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 External Links: MGP · Wikidata · GND · IdRef · theses.fr Documents Indexed: 149 Publications since 1986, including 2 Books 3 Contributions as Editor Co-Authors: 74 Co-Authors with 147 Joint Publications 1,162 Co-Co-Authors all top 5 Co-Authors 5 single-authored 70 Eymard, Robert 67 Gallouët, Thierry 49 Latché, Jean-Claude 10 Droniou, Jérôme 10 Guichard, Cindy 7 Hubert, Florence 6 Chénier, Eric 6 Gastaldo, Laura 6 Kheriji, Walid 5 Nasseri, Youssouf 5 Therme, Nicolas 4 Cautrès, René 4 Hilhorst, Danielle 4 Maltese, David 4 Masson, Roland 3 Bouillard, Nicolas 3 Gerbi, Stéphane 3 Mallem, K. 3 Nguyen, Trung Tan 3 Piar, Bruno 2 Babik, Fabrice 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 Saleh, Khaled 2 Stašová, Olga 1 Agelas, Leo 1 Angot, Philippe 1 Batteux, Lea 1 Bejček, Michal 1 Boyer, Franck 1 Brunel, Aubin 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 Poullet, Pascal 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 127 Numerical analysis (65-XX) 85 Fluid mechanics (76-XX) 78 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 121 Publications have been cited 2,653 times in 1,368 Documents Cited by ▼ Year ▼ Finite volume methods. Zbl 0981.65095Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 573 2000 Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: A scheme using stabilization and hybrid interfaces. Zbl 1202.65144Eymard, R.; Gallouët, T.; Herbin, R. 171 2010 Benchmark on discretization schemes for anisotropic diffusion problems on general grids. Zbl 1422.65314Herbin, Raphaèle; Hubert, Florence 123 2008 A unified approach to mimetic finite difference, hybrid finite volume and mixed finite volume methods. Zbl 1191.65142Droniou, Jérôme; Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 114 2010 Small-stencil 3D schemes for diffusive flows in porous media. Zbl 1271.76324Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle 79 2012 Convergence of a finite volume scheme for nonlinear degenerate parabolic equations. Zbl 1005.65099Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle; Michel, Anthony 79 2002 The gradient discretisation method. Zbl 1435.65005Droniou, Jérôme; Eymard, Robert; Gallouët, Thierry; Guichard, Cindy; Herbin, Raphaèle 74 2018 Gradient schemes: a generic framework for the discretisation of linear, nonlinear and nonlocal elliptic and parabolic equations. Zbl 1281.65136Droniou, Jerome; Eymard, Robert; Gallouet, Thierry; Herbin, Raphaele 69 2013 A cell-centred finite-volume approximation for anisotropic diffusion operators on unstructured meshes in any space dimension. Zbl 1093.65110Eymard, R.; Gallouët, T.; Herbin, R. 62 2006 Mathematical study of a petroleum-engineering scheme. Zbl 1118.76355Eymard, Robert; Herbin, Raphaèle; Michel, Anthony 59 2003 Error estimates for the approximate solutions of a nonlinear hyperbolic equation given by finite volume schemes. Zbl 0973.65078Eymard, R.; Gallouët, T.; Ghilani, M.; Herbin, R. 54 1998 An unconditionally stable pressure correction scheme for the compressible barotropic Navier-Stokes equations. Zbl 1132.35433Gallouët, Thierry; Gastaldo, Laura; Herbin, Raphaele; Latché, Jean-Claude 42 2008 An error estimate for a finite volume scheme for a diffusion-convection problem on a triangular mesh. Zbl 0822.65085Herbin, Raphaèle 42 1995 A nine-point finite volume scheme for the simulation of diffusion in heterogeneous media. Zbl 1166.65051Agelas, Léo; Eymard, Robert; Herbin, Raphaèle 41 2009 Gradient schemes for two-phase flow in heterogeneous porous media and Richards equation. Zbl 1297.76159Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle; Masson, Roland 39 2014 3D benchmark on discretization schemes for anisotropic diffusion problems on general grids. Zbl 1246.76053Eymard, Robert; Henry, Gérard; Herbin, Raphaèle; Hubert, Florence; Klöfkorn, Robert 38 2011 Gradient schemes: generic tools for the numerical analysis of diffusion equations. Zbl 1346.65042Droniou, Jérome; Eymard, Robert; Herbin, Raphaèle 33 2016 Convergence analysis of a colocated finite volume scheme for the incompressible Navier-Stokes equations on general 2D or 3D meshes. Zbl 1173.76028Eymard, R.; Herbin, R.; Latché, J. C. 31 2007 Discrete Sobolev inequalities and \(L^p\) error estimates for finite volume solutions of convection diffusion equations. Zbl 0990.65122Coudière, Yves; Gallouët, Thierry; Herbin, Raphaèle 30 2001 A new finite volume scheme for anisotropic diffusion problems on general grids: convergence analysis. Zbl 1112.65120Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 30 2007 A convergent finite element-finite volume scheme for the compressible Stokes problem. I: The isothermal case. Zbl 1223.76041Gallouët, T.; Herbin, R.; Latché, J.