the isentropic and full Euler equations. Zbl 1405.35149 Herbin, Raphaèle; Latché, Jean-Claude; Nguyen, Trung Tan 11 2018 The Lions domain decomposition algorithm on non-matching cell-centred finite volume meshes. Zbl 1065.65137 Cautrès, René; Herbin, Raphaèle; Hubert, Florence 10 2004 A MUSCL-type segregated – explicit staggered scheme for the Euler equations. Zbl 1410.76226 Gastaldo, Laura; Herbin, Raphaèle; Latché, Jean-Claude; Therme, Nicolas 10 2018 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 Convergence of linear finite elements for diffusion equations with measure data. Zbl 1038.65110 Gallouët, Thierry; Herbin, Raphaèle 8 2004 Finite volumes for complex applications VI: Problems and perspectives. FVCA 6, international symposium, Prague, Czech Republich, June 6–10, 2011. Vol. 1 and 2. Zbl 1220.76004 7 2011 Discontinuous Galerkin discretization and \(hp\)-refinement for the resolution of the neutron transport equation. Zbl 1267.74119 Fournier, D.; Herbin, R.; Le Tellier, R. 7 2013 Kinetic energy control in explicit finite volume discretizations of the incompressible and compressible Navier-Stokes equations. Zbl 1490.76149 Gallouët, T.; Herbin, R.; Latché, J.-C. 7 2010 Low Mach number limit of some staggered schemes for compressible barotropic flows. Zbl 1460.35258 Herbin, R.; Latché, J.-C.; Saleh, K. 7 2021 Approximation of obstacle problems by continuation methods. Zbl 0668.65048 Conrad, Francis; Herbin, Raphaele; Mittelmann, Hans D. 6 1988 Approximation of the biharmonic problem using P1 finite elements. Zbl 1261.65118 Eymard, Robert; Herbin, Raphaèle; Rhoudaf, Mohamed 6 2011 Finite volume schemes for elliptic and elliptic-hyperbolic problems on triangular meshes. Zbl 0897.76072 Herbin, Raphaèle; Labergerie, Olivier 6 1997 A monotonic method for the numerical solution of some free boundary value problems. Zbl 1040.65055 Herbin, Raphaèle 6 2003 Convergence of the MAC scheme for the steady-state incompressible Navier-Stokes equations on non-uniform grids. Zbl 1304.76038 Herbin, R.; Latché, J.-C.; Mallem, K. 6 2014 Finite volume approximation of elliptic problems with irregular data. Zbl 1052.65552 Gallouët, Thierry; Herbin, Raphaèle 6 1999 Convergence of finite volume methods on general meshes for non smooth solution of elliptic problems with cracks. Zbl 1052.65557 Angot, Philippe; Gallouët, Thierry; Herbin, Raphaèle 6 1999 Discretization schemes for linear diffusion operators on general non-conforming meshes. Zbl 1422.65309 Eymard, R.; Gallouët, T.; Herbin, R. 6 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 6 2015 A cell-centred pressure-correction scheme for the compressible Euler equations. Zbl 1467.65089 Herbin, Raphaèle; Latché, Jean-Claude; Zaza, Chady 6 2020 On the weak consistency of finite volumes schemes for conservation laws on general meshes. Zbl 1434.65149 Gallouët, T.; Herbin, R.; Latché, J.-C. 6 2019 A formally second-order cell centred scheme for convection-diffusion equations on general grids. Zbl 1430.76374 Piar, L.; Babik, F.; Herbin, R.; Latché, Jean-Claude 6 2013 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 the MAC scheme for the compressible stationary Navier-Stokes equations. Zbl 1390.35231 Gallouët, T.; Herbin, R.; Latché, J.