Edit Profile (opens in new tab) Dubois, François Compute Distance To: Compute Author ID: dubois.francois Published as: Dubois, François; Dubois, F.; Dubois, Francois External Links: MGP Documents Indexed: 70 Publications since 1987, including 1 Book 3 Contributions as Editor Co-Authors: 51 Co-Authors with 55 Joint Publications 837 Co-Co-Authors all top 5 Co-Authors 17 single-authored 20 Lallemand, Pierre 15 Tekitek, Mohamed Mahdi 6 Graille, Benjamin 5 Salaun, Michel 5 Salmon, Stéphanie 3 Augier, Adeline 3 Boghosian, Bruce M. 3 Bouzidi, M’hamed 3 LeFloch, Philippe Gerard 2 Bossavit, Alain 2 Dellacherie, Stéphane 2 Deü, Jean-François 2 Fauve, Stephan 2 Galucio, A. C. 2 Gatignol, Renée 2 Greff, Isabelle 2 Mehlman, Guillaume 2 Mengué, Stéphanie 2 Pierre, Charles 2 Rapetti, Francesca 2 Terrasse, Isabelle 1 Abboud, Toufic 1 Balin, Nolwenn 1 Baraille, Rémy 1 Borel-Sandou, Sophie 1 Bourdin, Ghislaine 1 Busemeyer, Jerome R. 1 Casenave, Fabien 1 Després, Bruno 1 d’Humières, Dominique 1 Duceau, Eric 1 Duprey, Stefan 1 Fevrier, Tony 1 Fortune, Danielle 1 Gouarin, Loïc 1 Lafitte, Olivier D. 1 Lambert-Mogiliansky, Ariane 1 le Meur, Hervé V. J. 1 Le Potier, Christophe 1 Leroux, Alain-Yves 1 Lin, Chao-An 1 Melucci, Massimo 1 Noumir, Youness 1 Obrecht, Christian 1 Otomo, Hiroshi 1 Quintero, Juan Antonio Rojas 1 Reiss, Claude 1 Saïdi, Abdelkader 1 Stoliaroff, Dimitri 1 Toffano, Zeno 1 Vallee, Claude all top 5 Serials 9 Computers & Mathematics with Applications 6 Computers and Fluids 4 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 4 Communications in Computational Physics 3 Numerische Mathematik 3 Comptes Rendus de l’Académie des Sciences. Série I 2 Computer Methods in Applied Mechanics and Engineering 2 SIAM Journal on Numerical Analysis 2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 2 Progress in Computational Fluid Dynamics 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 AIAA Journal 1 Journal of Computational Physics 1 Journal of Statistical Physics 1 Mathematical Methods in the Applied Sciences 1 Journal of Differential Equations 1 Numerical Methods for Partial Differential Equations 1 Asymptotic Analysis 1 Numerical Algorithms 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 La Recherche Aérospatiale 1 Discrete and Continuous Dynamical Systems 1 Journal of Vibration and Control 1 European Journal of Mechanics. B. Fluids 1 Journal of Turbulence 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Hyperbolic Differential Equations 1 Journal of Statistical Mechanics: Theory and Experiment 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Lecture Notes in Computer Science 1 MathematicS In Action all top 5 Fields 48 Fluid mechanics (76-XX) 32 Numerical analysis (65-XX) 23 Partial differential equations (35-XX) 5 Ordinary differential equations (34-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 General and overarching topics; collections (00-XX) 3 Real functions (26-XX) 3 Quantum theory (81-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 59 Publications have been cited 456 times in 333 Documents Cited by ▼ Year ▼ Boundary conditions for nonlinear hyperbolic systems of conservation laws. Zbl 0649.35057Dubois, François; Le Floch, Philippe 106 1988 Vorticity-velocity-pressure formulation for the Stokes problem. Zbl 1099.76049Dubois, François 28 2002 Equivalent partial differential equations of a