-C. 30 2009 TP or not TP, that is the question. Zbl 1378.76118Eymard, R.; Gallouët, T.; Guichard, C.; Herbin, R.; Masson, R. 30 2014 Finite volume approximation of elliptic problems and convergence of an approximate gradient. Zbl 0982.65122Eymard, R.; Gallouët, T.; Herbin, R. 29 2001 Existence and uniqueness of the entropy solution to a nonlinear hyperbolic equation. Zbl 0830.35077Eymard, R.; Gallouët, T.; Herbin, R. 28 1995 Existence of a solution to a coupled elliptic system. Zbl 0791.35043Gallouët, T.; Herbin, R. 25 1994 On some implicit and semi-implicit staggered schemes for the shallow water and Euler equations. Zbl 1304.35519Herbin, R.; Kheriji, W.; Latché, J.-C. 24 2014 Convergence of finite volume schemes for semilinear convection diffusion equations. Zbl 0930.65118Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 24 1999 Convergence of the MAC scheme for the compressible Stokes equations. Zbl 1417.65185Eymard, R.; Gallouët, T.; Herbin, R.; Latché, J.-C. 22 2010 An unconditionally stable staggered pressure correction scheme for the compressible Navier-Stokes equations. Zbl 1416.76149Grapsas, Dionysis; Herbin, Raphaèle; Kheriji, Walid; Latché, Jean-Claude 22 2016 A convergent finite element-finite volume scheme for the compressible Stokes problem. II: The isentropic case. Zbl 1197.35192Eymard, R.; Gallouët, T.; Herbin, R.; Latché, J. C. 22 2010 Convergence of a finite volume scheme for a nonlinear hyperbolic equation. Zbl 0843.65068Eymard, R.; Gallouët, T.; Herbin, R. 21 1995 A finite volume scheme for a noncoercive elliptic equation with measure data. Zbl 1058.65127Droniou, Jérôme; Gallouët, Thierry; Herbin, Raphaèle 20 2003 On a stabilized collocated finite volume scheme for the Stokes problem. Zbl 1160.76370Eymard, Robert; Herbin, Raphaèle; Latché, Jean-Claude 20 2006 An error estimate for the approximation of linear parabolic equations by the gradient discretization method. Zbl 1372.65256Droniou, J.; Eymard, R.; Gallouët, T.; Guichard, C.; Herbin, R. 19 2017 Numerical approximation of an elliptic-parabolic equation arising in environment. Zbl 1060.76075Eymard, R.; Gallouët, T.; Gutnic, M.; Herbin, R.; Hilhorst, D. 18 2000 Vertex centred discretization of two-phase Darcy flows on general meshes. Zbl 1357.76037Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle; Masson, Roland 18 2012 Convergence of an upstream finite volume scheme for a nonlinear hyperbolic equation on a triangular mesh. Zbl 0801.65089Champier, S.; Gallouët, T.; Herbin, R. 18 1993 Explicit staggered schemes for the compressible Euler equations. Zbl 1329.76206Herbin, R.; Latché, J.-C.; Nguyen, T. T. 18 2013 Error estimate for approximate solutions of a nonlinear convection-diffusion problem. Zbl 1173.35563Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 15 2002 Error estimates for a numerical approximation to the compressible barotropic Navier-Stokes equations. Zbl 1433.76083Gallouët, Thierry; Herbin, Raphaèle; Maltese, David; Novotny, Antonin 14 2016 An error estimate for finite volume methods for the Stokes equations on equilateral triangular meshes. Zbl 1116.76395Blanc, Philippe; Eymard, Robert; Herbin, Raphaèle 13 2004 Finite volume schemes for the biharmonic problem on general meshes. Zbl 1271.65135Eymard, R.; Gallouët, T.; Herbin, R.; Linke, A. 13 2012 Discretization of coupled heat and electrical diffusion problems by finite-element and finite-volume methods. Zbl 1144.78024Bradji, Abdallah; Herbin, Raphaèle 13 2008 A finite volume scheme for anisotropic diffusion problems. Zbl 1055.65124Eymard, Robert; Gallouët, Thierry; Herbin, Raphaéle 12 2004 Staggered discretizations, pressure correction schemes and all speed barotropic flows. Zbl 1246.76094Gastaldo, L.; Herbin, R.; Kheriji, W.; Lapuerta, C.; Latché, J.-C. 12 2011 Cell centred discretisation of non linear elliptic problems on general multidimensional polyhedral grids. Zbl 1179.65138Eymard, R.; Gallouët, T.; Herbin, R. 12 2009 SUSHI: a scheme using stabilization and hybrid interfaces for anisotropic heterogeneous diffusion problems. Zbl 1422.65310Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 12 2008 Pressure correction staggered schemes for barotropic one-phase and two-phase flows. Zbl 1391.76778Kheriji, Walid; Herbin, Raphaèle; Latché, Jean-Claude 12 2013 W\(^{1,q }\) stability of the Fortin operator for the MAC scheme. Zbl 1248.76109Gallouët, T.; Herbin, R.; Latché, J.