## Herbin, Raphaèle

Compute Distance To:
 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: 145 Publications since 1986, including 2 Books 3 Contributions as Editor Co-Authors: 72 Co-Authors with 143 Joint Publications 1,109 Co-Co-Authors
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### Co-Authors

 5 single-authored 70 Eymard, Robert 64 Gallouët, Thierry 45 Latché, Jean-Claude 10 Droniou, Jérôme 10 Guichard, Cindy 7 Hubert, Florence 6 Chénier, Eric 6 Gastaldo, Laura 6 Kheriji, Walid 4 Cautrès, René 4 Hilhorst, Danielle 4 Masson, Roland 4 Nasseri, Youssouf 4 Therme, Nicolas 3 Bouillard, Nicolas 3 Gerbi, Stéphane 3 Mallem, K. 3 Maltese, David 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 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, R. 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
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### Serials

 9 IMA Journal of Numerical Analysis 9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Mathematics of Computation 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 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 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 S$$\vec{\text{e}}$$MA Journal 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Références Sciences 1 SMAI Journal of Computational Mathematics
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### Fields

 120 Numerical analysis (65-XX) 80 Fluid mechanics (76-XX) 76 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 Measure and integration (28-XX) 1 Probability theory and stochastic processes (60-XX) 1 Optics, electromagnetic theory (78-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

112 Publications have been cited 2,269 times in 1,175 Documents Cited by Year
Finite volume methods. Zbl 0981.65095
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle
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.
2010
Benchmark on discretization schemes for anisotropic diffusion problems on general grids. Zbl 1422.65314
Herbin, Raphaèle; Hubert, Florence
2008
A unified approach to mimetic finite difference, hybrid finite volume and mixed finite volume methods. Zbl 1191.65142
Jérôme; Droniou; Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle
2010
Convergence of a finite volume scheme for nonlinear degenerate parabolic equations. Zbl 1005.65099
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle; Michel, Anthony
2002
Small-stencil 3D schemes for diffusive flows in porous media. Zbl 1271.76324
Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle
2012
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
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.
2006
The gradient discretisation method. Zbl 1435.65005
Droniou, Jérôme; Eymard, Robert; Gallouët, Thierry; Guichard, Cindy; Herbin, Raphaèle
2018
Mathematical study of a petroleum-engineering scheme. Zbl 1118.76355
Eymard, Robert; Herbin, Raphaèle; Michel, Anthony
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.
1998
An error estimate for a finite volume scheme for a diffusion-convection problem on a triangular mesh. Zbl 0822.65085
Herbin, Raphaèle
1995
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
2008
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
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
2014
A nine-point finite volume scheme for the simulation of diffusion in heterogeneous media. Zbl 1166.65051
Agelas, Léo; Eymard, Robert; Herbin, Raphaèle
2009
Gradient schemes: generic tools for the numerical analysis of diffusion equations. Zbl 1346.65042
Droniou, Jérome; Eymard, Robert; Herbin, Raphaèle
2016
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
2001
Finite volume approximation of elliptic problems and convergence of an approximate gradient. Zbl 0982.65122
Eymard, R.; Gallouët, T.; Herbin, R.
2001
A new finite volume scheme for anisotropic diffusion problems on general grids: convergence analysis. Zbl 1112.65120
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle
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.
2007
TP or not TP, that is the question. Zbl 1378.76118
Eymard, R.; Gallouët, T.; Guichard, C.; Herbin, R.; Masson, R.
2014
Existence and uniqueness of the entropy solution to a nonlinear hyperbolic equation. Zbl 0830.35077
Eymard, R.; Gallouët, T.; Herbin, R.
1995
Existence of a solution to a coupled elliptic system. Zbl 0791.35043
Gallouët, T.; Herbin, R.
1994
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.
2009
Convergence of finite volume schemes for semilinear convection diffusion equations. Zbl 0930.65118
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle
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.
2010
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.
2014
On a stabilized collocated finite volume scheme for the Stokes problem. Zbl 1160.76370
Eymard, Robert; Herbin, Raphaèle; Latché, Jean-Claude
2006
Convergence of a finite volume scheme for a nonlinear hyperbolic equation. Zbl 0843.65068
Eymard, R.; Gallouët, T.; Herbin, R.
