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## Filbet, Francis

Compute Distance To:
 Author ID: filbet.francis Published as: Filbet, Francis; Filbet, F. External Links: MGP · Wikidata · IdRef · theses.fr
 Documents Indexed: 65 Publications since 2000, including 1 Book
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#### Co-Authors

 5 single-authored 8 Sonnendrücker, Eric 5 Laurençot, Philippe 5 Pareschi, Lorenzo 4 Yang, Chang 3 Chainais-Hillairet, Claire 3 Jin, Shi 3 Rey, Thomas 3 Rodrigues, Luis Miguel 3 Shu, Chi-Wang 2 Bessemoulin-Chatard, Marianne 2 Crevat, Joachim 2 Crouseilles, Nicolas 2 Dubroca, Bruno 2 Duclous, Roland 2 Guo, Ruihan 2 Mouhot, Clément 2 Xiong, Tao 1 Benachour, Said 1 Bertrand, Pierre 1 Besse, Nicolas 1 Boscarino, Sebastiano 1 Bourgade, Jean-Pierre 1 Buet, Christophe 1 Carrillo de la Plata, José Antonio 1 Chatard, Marianne 1 Cordier, Stéphane 1 Degond, Pierre 1 Faye, Grégory 1 Guo, Yan 1 Gutnic, Michaël 1 Heibig, Arnaud 1 Herda, Maxime 1 Hu, Jingwei 1 Lemaire, J.-L. 1 Negulescu, Claudia 1 Palade, Liviu-Iulian 1 Parzani, Céline 1 Paun, Ioana 1 Perthame, Benoît 1 Prouveur, Charles 1 Rambaud, Amélie 1 Schmidtchen, Markus 1 Tikhonchuk, Vladimir 1 Toscani, Giuseppe 1 Xu, Yan
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#### Serials

 11 Journal of Computational Physics 6 SIAM Journal on Scientific Computing 4 SIAM Journal on Numerical Analysis 4 Journal of Scientific Computing 3 Numerische Mathematik 2 IMA Journal of Numerical Analysis 2 Journal of Statistical Physics 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 2 Communications in Mathematical Sciences 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Computer Physics Communications 1 Journal of Mathematical Biology 1 Mathematical Methods in the Applied Sciences 1 Mathematics of Computation 1 Archiv der Mathematik 1 BIT 1 Journal of Computational and Applied Mathematics 1 Quarterly of Applied Mathematics 1 Transactions of the American Mathematical Society 1 International Journal of Computer Mathematics 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Multiscale Modeling & Simulation 1 Discrete and Continuous Dynamical Systems. Series S 1 Kinetic and Related Models 1 Journal de l’École Polytechnique – Mathématiques
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#### Fields

 47 Numerical analysis (65-XX) 42 Statistical mechanics, structure of matter (82-XX) 33 Partial differential equations (35-XX) 29 Fluid mechanics (76-XX) 7 Biology and other natural sciences (92-XX) 6 Optics, electromagnetic theory (78-XX) 4 Integral equations (45-XX) 2 Real functions (26-XX) 1 General and overarching topics; collections (00-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Differential geometry (53-XX) 1 Computer science (68-XX)

#### Citations contained in zbMATH Open

59 Publications have been cited 1,108 times in 709 Documents Cited by Year
Conservative numerical schemes for the Vlasov equation. Zbl 0998.65138
Filbet, Francis; Sonnendrücker, Eric; Bertrand, Pierre
2001
A class of asymptotic-preserving schemes for kinetic equations and related problems with stiff sources. Zbl 1202.82066
Filbet, Francis; Jin, Shi
2010
Comparison of Eulerian Vlasov solvers. Zbl 1196.82108
Filbet, F.; Sonnendrücker, E.