-C. 11 2012 Analysis tools for finite volume schemes. Zbl 1133.65062Eymard, 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 1114.76047Eymard, Robert; Herbin, Raphaèle 11 2007 A discretization of the phase mass balance in fractional step algorithms for the drift-flux model. Zbl 1428.76118Gastaldo, Laura; Herbin, Raphaèle; Latché, Jean-Claude 11 2011 Diffusion with dissolution and precipitation in a porous medium: mathematical analysis and numerical approximation of a simplified model. Zbl 1130.76086Bouillard, Nicolas; Eymard, Robert; Herbin, Raphaele; Montarnal, Philippe 11 2007 Gradient schemes for the Stefan problem. Zbl 1482.65162Eymard, Robert; Féron, Pierre; Gallouët, Thierry; Herbin, Raphaèle; Guichard, Cindy 11 2013 The Lions domain decomposition algorithm on non-matching cell-centred finite volume meshes. Zbl 1065.65137Cautrès, René; Herbin, Raphaèle; Hubert, Florence 10 2004 Staggered schemes for all speed flows. Zbl 1357.76038Herbin, Raphaèle; Kheriji, Walid; Latche, Jean-Claude 10 2012 Approximation by the finite volume method of an elliptic-parabolic equation arising in environmental studies. Zbl 1173.76359Eymard, R.; Gallouët, T.; Herbin, R.; Gutnic, M.; Hilhorst, D. 10 2001 Convergence of the marker-and-cell scheme for the incompressible Navier-Stokes equations on non-uniform grids. Zbl 1459.65168Gallouët, T.; Herbin, R.; Latché, J.-C.; Mallem, K. 8 2018 Consistent segregated staggered schemes with explicit steps for the isentropic and full Euler equations. Zbl 1405.35149Herbin, Raphaèle; Latché, Jean-Claude; Nguyen, Trung Tan 8 2018 Discontinuous Galerkin discretization and \(hp\)-refinement for the resolution of the neutron transport equation. Zbl 1267.74119Fournier, D.; Herbin, R.; Le Tellier, R. 7 2013 Convergence of linear finite elements for diffusion equations with measure data. Zbl 1038.65110Gallouët, Thierry; Herbin, Raphaèle 7 2004 Convergence analysis of a locally stabilized collocated finite volume scheme for incompressible flows. Zbl 1246.76087Eymard, Robert; Herbin, Raphaèle; Latché, Jean-Claude; Piar, Bruno 7 2009 A MUSCL-type segregated – explicit staggered scheme for the Euler equations. Zbl 1410.76226Gastaldo, Laura; Herbin, Raphaèle; Latché, Jean-Claude; Therme, Nicolas 7 2018 A formally second-order cell centred scheme for convection-diffusion equations on general grids. Zbl 1430.76374Piar, L.; Babik, F.; Herbin, R.; Latché, Jean-Claude 6 2013 Approximation of obstacle problems by continuation methods. Zbl 0668.65048Conrad, Francis; Herbin, Raphaele; Mittelmann, Hans D. 6 1988 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 6 2011 Finite volume approximation of elliptic problems with irregular data. Zbl 1052.65552Gallouët, Thierry; Herbin, Raphaèle 6 1999 Convergence of finite volume methods on general meshes for non smooth solution of elliptic problems with cracks. Zbl 1052.65557Angot, Philippe; Gallouët, Thierry; Herbin, Raphaèle 6 1999 A monotonic method for the numerical solution of some free boundary value problems. Zbl 1040.65055Herbin, Raphaèle 6 2003 Discretization schemes for linear diffusion operators on general non-conforming meshes. Zbl 1422.65309Eymard, 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 1310.76105Chénier, Eric; Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 6 2015 Kinetic energy control in explicit finite volume discretizations of the incompressible and compressible Navier-Stokes equations. Zbl 1490.76149Gallouët, T.; Herbin, R.; Latché, J.-C. 6 2010 Convergence of the MAC scheme for the steady-state incompressible Navier-Stokes equations on non-uniform grids. Zbl 1304.76038Herbin, R.; Latché, J.-C.; Mallem, K. 6 2014 Finite volume schemes for elliptic and elliptic-hyperbolic problems on triangular meshes. Zbl 0897.76072Herbin, Raphaèle; Labergerie, Olivier 6 1997 Approximation of the biharmonic problem using P1 finite elements. Zbl 1261.65118Eymard, Robert; Herbin, Raphaèle; Rhoudaf, Mohamed 5 2011 Finite volume approximation of a class of variational inequalities. Zbl 0990.65069Herbin, Raphaèle; Marchand, Emmanuelle 5 2001 Gradient scheme approximations for diffusion problems. Zbl 1246.65205Eymard, Robert; Herbin, Raphaèle 5 2011 On the stability of colocated clustered finite volume simplicial discretizations for the 2D Stokes problem. Zbl 1137.76062Eymard, R.; Herbin, R.; Latché, J. C.; Piar, B. 5 2007 Convergence of the MAC scheme for the compressible stationary Navier-Stokes equations. Zbl 1390.35231Gallouët, T.; Herbin, R.; Latché, J.-C.; Maltese, D. 5 2018 Convergence of the marker-and-cell scheme for the semi-stationary compressible Stokes problem. Zbl 07313829Gallouët, T.; Herbin, R.; Maltese, D.; Novotny, A. 5 2017 Applications of approximate gradient schemes for nonlinear parabolic equations. Zbl 1340.65187Eymard, Robert; Handlovičová, Angela; Herbin, Raphaèle; Mikula, Karol; Stašová, Olga 5 2015 A cell-centred pressure-correction scheme for the compressible Euler equations. Zbl 1467.65089Herbin, Raphaèle; Latché, Jean-Claude; Zaza, Chady 4 2020 Low Mach number limit of some staggered schemes for compressible barotropic flows. Zbl 1460.35258Herbin, R.; Latché, J.