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Author ID: herbin.raphaele Recent zbMATH articles by "Herbin, Raphaèle"
Published as: Herbin, Raphaèle; Herbin, R.; Herbin, Raphaele; Herbin, Raphaéle; Herbin, Raphaelle
Homepage: https://www.i2m.univ-amu.fr/perso/raphaele.herbin/
External Links: MGP · Wikidata · GND · IdRef · theses.fr
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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

Publications by Year

Citations contained in zbMATH Open

126 Publications have been cited 3,096 times in 1,581 Documents Cited by Year
Finite volume methods. Zbl 0981.65095
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle
714
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.
199
2010
Benchmark on discretization schemes for anisotropic diffusion problems on general grids. Zbl 1422.65314
Herbin, Raphaèle; Hubert, Florence
150
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
129
2010
The gradient discretisation method. Zbl 1435.65005
Droniou, Jérôme; Eymard, Robert; Gallouët, Thierry; Guichard, Cindy; Herbin, Raphaèle
99
2018
Small-stencil 3D schemes for diffusive flows in porous media. Zbl 1271.76324
Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle
86
2012
Convergence of a finite volume scheme for nonlinear degenerate parabolic equations. Zbl 1005.65099
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle; Michel, Anthony
82
2002
Gradient schemes: a generic framework for the discretisation of linear, nonlinear and nonlocal elliptic and parabolic equations. Zbl 1281.65136
Droniou, Jerome; Eymard, Robert; Gallouet, Thierry; Herbin, Raphaele
76
2013
A cell-centred finite-volume approximation for anisotropic diffusion operators on unstructured meshes in any space dimension. Zbl 1093.65110
Eymard, R.; Gallouët, T.; Herbin, R.
65
2006
Mathematical study of a petroleum-engineering scheme. Zbl 1118.76355
Eymard, Robert; Herbin, Raphaèle; Michel, Anthony
63
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.
59
1998
A nine-point finite volume scheme for the simulation of diffusion in heterogeneous media. Zbl 1166.65051
Agelas, Léo; Eymard, Robert; Herbin, Raphaèle
50
2009
3D benchmark on discretization schemes for anisotropic diffusion problems on general grids. Zbl 1246.76053
Eymard, Robert; Henry, Gérard; Herbin, Raphaèle; Hubert, Florence; Klöfkorn, Robert
48
2011
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
46
2008
An error estimate for a finite volume scheme for a diffusion-convection problem on a triangular mesh. Zbl 0822.65085
Herbin, Raphaèle
45
1995
Gradient schemes for two-phase flow in heterogeneous porous media and Richards equation. Zbl 1297.76159
Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle; Masson, Roland
42
2014
Gradient schemes: generic tools for the numerical analysis of diffusion equations. Zbl 1346.65042
Droniou, Jérome; Eymard, Robert; Herbin, Raphaèle
39
2016
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.
33
2009
TP or not TP, that is the question. Zbl 1378.76118
Eymard, R.; Gallouët, T.; Guichard, C.; Herbin, R.; Masson, R.
33
2014
A new finite volume scheme for anisotropic diffusion problems on general grids: convergence analysis. Zbl 1112.65120
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle
32
2007
Convergence analysis of a colocated finite volume scheme for the incompressible Navier-Stokes equations on general 2D or 3D meshes. Zbl 1173.76028
Eymard, R.; Herbin, R.; Latché, J. C.
32
2007
Finite volume approximation of elliptic problems and convergence of an approximate gradient. Zbl 0982.65122
Eymard, R.; Gallouët, T.; Herbin, R.
31
2001
Existence and uniqueness of the entropy solution to a nonlinear hyperbolic equation. Zbl 0830.35077
Eymard, R.; Gallouët, T.; Herbin, R.
30
1995
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
Convergence of the MAC scheme for the compressible Stokes equations. Zbl 1417.65185
Eymard, R.; Gallouët, T.; Herbin, R.; Latché, J.-C.