2003
Derivation of hyperbolic models for chemosensitive movement. Zbl 1080.92014
Filbet, Francis; Laurençot, Philippe; Perthame, Benoît
2005
A finite volume scheme for the Patlak-Keller-Segel chemotaxis model. Zbl 1098.92006
Filbet, Francis
2006
A finite volume scheme for nonlinear degenerate parabolic equations. Zbl 1273.65114
Bessemoulin-Chatard, Marianne; Filbet, Francis
2012
Numerical simulation of the Smoluchowski coagulation equation. Zbl 1086.65123
Filbet, Francis; Laurençot, Philippe
2004
High order numerical methods for the space non-homogeneous Boltzmann equation. Zbl 1034.82052
Filbet, Francis; Russo, Giovanni
2003
Solving the Boltzmann equation in $$N \log_2 N$$. Zbl 1174.82012
Filbet, Francis; Mouhot, Clément; Pareschi, Lorenzo
2006
An asymptotic preserving scheme for the ES-BGK model of the Boltzmann equation. Zbl 1433.82022
Filbet, Francis; Jin, Shi
2011
High order semi-implicit schemes for time dependent partial differential equations. Zbl 1353.65075
Boscarino, Sebastiano; Filbet, Francis; Russo, Giovanni
2016
On discrete functional inequalities for some finite volume schemes. Zbl 1326.65145
Bessemoulin-Chatard, Marianne; Chainais-Hillairet, Claire; Filbet, Francis
2015
A numerical method for the accurate solution of the Fokker-Planck-Landau equation in the nonhomogeneous case. Zbl 1003.82011
Filbet, Francis; Pareschi, Lorenzo
2002
Convergence of a finite volume scheme for coagulation-fragmentation equations. Zbl 1140.82032
2008
Asymptotic behaviour of a finite-volume scheme for the transient drift-diffusion model. Zbl 1133.65060
Chainais-Hillairet, Claire; Filbet, Francis
2007
Numerical approximation of collisional plasmas by high-order methods. Zbl 1076.76053
Crouseilles, Nicolas; Filbet, Francis
2004
Semilagrangian schemes applied to moving boundary problemsfor the BGK model of rarefied gas dynamics. Zbl 1372.76090
Russo, Giovanni; Filbet, Francis
2009
Approximation of hyperbolic models for chemosensitive movement. Zbl 1141.35396
Filbet, Francis; Shu, Chi-Wang
2005
Analysis of spectral methods for the homogeneous Boltzmann equation. Zbl 1213.82069
Filbet, Francis; Mouhot, Clément
2011
Modeling and numerical simulation of space charge dominated beams in the paraxial approximation. Zbl 1109.78013
Filbet, Francis; Sonnendrücker, Eric
2006
A numerical scheme for the quantum Boltzmann equation with stiff collision terms. Zbl 1277.82046
Filbet, Francis; Hu, Jingwei; Jin, Shi
2012
Convergence of a finite volume scheme for the Vlasov–Poisson system. Zbl 1007.65067
Filbet, Francis
2001
On the asymptotic limit of the three dimensional Vlasov-Poisson system for large magnetic field: formal derivation. Zbl 1360.35280
Degond, Pierre; Filbet, Francis
2016
High order resolution of the Maxwell-Fokker-Planck-Landau model intended for ICF applications. Zbl 1221.78051
Duclous, Roland; Dubroca, Bruno; Filbet, Francis; Tikhonchuk, Vladimir
2009
On deterministic approximation of the Boltzmann equation in a bounded domain. Zbl 1262.76089
Filbet, Francis
2012
An inverse Lax-Wendroff method for boundary conditions applied to Boltzmann type models. Zbl 1349.76459
Filbet, Francis; Yang, Chang
2013
Asymptotically stable particle-in-cell methods for the Vlasov-Poisson system with a strong external magnetic field. Zbl 1342.35392
Filbet, Francis; Rodrigues, Luis Miguel
2016
Mass-conserving solutions and non-conservative approximation to the Smoluchowski coagulation equation. Zbl 1152.82315
Filbet, Francis; Laurençot, Philippe
2004
A rescaling velocity method for dissipative kinetic equations. Applications to granular media. Zbl 1349.76330