1995
A finite volume scheme for a noncoercive elliptic equation with measure data. Zbl 1058.65127
Droniou, Jérôme; Gallouët, Thierry; Herbin, Raphaèle
2003
Convergence of the MAC scheme for the compressible Stokes equations. Zbl 1417.65185
Eymard, R.; Gallouët, T.; Herbin, R.; Latché, J.-C.
2010
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.
1993
Numerical approximation of an elliptic-parabolic equation arising in environment. Zbl 1060.76075
Eymard, R.; Gallouët, T.; Gutnic, M.; Herbin, R.; Hilhorst, D.
2000
Error estimate for approximate solutions of a nonlinear convection-diffusion problem. Zbl 1173.35563
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle
2002
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
2016
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.
2017
Vertex centred discretization of two-phase Darcy flows on general meshes. Zbl 1357.76037
Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle; Masson, Roland
2012
Finite volume schemes for the biharmonic problem on general meshes. Zbl 1271.65135
Eymard, R.; Gallouët, T.; Herbin, R.; Linke, A.
2012
Explicit staggered schemes for the compressible Euler equations. Zbl 1329.76206
Herbin, R.; Latché, J.-C.; Nguyen, T. T.
2013
Discretization of coupled heat and electrical diffusion problems by finite-element and finite-volume methods. Zbl 1144.78024
Bradji, Abdallah; Herbin, Raphaèle
2008
A finite volume scheme for anisotropic diffusion problems. Zbl 1055.65124
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaéle
2004
An error estimate for finite volume methods for the Stokes equations on equilateral triangular meshes. Zbl 1116.76395
Blanc, Philippe; Eymard, Robert; Herbin, Raphaèle
2004
SUSHI: a scheme using stabilization and hybrid interfaces for anisotropic heterogeneous diffusion problems. Zbl 1422.65310
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle
2008
A new colocated finite volume scheme for the incompressible Navier-Stokes equations on general non matching grids. Zbl 1114.76047
Eymard, Robert; Herbin, Raphaèle
2007
Cell centred discretisation of non linear elliptic problems on general multidimensional polyhedral grids. Zbl 1179.65138
Eymard, R.; Gallouët, T.; Herbin, R.
2009
Staggered discretizations, pressure correction schemes and all speed barotropic flows. Zbl 1246.76094
Gastaldo, L.; Herbin, R.; Kheriji, W.; Lapuerta, C.; Latché, J.-C.
2011
Analysis tools for finite volume schemes. Zbl 1133.65062
Eymard, Robert; Gallouët, Thiery; Herbin, Raphaele; Latché, Jean Claude
2007
Staggered schemes for all speed flows. Zbl 1357.76038
Herbin, Raphaèle; Kheriji, Walid; Latche, Jean-Claude
2012
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.
2001
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
2011
The Lions domain decomposition algorithm on non-matching cell-centred finite volume meshes. Zbl 1065.65137
Cautrès, René; Herbin, Raphaèle; Hubert, Florence
2004
Pressure correction staggered schemes for barotropic one-phase and two-phase flows. Zbl 1391.76778
Kheriji, Walid; Herbin, Raphaèle; Latché, Jean-Claude
2013
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
2007
Error estimates for a numerical approximation to the compressible barotropic Navier-Stokes equations. Zbl 1433.76083
Gallouët, Thierry; Herbin, Raphaèle; Maltese, David; Novotny, Antonin
2016
W$$^{1,q }$$ stability of the Fortin operator for the MAC scheme. Zbl 1248.76109
Gallouët, T.; Herbin, R.; Latché, J.-C.
2012
A monotonic method for the numerical solution of some free boundary value problems. Zbl 1040.65055
Herbin, Raphaèle
2003
Approximation of obstacle problems by continuation methods. Zbl 0668.65048
Conrad, Francis; Herbin, Raphaele; Mittelmann, Hans D.
1988
Finite volume schemes for elliptic and elliptic-hyperbolic problems on triangular meshes. Zbl 0897.76072
Herbin, Raphaèle; Labergerie, Olivier
1997
Discretization schemes for linear diffusion operators on general non-conforming meshes. Zbl 1422.65309
Eymard, R.; Gallouët, T.; Herbin, R.
