Edit Profile (opens in new tab) Goudon, Thierry Co-Author Distance Author ID: goudon.thierry Published as: Goudon, Thierry; Goudon, T.; Goudon, Th. more...less External Links: MGP · Wikidata · IdRef · theses.fr Documents Indexed: 138 Publications since 1997, including 3 Books and 3 Additional arXiv Preprints 6 Contributions as Editor Co-Authors: 119 Co-Authors with 130 Joint Publications 2,882 Co-Co-Authors all top 5 Co-Authors 14 single-authored 9 Lafitte, Pauline 9 Minjeaud, Sebastian 8 Coulombel, Jean-François 8 Krell, Stella 8 Poupaud, Frédéric 8 Vasseur, Alexis F. 7 Calgaro, Caterina 7 Lagoutière, Frédéric 6 Besse, Christophe 6 Carrillo de la Plata, José Antonio 6 Creusé, Emmanuel 5 Berthelin, Florent 5 Collet, Jean-François 5 Ribot, Magali 4 Amorim, Paulo 4 Degond, Pierre 4 Dudon, Jean-Paul 4 Lin, Chunjin 4 Lissoni, Giulia 4 Llobell, Julie 4 Mellet, Antoine 4 Tine, Léon Matar 4 Vavasseur, Arthur 4 Vivion, Léo 3 Barré, Julien 3 Bostan, Mihai 3 Castella, François 3 Jin, Shi 3 Lacroix-Violet, Ingrid 3 Parisot, Martin 3 Polizzi, Bastien 3 Soler, Juan S. 3 Yan, Bokai 2 Alonso, Ricardo J. 2 Atsou, Kevin 2 Borghol, Saja 2 Crisan, Dan O. 2 Devys, Anne 2 Golse, François 2 Junca, Stéphane 2 Labarthe, Simon 2 Laroche, Beatrice 2 Liu, Jianguo 2 Nieto, Juanjo 2 Nodari, Simona Rota 2 Peruani, Fernando 2 Rousset, Mathias 2 Saad, Mazen 2 Sánchez, Oscar 2 Sonnendrücker, Eric 2 Vauchelet, Nicolas 1 Al Taki, Bilal 1 Anjuère, Fabienne 1 Ayi, Nathalie 1 Bernard-Champmartin, Aude 1 Berthon, Christophe 1 Blossey, Ralf 1 Bodart, Jean-François 1 Bonilla, Luis Lopez 1 Bonnaillie-Noël, Virginie 1 Boudin, Laurent 1 Boutin, Benjamin 1 Braeunig, Jean-Philippe 1 Braud, Véronique M. 1 Buet, Christophe 1 Cáceres, María-José 1 Caputo, M. Cristina 1 Casanova, Jean-Jérôme 1 Chane-Kane, Emile 1 Charles, Frédérique 1 Chiron, David 1 Cordier, Stéphane 1 Després, Bruno 1 Doumic, Marie 1 El Bouti, Tamara 1 Fochesato, Christophe 1 Fornet, Bruno 1 Frank, Martin 1 Martínez Gamba, Irene 1 Ghosn, Charbel 1 Gilleron, Jérôme 1 Gloria, Antoine 1 Godillon-Lafitte, Pauline 1 Gómez Nava, Luis 1 Goubet, Olivier 1 Gutnic, Michaël 1 Hariz, Sara 1 He, Lingbing 1 Jabin, Pierre-Emmanuel 1 Jüngel, Ansgar 1 Lepoutre, Thomas 1 Lohrengel, Stephanie 1 Mascia, Corrado 1 Masmoudi, Nader 1 Mauroy, Benjamin 1 Merlet, Benoît 1 Miljanović, Vera 1 Millet, Pascal 1 Monasse, Laurent 1 Morel, Jim E. ...and 19 more Co-Authors all top 5 Serials 6 Journal of Computational Physics 6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 5 SIAM Journal on Applied Mathematics 4 Journal of Statistical Physics 4 Nonlinearity 4 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 4 Communications in Mathematical Sciences 4 Kinetic and Related Models 3 Journal of Differential Equations 3 Physica D 3 Journal of Scientific Computing 3 Communications in Partial Differential Equations 3 SIAM Journal on Mathematical Analysis 3 Multiscale Modeling & Simulation 3 Communications in Computational Physics 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 2 IMA Journal of Numerical Analysis 2 Journal of Mathematical Biology 2 Journal of Mathematical Physics 2 Transport Theory and Statistical Physics 2 Indiana University Mathematics Journal 2 Transactions of the American Mathematical Society 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Asymptotic Analysis 2 Journal of Hyperbolic Differential Equations 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Analysis & PDE 2 Journal of Theoretical Biology 2 Journal de l’École Polytechnique – Mathématiques 2 Références Sciences 1 Archive for Rational Mechanics and Analysis 1 Computers and Fluids 1 Communications in Mathematical Physics 1 International Journal for Numerical Methods in Fluids 1 Journal of