lattice Boltzmann scheme. Zbl 1142.76449Dubois, François 27 2008 Discrete vector potential representation of a divergence-free vector field in three-dimensional domains: Numerical analysis of a model problem. Zbl 0717.65086Dubois, François 24 1990 Vorticity-velocity-pressure and stream function-vorticity formulations for the Stokes problem. Zbl 1070.76014Dubois, François; Salaün, Michel; Salmon, Stéphanie 24 2003 Adjoint lattice Boltzmann equation for parameter identification. Zbl 1177.76330Tekitek, M. M.; Bouzidi, M.; Dubois, F.; Lallemand, P. 19 2006 First vorticity-velocity-pressure numerical scheme for the Stokes problem. Zbl 1054.76047Dubois, F.; Salaün, M.; Salmon, S. 14 2003 On a superconvergent lattice Boltzmann boundary scheme. Zbl 1193.76106Dubois, François; Lallemand, Pierre; Tekitek, Mahdi 13 2010 Quartic parameters for acoustic applications of lattice Boltzmann scheme. Zbl 1225.76259Dubois, François; Lallemand, Pierre 13 2011 Discrete vector potentials for nonsimply connected three-dimensional domains. Zbl 1048.78013Rapetti, Francesca; Dubois, François; Bossavit, Alain 11 2003 An adaptation of the Gear scheme for fractional derivatives. Zbl 1123.65123Galucio, A. C.; Deü, J.-F.; Mengué, S.; Dubois, F. 10 2006 Third order equivalent equation of lattice Boltzmann scheme. Zbl 1156.82365Dubois, François 10 2009 Une version à pas fractionnaires du schéma de Godunov pour l’hydrodynamique. (A splitted version of the Godunov scheme for hydrodynamic models). Zbl 0745.76049Baraille, Rémy; Bourdin, Ghislaine; Dubois, François; Le Roux, Alain-Yves 10 1992 An introduction to the lattice Boltzmann scheme. (Une introduction au schéma de Boltzmann sur réseau.) Zbl 1359.76227Dubois, François 8 2007 Unconditionally stable scheme for Riccati equation. Zbl 0948.34038Dubois, François; Saïdi, Abdelkader 8 2000 On rotational invariance of lattice Boltzmann schemes. Zbl 1381.76276Augier, Adeline; Dubois, François; Graille, Benjamin; Lallemand, Pierre 8 2014 Mixed collocation for fractional differential equations. Zbl 1038.65059Dubois, François; Mengué, Stéphanie 8 2003 Lattice Boltzmann schemes with relative velocities. Zbl 1373.76236Dubois, François; Fevrier, Tony; Graille, Benjamin 7 2015 Towards perfectly matching layers for lattice Boltzmann equation. Zbl 1189.76415Tekitek, M. M.; Bouzidi, M.; Dubois, F.; Lallemand, P. 6 2009 On lattice Boltzmann scheme, finite volumes and boundary conditions. Zbl 1169.76049Dubois, F.; Lallemand, P. 6 2008 The \(G^{\alpha}\) -scheme for approximation of fractional derivatives: application to the dynamics of dissipative systems. Zbl 1229.74054Galucio, A. C.; Deü, J.-F.; Dubois, F. 6 2008 A non-parametrized entropy correction for Roe’s approximate Riemann solver. Zbl 0861.65073Dubois, François; Mehlman, Guillaume 6 1996 Une formulation tourbillon-vitesse-pression pour le problème de Stokes. (A vorticity-velocity-pressure formulation for the Stokes problem). Zbl 0744.35032Dubois, François 6 1992 Towards higher order lattice Boltzmann schemes. Zbl 1459.76097Dubois, François; Lallemand, Pierre 6 2009 Discrete harmonics for streamfunction-vorticity Stokes problem. Zbl 1018.76021Dubois, François; Salaün, Michel; Salmon, Stéphanie 5 2002 Boundary element and finite element coupling for aeroacoustics simulations. Zbl 1349.76172Balin, Nolwenn; Casenave, Fabien; Dubois, François; Duceau, Eric; Duprey, Stefan; Terrasse, Isabelle 