-C.; Saleh, K. 4 2021 Conservativity and weak consistency of a class of staggered finite volume methods for the Euler equations. Zbl 1464.65097Herbin, R.; Latché, J.-C.; Minjeaud, S.; Therme, N. 4 2021 On the weak consistency of finite volumes schemes for conservation laws on general meshes. Zbl 1434.65149Gallouët, T.; Herbin, R.; Latché, J.-C. 4 2019 A cell-centered finite volume scheme on general meshes for the Stokes equations in two space dimensions. Zbl 1084.76052Eymard, Robert; Herbin, Raphaèle 4 2003 Combined triangular FV-triangular FE method for nonlinear convection-diffusion problems. Zbl 1128.65079Bejček, 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 1258.76112Gastaldo, Laura; Herbin, Raphaèle; Latché, Jean-Claude 4 2010 A fast precipitation and dissolution reaction for a reaction-diffusion system arising in a porous medium. Zbl 1167.35396Bouillard, N.; Eymard, R.; Henry, M.; Herbin, R.; Hilhorst, D. 4 2009 A staggered finite volume scheme on general meshes for the Navier-Stokes equations in two space dimensions. Zbl 1490.65241Eymard, Robert; Herbin, Raphaèle 4 2005 Instantaneous and noninstantaneous dissolution: Approximation by the finite volume method. Zbl 1020.65052Eymard, R.; Gallouët, T.; Herbin, R.; Hilhorst, D.; Mainguy, M. 4 1999 A posteriori error estimate for finite volume approximations of convection diffusion problems. Zbl 1060.65103Herbin, Raphaèle; Ohlberger, Mario 3 2002 Benchmark 3D: the VAG scheme. Zbl 1246.76084Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle 3 2011 Measure, integration, probability. (Mesure, intégration, probabilités.) Zbl 1273.28001Gallouët, Thierry; Herbin, Raphaèle 3 2013 A staggered finite volume scheme on general meshes for the generalized Stokes problem in two space dimensions. Zbl 1490.65236Blanc, Philippe; Eymard, Robert; Herbin, Raphaèle 3 2005 Kinetic energy control in the MAC discretization of compressible Navier-Stokes equations. Zbl 1490.76152Herbin, Raphaele; Latché, Jean-Claude 3 2010 A uniqueness result for measure-valued solutions of nonlinear hyperbolic equations. Zbl 0806.35114Gallouët, Thierry; Herbin, Raphaèle 3 1993 A finite volume scheme on general meshes for the steady Navier-Stokes equations in two space dimensions. Zbl 1173.76361Eymard, Robert; Herbin, Raphaèle 2 2004 An extension of the MAC scheme to some unstructured meshes. Zbl 1246.76113Chénier, Eric; Eymard, Robert; Herbin, Raphaèle 2 2011 Gradient schemes for image processing. Zbl 1246.65163Eymard, Robert; Handlovičová, Angela; Herbin, Raphaèle; Mikula, Karol; Stašová, Olga 2 2011 Lax-Wendroff consistency of finite volume schemes for systems of non linear conservation laws: extension to staggered schemes. Zbl 1490.65169Gallouët, T.; Herbin, R.; Latché, J.-C. 1 2022 Low Mach number limit of some staggered schemes for compressible barotropic flows. Zbl 1460.35258Herbin, R.; Latché, J.-C.; Saleh, K. 4 2021 Conservativity and weak consistency of a class of staggered finite volume methods for the Euler equations. Zbl 1464.65097Herbin, R.; Latché, J.-C.; Minjeaud, S.; Therme, N. 4 2021 Consistent internal energy based schemes for the compressible Euler equations. Zbl 1498.65141Gallouët, T.; Herbin, R.; Latché, J.-C.; Therme, N. 2 2021 A cell-centred pressure-correction scheme for the compressible Euler equations. Zbl 1467.65089Herbin, Raphaèle; Latché, Jean-Claude; Zaza, Chady 4 2020 The gradient discretisation method for linear advection problems. Zbl 1451.65175Droniou, Jérôme; Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 2 2020 On the weak consistency of finite volumes schemes for conservation laws on general meshes. Zbl 1434.65149Gallouët, T.; Herbin, R.; Latché, J.-C. 4 2019 A decoupled staggered scheme for the shallow water equations. Zbl 1471.65116Herbin, Raphaèle; Latché, Jean-Claude; Nasseri, Youssouf; Therme, Nicolas 1 2019 The gradient discretisation method. Zbl 1435.65005Droniou, Jérôme; Eymard, Robert; Gallouët, Thierry; Guichard, Cindy; Herbin, Raphaèle 74 2018 Convergence of the marker-and-cell scheme for the incompressible Navier-Stokes equations on non-uniform grids. Zbl 1459.65168Gallouët, T.; Herbin, R.; Latché, J.