Mathematical Analysis and Applications 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin de la Société Mathématique de France 1 Mathematics and Computers in Simulation 1 Monatshefte für Mathematik 1 Numerische Mathematik 1 SIAM Journal on Numerical Analysis 1 Chinese Annals of Mathematics. Series B 1 Acta Applicandae Mathematicae 1 Revista Matemática Iberoamericana 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 European Journal of Mechanics. B. Fluids 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Comptes Rendus de l’Académie des Sciences. Série I 1 SIAM Journal on Scientific Computing 1 Bulletin des Sciences Mathématiques 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Revista Matemática Complutense 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 AMRX. Applied Mathematics Research eXpress 1 Panoramas et Synthèses 1 IRMA Lectures in Mathematics and Theoretical Physics 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Networks and Heterogeneous Media 1 Matapli 1 Advances in Applied Mathematics and Mechanics 1 Advances in Mathematical Fluid Mechanics 1 Tunisian Journal of Mathematics 1 Mathematics and Statistics Series all top 5 Fields 101 Partial differential equations (35-XX) 63 Statistical mechanics, structure of matter (82-XX) 53 Fluid mechanics (76-XX) 40 Numerical analysis (65-XX) 16 Biology and other natural sciences (92-XX) 10 Integral equations (45-XX) 10 Mechanics of deformable solids (74-XX) 9 General and overarching topics; collections (00-XX) 8 Mechanics of particles and systems (70-XX) 8 Optics, electromagnetic theory (78-XX) 8 Quantum theory (81-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Astronomy and astrophysics (85-XX) 5 Probability theory and stochastic processes (60-XX) 4 Ordinary differential equations (34-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 110 Publications have been cited 1,253 times in 806 Documents Cited by ▼ Year ▼ Hydrodynamic limit for the Vlasov-Navier-Stokes equations. I: Light particles regime. II: Fine particles regime. Zbl 1085.35117 Goudon, Thierry; Jabin, Pierre-Emmanuel; Vasseur, Alexis 110 2004 Stability and asymptotic analysis of a fluid-particle interaction model. Zbl 1105.35088 Carrillo, José A.; Goudon, Thierry 87 2006 Shock profiles for non-equilibrium radiating gases. Zbl 1096.35086 Lin, Chunjin; Coulombel, Jean-François; Goudon, Thierry 60 2006 On Boltzmann equations and Fokker-Planck asymptotics: Influence of grazing collisions. Zbl 0918.35136 Goudon, T. 55 1997 The Navier-Stokes-Vlasov-Fokker-Planck system near equilibrium. Zbl 1217.35142 Goudon, Thierry; He, Lingbing; Moussa, Ayman; Zhang, Ping 53 2010 Diffusion limit for non homogeneous and non-micro-reversible processes. Zbl 0971.82035 Degond, P.; Goudon, T.; Poupaud, F. 47 2000 Regularity analysis for systems of reaction-diffusion equations. Zbl 1191.35202 Goudon, Thierry; Vasseur, Alexis 34 2010 The strong relaxation limit of the multidimensional isothermal Euler equations. Zbl 1170.35477 Coulombel, Jean-François; Goudon, Thierry 34 2007 Multidimensional high-field limit of the electrostatic Vlasov-Poisson-Fokker-Planck system. Zbl 1072.35176 Goudon, T.; Nieto, J.; Poupaud, F.; Soler, J. 34 2005 An hybrid finite volume-finite element method for variable density incompressible flows. Zbl 1137.76037 Calgaro, Caterina; Creusé, Emmanuel; Goudon, Thierry 30 2008 A coupled model for radiative transfer: Doppler effects, equilibrium, and nonequilibrium diffusion asymptotics. Zbl 1236.85006 Godillon-Lafitte, Pauline; Goudon, Thierry 30 2005 Approximation by homogenization and diffusion of kinetic equations. Zbl 0988.35023 Goudon, Thierry; Poupaud, Frederic 27 2001 Equilibration rate for the linear inhomogeneous relaxation-time