28
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.
27
2014
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
27
2016
Convergence of finite volume schemes for semilinear convection diffusion equations. Zbl 0930.65118
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle
26
1999
Existence of a solution to a coupled elliptic system. Zbl 0791.35043
Gallouët, T.; Herbin, R.
26
1994
On a stabilized collocated finite volume scheme for the Stokes problem. Zbl 1160.76370
Eymard, Robert; Herbin, Raphaèle; Latché, Jean-Claude
25
2006
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.
25
2010
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
Numerical approximation of an elliptic-parabolic equation arising in environment. Zbl 1060.76075
Eymard, R.; Gallouët, T.; Gutnic, M.; Herbin, R.; Hilhorst, D.
19
2000
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
Error estimates for a numerical approximation to the compressible barotropic Navier-Stokes equations. Zbl 1433.76083
Gallouët, Thierry; Herbin, Raphaèle; Maltese, David; Novotny, Antonin
19
2016
Gradient schemes for the Stefan problem. Zbl 1482.65162
Eymard, Robert; Féron, Pierre; Gallouët, Thierry; Herbin, Raphaèle; Guichard, Cindy
19
2013
Finite volume schemes for the biharmonic problem on general meshes. Zbl 1271.65135
Eymard, R.; Gallouët, T.; Herbin, R.; Linke, A.
18
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
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
An error estimate for finite volume methods for the Stokes equations on equilateral triangular meshes. Zbl 1116.76395
Blanc, Philippe; Eymard, Robert; Herbin, Raphaèle
16
2004
W\(^{1,q }\) stability of the Fortin operator for the MAC scheme. Zbl 1248.76109
Gallouët, T.; Herbin, R.; Latché, J.-C.
15
2012
Staggered schemes for all speed flows. Zbl 1357.76038
Herbin, Raphaèle; Kheriji, Walid; Latche, Jean-Claude
14
2012
SUSHI: a scheme using stabilization and hybrid interfaces for anisotropic heterogeneous diffusion problems. Zbl 1422.65310
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle
14
2008
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
A finite volume scheme for anisotropic diffusion problems. Zbl 1055.65124
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaéle
13
2004
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 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
12
2011
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
12
2018
A new colocated finite volume scheme for the incompressible Navier-Stokes equations on general non matching grids. Zbl 1114.76047
Eymard, Robert; Herbin, Raphaèle
12
2007
Pressure correction staggered schemes for barotropic one-phase and two-phase flows. Zbl 1391.76778
Kheriji, Walid; Herbin, Raphaèle; Latché, Jean-Claude
12
2013
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
Analysis tools for finite volume schemes. Zbl 1133.65062
Eymard, Robert; Gallouët, Thiery; Herbin, Raphaele; Latché, Jean Claude
11
2007
Diffusion with dissolution and precipitation in a porous medium: mathematical analysis and numerical approximation of a simplified model. Zbl 1130.76086
Bouillard, Nicolas; Eymard, Robert; Herbin, Raphaele; Montarnal, Philippe
11
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.
11
2018
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
10
2011
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
Measure, integration, probability. (Mesure, intégration, probabilités.) Zbl 1273.28001
Gallouët, Thierry; Herbin, Raphaèle
9
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.
9
2010
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
Discontinuous Galerkin discretization and \(hp\)-refinement for the resolution of the neutron transport equation. Zbl 1267.74119
Fournier, D.; Herbin, R.; Le Tellier, R.
8
2013
Convergence of linear finite elements for diffusion equations with measure data. Zbl 1038.65110
Gallouët, Thierry; Herbin, Raphaèle
8
2004
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
8
2013
An extension of the MAC scheme to locally refined meshes: convergence analysis for the full tensor time-dependent Navier-Stokes equations. Zbl 1310.76105
Chénier, Eric; Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle
7
2015
Discretization schemes for linear diffusion operators on general non-conforming meshes. Zbl 1422.65309
Eymard, R.; Gallouët, T.; Herbin, R.