2008
Convergence of linear finite elements for diffusion equations with measure data. Zbl 1038.65110
Gallouët, Thierry; Herbin, Raphaèle
2004
Finite volume approximation of elliptic problems with irregular data. Zbl 1052.65552
Gallouët, Thierry; Herbin, Raphaèle
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
1999
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
2018
Finite volume approximation of a class of variational inequalities. Zbl 0990.65069
Herbin, Raphaèle; Marchand, Emmanuelle
2001
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.
2007
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
2015
Approximation of the biharmonic problem using P1 finite elements. Zbl 1261.65118
Eymard, Robert; Herbin, Raphaèle; Rhoudaf, Mohamed
2011
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
2009
Convergence of the MAC scheme for the compressible stationary Navier-Stokes equations. Zbl 1390.35231
Gallouët, T.; Herbin, R.; Latché, J.-C.; Maltese, D.
2018
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.
2014
Applications of approximate gradient schemes for nonlinear parabolic equations. Zbl 1340.65187
Eymard, Robert; Handlovičová, Angela; Herbin, Raphaèle; Mikula, Karol; Stašová, Olga
2015
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.
2009
Gradient scheme approximations for diffusion problems. Zbl 1246.65205
Eymard, Robert; Herbin, Raphaèle
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.
2013
Instantaneous and noninstantaneous dissolution: Approximation by the finite volume method. Zbl 1020.65052
Eymard, R.; Gallouët, T.; Herbin, R.; Hilhorst, D.; Mainguy, M.
1999
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
2010
Combined triangular FV-triangular FE method for nonlinear convection-diffusion problems. Zbl 1128.65079
Bejček, Michal; Feistauer, Miloslav; Gallouët, Thierry; Hájek, Jaroslav; Herbin, Raphaelle
2007
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.
2018
A MUSCL-type segregated – explicit staggered scheme for the Euler equations. Zbl 1410.76226
Gastaldo, Laura; Herbin, Raphaèle; Latché, Jean-Claude; Therme, Nicolas
2018
A cell-centered finite volume scheme on general meshes for the Stokes equations in two space dimensions. Zbl 1084.76052
Eymard, Robert; Herbin, Raphaèle
2003
Benchmark 3D: the VAG scheme. Zbl 1246.76084
Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle
2011
A posteriori error estimate for finite volume approximations of convection diffusion problems. Zbl 1060.65103
Herbin, Raphaèle; Ohlberger, Mario
2002
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
2013
On the weak consistency of finite volumes schemes for conservation laws on general meshes. Zbl 1434.65149
Gallouët, T.; Herbin, R.; Latché, J.-C.
2019
A uniqueness result for measure-valued solutions of nonlinear hyperbolic equations. Zbl 0806.35114
Gallouët, Thierry; Herbin, Raphaèle
1993
Low Mach number limit of some staggered schemes for compressible barotropic flows. Zbl 1460.35258
Herbin, R.; Latché, J.-C.; Saleh, K.
2021
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
2011
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
2010
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
2002
Gradient schemes for image processing. Zbl 1246.65163
Eymard, Robert; Handlovičová, Angela; Herbin, Raphaèle; Mikula, Karol; Stašová, Olga
2011
The gradient discretisation method for linear advection problems. Zbl 1451.65175
Droniou, Jérôme; Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle
2020
Fluid-active structure interaction: Arterial flow. (Interaction fluide-structure active: Écoulement artériel.) Zbl 0873.76099
Teppaz, Pierre; Ohayon, Jacques; Herbin, Raphaèle
1997
A finite volume scheme on general meshes for the steady Navier-Stokes equations in two space dimensions. Zbl 1173.76361
Eymard, Robert; Herbin, Raphaèle
2004
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.
2021
A cell-centred pressure-correction scheme for the compressible Euler equations. Zbl 1467.65089
Herbin, Raphaèle; Latché, Jean-Claude; Zaza, Chady
2020
Finite volume schemes for nonlinear parabolic problems: another regularization method. Zbl 1134.35069
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaele
2007
Measure, integration, probability. (Mesure, intégration, probabilités.) Zbl 1273.28001
Gallouët, Thierry; Herbin, Raphaèle
2013
A collocated finite volume scheme to solve free convection for general non-conforming grids. Zbl 1158.76028
Chénier, Eric; Eymard, Robert; Herbin, Raphaèle
2009
Parallel implementation of a multigrid method on the experimental lCAP supercomputer. Zbl 0654.65077
Herbin, Raphaele; Gerbi, Stephane; Sonnad, Vijay
1988
Low Mach number limit of some staggered schemes for compressible barotropic flows. Zbl 1460.35258
Herbin, R.; Latché, J.-C.; Saleh, K.