-C.; Maltese, D. 5 2018 Finite volume approximation of a class of variational inequalities. Zbl 0990.65069 Herbin, Raphaèle; Marchand, Emmanuelle 5 2001 Gradient scheme approximations for diffusion problems. Zbl 1246.65205 Eymard, Robert; Herbin, Raphaèle 5 2011 Applications of approximate gradient schemes for nonlinear parabolic equations. Zbl 1340.65187 Eymard, Robert; Handlovičová, Angela; Herbin, Raphaèle; Mikula, Karol; Stašová, Olga 5 2015 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 A staggered finite volume scheme on general meshes for the Navier-Stokes equations in two space dimensions. Zbl 1490.65241 Eymard, Robert; Herbin, Raphaèle 5 2005 Conservativity and weak consistency of a class of staggered finite volume methods for the Euler equations. Zbl 1464.65097 Herbin, R.; Latché, J.-C.; Minjeaud, S.; Therme, N. 5 2021 Measure, integration, probability. (Mesure, intégration, probabilités.) Zbl 1273.28001 Gallouët, Thierry; Herbin, Raphaèle 5 2013 Convergence of the marker-and-cell scheme for the semi-stationary compressible Stokes problem. Zbl 07313829 Gallouët, T.; Herbin, R.; Maltese, D.; Novotny, A. 5 2017 Combined triangular FV-triangular FE method for nonlinear convection-diffusion problems. Zbl 1128.65079 Bejček, Michal; Feistauer, Miloslav; Gallouët, Thierry; Hájek, Jaroslav; Herbin, Raphaelle 4 2007 An unconditionally stable finite element-finite volume pressure correction scheme for the drift-flux model. Zbl 1258.76112 Gastaldo, Laura; Herbin, Raphaèle; Latché, Jean-Claude 4 2010 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 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. 4 2009 A posteriori error estimate for finite volume approximations of convection diffusion problems. Zbl 1060.65103 Herbin, Raphaèle; Ohlberger, Mario 3 2002 A uniqueness result for measure-valued solutions of nonlinear hyperbolic equations. Zbl 0806.35114 Gallouët, Thierry; Herbin, Raphaèle 3 1993 Benchmark 3D: the VAG scheme. Zbl 1246.76084 Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle 3 2011 Analysis of a fractional-step scheme for the \(\mathbf P_1\) radiative diffusion model. Zbl 1350.65094 Gallouët, T.; Herbin, R.; Larcher, A.; Latché, J.-C. 3 2016 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 3 2005 Kinetic energy control in the MAC discretization of compressible Navier-Stokes equations. Zbl 1490.76152 Herbin, Raphaele; Latché, Jean-Claude 3 2010 Finite volume schemes for nonlinear parabolic problems: another regularization method. Zbl 1134.35069 Eymard, Robert; Gallouët, Thierry; Herbin, Raphaele 2 2007 Finite volumes for complex applications III. Problems and perspectives. Papers from the 3rd symposium of finite volumes for complex applications, Porquerolles, France, June 24–28, 2002. Zbl 1049.65002 2 2002 A consistent quasi-second-order staggered scheme for the two-dimensional shallow water equations. Zbl 1511.65091 Herbin, Raphaèle; Latché, Jean-Claude; Nasseri, Youssouf; Therme, Nicolas 1 2023 Lax-Wendroff consistency of finite volume schemes for systems of non linear conservation laws: extension to staggered schemes. Zbl 1490.65169 Gallouët, T.; Herbin, R.; Latché, J.-C. 2 2022 Low Mach number limit of some staggered schemes for compressible barotropic flows. Zbl 1460.35258 Herbin, R.; Latché, J.-C.; Saleh, K. 7 2021 Conservativity and weak consistency of a class of staggered finite volume methods for the Euler equations. Zbl 1464.65097 Herbin, R.; Latché, J.-C.; Minjeaud, S.; Therme, N. 5 2021 Consistent internal energy based schemes for the compressible Euler equations. Zbl 1498.65141 Gallouët, T.; Herbin, R.; Latché, J.