5 2015 Stable lattice Boltzmann schemes with a dual entropy approach for monodimensional nonlinear waves. Zbl 1268.76057Dubois, François 4 2013 Boundary condition for systems of hyperbolic conservation laws. (Condition à la limite pour un système de lois de conservation.) Zbl 0634.35046Dubois, François; Le Floch, Philippe 4 1987 Efficient lattice Boltzmann models for the Kuramoto-Sivashinsky equation. Zbl 1410.76373Otomo, Hiroshi; Boghosian, Bruce M.; Dubois, François 4 2018 Finite volumes and mixed Petrov-Galerkin finite elements: The unidimensional problem. Zbl 0954.65062Dubois, François 3 2000 Some results on energy-conserving lattice Boltzmann models. Zbl 1319.76040Lallemand, Pierre; Dubois, François 3 2013 Taylor expansion method for linear lattice Boltzmann schemes with an external force: application to boundary conditions. Zbl 1353.76061Dubois, François; Lallemand, Pierre; Tekitek, Mohamed Mahdi 3 2014 Taylor expansion method for analyzing bounce-back boundary conditions for lattice Boltzmann method. Zbl 1381.76281Dubois, François; Lallemand, Pierre; Tekitek, Mohamed Mahdi 3 2015 Nonlinear interpolation and total variation diminishing schemes. Zbl 0769.65067Dubois, François 3 1991 Comparison of simulations of convective flows. Zbl 1373.76251Lallemand, Pierre; Dubois, François 3 2015 On triangular lattice Boltzmann schemes for scalar problems. Zbl 1373.82046Dubois, François; Lallemand, Pierre 3 2013 On numerical reflected waves in lattice Boltzmann schemes. Zbl 1138.76055Tekitek, M. M.; Bouzidi, M.; Dubois, F.; Lallemand, P. 2 2008 Discrete harmonics for the Stokes problem. Zbl 0984.76045Dubois, François; Salaün, Michel; Salmon, Stéphanie 2 2000 Linear lattice Boltzmann schemes for acoustic: parameter choices and isotropy properties. Zbl 1319.76035Augier, Adeline; Dubois, François; Gouarin, Loïc; Graille, Benjamin 2 2013 On anti bounce back boundary condition for lattice Boltzmann schemes. Zbl 1443.76170Dubois, François; Lallemand, Pierre; Tekitek, Mohamed Mahdi 2 2020 Anisotropic thermal lattice Boltzmann simulation of 2D natural convection in a square cavity. Zbl 1390.76709Dubois, François; Lin, Chao-An; Tekitek, Mohamed Mahdi 2 2016 Lattice Boltzmann model approximated with finite difference expressions. Zbl 1410.76351Dubois, François; Lallemand, Pierre; Obrecht, Christian; Mahdi Tekitek, Mohamed 2 2017 Quantum interaction. 6th international symposium, QI 2012, Paris, France, June 27–29, 2012. Revised selected papers. Zbl 1257.68020 1 2012 Petrov-Galerkin finite volumes. Zbl 1059.65520Dubois, François 1 2002 Flux vector splitting and stationary contact discontinuity. (Décomposition de flux et discontinuité de contact stationnaire.) Zbl 0983.76054Dubois, François 1 2000 Isotropy conditions for lattice Boltzmann schemes. Application to D2Q9. Zbl 1357.76067Augier, Adeline; Dubois, Francois; Graille, Benjamin 1 2012 Nonparameterized ”entropy fix” for Roe’s method. Zbl 0784.76059Dubois, François; Mehlman, Guillaume 1 1993 Pontryagin calculus in Riemannian geometry. Zbl 1406.70003Dubois, François; Fortuné, Danielle; Quintero, Juan Antonio Rojas; Vallée, Claude 1 2015 Raviart-Thomas finite elements of Petrov-Galerkin type. Zbl 1427.65335Dubois, Francois; Greff, Isabelle; Pierre, Charles 1 2019 Boundary conditions for Petrov-Galerkin finite volumes. Zbl 1422.65334Borel, Sophie; Dubois, François; Le