Filbet, Francis; Rey, Thomas
2013
Asymptotically preserving particle-in-cell methods for inhomogeneous strongly magnetized plasmas. Zbl 1422.82006
Filbet, Francis; Rodrigues, Luis Miguel
2017
Numerical simulations of kinetic models for chemotaxis. Zbl 1297.35247
Filbet, Francis; Yang, Chang
2014
A finite volume scheme for boundary-driven convection-diffusion equations with relative entropy structure. Zbl 1381.65072
Filbet, Francis; Herda, Maxime
2017
Accurate numerical methods for the collisional motion of (heated) granular flows. Zbl 1288.76056
Filbet, Francis; Pareschi, Lorenzo; Toscani, Giuseppe
2005
A hierarchy of hybrid numerical methods for multiscale kinetic equations. Zbl 1320.76104
Filbet, Francis; Rey, Thomas
2015
On steady-state preserving spectral methods for homogeneous Boltzmann equations. (Sur des méthodes spectrales préservant les équilibres de l’équation de Boltzmann homogène.) Zbl 1315.35139
Filbet, Francis; Pareschi, Lorenzo; Rey, Thomas
2015
High order time discretization for backward semi-Lagrangian methods. Zbl 1334.65149
Filbet, Francis; Prouveur, Charles
2016
A rescaling velocity method for kinetic equations: the homogeneous case. Zbl 1173.82354
Filbet, Francis; Russo, Giovanni
2006
Numerical study of a nonlinear heat equation for plasma physics. Zbl 1258.65081
Filbet, Francis; Negulescu, Claudia; Yang, Chang
2012
Conservative and non-conservative methods based on Hermite weighted essentially non-oscillatory reconstruction for Vlasov equations. Zbl 1351.76194
Yang, Chang; Filbet, Francis
2014
Numerical approximation of the Lifshitz-Slyozov-Wagner equation. Zbl 1053.35085
Filbet, Francis; Laurençot, Philippe
2003
Global existence for the Vlasov-Darwin system in $$\mathbb R^3$$ for small initial data. Zbl 1024.35027
Benachour, Saïd; Filbet, Francis; Laurençot, Philippe; Sonnendrücker, Eric
2003
Efficient high order semi-implicit time discretization and local discontinuous Galerkin methods for highly nonlinear PDEs. Zbl 1352.65301
Guo, Ruihan; Filbet, Francis; Xu, Yan
2016
An adaptive numerical method for the Vlasov equation based on a multiresolution analysis. Zbl 1254.82035
Besse, N.; Filbet, F.; Gutnic, M.; Paun, I.; Sonnendrücker, E.
2003
Analysis of the relativistic Vlasov-Maxwell model in an interval. Zbl 1087.35087
Filbet, Francis; Guo, Yan; Shu, Chi-Wang
2005
Comparison of numerical schemes for Fokker-Planck-Landau equation. Zbl 1015.76061
Buet, Christophe; Cordier, Stéphane; Filbet, Francis
2001
Convergence of a finite volume scheme for a system of interacting species with cross-diffusion. Zbl 1443.76155
Carrillo, José A.; Filbet, Francis; Schmidtchen, Markus
2020
On the Vlasov-Maxwell system with a strong magnetic field. Zbl 1387.78011
Filbet, Francis; Xiong, Tao; Sonnendrücker, Eric
2018
Analysis of an asymptotic preserving scheme for relaxation systems. Zbl 1269.82058
Filbet, Francis; Rambaud, Amélie
2013
An asymptotically stable scheme for diffusive coagulation-fragmentation models. Zbl 1144.82081
Filbet, Francis
2008
Analysis of a high order finite volume scheme for the 1D Vlasov-Poisson system. Zbl 1242.82039
Filbet, Francis; Duclous, Roland; Dubroca, Bruno
2012
Rigorous derivation of the nonlocal reaction-diffusion FitzHugh-Nagumo system. Zbl 1408.35081
Crevat, Joachim; Faye, Grégory; Filbet, Francis
2019
Movie Communication: Numerical solution of the Fokker-Planck-Landau equation by spectral methods. Zbl 1081.82601
Filbet, Francis; Pareschi, Lorenzo
2003
Numerical methods for the Vlasov equation. Zbl 1254.82036
Filbet, F.; Sonnendrücker, E.