-C.; Therme, N. 2 2021 A cell-centred pressure-correction scheme for the compressible Euler equations. Zbl 1467.65089 Herbin, Raphaèle; Latché, Jean-Claude; Zaza, Chady 6 2020 The gradient discretisation method for linear advection problems. Zbl 1451.65175 Droniou, Jérôme; Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 2 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 1 2020 On the weak consistency of finite volumes schemes for conservation laws on general meshes. Zbl 1434.65149 Gallouët, T.; Herbin, R.; Latché, J.-C. 6 2019 A decoupled staggered scheme for the shallow water equations. Zbl 1471.65116 Herbin, Raphaèle; Latché, Jean-Claude; Nasseri, Youssouf; Therme, Nicolas 1 2019 A class of staggered schemes for the compressible Euler equations. Zbl 1422.65208 Herbin, Raphaele; Latché, Jean-Claude 1 2019 The gradient discretisation method. Zbl 1435.65005 Droniou, Jérôme; Eymard, Robert; Gallouët, Thierry; Guichard, Cindy; Herbin, Raphaèle 94 2018 Convergence of the marker-and-cell scheme for the incompressible Navier-Stokes equations on non-uniform grids. Zbl 1459.65168 Gallouët, T.; Herbin, R.; Latché, J.-C.; Mallem, K. 11 2018 Consistent segregated staggered schemes with explicit steps for the isentropic and full Euler equations. Zbl 1405.35149 Herbin, Raphaèle; Latché, Jean-Claude; Nguyen, Trung Tan 11 2018 A MUSCL-type segregated – explicit staggered scheme for the Euler equations. Zbl 1410.76226 Gastaldo, Laura; Herbin, Raphaèle; Latché, Jean-Claude; Therme, Nicolas 10 2018 Convergence of the MAC scheme for the compressible stationary Navier-Stokes equations. Zbl 1390.35231 Gallouët, T.; Herbin, R.; Latché, J.-C.; Maltese, D. 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 Convergence of the marker-and-cell scheme for the semi-stationary compressible Stokes problem. Zbl 07313829 Gallouët, T.; Herbin, R.; Maltese, D.; Novotny, A. 5 2017 Low Mach number limit of a pressure correction MAC scheme for compressible barotropic flows. Zbl 1391.76415 Herbin, Raphaèle; Latché, Jean-Claude; Saleh, Khaled 1 2017 Convergence of the MAC scheme for variable density flows. Zbl 1391.76407 Gallouët, T.; Herbin, R.; Latché, J.-C.; Mallem, K. 1 2017 Gradient schemes: generic tools for the numerical analysis of diffusion equations. Zbl 1346.65042 Droniou, Jérome; Eymard, Robert; Herbin, Raphaèle 35 2016 An unconditionally stable staggered pressure correction scheme for the compressible Navier-Stokes equations. Zbl 1416.76149 Grapsas, Dionysis; Herbin, Raphaèle; Kheriji, Walid; Latché, Jean-Claude 24 2016 Error estimates for a numerical approximation to the compressible barotropic Navier-Stokes equations. Zbl 1433.76083 Gallouët, Thierry; Herbin, Raphaèle; Maltese, David; Novotny, Antonin 16 2016 Analysis of a fractional-step scheme for the \(\mathbf P_1\) radiative diffusion model. Zbl 1350.65094 Gallouët, T.; Herbin, R.; Larcher, A.; Latché, J.-C. 3 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 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 \( \mathcal{RT}_k\) mixed finite elements for some nonlinear problems. Zbl 07313415 Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 1 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 40 2014 TP or not TP, that is the question. Zbl 1378.76118 Eymard, R.; Gallouët, T.; Guichard, C.; Herbin, R.; Masson, R. 31 2014 On some implicit and semi-implicit staggered schemes for the shallow water and Euler equations. Zbl 1304.35519 Herbin, R.; Kheriji, W.; Latché, J.-C. 27 2014 Convergence of the MAC scheme for the steady-state incompressible Navier-Stokes equations on non-uniform grids. Zbl 1304.76038 Herbin, R.; Latché, J.-C.; Mallem, K. 6 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 72 2013 Explicit staggered schemes for the compressible Euler equations. Zbl 1329.76206 Herbin, R.; Latché, J.