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.
2021
Consistent internal energy based schemes for the compressible Euler equations. Zbl 07388295
Gallouët, T.; Herbin, R.; Latché, J.-C.; Therme, N.
2021
The gradient discretisation method for linear advection problems. Zbl 1451.65175
Droniou, Jérôme; Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle
2020
A cell-centred pressure-correction scheme for the compressible Euler equations. Zbl 1467.65089
Herbin, Raphaèle; Latché, Jean-Claude; Zaza, Chady
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.
2019
A decoupled staggered scheme for the shallow water equations. Zbl 1471.65116
Herbin, Raphaèle; Latché, Jean-Claude; Nasseri, Youssouf; Therme, Nicolas
2019
The gradient discretisation method. Zbl 1435.65005
Droniou, Jérôme; Eymard, Robert; Gallouët, Thierry; Guichard, Cindy; Herbin, Raphaèle
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
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.
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.
2018
A MUSCL-type segregated – explicit staggered scheme for the Euler equations. Zbl 1410.76226
Gastaldo, Laura; Herbin, Raphaèle; Latché, Jean-Claude; Therme, Nicolas
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.
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.
2017
Gradient schemes: generic tools for the numerical analysis of diffusion equations. Zbl 1346.65042
Droniou, Jérome; Eymard, Robert; Herbin, Raphaèle
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
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
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.
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
2015
Applications of approximate gradient schemes for nonlinear parabolic equations. Zbl 1340.65187
Eymard, Robert; Handlovičová, Angela; Herbin, Raphaèle; Mikula, Karol; Stašová, Olga
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
2014
TP or not TP, that is the question. Zbl 1378.76118
Eymard, R.; Gallouët, T.; Guichard, C.; Herbin, R.; Masson, R.
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.
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.
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
2013
Explicit staggered schemes for the compressible Euler equations. Zbl 1329.76206
Herbin, R.; Latché, J.-C.; Nguyen, T. T.
2013
Pressure correction staggered schemes for barotropic one-phase and two-phase flows. Zbl 1391.76778
Kheriji, Walid; Herbin, Raphaèle; Latché, Jean-Claude
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.
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
2013
Measure, integration, probability. (Mesure, intégration, probabilités.) Zbl 1273.28001
Gallouët, Thierry; Herbin, Raphaèle
2013
Gradient schemes for the Stefan problem. Zbl 1482.65162
Eymard, Robert; Féron, Pierre; Gallouët, Thierry; Herbin, Raphaèle; Guichard, Cindy
2013
Small-stencil 3D schemes for diffusive flows in porous media. Zbl 1271.76324
Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle
2012
Vertex centred discretization of two-phase Darcy flows on general meshes. Zbl 1357.76037
Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle; Masson, Roland
2012
Finite volume schemes for the biharmonic problem on general meshes. Zbl 1271.65135
Eymard, R.; Gallouët, T.; Herbin, R.; Linke, A.
2012
Staggered schemes for all speed flows. Zbl 1357.76038
Herbin, Raphaèle; Kheriji, Walid; Latche, Jean-Claude
2012
W$$^{1,q }$$ stability of the Fortin operator for the MAC scheme. Zbl 1248.76109
Gallouët, T.; Herbin, R.; Latché, J.-C.
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
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.
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
2011
Approximation of the biharmonic problem using P1 finite elements. Zbl 1261.65118
Eymard, Robert; Herbin, Raphaèle; Rhoudaf, Mohamed
2011
Gradient scheme approximations for diffusion problems. Zbl 1246.65205
Eymard, Robert; Herbin, Raphaèle
2011
Benchmark 3D: the VAG scheme. Zbl 1246.76084
Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle
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
2011
Gradient schemes for image processing. Zbl 1246.65163
Eymard, Robert; Handlovičová, Angela; Herbin, Raphaèle; Mikula, Karol; Stašová, Olga
2011
An extension of the MAC scheme to some unstructured meshes. Zbl 1246.76113
Chénier, Eric; Eymard, Robert; Herbin, Raphaèle
2011
Multiphase flow in porous media using the VAG scheme. Zbl 1246.76085
Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle; Masson, Roland
2011
Discretization of the viscous dissipation term with the MAC scheme. Zbl 1246.76063
Babik, F.; Herbin, R.; Kheriji, W.; Latché, J.-C.