7
2008
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.
7
2014
Low Mach number limit of some staggered schemes for compressible barotropic flows. Zbl 1460.35258
Herbin, R.; Latché, J.-C.; Saleh, K.
7
2021
Kinetic energy control in the MAC discretization of compressible Navier-Stokes equations. Zbl 1490.76152
Herbin, Raphaele; Latché, Jean-Claude
7
2010
Finite volume schemes for elliptic and elliptic-hyperbolic problems on triangular meshes. Zbl 0897.76072
Herbin, Raphaèle; Labergerie, Olivier
6
1997
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
6
2011
A monotonic method for the numerical solution of some free boundary value problems. Zbl 1040.65055
Herbin, Raphaèle
6
2003
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
Finite volume approximation of a class of variational inequalities. Zbl 0990.65069
Herbin, Raphaèle; Marchand, Emmanuelle
6
2001
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
6
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
6
2007
A cell-centred pressure-correction scheme for the compressible Euler equations. Zbl 1467.65089
Herbin, Raphaèle; Latché, Jean-Claude; Zaza, Chady
6
2020
A staggered finite volume scheme on general meshes for the Navier-Stokes equations in two space dimensions. Zbl 1490.65241
Eymard, Robert; Herbin, Raphaèle
6
2005
Approximation of obstacle problems by continuation methods. Zbl 0668.65048
Conrad, Francis; Herbin, Raphaele; Mittelmann, Hans D.
6
1988
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
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
Applications of approximate gradient schemes for nonlinear parabolic equations. Zbl 1340.65187
Eymard, Robert; Handlovičová, Angela; Herbin, Raphaèle; Mikula, Karol; Stašová, Olga
5
2015
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
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
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
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
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
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 staggered finite volume scheme on general meshes for the generalized Stokes problem in two space dimensions. Zbl 1490.65236
Blanc, Philippe; Eymard, Robert; Herbin, Raphaèle
4
2005
A posteriori error estimate for finite volume approximations of convection diffusion problems. Zbl 1060.65103
Herbin, Raphaèle; Ohlberger, Mario
3
2002
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 uniqueness result for measure-valued solutions of nonlinear hyperbolic equations. Zbl 0806.35114
Gallouët, Thierry; Herbin, Raphaèle
3
1993
A collocated finite volume scheme to solve free convection for general non-conforming grids. Zbl 1158.76028
Chénier, Eric; Eymard, Robert; Herbin, Raphaèle
3
2009
Fluid-active structure interaction: Arterial flow. (Interaction fluide-structure active: Écoulement artériel.) Zbl 0873.76099
Teppaz, Pierre; Ohayon, Jacques; Herbin, Raphaèle
2
1997
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 class of staggered schemes for the compressible Euler equations. Zbl 1422.65208
Herbin, Raphaele; Latché, Jean-Claude
1
2019
A decoupled staggered scheme for the shallow water equations. Zbl 1471.65116
Herbin, Raphaèle; Latché, Jean-Claude; Nasseri, Youssouf; Therme, Nicolas
1
2019
The gradient discretisation method. Zbl 1435.65005
Droniou, Jérôme; Eymard, Robert; Gallouët, Thierry; Guichard, Cindy; Herbin, Raphaèle
99
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
12
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
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
Convergence of the MAC scheme for variable density flows. Zbl 1391.76407
Gallouët, T.; Herbin, R.; Latché, J.-C.; Mallem, K.
1
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
Gradient schemes: generic tools for the numerical analysis of diffusion equations. Zbl 1346.65042
Droniou, Jérome; Eymard, Robert; Herbin, Raphaèle
39
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
27
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
19
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
7
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
2
2015
Gradient schemes for two-phase flow in heterogeneous porous media and Richards equation. Zbl 1297.76159
Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle; Masson, Roland
42
2014
TP or not TP, that is the question. Zbl 1378.76118
Eymard, R.; Gallouët, T.; Guichard, C.; Herbin, R.; Masson, R.