-C.; Mallem, K. 8 2018 Consistent segregated staggered schemes with explicit steps for the isentropic and full Euler equations. Zbl 1405.35149Herbin, Raphaèle; Latché, Jean-Claude; Nguyen, Trung Tan 8 2018 A MUSCL-type segregated – explicit staggered scheme for the Euler equations. Zbl 1410.76226Gastaldo, Laura; Herbin, Raphaèle; Latché, Jean-Claude; Therme, Nicolas 7 2018 Convergence of the MAC scheme for the compressible stationary Navier-Stokes equations. Zbl 1390.35231Gallouët, 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 1372.65256Droniou, 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 07313829Gallouët, T.; Herbin, R.; Maltese, D.; Novotny, A. 5 2017 Convergence of the MAC scheme for variable density flows. Zbl 1391.76407Gallouët, T.; Herbin, R.; Latché, J.-C.; Mallem, K. 1 2017 Gradient schemes: generic tools for the numerical analysis of diffusion equations. Zbl 1346.65042Droniou, Jérome; Eymard, Robert; Herbin, Raphaèle 33 2016 An unconditionally stable staggered pressure correction scheme for the compressible Navier-Stokes equations. Zbl 1416.76149Grapsas, Dionysis; Herbin, Raphaèle; Kheriji, Walid; Latché, Jean-Claude 22 2016 Error estimates for a numerical approximation to the compressible barotropic Navier-Stokes equations. Zbl 1433.76083Gallouët, Thierry; Herbin, Raphaèle; Maltese, David; Novotny, Antonin 14 2016 Analysis of a fractional-step scheme for the \(\mathbf P_1\) radiative diffusion model. Zbl 1350.65094Gallouët, T.; Herbin, R.; Larcher, A.; Latché, J.-C. 2 2016 An extension of the MAC scheme to locally refined meshes: convergence analysis for the full tensor time-dependent Navier-Stokes equations. Zbl 1310.76105Chénier, Eric; Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 6 2015 Applications of approximate gradient schemes for nonlinear parabolic equations. Zbl 1340.65187Eymard, Robert; Handlovičová, Angela; Herbin, Raphaèle; Mikula, Karol; Stašová, Olga 5 2015 \( \mathcal{RT}_k\) mixed finite elements for some nonlinear problems. Zbl 07313415Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 1 2015 Gradient schemes for two-phase flow in heterogeneous porous media and Richards equation. Zbl 1297.76159Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle; Masson, Roland 39 2014 TP or not TP, that is the question. Zbl 1378.76118Eymard, R.; Gallouët, T.; Guichard, C.; Herbin, R.; Masson, R. 30 2014 On some implicit and semi-implicit staggered schemes for the shallow water and Euler equations. Zbl 1304.35519Herbin, R.; Kheriji, W.; Latché, J.-C. 24 2014 Convergence of the MAC scheme for the steady-state incompressible Navier-Stokes equations on non-uniform grids. Zbl 1304.76038Herbin, 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 1281.65136Droniou, Jerome; Eymard, Robert; Gallouet, Thierry; Herbin, Raphaele 69 2013 Explicit staggered schemes for the compressible Euler equations. Zbl 1329.76206Herbin, R.; Latché, J.-C.; Nguyen, T. T. 18 2013 Pressure correction staggered schemes for barotropic one-phase and two-phase flows. Zbl 1391.76778Kheriji, Walid; Herbin, Raphaèle; Latché, Jean-Claude 12 2013 Gradient schemes for the Stefan problem. Zbl 1482.65162Eymard, Robert; Féron, Pierre; Gallouët, Thierry; Herbin, Raphaèle; Guichard, Cindy 11 2013 Discontinuous Galerkin discretization and \(hp\)-refinement for the resolution of the neutron transport equation. Zbl 1267.74119Fournier, D.; Herbin, R.; Le Tellier, R. 7 2013 A formally second-order cell centred scheme for convection-diffusion equations on general grids. Zbl 1430.76374Piar, L.; Babik, F.; Herbin, R.; Latché, Jean-Claude 6 2013 Measure, integration, probability. (Mesure, intégration, probabilités.) Zbl 1273.28001Gallouët, Thierry; Herbin, Raphaèle 3 2013 Small-stencil 3D schemes for diffusive flows in porous media. Zbl 1271.76324Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle 79 2012 Vertex centred discretization of two-phase Darcy flows on general meshes. Zbl 1357.76037Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle; Masson, Roland 18 2012 Finite volume schemes for the biharmonic problem on general meshes. Zbl 1271.65135Eymard, R.; Gallouët, T.; Herbin, R.; Linke, A. 13 2012 W\(^{1,q }\) stability of the Fortin operator for the MAC scheme. Zbl 1248.76109Gallouët, T.; Herbin, R.; Latché, J.-C. 11 2012 Staggered schemes for all speed flows. Zbl 1357.76038Herbin, Raphaèle; Kheriji, Walid; Latche, Jean-Claude 10 2012 3D benchmark on discretization schemes for anisotropic diffusion problems on general grids. Zbl 1246.76053Eymard, Robert; Henry, Gérard; Herbin, Raphaèle; Hubert, Florence; Klöfkorn, Robert 38 2011 Staggered discretizations, pressure correction schemes and all speed barotropic flows. Zbl 1246.76094Gastaldo, L.; Herbin, R.; Kheriji, W.; Lapuerta, C.; Latché, J.