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.
2010
A unified approach to mimetic finite difference, hybrid finite volume and mixed finite volume methods. Zbl 1191.65142
Jérôme; Droniou; Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle
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.
2010
Convergence of the MAC scheme for the compressible Stokes equations. Zbl 1417.65185
Eymard, R.; Gallouët, T.; Herbin, R.; Latché, J.-C.
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
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
2010
A nine-point finite volume scheme for the simulation of diffusion in heterogeneous media. Zbl 1166.65051
Agelas, Léo; Eymard, Robert; Herbin, Raphaèle
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.
2009
Cell centred discretisation of non linear elliptic problems on general multidimensional polyhedral grids. Zbl 1179.65138
Eymard, R.; Gallouët, T.; Herbin, R.
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
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.
2009
A collocated finite volume scheme to solve free convection for general non-conforming grids. Zbl 1158.76028
Chénier, Eric; Eymard, Robert; Herbin, Raphaèle
2009
Benchmark on discretization schemes for anisotropic diffusion problems on general grids. Zbl 1422.65314
Herbin, Raphaèle; Hubert, Florence
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
2008
Discretization of coupled heat and electrical diffusion problems by finite-element and finite-volume methods. Zbl 1144.78024
Bradji, Abdallah; Herbin, Raphaèle
2008
SUSHI: a scheme using stabilization and hybrid interfaces for anisotropic heterogeneous diffusion problems. Zbl 1422.65310
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle
2008
Discretization schemes for linear diffusion operators on general non-conforming meshes. Zbl 1422.65309
Eymard, R.; Gallouët, T.; Herbin, R.
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
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
2008
A new finite volume scheme for anisotropic diffusion problems on general grids: convergence analysis. Zbl 1112.65120
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle
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.
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
2007
Analysis tools for finite volume schemes. Zbl 1133.65062
Eymard, Robert; Gallouët, Thiery; Herbin, Raphaele; Latché, Jean Claude
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
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.
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
2007
Finite volume schemes for nonlinear parabolic problems: another regularization method. Zbl 1134.35069
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaele
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.
2006
On a stabilized collocated finite volume scheme for the Stokes problem. Zbl 1160.76370
Eymard, Robert; Herbin, Raphaèle; Latché, Jean-Claude
2006
A finite volume scheme for anisotropic diffusion problems. Zbl 1055.65124
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaéle
2004
An error estimate for finite volume methods for the Stokes equations on equilateral triangular meshes. Zbl 1116.76395
Blanc, Philippe; Eymard, Robert; Herbin, Raphaèle
2004
The Lions domain decomposition algorithm on non-matching cell-centred finite volume meshes. Zbl 1065.65137
Cautrès, René; Herbin, Raphaèle; Hubert, Florence
2004
Convergence of linear finite elements for diffusion equations with measure data. Zbl 1038.65110
Gallouët, Thierry; Herbin, Raphaèle
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
2004
Mathematical study of a petroleum-engineering scheme. Zbl 1118.76355
Eymard, Robert; Herbin, Raphaèle; Michel, Anthony
2003
A finite volume scheme for a noncoercive elliptic equation with measure data. Zbl 1058.65127
Droniou, Jérôme; Gallouët, Thierry; Herbin, Raphaèle
2003
A monotonic method for the numerical solution of some free boundary value problems. Zbl 1040.65055
Herbin, Raphaèle
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
2003
Convergence of a finite volume scheme for nonlinear degenerate parabolic equations. Zbl 1005.65099
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle; Michel, Anthony
2002
Error estimate for approximate solutions of a nonlinear convection-diffusion problem. Zbl 1173.35563
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle
2002
A posteriori error estimate for finite volume approximations of convection diffusion problems. Zbl 1060.65103
Herbin, Raphaèle; Ohlberger, Mario
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
2002
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
2001
Finite volume approximation of elliptic problems and convergence of an approximate gradient. Zbl 0982.65122
Eymard, R.; Gallouët, T.; Herbin, R.
2001
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.