33
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.
7
2014
Gradient schemes: a generic framework for the discretisation of linear, nonlinear and nonlocal elliptic and parabolic equations. Zbl 1281.65136
Droniou, Jerome; Eymard, Robert; Gallouet, Thierry; Herbin, Raphaele
76
2013
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
19
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
Measure, integration, probability. (Mesure, intégration, probabilités.) Zbl 1273.28001
Gallouët, Thierry; Herbin, Raphaèle
9
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.
8
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
8
2013
Small-stencil 3D schemes for diffusive flows in porous media. Zbl 1271.76324
Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle
86
2012
Finite volume schemes for the biharmonic problem on general meshes. Zbl 1271.65135
Eymard, R.; Gallouët, T.; Herbin, R.; Linke, A.
18
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
W\(^{1,q }\) stability of the Fortin operator for the MAC scheme. Zbl 1248.76109
Gallouët, T.; Herbin, R.; Latché, J.-C.
15
2012
Staggered schemes for all speed flows. Zbl 1357.76038
Herbin, Raphaèle; Kheriji, Walid; Latche, Jean-Claude
14
2012
3D benchmark on discretization schemes for anisotropic diffusion problems on general grids. Zbl 1246.76053
Eymard, Robert; Henry, Gérard; Herbin, Raphaèle; Hubert, Florence; Klöfkorn, Robert
48
2011
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
12
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
10
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
6
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.
199
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
129
2010
Convergence of the MAC scheme for the compressible Stokes equations. Zbl 1417.65185
Eymard, R.; Gallouët, T.; Herbin, R.; Latché, J.-C.
28
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.
25
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.
9
2010
Kinetic energy control in the MAC discretization of compressible Navier-Stokes equations. Zbl 1490.76152
Herbin, Raphaele; Latché, Jean-Claude
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
6
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
50
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.
33
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
3
2009
Benchmark on discretization schemes for anisotropic diffusion problems on general grids. Zbl 1422.65314
Herbin, Raphaèle; Hubert, Florence
150
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
46
2008
SUSHI: a scheme using stabilization and hybrid interfaces for anisotropic heterogeneous diffusion problems. Zbl 1422.65310
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle
14
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
Discretization schemes for linear diffusion operators on general non-conforming meshes. Zbl 1422.65309
Eymard, R.; Gallouët, T.; Herbin, R.
7
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
32
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.
32
2007
A new colocated finite volume scheme for the incompressible Navier-Stokes equations on general non matching grids. Zbl 1114.76047
Eymard, Robert; Herbin, Raphaèle
12
2007
Analysis tools for finite volume schemes. Zbl 1133.65062
Eymard, Robert; Gallouët, Thiery; Herbin, Raphaele; Latché, Jean Claude
11
2007
Diffusion with dissolution and precipitation in a porous medium: mathematical analysis and numerical approximation of a simplified model. Zbl 1130.76086
Bouillard, Nicolas; Eymard, Robert; Herbin, Raphaele; Montarnal, Philippe
11
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
6
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
Finite volume schemes for nonlinear parabolic problems: another regularization method. Zbl 1134.35069
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaele
2
2007
On the discretization of the coupled heat and electrical diffusion problems. Zbl 1137.65430
Bradji, Abdallah; Herbin, Raphaèle
1
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
25
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
6
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
4
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
16
2004
A finite volume scheme for anisotropic diffusion problems. Zbl 1055.65124
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaéle
13
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
63
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
82
2002
Error estimate for approximate solutions of a nonlinear convection-diffusion problem. Zbl 1173.35563
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle
17
2002
...and 26 more Documents
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Cited by 1,933 Authors