2003
Accurate numerical methods for the Boltzmann equation. Zbl 1106.82037
Filbet, Francis; Russo, Giovanni
2004
Discrete functional inequalities for finite volume schemes. (Quelques inégalités fonctionnelles discrètes pour des schémas volumes finis.) Zbl 1312.65142
Chatard, M.; Chainais-Hillairet, C.; Filbet, F.
2014
Discontinuous Galerkin methods for a kinetic model of self-organized dynamics. Zbl 1404.65168
Filbet, Francis; Shu, Chi-Wang
2018
On a three dimensional vision based collision avoidance model. Zbl 1376.82060
Parzani, Céline; Filbet, Francis
2017
Direct axisymmetric Vlasov simulations of space charge dominated beams. Zbl 1160.76406
Filbet, F.; Lemaire, J.-L.; Sonnendrücker, E.
2002
A conservative and entropic method for the Vlasov-Fokker-Planck-Landau equation. Zbl 1210.65152
Crouseilles, N.; Filbet, F.
2005
Convergence of a finite volume scheme for a system of interacting species with cross-diffusion. Zbl 1443.76155
Carrillo, José A.; Filbet, Francis; Schmidtchen, Markus
2020
Rigorous derivation of the nonlocal reaction-diffusion FitzHugh-Nagumo system. Zbl 1408.35081
Crevat, Joachim; Faye, Grégory; Filbet, Francis
2019
On the Vlasov-Maxwell system with a strong magnetic field. Zbl 1387.78011
Filbet, Francis; Xiong, Tao; Sonnendrücker, Eric
2018
Discontinuous Galerkin methods for a kinetic model of self-organized dynamics. Zbl 1404.65168
Filbet, Francis; Shu, Chi-Wang
2018
Asymptotically preserving particle-in-cell methods for inhomogeneous strongly magnetized plasmas. Zbl 1422.82006
Filbet, Francis; Rodrigues, Luis Miguel
2017
A finite volume scheme for boundary-driven convection-diffusion equations with relative entropy structure. Zbl 1381.65072
Filbet, Francis; Herda, Maxime
2017
On a three dimensional vision based collision avoidance model. Zbl 1376.82060
Parzani, Céline; Filbet, Francis
2017
High order semi-implicit schemes for time dependent partial differential equations. Zbl 1353.65075
Boscarino, Sebastiano; Filbet, Francis; Russo, Giovanni
2016
On the asymptotic limit of the three dimensional Vlasov-Poisson system for large magnetic field: formal derivation. Zbl 1360.35280
Degond, Pierre; Filbet, Francis
2016
Asymptotically stable particle-in-cell methods for the Vlasov-Poisson system with a strong external magnetic field. Zbl 1342.35392
Filbet, Francis; Rodrigues, Luis Miguel
2016
High order time discretization for backward semi-Lagrangian methods. Zbl 1334.65149
Filbet, Francis; Prouveur, Charles
2016
Efficient high order semi-implicit time discretization and local discontinuous Galerkin methods for highly nonlinear PDEs. Zbl 1352.65301
Guo, Ruihan; Filbet, Francis; Xu, Yan
2016
On discrete functional inequalities for some finite volume schemes. Zbl 1326.65145
Bessemoulin-Chatard, Marianne; Chainais-Hillairet, Claire; Filbet, Francis
2015
A hierarchy of hybrid numerical methods for multiscale kinetic equations. Zbl 1320.76104
Filbet, Francis; Rey, Thomas
2015
On steady-state preserving spectral methods for homogeneous Boltzmann equations. (Sur des méthodes spectrales préservant les équilibres de l’équation de Boltzmann homogène.) Zbl 1315.35139
Filbet, Francis; Pareschi, Lorenzo; Rey, Thomas
2015
Numerical simulations of kinetic models for chemotaxis. Zbl 1297.35247
Filbet, Francis; Yang, Chang
2014
Conservative and non-conservative methods based on Hermite weighted essentially non-oscillatory reconstruction for Vlasov equations. Zbl 1351.76194
Yang, Chang; Filbet, Francis
2014
Discrete functional inequalities for finite volume schemes. (Quelques inégalités fonctionnelles discrètes pour des schémas volumes finis.) Zbl 1312.65142
Chatard, M.; Chainais-Hillairet, C.; Filbet, F.