-C.; Nguyen, T. T. 20 2013 Gradient schemes for the Stefan problem. Zbl 1482.65162 Eymard, Robert; Féron, Pierre; Gallouët, Thierry; Herbin, Raphaèle; Guichard, Cindy 13 2013 Pressure correction staggered schemes for barotropic one-phase and two-phase flows. Zbl 1391.76778 Kheriji, Walid; Herbin, Raphaèle; Latché, Jean-Claude 12 2013 Discontinuous Galerkin discretization and \(hp\)-refinement for the resolution of the neutron transport equation. Zbl 1267.74119 Fournier, D.; Herbin, R.; Le Tellier, R. 7 2013 A formally second-order cell centred scheme for convection-diffusion equations on general grids. Zbl 1430.76374 Piar, L.; Babik, F.; Herbin, R.; Latché, Jean-Claude 6 2013 Measure, integration, probability. (Mesure, intégration, probabilités.) Zbl 1273.28001 Gallouët, Thierry; Herbin, Raphaèle 5 2013 Small-stencil 3D schemes for diffusive flows in porous media. Zbl 1271.76324 Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle 84 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 Finite volume schemes for the biharmonic problem on general meshes. Zbl 1271.65135 Eymard, R.; Gallouët, T.; Herbin, R.; Linke, A. 16 2012 W\(^{1,q }\) stability of the Fortin operator for the MAC scheme. Zbl 1248.76109 Gallouët, T.; Herbin, R.; Latché, J.-C. 12 2012 Staggered schemes for all speed flows. Zbl 1357.76038 Herbin, Raphaèle; Kheriji, Walid; Latche, Jean-Claude 12 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 41 2011 Staggered discretizations, pressure correction schemes and all speed barotropic flows. Zbl 1246.76094 Gastaldo, L.; Herbin, R.; Kheriji, W.; Lapuerta, C.; Latché, J.-C. 13 2011 A discretization of the phase mass balance in fractional step algorithms for the drift-flux model. Zbl 1428.76118 Gastaldo, Laura; Herbin, Raphaèle; Latché, Jean-Claude 11 2011 Finite volumes for complex applications VI: Problems and perspectives. FVCA 6, international symposium, Prague, Czech Republich, June 6–10, 2011. Vol. 1 and 2. Zbl 1220.76004 7 2011 Approximation of the biharmonic problem using P1 finite elements. Zbl 1261.65118 Eymard, Robert; Herbin, Raphaèle; Rhoudaf, Mohamed 6 2011 Gradient scheme approximations for diffusion problems. Zbl 1246.65205 Eymard, Robert; Herbin, Raphaèle 5 2011 Benchmark 3D: the VAG scheme. Zbl 1246.76084 Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle 3 2011 An extension of the MAC scheme to some unstructured meshes. Zbl 1246.76113 Chénier, Eric; Eymard, Robert; Herbin, Raphaèle 2 2011 Gradient schemes for image processing. Zbl 1246.65163 Eymard, Robert; Handlovičová, Angela; Herbin, Raphaèle; Mikula, Karol; Stašová, Olga 2 2011 Multiphase flow in porous media using the VAG scheme. Zbl 1246.76085 Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle; Masson, Roland 1 2011 Playing with Burgers’s equation. Zbl 1246.76093 Gallouët, T.; Herbin, R.; Latché, J.-C.; Nguyen, T. T. 1 2011 Discretization of the viscous dissipation term with the MAC scheme. Zbl 1246.76063 Babik, F.; Herbin, R.; Kheriji, W.; Latché, J.-C. 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. 188 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 123 2010 Convergence of the MAC scheme for the compressible Stokes equations. Zbl 1417.65185 Eymard, R.; Gallouët, T.; Herbin, R.; Latché, J.-C. 25 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. 24 2010 Kinetic energy control in explicit finite volume discretizations of the incompressible and compressible Navier-Stokes equations. Zbl 1490.76149 Gallouët, T.; Herbin, R.; Latché, J.