Boltzmann equation for charged particles. Zbl 1045.35094 Cáceres, Maria J.; Carrillo, José A.; Goudon, Thierry 27 2003 Hydrodynamic limit for the Vlasov-Poisson-Fokker-Planck system: analysis of the two-dimensional case. Zbl 1074.82021 Goudon, Thierry 26 2005 Diffusion approximation and entropy-based moment closure for kinetic equations. Zbl 1091.35038 Coulombel, Jean-François; Golse, François; Goudon, Thierry 22 2005 Solutions of the 4-species quadratic reaction-diffusion system are bounded and \(C^\infty\)-smooth, in any space dimension. Zbl 1423.35164 Caputo, M. Cristina; Goudon, Thierry; Vasseur, Alexis F. 22 2019 Asymptotic stability of shock profiles in radiative hydrodynamics. Zbl 1387.35497 Lin, Chunjin; Coulombel, Jean-François; Goudon, Thierry 21 2007 Simulation of fluid and particles flows: asymptotic preserving schemes for bubbling and flowing regimes. Zbl 1141.76050 Carrillo, José-Antonio; Goudon, Thierry; Lafitte, Pauline 21 2008 Numerical schemes of diffusion asymptotics and moment closures for kinetic equations. Zbl 1203.65015 Carrillo, J. A.; Goudon, T.; Lafitte, P.; Vecil, F. 18 2008 The Becker-Döring system and its Lifshitz-Slyozov limit. Zbl 1025.45005 Collet, Jean-François; Goudon, Thierry; Poupaud, Frédéric; Vasseur, Alexis 18 2002 Scaling limit of a discrete prion dynamics model. Zbl 1196.34012 Doumic, Marie; Goudon, Thierry; Lepoutre, Thomas 16 2009 On solutions of the Lifshitz-Slyozov model. Zbl 0957.35127 Collet, Jean-François; Goudon, Thierry 15 2000 Self-organized populations interacting under pursuit-evasion dynamics. Zbl 1365.92144 Goudon, Thierry; Nkonga, Boniface; Rascle, Michel; Ribot, Magali 15 2015 Homogenization and diffusion asymptotics of the linear Boltzmann equation. Zbl 1070.35032 Goudon, Thierry; Mellet, Antoine 14 2003 Fourier-based distances and Berry-Esseen like inequalities for smooth densities. Zbl 0992.60027 Goudon, Thierry; Junca, Stéphane; Toscani, Giuseppe 13 2002 Analysis of kinetic and macroscopic models of pursuit-evasion dynamics. Zbl 1354.92061 Goudon, Thierry; Urrutia, Luis 13 2016 \(L^{\infty }\)-stability of vertex-based MUSCL finite volume schemes on unstructured grids: Simulation of incompressible flows with high density ratios. Zbl 1425.76157 Calgaro, Caterina; Chane-Kane, Emile; Creusé, Emmanuel; Goudon, Thierry 13 2010 Zero-mass-electrons limits in hydrodynamic models for plasmas. Zbl 0959.76096 Goudon, T.; Jüngel, A.; Peng, Y.-J. 11 1999 Homogenization of transport equations: weak mean field approximation. Zbl 1077.35019 Goudon, Thierry; Poupaud, Frédéric 11 2004 Analysis of the \(M 1\) model: well-posedness and diffusion asymptotics. Zbl 1307.35183 Goudon, Thierry; Lin, Chunjin 11 2013 On a generalized Boltzmann equation for non-classical particle transport. Zbl 1219.35166 Frank, Martin; Goudon, Thierry 10 2010 A model describing the growth and the size distribution of multiple metastatic tumors. Zbl 1195.35054 Devys, Anne; Goudon, Thierry; Lafitte, Pauline 10 2009 Asymptotic problems for a kinetic model of two-phase flow. Zbl 0992.35017 Goudon, T. 10 2001 Particles interacting with a vibrating medium: existence of solutions and convergence to the Vlasov-Poisson system. Zbl 1357.82063 De Bièvre, Stephan; Goudon, Thierry; Vavasseur, Arthur 10 2016 Asymptotic-preserving schemes for kinetic-fluid modeling of disperse two-phase flows. Zbl 1349.82046 Goudon, Thierry; Jin, Shi; Liu, Jian-Guo; Yan, Bokai 10 2013 On the homogeneous Boltzmann equation and its relation to the Landau-Fokker-Planck equation: Influence of grazing collisions. (Sur l’équation de Boltzmann homogène et sa relation avec l’équation de Landau-Fokker-Planck: Influence des collisions rasantes.) Zbl 0882.76079 Goudon, Thierry 9 1997 Generalized