-C. 12 2011 A discretization of the phase mass balance in fractional step algorithms for the drift-flux model. Zbl 1428.76118Gastaldo, 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 6 2011 Approximation of the biharmonic problem using P1 finite elements. Zbl 1261.65118Eymard, Robert; Herbin, Raphaèle; Rhoudaf, Mohamed 5 2011 Gradient scheme approximations for diffusion problems. Zbl 1246.65205Eymard, Robert; Herbin, Raphaèle 5 2011 Benchmark 3D: the VAG scheme. Zbl 1246.76084Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle 3 2011 An extension of the MAC scheme to some unstructured meshes. Zbl 1246.76113Chénier, Eric; Eymard, Robert; Herbin, Raphaèle 2 2011 Gradient schemes for image processing. Zbl 1246.65163Eymard, Robert; Handlovičová, Angela; Herbin, Raphaèle; Mikula, Karol; Stašová, Olga 2 2011 Multiphase flow in porous media using the VAG scheme. Zbl 1246.76085Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle; Masson, Roland 1 2011 Playing with Burgers’s equation. Zbl 1246.76093Gallouët, T.; Herbin, R.; Latché, J.-C.; Nguyen, T. T. 1 2011 Discretization of the viscous dissipation term with the MAC scheme. Zbl 1246.76063Babik, 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 1202.65144Eymard, R.; Gallouët, T.; Herbin, R. 171 2010 A unified approach to mimetic finite difference, hybrid finite volume and mixed finite volume methods. Zbl 1191.65142Droniou, Jérôme; Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 114 2010 Convergence of the MAC scheme for the compressible Stokes equations. Zbl 1417.65185Eymard, R.; Gallouët, T.; Herbin, R.; Latché, J.-C. 22 2010 A convergent finite element-finite volume scheme for the compressible Stokes problem. II: The isentropic case. Zbl 1197.35192Eymard, R.; Gallouët, T.; Herbin, R.; Latché, J. C. 22 2010 Kinetic energy control in explicit finite volume discretizations of the incompressible and compressible Navier-Stokes equations. Zbl 1490.76149Gallouët, T.; Herbin, R.; Latché, J.-C. 6 2010 An unconditionally stable finite element-finite volume pressure correction scheme for the drift-flux model. Zbl 1258.76112Gastaldo, Laura; Herbin, Raphaèle; Latché, Jean-Claude 4 2010 Kinetic energy control in the MAC discretization of compressible Navier-Stokes equations. Zbl 1490.76152Herbin, 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 1205.65314Eymard, Robert; Herbin, Raphaèle 2 2010 A nine-point finite volume scheme for the simulation of diffusion in heterogeneous media. Zbl 1166.65051Agelas, Léo; Eymard, Robert; Herbin, Raphaèle 41 2009 A convergent finite element-finite volume scheme for the compressible Stokes problem. I: The isothermal case. Zbl 1223.76041Gallouët, T.; Herbin, R.; Latché, J.-C. 30 2009 Cell centred discretisation of non linear elliptic problems on general multidimensional polyhedral grids. Zbl 1179.65138Eymard, R.; Gallouët, T.; Herbin, R. 12 2009 Convergence analysis of a locally stabilized collocated finite volume scheme for incompressible flows. Zbl 1246.76087Eymard, Robert; Herbin, Raphaèle; Latché, Jean-Claude; Piar, Bruno 7 2009 A fast precipitation and dissolution reaction for a reaction-diffusion system arising in a porous medium. Zbl 1167.35396Bouillard, 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 1158.76028Chénier, Eric; Eymard, Robert; Herbin, Raphaèle 2 2009 Benchmark on discretization schemes for anisotropic diffusion problems on general grids. Zbl 1422.65314Herbin, Raphaèle; Hubert, Florence 123 2008 An unconditionally stable pressure correction scheme for the compressible barotropic Navier-Stokes equations. Zbl 1132.35433Gallouët, Thierry; Gastaldo, Laura; Herbin, Raphaele; Latché, Jean-Claude 42 2008 Discretization of coupled heat and electrical diffusion problems by finite-element and finite-volume methods. Zbl 1144.78024Bradji, Abdallah; Herbin, Raphaèle 13 2008 SUSHI: a scheme using stabilization and hybrid interfaces for anisotropic heterogeneous diffusion problems. Zbl 1422.65310Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 12 2008 Discretization schemes for linear diffusion operators on general non-conforming meshes. Zbl 1422.65309Eymard, R.; Gallouët, T.; Herbin, R. 6 2008 Collocated finite volume schemes for the simulation of natural convective flows on unstructured meshes. Zbl 1133.76028Chénier, 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 1374.76144Gastaldo, Laura; Herbin, Raphaèle; Latché, Jean-Claude 1 2008 Convergence analysis of a colocated finite volume scheme for the incompressible Navier-Stokes equations on general 2D or 3D meshes. Zbl 1173.76028Eymard, R.; Herbin, R.; Latché, J. C. 31 2007 A new finite volume scheme for anisotropic diffusion problems on general grids: convergence analysis. Zbl 1112.65120Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 30 2007 Analysis tools for finite volume schemes. Zbl 1133.65062Eymard, 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 