2014
An inverse Lax-Wendroff method for boundary conditions applied to Boltzmann type models. Zbl 1349.76459
Filbet, Francis; Yang, Chang
2013
A rescaling velocity method for dissipative kinetic equations. Applications to granular media. Zbl 1349.76330
Filbet, Francis; Rey, Thomas
2013
Analysis of an asymptotic preserving scheme for relaxation systems. Zbl 1269.82058
Filbet, Francis; Rambaud, Amélie
2013
A finite volume scheme for nonlinear degenerate parabolic equations. Zbl 1273.65114
Bessemoulin-Chatard, Marianne; Filbet, Francis
2012
A numerical scheme for the quantum Boltzmann equation with stiff collision terms. Zbl 1277.82046
Filbet, Francis; Hu, Jingwei; Jin, Shi
2012
On deterministic approximation of the Boltzmann equation in a bounded domain. Zbl 1262.76089
Filbet, Francis
2012
Numerical study of a nonlinear heat equation for plasma physics. Zbl 1258.65081
Filbet, Francis; Negulescu, Claudia; Yang, Chang
2012
Analysis of a high order finite volume scheme for the 1D Vlasov-Poisson system. Zbl 1242.82039
Filbet, Francis; Duclous, Roland; Dubroca, Bruno
2012
An asymptotic preserving scheme for the ES-BGK model of the Boltzmann equation. Zbl 1433.82022
Filbet, Francis; Jin, Shi
2011
Analysis of spectral methods for the homogeneous Boltzmann equation. Zbl 1213.82069
Filbet, Francis; Mouhot, Clément
2011
A class of asymptotic-preserving schemes for kinetic equations and related problems with stiff sources. Zbl 1202.82066
Filbet, Francis; Jin, Shi
2010
Semilagrangian schemes applied to moving boundary problemsfor the BGK model of rarefied gas dynamics. Zbl 1372.76090
Russo, Giovanni; Filbet, Francis
2009
High order resolution of the Maxwell-Fokker-Planck-Landau model intended for ICF applications. Zbl 1221.78051
Duclous, Roland; Dubroca, Bruno; Filbet, Francis; Tikhonchuk, Vladimir
2009
Convergence of a finite volume scheme for coagulation-fragmentation equations. Zbl 1140.82032
2008
An asymptotically stable scheme for diffusive coagulation-fragmentation models. Zbl 1144.82081
Filbet, Francis
2008
Asymptotic behaviour of a finite-volume scheme for the transient drift-diffusion model. Zbl 1133.65060
Chainais-Hillairet, Claire; Filbet, Francis
2007
A finite volume scheme for the Patlak-Keller-Segel chemotaxis model. Zbl 1098.92006
Filbet, Francis
2006
Solving the Boltzmann equation in $$N \log_2 N$$. Zbl 1174.82012
Filbet, Francis; Mouhot, Clément; Pareschi, Lorenzo
2006
Modeling and numerical simulation of space charge dominated beams in the paraxial approximation. Zbl 1109.78013
Filbet, Francis; Sonnendrücker, Eric
2006
A rescaling velocity method for kinetic equations: the homogeneous case. Zbl 1173.82354
Filbet, Francis; Russo, Giovanni
2006
Derivation of hyperbolic models for chemosensitive movement. Zbl 1080.92014
Filbet, Francis; Laurençot, Philippe; Perthame, Benoît
2005
Approximation of hyperbolic models for chemosensitive movement. Zbl 1141.35396
Filbet, Francis; Shu, Chi-Wang
2005
Accurate numerical methods for the collisional motion of (heated) granular flows. Zbl 1288.76056
Filbet, Francis; Pareschi, Lorenzo; Toscani, Giuseppe
2005
Analysis of the relativistic Vlasov-Maxwell model in an interval. Zbl 1087.35087
Filbet, Francis; Guo, Yan; Shu, Chi-Wang
2005
A conservative and entropic method for the Vlasov-Fokker-Planck-Landau equation. Zbl 1210.65152
Crouseilles, N.; Filbet, F.