69 Eymard, Robert
66 Herbin, Raphaèle
57 Droniou, Jérôme
51 Gallouët, Thierry
43 Di Pietro, Daniele Antonio
41 Latché, Jean-Claude
38 Cancès, Clément
33 Bradji, Abdallah
32 Masson, Roland
30 Yuan, Guangwei
26 Brenner, Konstantin
26 Chainais-Hillairet, Claire
24 Manzini, Gianmarco
24 Saad, Mazen
23 Vohralík, Martin
21 Fuhrmann, Jürgen
21 Wu, Jiming
21 Zou, Qingsong
20 Andreianov, Boris
19 Beirão da Veiga, Lourenço
17 Ern, Alexandre
17 Quenjel, EL Houssaine
16 Guichard, Cindy
16 Hilhorst, Danielle
15 Brezzi, Franco
15 Sheng, Zhiqiang
14 Gao, Zhiming
14 Lukáčová-Medviďová, Mária
14 Sepúlveda, Mauricio A.
13 Bendahmane, Mostafa
13 Karlsen, Kenneth Hvistendahl
13 Krell, Stella
13 Mikula, Karol
13 Pop, Iuliu Sorin
12 Goudon, Thierry
12 Marini, Luisa Donatella
12 Terekhov, Kirill M.
12 Zhang, Zhimin
11 Benkhaldoun, Fayssal
11 Feireisl, Eduard
11 Hérard, Jean-Marc
11 Linke, Alexander
11 Lipnikov, Konstantin N.
11 Risebro, Nils Henrik
11 Rui, Hongxing
11 Russo, Alessandro
10 Antonietti, Paola Francesca
10 Després, Bruno
10 Le Potier, Christophe
10 Luo, Zhendong
10 Maltese, David
10 She, Bangwei
9 Alnashri, Yahya Ahmad
9 Bauzet, Caroline
9 Bessemoulin-Chatard, Marianne
9 Clain, Stéphane Louis
9 Nabet, Flore
9 Rivière, Beatrice M.
9 Tchelepi, Hamdi A.
8 Glitzky, Annegret
8 Goatin, Paola
8 Handlovičová, Angela
8 Hermeline, François
8 Jüngel, Ansgar
8 Minjeaud, Sebastian
8 Ohlberger, Mario
8 Rhoudaf, Mohamed
7 Cheng, Hanz Martin C.
7 Chénier, Eric
7 Coatléven, Julien
7 Enchéry, Guillaume
7 Formaggia, Luca
7 Fumagalli, Alessio
7 Li, Yonghai
7 Murakawa, Hideki
7 Novotný, Antonín
7 Ouaro, Stanislas
7 Scotti, Anna
7 Vallet, Guy
7 Vovelle, Julien
7 Ye, Xiu
6 Botti, Michele
6 Boyer, Franck
6 Bürger, Raimund
6 Calgaro, Caterina
6 Castelletto, Nicola
6 Coudière, Yves
6 Faille, Isabelle
6 Farrell, Patricio
6 Gaspar, Francisco José
6 Herda, Maxime
6 Hošek, Radim
6 Hubert, Florence
6 Machado, Gaspar J.
6 Mizerová, Hana
6 Ndjinga, Michaël
6 Ruiz-Baier, Ricardo
6 Saleh, Khaled
6 Schwab, Christoph
6 Su, Shuai
...and 1,833 more Authors
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Cited in 208 Serials

135 Journal of Computational Physics
85 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
63 Numerische Mathematik
61 Journal of Scientific Computing
57 Computers & Mathematics with Applications
57 Journal of Computational and Applied Mathematics
55 Computer Methods in Applied Mechanics and Engineering
51 Numerical Methods for Partial Differential Equations
48 Mathematics of Computation
42 Applied Numerical Mathematics
41 SIAM Journal on Numerical Analysis
39 Computational Geosciences
34 Comptes Rendus. Mathématique. Académie des Sciences, Paris
30 Applied Mathematics and Computation
29 Computers and Fluids
22 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
22 SIAM Journal on Scientific Computing
21 International Journal on Finite Volumes
19 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
19 Communications in Computational Physics
18 Mathematics and Computers in Simulation
15 Advances in Computational Mathematics
15 Computational Methods in Applied Mathematics
14 Journal of Mathematical Analysis and Applications
12 Mathematical Methods in the Applied Sciences
11 International Journal for Numerical Methods in Fluids
11 Applied Mathematical Modelling
10 Journal of Differential Equations
10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
9 Calcolo
9 Journal of Numerical Mathematics
8 International Journal for Numerical Methods in Engineering
8 Computational and Applied Mathematics