2001
Finite volume approximation of a class of variational inequalities. Zbl 0990.65069
Herbin, Raphaèle; Marchand, Emmanuelle
2001
Finite volume methods. Zbl 0981.65095
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle
2000
Numerical approximation of an elliptic-parabolic equation arising in environment. Zbl 1060.76075
Eymard, R.; Gallouët, T.; Gutnic, M.; Herbin, R.; Hilhorst, D.
2000
Convergence of finite volume schemes for semilinear convection diffusion equations. Zbl 0930.65118
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle
1999
Finite volume approximation of elliptic problems with irregular data. Zbl 1052.65552
Gallouët, Thierry; Herbin, Raphaèle
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
1999
Instantaneous and noninstantaneous dissolution: Approximation by the finite volume method. Zbl 1020.65052
Eymard, R.; Gallouët, T.; Herbin, R.; Hilhorst, D.; Mainguy, M.
1999
A result of convergence and error estimate of an approximate gradient for elliptic problems. Zbl 1052.65551
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle
1999
...and 12 more Documents
all top 5

### Cited by 1,434 Authors

 60 Eymard, Robert 55 Herbin, Raphaèle 49 Droniou, Jérôme 42 Gallouët, Thierry 38 Di Pietro, Daniele Antonio 33 Cancès, Clément 32 Latché, Jean-Claude 26 Bradji, Abdallah 25 Masson, Roland 24 Yuan, Guangwei 22 Manzini, Gianmarco 22 Vohralík, Martin 20 Brenner, Konstantin 20 Chainais-Hillairet, Claire 19 Saad, Mazen 18 Beirão da Veiga, Lourenço 18 Fuhrmann, Jürgen 18 Wu, Jiming 16 Andreianov, Boris 16 Ern, Alexandre 16 Zou, Qingsong 15 Brezzi, Franco 14 Hilhorst, Danielle 13 Karlsen, Kenneth Hvistendahl 12 Marini, Luisa Donatella 12 Pop, Iuliu Sorin 12 Sheng, Zhiqiang 11 Guichard, Cindy 11 Lipnikov, Konstantin N. 11 Russo, Alessandro 11 Sepúlveda, Mauricio A. 10 Antonietti, Paola Francesca 10 Bendahmane, Mostafa 10 Linke, Alexander 10 Risebro, Nils Henrik 10 Terekhov, Kirill M. 9 Bessemoulin-Chatard, Marianne 9 Gao, Zhiming 9 Le Potier, Christophe 9 Lukáčová-Medvid’ová, Mária 9 Luo, Zhendong 9 Mikula, Karol 9 Quenjel, EL Houssaine 9 Zhang, Zhimin 8 Feireisl, Eduard 8 Hérard, Jean-Marc 8 Krell, Stella 8 Ohlberger, Mario 8 She, Bangwei 8 Tchelepi, Hamdi A. 7 Clain, Stéphane Louis 7 Goudon, Thierry 7 Rivière, Beatrice M. 7 Rui, Hongxing 7 Vovelle, Julien 6 Alnashri, Yahya Ahmad 6 Benkhaldoun, Fayssal 6 Botti, Michele 6 Cheng, Hanz Martin C. 6 Després, Bruno 6 Formaggia, Luca 6 Gaspar, Francisco José 6 Glitzky, Annegret 6 Hermeline, François 6 Minjeaud, Sebastian 6 Murakawa, Hideki 6 Nabet, Flore 6 Ruiz-Baier, Ricardo 6 Scotti, Anna 6 Su, Shuai 6 Temam, Roger Meyer 6 Verani, Marco 6 Vignal, Marie-Hélène 6 Wang, Yihong 6 Yang, Min 6 Ye, Xiu 5 Agelas, Leo 5 Bauzet, Caroline 5 Bonelle, Jérôme 5 Botti, Lorenzo 5 Bürger, Raimund 5 Calgaro, Caterina 5 Castelletto, Nicola 5 Chénier, Eric 5 Coatléven, Julien 5 Coudière, Yves 5 Faille, Isabelle 5 Fumagalli, Alessio 5 Girault, Vivette 5 Goatin, Paola 5 Handlovičová, Angela 5 Ibrahim, Moustafa 5 Jüngel, Ansgar 5 Maltese, David 5 Mathis, Hélène 5 Mizerová, Hana 5 Rodrigo, Carmen 5 Seguin, Nicolas 5 Shashkov, Mikhail J. 5 Tambue, Antoine ...and 1,334 more Authors
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### Cited in 167 Serials

 111 Journal of Computational Physics 67 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 59 Numerische Mathematik 44 Computers & Mathematics with Applications 43 Journal of Computational and Applied Mathematics 43 Journal of Scientific Computing 42 Mathematics of Computation 41 Computer Methods in Applied Mechanics and Engineering 38 Applied Numerical Mathematics 37 Computational Geosciences 32 SIAM Journal on Numerical Analysis 32 Comptes Rendus. Mathématique. Académie des Sciences, Paris 26 Computers and Fluids 24 Applied Mathematics and Computation 24 Numerical Methods for Partial Differential Equations 21 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 20 International Journal on Finite Volumes 19 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 16 SIAM Journal on Scientific Computing 15 Computational Methods in Applied Mathematics 13 Journal