invariant sets for the Boltzmann equation. Zbl 0878.35090 Goudon, T. 9 1997 Numerical homogenization of a nonlinearly coupled elliptic-parabolic system, reduced basis method, and application to nuclear waste storage. Zbl 1330.35027 Gloria, Antoine; Goudon, Thierry; Krell, Stella 9 2013 A numerical study on large-time asymptotics of the Lifshitz–Slyozov system. Zbl 1097.35102 Carrillo, J. A.; Goudon, T. 8 2004 Global existence of the equilibrium diffusion model in radiative hydrodynamics. Zbl 1365.76275 Lin, Chunjin; Goudon, Thierry 8 2011 Damping of particles interacting with a vibrating medium. Zbl 1386.82062 Alonso, Ricardo; Goudon, Thierry; Vavasseur, Arthur 8 2017 Mean field limit for particles interacting with a vibrating medium. Zbl 1355.82043 Goudon, Thierry; Vavasseur, Arthur 7 2016 On fluid limit for the semiconductors Boltzmann equation. Zbl 1013.82024 Goudon, Thierry; Mellet, Antoine 7 2003 Low field regime for the relativistic Vlasov-Maxwell-Fokker-Planck system: the one and one half dimensional case. Zbl 1185.35287 Bostan, Mihai; Goudon, Thierry 7 2008 Kinetic schemes on staggered grids for barotropic Euler models: entropy-stability analysis. Zbl 1329.76198 Berthelin, Florent; Goudon, Thierry; Minjeaud, Sebastian 7 2015 Some remarks on large-time asymptotic of the Lifshitz-Slyozov equations. Zbl 1067.82046 Collet, Jean-François; Goudon, Thierry; Vasseur, Alexis 7 2002 Mathematical models and numerical methods for radiative transfer. Collection of papers from the summer school, Nice, France, July 31 to August 4, 2007. Zbl 1188.85001 6 2009 Homogenization of transport equations: a simple PDE approach to the Kubo formula. Zbl 1108.60060 Goudon, Thierry; Poupaud, Frédéric 6 2007 On the modeling of the transport of particles in turbulent flows. Zbl 1079.76037 Goudon, Thierry; Poupaud, Frédéric 6 2004 On a Fokker-Planck equation arising in population dynamics. Zbl 0921.45007 Goudon, Thierry; Saad, Mazen 6 1998 Diffusion approximation in heterogeneous media. Zbl 1009.35010 Goudon, Thierry; Mellet, Antoine 6 2001 Fluid-particles flows: a thin spray model with energy exchanges. Zbl 1176.76132 Boudin, Laurent; Boutin, Benjamin; Fornet, Bruno; Goudon, Thierry; Lafitte, Pauline; Lagoutière, Frédéric; Merlet, Benoît 6 2009 DDFV method for Navier-Stokes problem with outflow boundary conditions. Zbl 1411.76085 Goudon, Thierry; Krell, Stella; Lissoni, Giulia 6 2019 Hydrodynamic regimes, Knudsen layer, numerical schemes: definition of boundary fluxes. Zbl 1262.65111 Besse, Christophe; Borghol, Saja; Goudon, Thierry; Lacroix-Violet, Ingrid; Dudon, Jean-Paul 6 2011 Stochastic acceleration in an inhomogeneous time random force field. Zbl 1196.70014 Goudon, Thierry; Rousset, Mathias 5 2009 Diffusion dynamics of classical systems driven by an oscillatory force. Zbl 1134.82033 Castella, F.; Degond, P.; Goudon, Th. 5 2006 Analysis of a chemotaxis system modeling ant foraging. Zbl 1343.92557 Alonso, Ricardo; Amorim, Paulo; Goudon, Thierry 5 2016 High-electric-field limit for the Vlasov-Maxwell-Fokker-Planck system. Zbl 1157.35486 Bostan, Mihai; Goudon, Thierry 5 2008 Integration. Lebesque interal and introduction to functional analysis. (Intégration. Intégrale de Lebesgue et introduction à l’analyse fonctionnelle.) Zbl 1327.28002 Goudon, Thierry 5 2011 Simulations of the Lifshitz-Slyozov equations: the role of coagulation terms in the asymptotic behavior. Zbl 1267.82076 Goudon, Thierry; Lagoutière, Frédéric; Tine, Léon Matar 5 2013 Efficient numerical calculation of drift and diffusion coefficients in the diffusion approximation of kinetic equations. Zbl 1433.82009 Bonnaillie-Noël, V.; Carrillo, J. A.; Goudon, T.; Pavliotis, G. A. 5 2016 Simulation of fluid-particles flows: heavy particles, flowing regime, and asymptotic-preserving schemes. Zbl 1278.35191 Goudon, Thierry; Jin, Shi; Yan, Bokai 5 2012 Numerical investigation of Landau damping in dynamical Lorentz gases. Zbl 1487.65149 Goudon, Thierry; Vivion, Léo 5 2020 Modeling and simulation of mixture flows: application to powder-snow avalanches. Zbl 1390.76403 Calgaro, Caterina; Creusé, Emmanuel; Goudon, Thierry 5 2015 Asymptotic-preserving schemes for kinetic-fluid modeling of disperse two-phase flows with variable fluid density. Zbl 1455.65130 Goudon, Thierry; Jin, Shi; Liu, Jian-guo; Yan, Bokai 5 2014 Entropy-based moment closure for kinetic equations: Riemann problem and invariant regions. Zbl 1121.35075 Coulombel, Jean-François; Goudon, Thierry 4 2006 Equilibrium solutions for the Pauli operator. (Solutions d’équilibre pour l’opérateur de Pauli.) Zbl 0957.35037 Goudon, Thierry 4 2000 Stability analysis of a Vlasov-wave system describing particles interacting with their environment. Zbl 1390.82052 De Bièvre, Stephan; Goudon, Thierry; Vavasseur, Arthur 4 2018 Lifshitz-Slyozov equations: The model with encounters. Zbl 0982.45005 Collet, J.-F.; Goudon, T. 4 1999 Vanishing pressure in gas dynamics equations. Zbl 0970.35117 Goudon, T.; Junca, S. 4 2000 Low-field limit for a nonlinear discrete drift-diffusion model arising in semiconductor superlattices theory. Zbl 1059.82044 Goudon, Thierry; Sánchez, Oscar; Soler, Juan; Bonilla, Luis L. 4 2004 Multifluid flows: a kinetic approach. Zbl 06555598 Berthelin, Florent; Goudon, Thierry; Minjeaud, Sebastian 4 2016 On a model for mixture flows: derivation, dissipation and stability properties. Zbl 1339.35319 Goudon, Thierry; Vasseur, Alexis 4 2016 Analysis of a semidiscrete version of the Wigner equation. Zbl 1037.65094 Goudon, Thierry 4 2002 Fokker-Planck approach of Ostwald ripening: simulation of a modified Lifshitz-Slyozov-Wagner system with a diffusive correction. Zbl 1447.82024 Goudon, Thierry; Monasse, Laurent 4 2020 Positivity-preserving schemes for Euler equations: sharp and practical CFL conditions. Zbl 1284.65110 Calgaro, C.; Creusé, E.; Goudon, T.; Penel, Y. 4 2013 Signal propagation of the MAPK cascade in Xenopus oocytes: role of bistability and ultrasensitivity for a mixed problem. Zbl 1284.92032 Blossey, Ralf; Bodart, Jean-François; Devys, Anne; Goudon, Thierry; Lafitte, Pauline 3 2012 Discrete version of the SHE asymptotics: multigroup neutron transport equations. Zbl 1060.82042 Goudon, Thierry; Mellet, Antoine 3 2002 Large time dynamics of a classical system subject to a fast varying force. Zbl 1127.37052 Castella, F.; Degond, P.; Goudon, Th. 3 2007 Consistency analysis of a 1D finite volume scheme for barotropic Euler models. Zbl 1394.76073 Berthelin, Florent; Goudon, Thierry; Minjeaud, Sebastian 3 2014 Derivation of a non-local model for diffusion asymptotics – application to radiative transfer problems. Zbl 1364.82052 Besse, C.; Goudon, T. 3 2010 A staggered scheme for the Euler equations. Zbl 1366.76060 Goudon, Thierry; Llobell, Julie; Minjeaud, Sebastian 3 2017 An ant navigation model based on Weber’s law. Zbl 1409.92274 Amorim, Paulo; Goudon, Thierry; Peruani, Fernando 3 2019 A size and space structured model describing interactions of tumor cells with immune cells reveals cancer persistent equilibrium states in tumorigenesis. Zbl 1430.92022 Atsou, Kevin; Anjuère, Fabienne; Braud, Véronique M.; Goudon, Thierry 3 2020 Landau damping in dynamical Lorentz gases. (Amortissement Landau pour des gaz de Lorentz inélastiques.) Zbl 1484.82054 Goudon, Thierry; Vivion, Léo 3 2021 Asymptotic problems for wave-particle interactions: quantum and classical models. Zbl 1202.35182 Castella, François; Degond, Pierre; Goudon, Thierry 2 2007 On the