2005
Numerical simulation of the Smoluchowski coagulation equation. Zbl 1086.65123
Filbet, Francis; Laurençot, Philippe
2004
Numerical approximation of collisional plasmas by high-order methods. Zbl 1076.76053
Crouseilles, Nicolas; Filbet, Francis
2004
Mass-conserving solutions and non-conservative approximation to the Smoluchowski coagulation equation. Zbl 1152.82315
Filbet, Francis; Laurençot, Philippe
2004
Accurate numerical methods for the Boltzmann equation. Zbl 1106.82037
Filbet, Francis; Russo, Giovanni
2004
Comparison of Eulerian Vlasov solvers. Zbl 1196.82108
Filbet, F.; Sonnendrücker, E.
2003
High order numerical methods for the space non-homogeneous Boltzmann equation. Zbl 1034.82052
Filbet, Francis; Russo, Giovanni
2003
Numerical approximation of the Lifshitz-Slyozov-Wagner equation. Zbl 1053.35085
Filbet, Francis; Laurençot, Philippe
2003
Global existence for the Vlasov-Darwin system in $$\mathbb R^3$$ for small initial data. Zbl 1024.35027
Benachour, Saïd; Filbet, Francis; Laurençot, Philippe; Sonnendrücker, Eric
2003
An adaptive numerical method for the Vlasov equation based on a multiresolution analysis. Zbl 1254.82035
Besse, N.; Filbet, F.; Gutnic, M.; Paun, I.; Sonnendrücker, E.
2003
Movie Communication: Numerical solution of the Fokker-Planck-Landau equation by spectral methods. Zbl 1081.82601
Filbet, Francis; Pareschi, Lorenzo
2003
Numerical methods for the Vlasov equation. Zbl 1254.82036
Filbet, F.; Sonnendrücker, E.
2003
A numerical method for the accurate solution of the Fokker-Planck-Landau equation in the nonhomogeneous case. Zbl 1003.82011
Filbet, Francis; Pareschi, Lorenzo
2002
Direct axisymmetric Vlasov simulations of space charge dominated beams. Zbl 1160.76406
Filbet, F.; Lemaire, J.-L.; Sonnendrücker, E.