-C. 7 2010 An unconditionally stable finite element-finite volume pressure correction scheme for the drift-flux model. Zbl 1258.76112 Gastaldo, Laura; Herbin, Raphaèle; Latché, Jean-Claude 4 2010 Kinetic energy control in the MAC discretization of compressible Navier-Stokes equations. Zbl 1490.76152 Herbin, Raphaele; Latché, Jean-Claude 3 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 46 2009 A convergent finite element-finite volume scheme for the compressible Stokes problem. I: The isothermal case. Zbl 1223.76041 Gallouët, T.; Herbin, R.; Latché, J.-C. 31 2009 Cell centred discretisation of non linear elliptic problems on general multidimensional polyhedral grids. Zbl 1179.65138 Eymard, R.; Gallouët, T.; Herbin, R. 12 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 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. 4 2009 A collocated finite volume scheme to solve free convection for general non-conforming grids. Zbl 1158.76028 Chénier, Eric; Eymard, Robert; Herbin, Raphaèle 2 2009 Benchmark on discretization schemes for anisotropic diffusion problems on general grids. Zbl 1422.65314 Herbin, Raphaèle; Hubert, Florence 135 2008 An unconditionally stable pressure correction scheme for the compressible barotropic Navier-Stokes equations. Zbl 1132.35433 Gallouët, Thierry; Gastaldo, Laura; Herbin, Raphaele; Latché, Jean-Claude 45 2008 Discretization of coupled heat and electrical diffusion problems by finite-element and finite-volume methods. Zbl 1144.78024 Bradji, Abdallah; Herbin, Raphaèle 13 2008 SUSHI: a scheme using stabilization and hybrid interfaces for anisotropic heterogeneous diffusion problems. Zbl 1422.65310 Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 12 2008 Discretization schemes for linear diffusion operators on general non-conforming meshes. Zbl 1422.65309 Eymard, R.; Gallouët, T.; Herbin, R. 6 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 A pressure correction scheme for the homogeneous two-phase flow model with two barotropic phases. Zbl 1374.76144 Gastaldo, Laura; Herbin, Raphaèle; Latché, Jean-Claude 1 2008 A new finite volume scheme for anisotropic diffusion problems on general grids: convergence analysis. Zbl 1112.65120 Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 31 2007 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. 31 2007 Analysis tools for finite volume schemes. Zbl 1133.65062 Eymard, Robert; Gallouët, Thiery; Herbin, Raphaele; Latché, Jean Claude 11 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 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 11 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 Combined triangular FV-triangular FE method for nonlinear convection-diffusion problems. Zbl 1128.65079 Bejček, Michal; Feistauer, Miloslav; Gallouët, Thierry; Hájek, Jaroslav; Herbin, Raphaelle 4 2007 Finite volume schemes for nonlinear parabolic problems: another regularization method. Zbl 1134.35069 Eymard, Robert; Gallouët, Thierry; Herbin, Raphaele 2 2007 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. 