Shockley-Read-Hall model: generation-recombination in semiconductors. Zbl 1146.82007 Goudon, Thierry; Miljanović, Vera; Schmeiser, Christian 2 2007 The Lifschitz-Slyozov equation with space-diffusion of monomers. Zbl 1257.82073 Goudon, Thierry; Lagoutière, Frédéric; Tine, Léon M. 2 2012 On the Spitzer-Härm regime and nonlocal approximations: modeling, analysis, and numerical simulations. Zbl 1229.35301 Goudon, Thierry; Parisot, Martin 2 2011 Mathematics for modeling and scientific computing. Zbl 1351.00001 Goudon, Thierry 2 2016 A semi-Lagrangian approach for dilute non-collisional fluid-particle flows. Zbl 1388.65074 Bernard-Champmartin, Aude; Braeunig, Jean-Philippe; Fochesato, Christophe; Goudon, Thierry 2 2016 Numerical analysis of the DDFV method for the Stokes problem with mixed Neumann/Dirichlet boundary conditions. Zbl 1391.76411 Goudon, Thierry; Krell, Stella; Lissoni, Giulia 2 2017 Regularity of velocity averages for transport equations on random discrete velocity grids. Zbl 1370.35069 Ayi, Nathalie; Goudon, Thierry 2 2017 A non-local scalar conservation law describing navigation processes. Zbl 1479.76126 Amorim, Paulo; Berthelin, Florent; Goudon, Thierry 2 2020 Numerical investigation of solitary wave stability for quantum dissipative systems. Zbl 1470.37110 Goudon, T.; Vivion, L. 2 2021 Vanishing viscosity regimes and nonstandard shock relations for semiconductor superlattices models. Zbl 1213.35354 Goudon, T.; Nieto, J.; Sánchez, O.; Soler, J. 1 2011 Non-local macroscopic models based on Gaussian closures for the Spizer-Härm regime. Zbl 1233.82042 Goudon, Thierry; Parisot, Martin 1 2011 A DDFV scheme for incompressible Navier-Stokes equations with variable density. Zbl 1426.76370 Goudon, Thierry; Krell, Stella 1 2014 Asymptotic problems and numerical schemes for traffic flows with unilateral constraints describing the formation of jams. Zbl 1379.90005 Berthelin, Florent; Goudon, Thierry; Polizzi, Bastien; Ribot, Magali 1 2017 A mixture model for the dynamic of the gut mucus layer. Zbl 1456.76166 El Bouti, Tamara; Goudon, Thierry; Labarthe, Simon; Laroche, Béatrice; Polizzi, Bastien; Rachah, Amira; Ribot, Magali; Tesson, Rémi 1 2016 Landau damping in dynamical Lorentz gases. (Amortissement Landau pour des gaz de Lorentz inélastiques.) Zbl 1484.82054 Goudon, Thierry; Vivion, Léo 3 2021 Numerical investigation of solitary wave stability for quantum dissipative systems. Zbl 1470.37110 Goudon, T.; Vivion, L. 2 2021 Non-overlapping Schwarz algorithms for the incompressible Navier-Stokes equations with DDFV discretizations. Zbl 1491.65081 Goudon, Thierry; Krell, Stella; Lissoni, Giulia 1 2021 Numerical investigation of Landau damping in dynamical Lorentz gases. Zbl 1487.65149 Goudon, Thierry; Vivion, Léo 5 2020 Fokker-Planck approach of Ostwald ripening: simulation of a modified Lifshitz-Slyozov-Wagner system with a diffusive correction. Zbl 1447.82024 Goudon, Thierry; Monasse, Laurent 4 2020 A size and space structured model describing interactions of tumor cells with immune cells reveals cancer persistent equilibrium states in tumorigenesis. Zbl 1430.92022 Atsou, Kevin; Anjuère, Fabienne; Braud, Véronique M.; Goudon, Thierry 3 2020 A non-local scalar conservation law describing navigation processes. Zbl 1479.76126 Amorim, Paulo; Berthelin, Florent; Goudon, Thierry 2 2020 An asymptotic preserving scheme on staggered grids for the barotropic Euler system in low Mach regimes. Zbl 07771429 Goudon, Thierry; Llobell, Julie; Minjeaud, Sebastian 1 2020 Modeling and analysis of adipocytes dynamic with a differentiation process. Zbl 1447.92118 Gilleron, Jérôme; Goudon, Thierry; Lagoutière, Frédéric; Martin, Hugo; Mauroy, Benjamin; Millet, Pascal; Ribot, Magali; Vaghi, Cristina 