8 Discrete and Continuous Dynamical Systems. Series S
7 Archive for Rational Mechanics and Analysis
7 Mathematical and Computer Modelling
7 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
7 Journal of Mathematical Fluid Mechanics
7 Nonlinear Analysis. Real World Applications
7 International Journal of Numerical Analysis and Modeling
7 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
7 SMAI Journal of Computational Mathematics
6 BIT
6 RAIRO. Modélisation Mathématique et Analyse Numérique
6 Computational Mechanics
6 SIAM Journal on Mathematical Analysis
5 Computer Physics Communications
5 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
5 Foundations of Computational Mathematics
5 Discrete and Continuous Dynamical Systems. Series B
5 Networks and Heterogeneous Media
4 Numerical Functional Analysis and Optimization
4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 Applications of Mathematics
4 Calculus of Variations and Partial Differential Equations
4 Russian Journal of Numerical Analysis and Mathematical Modelling
4 Vietnam Journal of Mathematics
4 Multiscale Modeling & Simulation
4 International Journal of Computational Methods
4 Journal of Hyperbolic Differential Equations
4 Results in Applied Mathematics
3 Journal of Engineering Mathematics
3 Journal of Mathematical Biology
3 Journal of Functional Analysis
3 Mathematische Nachrichten
3 Transactions of the American Mathematical Society
3 Applied Mathematics Letters
3 Japan Journal of Industrial and Applied Mathematics
3 Numerical Linear Algebra with Applications
3 Discrete and Continuous Dynamical Systems
3 Arab Journal of Mathematical Sciences
3 Doklady Mathematics
3 Computing and Visualization in Science
3 Communications in Nonlinear Science and Numerical Simulation
3 Lobachevskii Journal of Mathematics
3 Advances in Applied Mathematics and Mechanics
3 GEM - International Journal on Geomathematics
3 AIMS Mathematics
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 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 NoDEA. Nonlinear Differential Equations and Applications
2 International Journal of Computational Fluid Dynamics
2 Journal of Inequalities and Applications
2 Journal of Evolution Equations
2 Matematicheskoe Modelirovanie
...and 108 more Serials
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Cited in 43 Fields

1,248 Numerical analysis (65-XX)
851 Partial differential equations (35-XX)
712 Fluid mechanics (76-XX)
111 Mechanics of deformable solids (74-XX)
77 Biology and other natural sciences (92-XX)
60 Geophysics (86-XX)
48 Classical thermodynamics, heat transfer (80-XX)
47 Statistical mechanics, structure of matter (82-XX)
39 Probability theory and stochastic processes (60-XX)
38 Calculus of variations and optimal control; optimization (49-XX)
36 Optics, electromagnetic theory (78-XX)
22 Operations research, mathematical programming (90-XX)
20 Computer science (68-XX)
17 Functional analysis (46-XX)
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10 Dynamical systems and ergodic theory (37-XX)
8 Potential theory (31-XX)
8 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
8 Information and communication theory, circuits (94-XX)
7 Real functions (26-XX)
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7 Approximations and expansions (41-XX)
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6 Measure and integration (28-XX)
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4 General and overarching topics; collections (00-XX)
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