2002
Conservative numerical schemes for the Vlasov equation. Zbl 0998.65138
Filbet, Francis; Sonnendrücker, Eric; Bertrand, Pierre
2001
Convergence of a finite volume scheme for the Vlasov–Poisson system. Zbl 1007.65067
Filbet, Francis
2001
Comparison of numerical schemes for Fokker-Planck-Landau equation. Zbl 1015.76061
Buet, Christophe; Cordier, Stéphane; Filbet, Francis
2001
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#### Cited by 926 Authors

 32 Filbet, Francis 27 Crouseilles, Nicolas 23 Sonnendrücker, Eric 22 Carrillo de la Plata, José Antonio 17 Pareschi, Lorenzo 16 Shu, Chi-Wang 15 Qiu, Jingmei 14 Dimarco, Giacomo 13 Bostan, Mihai 12 Martínez Gamba, Irene 12 Hu, Jingwei 12 Yun, Seok-Bae 11 Bellomo, Nicola 11 Christlieb, Andrew J. 11 Jin, Shi 10 Lemou, Mohammed 10 Vauchelet, Nicolas 9 Cancès, Clément 9 Chainais-Hillairet, Claire 9 Kumar, Jitendra 9 Wu, Lei 9 Xu, Kun 8 Bellouquid, Abdelghani 8 Calvez, Vincent 8 Cheng, Yingda 8 Degond, Pierre 8 Einkemmer, Lukas 8 Klar, Axel 8 Rey, Thomas 8 Xiong, Tao 7 Bertrand, Pierre 7 Boscarino, Sebastiano 7 Goudon, Thierry 7 Guo, Wei 7 Li, Qin 7 Mehrenberger, Michel 7 Puppo, Gabriella 7 Wang, Li 7 Zhang, Yonghao 6 Bertozzi, Andrea Louise 6 Besse, Nicolas 6 Bessemoulin-Chatard, Marianne 6 Bürger, Raimund 6 Chertock, Alina E. 6 Latu, Guillaume 6 Laurençot, Philippe 6 Loubère, Raphaël 6 Mieussens, Luc 6 Mulet, Pep 6 Perthame, Benoît 6 Schmidtchen, Markus 5 Cai, Zhenning 5 Chartier, Philippe 5 Eliasson, Bengt 5 Gosse, Laurent 5 James, François 5 Jüngel, Ansgar 5 Kim, Philsu 5 Kurganov, Alexander 5 Lu, Jianfeng 5 Méhats, Florian 5 Motsch, Sébastien 5 Mouhot, Clément 5 Negulescu, Claudia 5 Nieto, Juanjo 5 Pirner, Marlies 5 Singh, Mehakpreet 5 Soler, Juan S. 5 Zhou, Zhennan 4 Benzakour Amine, M. 4 Cai, Xiaofeng 4 Campos Pinto, Martin 4 Crestetto, Anaïs 4 Deluzet, Fabrice 4 Delzanno, Gian Luca 4 Eftimie, Raluca 4 Epshteyn, Yekaterina 4 Giri, Ankik Kumar 4 Guo, Ruihan 4 Hauck, Cory D. 4 Herda, Maxime 4 Herty, Michael Matthias 4 Kim, Dojin 4 Lafitte, Pauline 4 Lagoutière, Frédéric 4 Liu, Jianguo 4 Liu, Liu 4 Manzini, Gianmarco 4 Niethammer, Barbara 4 Quenjel, EL Houssaine 4 Reese, Jason M. 4 Rodrigues, Luis Miguel 4 Rodríguez-Bellido, Maria Angeles 4 Saha, Jitraj 4 Samaey, Giovanni 4 Schmeiser, Christian 4 Surulescu, Christina 4 Tran, Minh-Binh 4 Velázquez, Juan J. L. 4 Villada, Luis Miguel ...and 826 more Authors
all top 5

#### Cited in 121 Serials

 165 Journal of Computational Physics 47 Journal of Scientific Computing 37 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 32 Kinetic and Related Models 27 SIAM Journal on Scientific Computing 25 SIAM Journal on Numerical Analysis 18 Numerische Mathematik 15 Computers and Fluids 15 Multiscale Modeling & Simulation 15 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 14 Computers & Mathematics with Applications 13 Mathematics of Computation 12 Applied Mathematics and Computation 10 Journal of Statistical Physics 10 Journal of Computational and Applied Mathematics 10 Journal of Differential Equations 9 Journal of Mathematical Biology 9 Transport Theory and Statistical Physics 8 Computer Physics Communications 8 Mathematical and Computer Modelling 8 Communications in Nonlinear Science and Numerical Simulation 7 Applied Numerical Mathematics 7 Numerical Methods for Partial Differential Equations 7 SIAM Journal on Mathematical Analysis 6 Journal of Mathematical Physics 6 Mathematics and Computers in Simulation 6 SIAM Journal on Applied Mathematics 5 Journal of Mathematical Analysis and Applications 5 Acta Applicandae Mathematicae 5 Networks and Heterogeneous Media 4 Communications in Mathematical Physics 4 International Journal of Applied Mathematics and Computer Science 3 Quarterly of Applied Mathematics 3 Physica D 3 Communications in Partial Differential