65 2006 On a stabilized collocated finite volume scheme for the Stokes problem. Zbl 1160.76370 Eymard, Robert; Herbin, Raphaèle; Latché, Jean-Claude 22 2006 A staggered finite volume scheme on general meshes for the Navier-Stokes equations in two space dimensions. Zbl 1490.65241 Eymard, Robert; Herbin, Raphaèle 5 2005 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 3 2005 An error estimate for finite volume methods for the Stokes equations on equilateral triangular meshes. Zbl 1116.76395 Blanc, Philippe; Eymard, Robert; Herbin, Raphaèle 15 2004 A finite volume scheme for anisotropic diffusion problems. Zbl 1055.65124 Eymard, Robert; Gallouët, Thierry; Herbin, Raphaéle 12 2004 The Lions domain decomposition algorithm on non-matching cell-centred finite volume meshes. Zbl 1065.65137 Cautrès, René; Herbin, Raphaèle; Hubert, Florence 10 2004 Convergence of linear finite elements for diffusion equations with measure data. Zbl 1038.65110 Gallouët, Thierry; Herbin, Raphaèle 8 2004 A finite volume scheme on general meshes for the steady Navier-Stokes equations in two space dimensions. Zbl 1173.76361 Eymard, Robert; Herbin, Raphaèle 2 2004 Mathematical study of a petroleum-engineering scheme. Zbl 1118.76355 Eymard, Robert; Herbin, Raphaèle; Michel, Anthony 61 2003 A finite volume scheme for a noncoercive elliptic equation with measure data. Zbl 1058.65127 Droniou, Jérôme; Gallouët, Thierry; Herbin, Raphaèle 21 2003 A monotonic method for the numerical solution of some free boundary value problems. Zbl 1040.65055 Herbin, Raphaèle 6 2003 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 Convergence of a finite volume scheme for nonlinear degenerate parabolic equations. Zbl 1005.65099 Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle; Michel, Anthony 81 2002 Error estimate for approximate solutions of a nonlinear convection-diffusion problem. Zbl 1173.35563 Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 17 2002 A posteriori error estimate for finite volume approximations of convection diffusion problems. Zbl 1060.65103 Herbin, Raphaèle; Ohlberger, Mario 3 2002 ...and 25 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,796 Authors 67 Eymard, Robert 63 Herbin, Raphaèle 55 Droniou, Jérôme 48 Gallouët, Thierry 42 Di Pietro, Daniele Antonio 39 Latché, Jean-Claude 37 Cancès, Clément 33 Bradji, Abdallah 31 Masson, Roland 30 Yuan, Guangwei 26 Brenner, Konstantin 24 Chainais-Hillairet, Claire 23 Manzini, Gianmarco 23 Saad, Mazen 23 Vohralík, Martin 21 Fuhrmann, Jürgen 20 Wu, Jiming 19 Andreianov, Boris 18 Beirão da Veiga, Lourenço 17 Ern, Alexandre 17 Quenjel, EL Houssaine 17 Zou, Qingsong 16 Hilhorst, Danielle 15 Brezzi, Franco 15 Guichard, Cindy 15 Sheng, Zhiqiang 14 Lukáčová-Medviďová, Mária 13 Gao, Zhiming 13 Karlsen, Kenneth Hvistendahl 13 Mikula, Karol 13 Pop, Iuliu Sorin 12 Marini, Luisa Donatella 12 Terekhov, Kirill M. 11 Bendahmane, Mostafa 11 Benkhaldoun, Fayssal 11 Goudon, Thierry 11 Krell, Stella 11 Linke, Alexander 11 Lipnikov, Konstantin N. 11 Risebro, Nils Henrik 11 Russo, Alessandro 11 Sepúlveda, Mauricio A. 10 Antonietti, Paola Francesca 10 Després, Bruno 10 Feireisl, Eduard 10 Le Potier, Christophe 10 She, Bangwei 10 Zhang, Zhimin 9 Bessemoulin-Chatard, Marianne 9 Clain, Stéphane Louis 9 Hérard, Jean-Marc 9 Luo, Zhendong 9 Nabet, Flore 9 Tchelepi, Hamdi A. 8 Alnashri, Yahya Ahmad 8 Bauzet, Caroline 8 Glitzky, Annegret 8 Handlovičová, Angela 8 Hermeline, François 8 Minjeaud, Sebastian 8 Ohlberger, Mario 8 Rhoudaf, Mohamed 8 Rivière, Beatrice M. 8 Rui, Hongxing 7 Cheng, Hanz Martin C. 7 Chénier, Eric 7 Coatléven, Julien 7 Formaggia, Luca 7 Fumagalli, Alessio 7 Goatin, Paola 7 Maltese, David 7 Murakawa, Hideki 7 Scotti, Anna 7 Vovelle, Julien 6 Botti, Michele 6 Bürger, Raimund 6 Castelletto, Nicola 6 Coudière, Yves 6 Gaspar, Francisco José 6 Herda, Maxime 6 Jüngel, Ansgar 6 Machado, Gaspar J. 6 Mizerová, Hana 6 Ouaro, Stanislas 6 Ruiz-Baier, Ricardo 6 Saleh, Khaled 6 Schwab, Christoph 6 Su, Shuai 6 Tambue, Antoine 6 