1114.76047Eymard, Robert; Herbin, Raphaèle 11 2007 Diffusion with dissolution and precipitation in a porous medium: mathematical analysis and numerical approximation of a simplified model. Zbl 1130.76086Bouillard, 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 1137.76062Eymard, R.; Herbin, R.; Latché, J. C.; Piar, B. 5 2007 Combined triangular FV-triangular FE method for nonlinear convection-diffusion problems. Zbl 1128.65079Bejček, Michal; Feistauer, Miloslav; Gallouët, Thierry; Hájek, Jaroslav; Herbin, Raphaelle 4 2007 Finite volume schemes for nonlinear parabolic problems: another regularization method. Zbl 1134.35069Eymard, 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 1093.65110Eymard, R.; Gallouët, T.; Herbin, R. 62 2006 On a stabilized collocated finite volume scheme for the Stokes problem. Zbl 1160.76370Eymard, Robert; Herbin, Raphaèle; Latché, Jean-Claude 20 2006 A staggered finite volume scheme on general meshes for the Navier-Stokes equations in two space dimensions. Zbl 1490.65241Eymard, Robert; Herbin, Raphaèle 4 2005 A staggered finite volume scheme on general meshes for the generalized Stokes problem in two space dimensions. Zbl 1490.65236Blanc, Philippe; Eymard, Robert; Herbin, Raphaèle 3 2005 An error estimate for finite volume methods for the Stokes equations on equilateral triangular meshes. Zbl 1116.76395Blanc, Philippe; Eymard, Robert; Herbin, Raphaèle 13 2004 A finite volume scheme for anisotropic diffusion problems. Zbl 1055.65124Eymard, Robert; Gallouët, Thierry; Herbin, Raphaéle 12 2004 The Lions domain decomposition algorithm on non-matching cell-centred finite volume meshes. Zbl 1065.65137Cautrès, René; Herbin, Raphaèle; Hubert, Florence 10 2004 Convergence of linear finite elements for diffusion equations with measure data. Zbl 1038.65110Gallouët, Thierry; Herbin, Raphaèle 7 2004 A finite volume scheme on general meshes for the steady Navier-Stokes equations in two space dimensions. Zbl 1173.76361Eymard, Robert; Herbin, Raphaèle 2 2004 Mathematical study of a petroleum-engineering scheme. Zbl 1118.76355Eymard, Robert; Herbin, Raphaèle; Michel, Anthony 59 2003 A finite volume scheme for a noncoercive elliptic equation with measure data. Zbl 1058.65127Droniou, Jérôme; Gallouët, Thierry; Herbin, Raphaèle 20 2003 A monotonic method for the numerical solution of some free boundary value problems. Zbl 1040.65055Herbin, Raphaèle 6 2003 A cell-centered finite volume scheme on general meshes for the Stokes equations in two space dimensions. Zbl 1084.76052Eymard, Robert; Herbin, Raphaèle 4 2003 Convergence of a finite volume scheme for nonlinear degenerate parabolic equations. Zbl 1005.65099Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle; Michel, Anthony 79 2002 Error estimate for approximate solutions of a nonlinear convection-diffusion problem. Zbl 1173.35563Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 15 2002 A posteriori error estimate for finite volume approximations of convection diffusion problems. Zbl 1060.65103Herbin, Raphaèle; Ohlberger, Mario 3 2002 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 Finite volume scheme on non matching grids. Applications to domain decomposition methods. Zbl 1062.65120Cautrès, René; Herbin, Raphaèle; Hubert, Florence 1 2002 Discrete Sobolev inequalities and \(L^p\) error estimates for finite volume solutions of convection diffusion equations. Zbl 0990.65122Coudière, Yves; Gallouët, Thierry; Herbin, Raphaèle 30 2001 Finite volume approximation of elliptic problems and convergence of an approximate gradient. Zbl 0982.65122Eymard, R.; Gallouët, T.; Herbin, R. 29 2001 ...and 21 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,676 Authors 65 Eymard, Robert 62 Herbin, Raphaèle 51 Droniou, Jérôme 47 Gallouët, Thierry 40 Di Pietro, Daniele Antonio 38 Latché, Jean-Claude 36 Cancès, Clément 29 Bradji, Abdallah 29 Masson, Roland 26 Brenner, Konstantin 26 Yuan, Guangwei 23 Manzini, Gianmarco 23 Vohralík, Martin 22 Chainais-Hillairet, Claire 21 Saad, Mazen 19 Andreianov, Boris 19 Fuhrmann, Jürgen 19 Wu, Jiming 18 Beirão da Veiga, Lourenço 17 Ern, Alexandre 17 Zou, Qingsong 16 Hilhorst, Danielle 15 Brezzi, Franco 15 Guichard, Cindy 13 Karlsen, Kenneth Hvistendahl 13 Lukáčová-Medvid’ová, Mária 13 Mikula, Karol 13 Pop, Iuliu Sorin 13 Quenjel, EL Houssaine 13 Sheng, Zhiqiang 12 Marini, Luisa Donatella 12 Terekhov, Kirill M. 