1 2020 Convergence study of a DDFV scheme for the Navier-Stokes equations arising in the domain decomposition setting. Zbl 1454.65109 Goudon, Thierry; Krell, Stella; Lissoni, Giulia 1 2020 Solutions of the 4-species quadratic reaction-diffusion system are bounded and \(C^\infty\)-smooth, in any space dimension. Zbl 1423.35164 Caputo, M. Cristina; Goudon, Thierry; Vasseur, Alexis F. 22 2019 DDFV method for Navier-Stokes problem with outflow boundary conditions. Zbl 1411.76085 Goudon, Thierry; Krell, Stella; Lissoni, Giulia 6 2019 An ant navigation model based on Weber’s law. Zbl 1409.92274 Amorim, Paulo; Goudon, Thierry; Peruani, Fernando 3 2019 A mathematical model to investigate the key drivers of the biogeography of the colon microbiota. Zbl 1406.92670 Labarthe, Simon; Polizzi, Bastien; Phan, Thuy; Goudon, Thierry; Ribot, Magali; Laroche, Beatrice 1 2019 Stability analysis of a Vlasov-wave system describing particles interacting with their environment. Zbl 1390.82052 De Bièvre, Stephan; Goudon, Thierry; Vavasseur, Arthur 4 2018 Damping of particles interacting with a vibrating medium. Zbl 1386.82062 Alonso, Ricardo; Goudon, Thierry; Vavasseur, Arthur 8 2017 A staggered scheme for the Euler equations. Zbl 1366.76060 Goudon, Thierry; Llobell, Julie; Minjeaud, Sebastian 3 2017 Numerical analysis of the DDFV method for the Stokes problem with mixed Neumann/Dirichlet boundary conditions. Zbl 1391.76411 Goudon, Thierry; Krell, Stella; Lissoni, Giulia 2 2017 Regularity of velocity averages for transport equations on random discrete velocity grids. Zbl 1370.35069 Ayi, Nathalie; Goudon, Thierry 2 2017 Asymptotic problems and numerical schemes for traffic flows with unilateral constraints describing the formation of jams. Zbl 1379.90005 Berthelin, Florent; Goudon, Thierry; Polizzi, Bastien; Ribot, Magali 1 2017 Simulations of non homogeneous viscous flows with incompressibility constraints. Zbl 07313823 Calgaro, Caterina; Creusé, Emmanuel; Goudon, Thierry; Krell, Stella 1 2017 Analysis of kinetic and macroscopic models of pursuit-evasion dynamics. Zbl 1354.92061 Goudon, Thierry; Urrutia, Luis 13 2016 Particles interacting with a vibrating medium: existence of solutions and convergence to the Vlasov-Poisson system. Zbl 1357.82063 De Bièvre, Stephan; Goudon, Thierry; Vavasseur, Arthur 10 2016 Mean field limit for particles interacting with a vibrating medium. Zbl 1355.82043 Goudon, Thierry; Vavasseur, Arthur 7 2016 Analysis of a chemotaxis system modeling ant foraging. Zbl 1343.92557 Alonso, Ricardo; Amorim, Paulo; Goudon, Thierry 5 2016 Efficient numerical calculation of drift and diffusion coefficients in the diffusion approximation of kinetic equations. Zbl 1433.82009 Bonnaillie-Noël, V.; Carrillo, J. A.; Goudon, T.; Pavliotis, G. A. 5 2016 Multifluid flows: a kinetic approach. Zbl 06555598 Berthelin, Florent; Goudon, Thierry; Minjeaud, Sebastian 4 2016 On a model for mixture flows: derivation, dissipation and stability properties. Zbl 1339.35319 Goudon, Thierry; Vasseur, Alexis 4 2016 Mathematics for modeling and scientific computing. Zbl 1351.00001 Goudon, Thierry 2 2016 A semi-Lagrangian approach for dilute non-collisional fluid-particle flows. Zbl 1388.65074 Bernard-Champmartin, Aude; Braeunig, Jean-Philippe; Fochesato, Christophe; Goudon, Thierry 2 2016 A mixture model for the dynamic of the gut mucus layer. Zbl 1456.76166 El Bouti, Tamara; Goudon, Thierry; Labarthe, Simon; Laroche, Béatrice; Polizzi, Bastien; Rachah, Amira; Ribot, Magali; Tesson, Rémi 1 2016 Self-organized populations interacting under pursuit-evasion dynamics. Zbl 1365.92144 Goudon, Thierry; Nkonga, Boniface; Rascle, Michel; Ribot, Magali 15 2015 Kinetic schemes on staggered grids for barotropic