Potier, Christophe; Tekitek, Mohamed Mahdi 1 2005 Using the lattice Boltzmann scheme for anisotropic diffusion problems. Zbl 1374.76182Dubois, François; Lallemand, Pierre; Tekitek, Mohamed Mahdi 1 2008 Using lattice Boltzmann scheme for anisotropic diffusion. Zbl 1374.76183Dubois, François; Lallemand, Pierre; Tekitek, Mohamed Mahdi 1 2008 Boundary conditions for nonlinear hyperbolic systems of conservation laws. Zbl 0662.76099Dubois, François; Le Floch, Philippe 1 1989 Concavité de l’entropie thermostatique et convexité de l’entropie mathématique au sens de Lax. (Concavity of the thermostatic entropy and convexity of the Lax’s mathematical entropy). Zbl 0713.76084Dubois, F. 1 1990 Conservation laws invariant for Galileo group; Cemracs preliminary results. Zbl 0981.35038Dubois, François 1 2001 Integer matrix factorization for mesh defect detection. Zbl 0997.65052Rapetti, Francesca; Dubois, François; Bossavit, Alain 1 2002 Unexpected convergence of lattice Boltzmann schemes. Zbl 1410.76338Boghosian, Bruce M.; Dubois, Francois; Graille, Benjamin; Lallemand, Pierre; Tekitek, Mohamed Mahdi 1 2018 Coupling linear sloshing with six degrees of freedom rigid body dynamics. Zbl 1408.76052Dubois, François; Stoliaroff, Dimitri; Terrasse, Isabelle 1 2015 Eigenlogic: a quantum view for multiple-valued and fuzzy systems. Zbl 1401.03103Dubois, François; Toffano, Zeno 1 2017 On anti bounce back boundary condition for lattice Boltzmann schemes. Zbl 1443.76170Dubois, François; Lallemand, Pierre; Tekitek, Mohamed Mahdi 2 2020 Raviart-Thomas finite elements of Petrov-Galerkin type. Zbl 1427.65335Dubois, Francois; Greff, Isabelle; Pierre, Charles 1 2019 Efficient lattice Boltzmann models for the Kuramoto-Sivashinsky equation. Zbl 1410.76373Otomo, Hiroshi; Boghosian, Bruce M.; Dubois, François 4 2018 Unexpected convergence of lattice Boltzmann schemes. Zbl 1410.76338Boghosian, Bruce M.; Dubois, Francois; Graille, Benjamin; Lallemand, Pierre; Tekitek, Mohamed Mahdi 1 2018 Lattice Boltzmann model approximated with finite difference expressions. Zbl 1410.76351Dubois, François; Lallemand, Pierre; Obrecht, Christian; Mahdi Tekitek, Mohamed 2 2017 Eigenlogic: a quantum view for multiple-valued and fuzzy systems. Zbl 1401.03103Dubois, François; Toffano, Zeno 1 2017 Anisotropic thermal lattice Boltzmann simulation of 2D natural convection in a square cavity. Zbl 1390.76709Dubois, François; Lin, Chao-An; Tekitek, Mohamed Mahdi 2 2016 Lattice Boltzmann schemes with relative velocities. Zbl 1373.76236Dubois, François; Fevrier, Tony; Graille, Benjamin 7 2015 Boundary element and finite element coupling for aeroacoustics simulations. Zbl 1349.76172Balin, Nolwenn; Casenave, Fabien; Dubois, François; Duceau, Eric; Duprey, Stefan; Terrasse, Isabelle 5 2015 Taylor expansion method for analyzing bounce-back boundary conditions for lattice Boltzmann method. Zbl 1381.76281Dubois, François; Lallemand, Pierre; Tekitek, Mohamed Mahdi 3 2015 Comparison of simulations of convective flows. Zbl 1373.76251Lallemand, Pierre; Dubois, François 3 2015 Pontryagin calculus in Riemannian geometry. Zbl 1406.70003Dubois, François; Fortuné, Danielle; Quintero, Juan Antonio Rojas; Vallée, Claude 1 2015 Coupling linear sloshing with six degrees of freedom rigid body dynamics. Zbl 1408.76052Dubois, François; Stoliaroff, Dimitri; Terrasse, Isabelle 1 2015 On rotational