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 Bendahmane, Mostafa 10 Gao, Zhiming 9 Bessemoulin-Chatard, Marianne 9 Clain, Stéphane Louis 9 Feireisl, Eduard 9 Goudon, Thierry 9 Le Potier, Christophe 9 Luo, Zhendong 9 She, Bangwei 9 Tchelepi, Hamdi A. 9 Zhang, Zhimin 8 Benkhaldoun, Fayssal 8 Després, Bruno 8 Glitzky, Annegret 8 Handlovičová, Angela 8 Hérard, Jean-Marc 8 Hermeline, François 8 Ohlberger, Mario 8 Rivière, Beatrice M. 8 Rui, Hongxing 7 Coatléven, Julien 7 Formaggia, Luca 7 Fumagalli, Alessio 7 Goatin, Paola 7 Maltese, David 7 Nabet, Flore 7 Scotti, Anna 7 Vovelle, Julien 6 Alnashri, Yahya Ahmad 6 Bauzet, Caroline 6 Botti, Michele 6 Cheng, Hanz Martin C. 6 Chénier, Eric 6 Gaspar, Francisco José 6 Jüngel, Ansgar 6 Machado, Gaspar J. 6 Minjeaud, Sebastian 6 Mizerová, Hana 6 Murakawa, Hideki 6 Rhoudaf, Mohamed 6 Ruiz-Baier, Ricardo 6 Schwab, Christoph 6 Su, Shuai 6 Temam, Roger Meyer 6 Verani, Marco 6 Vignal, Marie-Hélène 6 Wang, Yihong 6 Yang, Min 6 Ye, Xiu 6 Yousef, Soleiman 5 Agelas, Leo 5 Bonelle, Jérôme 5 Botti, Lorenzo 5 Boyer, Franck 5 Bürger, Raimund 5 Calgaro, Caterina 5 Castelletto, Nicola 5 Costa, Ricardo 5 Coudière, Yves 5 Enchéry, Guillaume 5 Faille, Isabelle ...and 1,576 more Authors all top 5 Cited in 186 Serials 128 Journal of Computational Physics 75 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 61 Numerische Mathematik 53 Journal of Computational and Applied Mathematics 52 Computers & Mathematics with Applications 52 Journal of Scientific Computing 50 Computer Methods in Applied Mechanics and Engineering 47 Mathematics of Computation 40 Applied Numerical Mathematics 38 SIAM Journal on Numerical Analysis 38 Computational Geosciences 34 Comptes Rendus. 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Analyse Non Linéaire 4 Calculus of Variations and Partial Differential Equations 4 Russian Journal of Numerical Analysis and Mathematical Modelling 4 Vietnam Journal of Mathematics 4 Foundations of Computational Mathematics 4 Multiscale Modeling & Simulation 4 Journal of Hyperbolic Differential Equations 4 Networks and Heterogeneous Media 3 Journal of Engineering Mathematics 3 Journal of Mathematical Biology 3 International Journal for Numerical Methods in Engineering 3 Journal of Functional Analysis 3 Transactions of the American Mathematical Society 3 Applied Mathematics Letters 3 Japan Journal of Industrial and Applied Mathematics 3 Applications of Mathematics 3 Doklady Mathematics 3 Computing and Visualization in Science 3 Communications in Nonlinear Science and Numerical Simulation 3 International Journal of Computational Methods 3 GEM - International Journal on Geomathematics 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 3 AIMS Mathematics 2 Computer Physics Communications 2 Mathematical Methods in the Applied Sciences 2 ZAMP. 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 Chinese Annals of Mathematics. Series B 2 Acta Applicandae Mathematicae 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 Discrete and Continuous Dynamical Systems 2 Arab Journal of Mathematical Sciences 2 Journal of Inequalities and Applications 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Lobachevskii Journal of Mathematics 2 Journal of Evolution Equations 2 Journal of Applied Mathematics 2 Communications on Pure and Applied Analysis 2 Advances in Applied Mathematics and Mechanics 2 Science China. Mathematics 2 S\(\vec{\text{e}}\)MA Journal 2 Stochastic and Partial Differential Equations. Analysis and Computations 2 Journal of Mathematics ...and 86 more Serials all top 5 Cited in 41 Fields 1,079 Numerical analysis (65-XX) 721 Partial differential equations (35-XX) 622 Fluid mechanics (76-XX) 92 Mechanics of deformable solids (74-XX) 68 Biology and other natural sciences (92-XX) 49 Geophysics (86-XX) 42 Statistical mechanics, structure of matter (82-XX) 40 Classical thermodynamics, heat transfer (80-XX) 36 Probability theory and stochastic processes (60-XX) 32 Calculus of variations and optimal control; optimization (49-XX) 26 Optics, electromagnetic theory (78-XX) 18 Operations research, mathematical programming (90-XX) 15 Functional analysis (46-XX) 12 Computer science (68-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 Integral equations (45-XX) 8 Information and communication theory, circuits (94-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Potential theory (31-XX) 5 Systems theory; control (93-XX) 4 Ordinary differential equations (34-XX) 4 Approximations and expansions (41-XX) 4 Operator theory (47-XX) 3 General and overarching topics; collections (00-XX) 3 Real functions (26-XX) 3 Mechanics of particles and systems (70-XX) 2 Combinatorics (05-XX) 2 Measure and integration (28-XX) 2 Difference and functional equations (39-XX) 2 Convex and discrete geometry (52-XX) 2 Differential geometry (53-XX) 2 General topology (54-XX) 2 Quantum theory (81-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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