Temam, Roger Meyer 6 ten Thije Boonkkamp, Jan H. M. 6 Verani, Marco 6 Vignal, Marie-Hélène 6 Wang, Yihong 6 Yang, Min 6 Ye, Xiu 6 Yousef, Soleiman 5 Abgrall, Rémi 5 Agelas, Leo 5 Blanc, Xavier ...and 1,696 more Authors all top 5 Cited in 197 Serials 131 Journal of Computational Physics 83 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 62 Numerische Mathematik 55 Computers & Mathematics with Applications 55 Journal of Scientific Computing 54 Journal of Computational and Applied Mathematics 51 Computer Methods in Applied Mechanics and Engineering 48 Mathematics of Computation 42 Applied Numerical Mathematics 38 SIAM Journal on Numerical Analysis 38 Computational Geosciences 35 Numerical Methods for Partial Differential Equations 34 Comptes Rendus. Mathématique. Académie des Sciences, Paris 27 Computers and Fluids 26 Applied Mathematics and Computation 22 M\(^3\)AS. 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Zeitschrift für angewandte Mathematik und Physik 2 Chaos, Solitons and Fractals 2 Computing 2 Journal of the Korean Mathematical Society 2 Kybernetika 2 Mathematische Nachrichten 2 Quarterly of Applied Mathematics 2 Ricerche di Matematica 2 Chinese Annals of Mathematics. Series B 2 Acta Applicandae Mathematicae 2 Discrete & Computational Geometry 2 European Journal of Applied Mathematics 2 Computational Mathematics and Mathematical Physics 2 International Journal of Computer Mathematics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 SIAM Journal on Applied Mathematics 2 Stochastic Processes and their Applications 2 Bulletin of the American Mathematical Society. New Series 2 Numerical Linear Algebra with Applications 2 NoDEA. Nonlinear Differential Equations and Applications 2 Arab Journal of Mathematical Sciences 2 International Journal of Computational Fluid Dynamics 2 Journal of Inequalities and Applications 2 Lobachevskii Journal of Mathematics 2 Journal of Evolution Equations 2 Matematicheskoe Modelirovanie ...and 97 more Serials all top 5 Cited in 42 Fields 1,168 Numerical analysis (65-XX) 794 Partial differential equations (35-XX) 661 Fluid mechanics (76-XX) 97 Mechanics of deformable solids (74-XX) 73 Biology and other natural sciences (92-XX) 52 Geophysics (86-XX) 45 Statistical mechanics, structure of matter (82-XX) 43 Classical thermodynamics, heat transfer (80-XX) 37 Probability theory and stochastic processes (60-XX) 35 Calculus of variations and optimal control; optimization (49-XX) 35 Optics, electromagnetic theory (78-XX) 19 Operations research, mathematical programming (90-XX) 17 Functional analysis (46-XX) 17 Computer science (68-XX) 11 Global analysis, analysis on manifolds (58-XX) 10 Dynamical systems and ergodic theory (37-XX) 10 Integral equations (45-XX) 8 Information and communication theory, circuits (94-XX) 7 Potential theory (31-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Measure and integration (28-XX) 6 Approximations and expansions (41-XX) 5 Real functions (26-XX) 5 Ordinary differential equations (34-XX) 5 Operator theory (47-XX) 5 Systems theory; control (93-XX) 4 Combinatorics (05-XX) 3 General and overarching topics; collections (00-XX) 3 Convex and discrete geometry (52-XX) 3 Mechanics of particles and systems (70-XX) 2 Difference and functional equations (39-XX) 2 Differential geometry (53-XX) 2 General topology (54-XX) 2 Quantum theory (81-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 Statistics (62-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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