invariance of lattice Boltzmann schemes. Zbl 1381.76276Augier, Adeline; Dubois, François; Graille, Benjamin; Lallemand, Pierre 8 2014 Taylor expansion method for linear lattice Boltzmann schemes with an external force: application to boundary conditions. Zbl 1353.76061Dubois, François; Lallemand, Pierre; Tekitek, Mohamed Mahdi 3 2014 Stable lattice Boltzmann schemes with a dual entropy approach for monodimensional nonlinear waves. Zbl 1268.76057Dubois, François 4 2013 Some results on energy-conserving lattice Boltzmann models. Zbl 1319.76040Lallemand, Pierre; Dubois, François 3 2013 On triangular lattice Boltzmann schemes for scalar problems. Zbl 1373.82046Dubois, François; Lallemand, Pierre 3 2013 Linear lattice Boltzmann schemes for acoustic: parameter choices and isotropy properties. Zbl 1319.76035Augier, Adeline; Dubois, François; Gouarin, Loïc; Graille, Benjamin 2 2013 Quantum interaction. 6th international symposium, QI 2012, Paris, France, June 27–29, 2012. Revised selected papers. Zbl 1257.68020 1 2012 Isotropy conditions for lattice Boltzmann schemes. Application to D2Q9. Zbl 1357.76067Augier, Adeline; Dubois, Francois; Graille, Benjamin 1 2012 Quartic parameters for acoustic applications of lattice Boltzmann scheme. Zbl 1225.76259Dubois, François; Lallemand, Pierre 13 2011 On a superconvergent lattice Boltzmann boundary scheme. Zbl 1193.76106Dubois, François; Lallemand, Pierre; Tekitek, Mahdi 13 2010 Third order equivalent equation of lattice Boltzmann scheme. Zbl 1156.82365Dubois, François 10 2009 Towards perfectly matching layers for lattice Boltzmann equation. Zbl 1189.76415Tekitek, M. M.; Bouzidi, M.; Dubois, F.; Lallemand, P. 6 2009 Towards higher order lattice Boltzmann schemes. Zbl 1459.76097Dubois, François; Lallemand, Pierre 6 2009 Equivalent partial differential equations of a lattice Boltzmann scheme. Zbl 1142.76449Dubois, François 27 2008 On lattice Boltzmann scheme, finite volumes and boundary conditions. Zbl 1169.76049Dubois, F.; Lallemand, P. 6 2008 The \(G^{\alpha}\) -scheme for approximation of fractional derivatives: application to the dynamics of dissipative systems. Zbl 1229.74054Galucio, A. C.; Deü, J.-F.; Dubois, F. 6 2008 On numerical reflected waves in lattice Boltzmann schemes. Zbl 1138.76055Tekitek, M. M.; Bouzidi, M.; Dubois, F.; Lallemand, P. 2 2008 Using the lattice Boltzmann scheme for anisotropic diffusion problems. Zbl 1374.76182Dubois, François; Lallemand, Pierre; Tekitek, Mohamed Mahdi 1 2008 Using lattice Boltzmann scheme for anisotropic diffusion. Zbl 1374.76183Dubois, François; Lallemand, Pierre; Tekitek, Mohamed Mahdi 1 2008 An introduction to the lattice Boltzmann scheme. (Une introduction au schéma de Boltzmann sur réseau.) Zbl 1359.76227Dubois, François 8 2007 Adjoint lattice Boltzmann equation for parameter identification. Zbl 1177.76330Tekitek, M. M.; Bouzidi, M.; Dubois, F.; Lallemand, P. 19 2006 An adaptation of the Gear scheme for fractional derivatives. Zbl 1123.65123Galucio, A. C.; Deü, J.