of Mathematical Analysis and Applications 11 Advances in Computational Mathematics 11 Communications in Computational Physics 9 Journal of Differential Equations 9 Mathematics and Computers in Simulation 9 Journal of Numerical Mathematics 8 Applied Mathematical Modelling 8 Discrete and Continuous Dynamical Systems. Series S 7 Archive for Rational Mechanics and Analysis 7 Calcolo 6 International Journal for Numerical Methods in Fluids 6 RAIRO. Modélisation Mathématique et Analyse Numérique 6 Computational and Applied Mathematics 6 International Journal of Numerical Analysis and Modeling 5 BIT 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Computational Mechanics 5 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 5 Nonlinear Analysis. Real World Applications 5 Discrete and Continuous Dynamical Systems. Series B 5 SMAI Journal of Computational Mathematics 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Mathematical and Computer Modelling 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 International Journal for Numerical Methods in Engineering 3 Journal of Functional Analysis 3 Numerical Functional Analysis and Optimization 3 Transactions of the American Mathematical Society 3 Applications of Mathematics 3 SIAM Journal on Mathematical Analysis 3 Russian Journal of Numerical Analysis and Mathematical Modelling 3 Doklady Mathematics 3 Vietnam Journal of Mathematics 3 Journal of Mathematical Fluid Mechanics 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 Mathematical Methods in the Applied Sciences 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 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 Japan Journal of Industrial and Applied Mathematics 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 Arab Journal of Mathematical Sciences 2 Computing and Visualization in Science 2 Journal of Inequalities and Applications 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Communications in Nonlinear Science and Numerical Simulation 2 Communications on Pure and Applied Analysis 2 Advances in Applied Mathematics and Mechanics 2 Science China. Mathematics 2 Stochastic and Partial Differential Equations. Analysis and Computations 2 Journal of Mathematics 2 Results in Applied Mathematics 2 Journal of Computational and Theoretical Transport 1 Computer Physics Communications 1 Journal of Mathematical Biology 1 Physics Letters. A 1 Bulletin of Mathematical Biology 1 Chaos, Solitons and Fractals 1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Quarterly of Applied Mathematics 1 Results in Mathematics 1 Ricerche di Matematica 1 SIAM Journal on Control and Optimization ...and 67 more Serials
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### Cited in 39 Fields

 929 Numerical analysis (65-XX) 621 Partial differential equations (35-XX) 527 Fluid mechanics (76-XX) 75 Mechanics of deformable solids (74-XX) 56 Biology and other natural sciences (92-XX) 41 Geophysics (86-XX) 37 Statistical mechanics, structure of matter (82-XX) 35 Classical thermodynamics, heat transfer (80-XX) 28 Probability theory and stochastic processes (60-XX) 27 Calculus of variations and optimal control; optimization (49-XX) 23 Optics, electromagnetic theory (78-XX) 16 Operations research, mathematical programming (90-XX) 13 Functional analysis (46-XX) 10 Computer science (68-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Integral equations (45-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Information and communication theory, circuits (94-XX) 6 Global analysis, analysis on manifolds (58-XX) 4 Potential theory (31-XX) 3 General and overarching topics; collections (00-XX) 3 Ordinary differential equations (34-XX) 3 Operator theory (47-XX) 3 Mechanics of particles and systems (70-XX) 3 Systems theory; control (93-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Difference and functional equations (39-XX) 2 General topology (54-XX) 2 Quantum theory (81-XX) 1 Combinatorics (05-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 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX)

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