Equations 3 Discrete and Continuous Dynamical Systems 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 3 European Journal of Mechanics. B. Fluids 3 Nonlinear Analysis. Real World Applications 3 Discrete and Continuous Dynamical Systems. Series S 3 Communications in Applied and Industrial Mathematics 3 SMAI Journal of Computational Mathematics 2 Computer Methods in Applied Mechanics and Engineering 2 Journal of Fluid Mechanics 2 Mathematical Methods in the Applied Sciences 2 Nonlinearity 2 BIT 2 Calcolo 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Numerical Algorithms 2 Applied Mathematical Modelling 2 International Journal of Computer Mathematics 2 Journal of Nonlinear Science 2 Physics of Fluids 2 Advances in Computational Mathematics 2 Discrete and Continuous Dynamical Systems. Series B 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Mathematical Biosciences and Engineering 2 Acta Mechanica Sinica 2 International Journal of Advances in Engineering Sciences and Applied Mathematics 2 Journal de l’École Polytechnique – Mathématiques 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 2 Electronic Research Archive 1 Archive for Rational Mechanics and Analysis 1 International Journal of Control 1 Journal of Applied Mathematics and Mechanics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Bulletin of Mathematical Biology 1 Acta Mathematica 1 Inventiones Mathematicae 1 Manuscripta Mathematica 1 Memoirs of the American Mathematical Society 1 Monatshefte für Mathematik 1 Transactions of the American Mathematical Society 1 Bulletin of the Korean Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Asymptotic Analysis 1 Journal of Global Optimization 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Stochastic Processes and their Applications 1 Bulletin of the American Mathematical Society. New Series 1 Indagationes Mathematicae. New Series 1 Continuum Mechanics and Thermodynamics 1 Calculus of Variations and Partial Differential Equations 1 St. Petersburg Mathematical Journal 1 Computational and Applied Mathematics 1 NoDEA. Nonlinear Differential Equations and Applications 1 Monte Carlo Methods and Applications 1 Abstract and Applied Analysis 1 Chaos 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Interfaces and Free Boundaries 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Annales Henri Poincaré 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Foundations of Computational Mathematics 1 Computational Methods in Applied Mathematics 1 Advanced Nonlinear Studies 1 Journal of Numerical Mathematics ...and 21 more Serials
all top 5

#### Cited in 37 Fields

 436 Numerical analysis (65-XX) 424 Partial differential equations (35-XX) 272 Statistical mechanics, structure of matter (82-XX) 266 Fluid mechanics (76-XX) 139 Biology and other natural sciences (92-XX) 41 Integral equations (45-XX) 35 Optics, electromagnetic theory (78-XX) 13 Probability theory and stochastic processes (60-XX) 11 Ordinary differential equations (34-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 8 Mechanics of deformable solids (74-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Operations research, mathematical programming (90-XX) 7 Systems theory; control (93-XX) 6 Operator theory (47-XX) 6 Mechanics of particles and systems (70-XX) 5 Astronomy and astrophysics (85-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Approximations and expansions (41-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Special functions (33-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 2 Relativity and gravitational theory (83-XX) 2 Geophysics (86-XX) 1 Combinatorics (05-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Quantum theory (81-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX)

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