-F.; Mengué, S.; Dubois, F. 10 2006 Boundary conditions for Petrov-Galerkin finite volumes. Zbl 1422.65334Borel, Sophie; Dubois, François; Le Potier, Christophe; Tekitek, Mohamed Mahdi 1 2005 Vorticity-velocity-pressure and stream function-vorticity formulations for the Stokes problem. Zbl 1070.76014Dubois, François; Salaün, Michel; Salmon, Stéphanie 24 2003 First vorticity-velocity-pressure numerical scheme for the Stokes problem. Zbl 1054.76047Dubois, F.; Salaün, M.; Salmon, S. 14 2003 Discrete vector potentials for nonsimply connected three-dimensional domains. Zbl 1048.78013Rapetti, Francesca; Dubois, François; Bossavit, Alain 11 2003 Mixed collocation for fractional differential equations. Zbl 1038.65059Dubois, François; Mengué, Stéphanie 8 2003 Vorticity-velocity-pressure formulation for the Stokes problem. Zbl 1099.76049Dubois, François 28 2002 Discrete harmonics for streamfunction-vorticity Stokes problem. Zbl 1018.76021Dubois, François; Salaün, Michel; Salmon, Stéphanie 5 2002 Petrov-Galerkin finite volumes. Zbl 1059.65520Dubois, François 1 2002 Integer matrix factorization for mesh defect detection. Zbl 0997.65052Rapetti, Francesca; Dubois, François; Bossavit, Alain 1 2002 Conservation laws invariant for Galileo group; Cemracs preliminary results. Zbl 0981.35038Dubois, François 1 2001 Unconditionally stable scheme for Riccati equation. Zbl 0948.34038Dubois, François; Saïdi, Abdelkader 8 2000 Finite volumes and mixed Petrov-Galerkin finite elements: The unidimensional problem. Zbl 0954.65062Dubois, François 3 2000 Discrete harmonics for the Stokes problem. Zbl 0984.76045Dubois, François; Salaün, Michel; Salmon, Stéphanie 2 2000 Flux vector splitting and stationary contact discontinuity. (Décomposition de flux et discontinuité de contact stationnaire.) Zbl 0983.76054Dubois, François 1 2000 A non-parametrized entropy correction for Roe’s approximate Riemann solver. Zbl 0861.65073Dubois, François; Mehlman, Guillaume 6 1996 Nonparameterized ”entropy fix” for Roe’s method. Zbl 0784.76059Dubois, François; Mehlman, Guillaume 1 1993 Une version à pas fractionnaires du schéma de Godunov pour l’hydrodynamique. (A splitted version of the Godunov scheme for hydrodynamic models). Zbl 0745.76049Baraille, Rémy; Bourdin, Ghislaine; Dubois, François; Le Roux, Alain-Yves 10 1992 Une formulation tourbillon-vitesse-pression pour le problème de Stokes. (A vorticity-velocity-pressure formulation for the Stokes problem). Zbl 0744.35032Dubois, François 6 1992 Nonlinear interpolation and total variation diminishing schemes. Zbl 0769.65067Dubois, François 3 1991 Discrete vector potential representation of a divergence-free vector field in three-dimensional domains: Numerical analysis of a model problem. Zbl 0717.65086Dubois, François 24 1990 Concavité de l’entropie thermostatique et convexité de l’entropie mathématique au sens de Lax. (Concavity of the thermostatic entropy and convexity of the Lax’s mathematical entropy). Zbl 0713.76084Dubois, F. 1 1990 Boundary conditions for nonlinear hyperbolic systems of conservation laws. Zbl 0662.76099Dubois, François; Le Floch, Philippe 1 1989 Boundary conditions for nonlinear hyperbolic systems of conservation laws. Zbl 0649.35057Dubois, François; Le Floch, Philippe 106 1988 Boundary condition for systems of hyperbolic conservation laws. (Condition à la limite pour un système de lois de conservation.) Zbl 0634.35046Dubois, François; Le Floch, Philippe 4 1987 all cited Publications top 5 cited Publications all top 5 Cited by 541 Authors 22 Dubois, François 13 Lallemand, Pierre 10 Colombo, Rinaldo M. 9 Tekitek, Mohamed Mahdi 8 Chorfi, Nejmeddine 8 Krafczyk, Manfred 8 Luo, Lishi 8 Sagaut, Pierre 7 Hérard, Jean-Marc 7 LeFloch, Philippe Gerard 6 Bernardi, Christine 6 Coquel, Frédéric 6 Geier, Martin 6 Shao, Zhiqiang 5 Monk, Peter B. 5 Salaun, Michel 5 Salmon, Stéphanie 4 Abdelwahed, Mohamed 4 Alonso Rodríguez, Ana 4 Andreianov, Boris 4 Daude, Frédéric 4 Galon, Pascal 4 Godlewski, Edwige 4 Graille, Benjamin 4 Iampietro, David 4 Kaikina, Elena Igorevna 4 Krause, Mathias J. 4 Mishra, Siddhartha 4 Pasquali, Andrea 4 Rapetti, Francesca 4 Spinolo, Laura V. 4 Yaji, Kentaro 3 Abboud, Toufic 3 Bartel, Andreas 3 Boghosian, Bruce M. 3 Boutin, Benjamin 3 Chacón Rebollo, Tomás 3 Chalons, Christophe 3 Deü, Jean-François 3 El Chami, Fida 3 Heubes, Daniel 3 Karlsen, Kenneth Hvistendahl 3 Klemens, Fabian 3 Matsumoto, Toshiro 3 Ouertani, Henda 3 Raviart, Pierre-Arnaud 3 Rosini, Massimiliano Daniele 3 Sayah, Toni 3 Seguin, Nicolas 3 Svärd, Magnus 3 Thäter, Gudrun 3 Wissocq, Gauthier 3 Yao, Aidi 3 Yoshino, Masato 2 Amadori, Debora 2 Amara, Mohamed 2 Ambroso, Annalisa 2 Amoura, Karima 2 Azaïez, Mejdi 2 Benitez, Felipe 2 Berthelin, Florent 2 Berthon, Christophe 2 Bianchini, Stefano 2 Bolster, Diogo T. 2 Bouchut, François 2 Bürger, Raimund 2 Coclite, Giuseppe Maria 2 Colombeau, Mathilde 2 Cuesta, Ildefonso 2 Després, Bruno 2 Di Francesco, Marco 2 Domínguez Delgado, Antonio 2 Eslahchi, Mohammad Reza 2 Evgrafov, Anton 2 Fakhari, Abbas 2 Fernández-Nieto, Enrique Domingo 2 Foucher, Françoise 2 Gallouët, Thierry 2 Galucio, A. C. 2 Garavello, Mauro 2 Ginzburg, Irina 2 Glass, Olivier 2 Goatin, Paola 2 Gowda, G. D. Veerappa 2 Guo, Ben-Yu 2 Guo, Zhaoli 2 Hecht, Frédéric 2 Hejranfar, Kazem 2 Helluy, Philippe 2 Herty, Michael Matthias 2 Holle, Yannick 2 Hurisse, Olivier 2 Isakari, Hiroshi 2 Izui, Kazuhiro 2 Kamali, M. Z. M. 2 Kwon, Young-Sam 2 Lagoutière, Frédéric 2 Laminie, Jacques 2 Lee, Taehun 2 Manoubi, Imen ...and 441 more Authors all top 5 Cited in 103 Serials 35 Computers & Mathematics with Applications 32 Journal of Computational Physics 22 Computers and Fluids 12 Journal of Computational and Applied Mathematics 12 Journal of Differential Equations 10 Mathematics of Computation 9 Computer Methods in Applied Mechanics and Engineering 9 Journal of Mathematical Analysis and Applications 9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Journal of Scientific Computing 7 Journal of Hyperbolic Differential Equations 6 Mathematical Methods in the Applied Sciences 6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 6 Networks and Heterogeneous Media 5 Calcolo 5 Numerische Mathematik 5 Applied Numerical Mathematics 5 Numerical Methods for Partial Differential Equations 5 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 5 Boundary Value Problems 3 Acta Mechanica 3 Archive for Rational Mechanics and Analysis 3 SIAM Journal on Numerical Analysis 3 RAIRO. Modélisation Mathématique et Analyse Numérique 3 SIAM Journal on Scientific Computing 3 SMAI Journal of Computational Mathematics 2 Applied Mathematics and Computation 2 Transactions of the American Mathematical Society 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Numerical Algorithms 2 SIAM Journal on Applied Mathematics 2 Advances in Computational Mathematics 2 Journal of Vibration and Control 2 International Journal of Computational Fluid Dynamics 2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Multiscale Modeling & Simulation 2 Communications in Computational Physics 2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 International Journal of Modern Physics B 1 Applicable Analysis 1 Communications in Mathematical Physics 1 International Journal for Numerical Methods in Fluids 1 International Journal of Theoretical Physics 1 Journal of the Franklin Institute 1 Physica A 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Annales de l’Institut Fourier 1 BIT 1 Duke Mathematical Journal 1 International Journal for Numerical Methods in Engineering 1 Journal of Functional Analysis 1 Rendiconti del Seminario Matematico della Università di Padova 1 SIAM Journal on Control and Optimization 1 Acta Applicandae Mathematicae 1 Mathematical and Computer Modelling 1 Asymptotic Analysis 1 Applications of Mathematics 1 Communications in Partial Differential Equations 1 Journal of Elasticity 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Continuum Mechanics and Thermodynamics 1 Applied Mathematics. Series B (English Edition) 1 Calculus of Variations and Partial Differential Equations 1 Journal of Mathematical Sciences (New York) 1 Journal of the Egyptian Mathematical Society 1 Engineering Analysis with Boundary Elements 1 Discrete and Continuous Dynamical Systems 1 Mathematical Problems in Engineering 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Vietnam Journal of Mathematics 1 Journal of Shanghai University 1 International Journal of Numerical Modelling 1 Journal of Mathematical Fluid Mechanics 1 European Journal of Mechanics. B. Fluids 1 Interfaces and Free Boundaries 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series 1 Engineering Computations 1 Journal of Turbulence 1 Nonlinear Analysis. Real World Applications 1 Discrete and Continuous Dynamical Systems. Series B 1 Computational Methods in Applied Mathematics 1 Journal of Applied Mathematics 1 Journal of Numerical Mathematics 1 Journal of Applied Mathematics and Computing 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Acta Numerica 1 Journal of Statistical Mechanics: Theory and Experiment 1 Complex Variables and Elliptic Equations 1 Logica Universalis 1 Mathematical Modelling of Natural Phenomena 1 Kinetic and Related Models 1 Journal of Geometric Mechanics 1 Advances in Pure and Applied Mathematics 1 Afrika Matematika 1 Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications ...and 3 more Serials all top 5 Cited in 29 Fields 183 Fluid mechanics (76-XX) 158 Numerical analysis (65-XX) 155 Partial differential equations (35-XX) 20 Optics, electromagnetic theory (78-XX) 14 Mechanics of deformable solids (74-XX) 14 Operations research, mathematical programming (90-XX) 13 Ordinary differential equations (34-XX) 9 Statistical mechanics, structure of matter (82-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 6 General and overarching topics; collections (00-XX) 6 Real functions (26-XX) 6 Global analysis, analysis on manifolds (58-XX) 3 Combinatorics (05-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Quantum theory (81-XX) 3 Systems theory; control (93-XX) 2 Special functions (33-XX) 2 Approximations and expansions (41-XX) 2 Integral equations (45-XX) 2 Functional analysis (46-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Biology and other natural sciences (92-XX) 1 Mathematical logic and foundations (03-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral transforms, operational calculus (44-XX) 1 Differential geometry (53-XX) 1 Geophysics (86-XX) Citations by Year