Euler models: entropy-stability analysis. Zbl 1329.76198 Berthelin, Florent; Goudon, Thierry; Minjeaud, Sebastian 7 2015 Modeling and simulation of mixture flows: application to powder-snow avalanches. Zbl 1390.76403 Calgaro, Caterina; Creusé, Emmanuel; Goudon, Thierry 5 2015 Asymptotic-preserving schemes for kinetic-fluid modeling of disperse two-phase flows with variable fluid density. Zbl 1455.65130 Goudon, Thierry; Jin, Shi; Liu, Jian-guo; Yan, Bokai 5 2014 Consistency analysis of a 1D finite volume scheme for barotropic Euler models. Zbl 1394.76073 Berthelin, Florent; Goudon, Thierry; Minjeaud, Sebastian 3 2014 A DDFV scheme for incompressible Navier-Stokes equations with variable density. Zbl 1426.76370 Goudon, Thierry; Krell, Stella 1 2014 Analysis of the \(M 1\) model: well-posedness and diffusion asymptotics. Zbl 1307.35183 Goudon, Thierry; Lin, Chunjin 11 2013 Asymptotic-preserving schemes for kinetic-fluid modeling of disperse two-phase flows. Zbl 1349.82046 Goudon, Thierry; Jin, Shi; Liu, Jian-Guo; Yan, Bokai 10 2013 Numerical homogenization of a nonlinearly coupled elliptic-parabolic system, reduced basis method, and application to nuclear waste storage. Zbl 1330.35027 Gloria, Antoine; Goudon, Thierry; Krell, Stella 9 2013 Simulations of the Lifshitz-Slyozov equations: the role of coagulation terms in the asymptotic behavior. Zbl 1267.82076 Goudon, Thierry; Lagoutière, Frédéric; Tine, Léon Matar 5 2013 Positivity-preserving schemes for Euler equations: sharp and practical CFL conditions. Zbl 1284.65110 Calgaro, C.; Creusé, E.; Goudon, T.; Penel, Y. 4 2013 A fluid-kinetic model for particulate flows with coagulation and breakup: stationary solutions, stability, and hydrodynamic regimes. Zbl 1267.35161 Goudon, Thierry; Sy, Mamadou; Tiné, Léon M. 1 2013 Simulation of fluid-particles flows: heavy particles, flowing regime, and asymptotic-preserving schemes. Zbl 1278.35191 Goudon, Thierry; Jin, Shi; Yan, Bokai 5 2012 Signal propagation of the MAPK cascade in Xenopus oocytes: role of bistability and ultrasensitivity for a mixed problem. Zbl 1284.92032 Blossey, Ralf; Bodart, Jean-François; Devys, Anne; Goudon, Thierry; Lafitte, Pauline 3 2012 The Lifschitz-Slyozov equation with space-diffusion of monomers. Zbl 1257.82073 Goudon, Thierry; Lagoutière, Frédéric; Tine, Léon M. 2 2012 Finite volume schemes on unstructured grids for non-local models: application to the simulation of heat transport in plasmas. Zbl 1284.82064 Goudon, Thierry; Parisot, Martin 1 2012 Global existence of the equilibrium diffusion model in radiative hydrodynamics. Zbl 1365.76275 Lin, Chunjin; Goudon, Thierry 8 2011 Hydrodynamic regimes, Knudsen layer, numerical schemes: definition of boundary fluxes. Zbl 1262.65111 Besse, Christophe; Borghol, Saja; Goudon, Thierry; Lacroix-Violet, Ingrid; Dudon, Jean-Paul 6 2011 Integration. Lebesque interal and introduction to functional analysis. (Intégration. Intégrale de Lebesgue et introduction à l’analyse fonctionnelle.) Zbl 1327.28002 Goudon, Thierry 5 2011 On the Spitzer-Härm regime and nonlocal approximations: modeling, analysis, and numerical simulations. Zbl 1229.35301 Goudon, Thierry; Parisot, Martin 2 2011 Vanishing viscosity regimes and nonstandard shock relations for semiconductor superlattices models. Zbl 1213.35354 Goudon, T.; Nieto, J.; Sánchez, O.; Soler, J. 1 2011 Non-local macroscopic models based on Gaussian closures for the Spizer-Härm regime. Zbl 1233.82042 Goudon, Thierry; Parisot, Martin 1 2011 The Navier-Stokes-Vlasov-Fokker-Planck system near equilibrium. Zbl 1217.35142 Goudon, Thierry; He, Lingbing; Moussa, Ayman; Zhang, Ping 53 2010 Regularity analysis for systems of reaction-diffusion equations. Zbl 1191.35202 Goudon, Thierry; Vasseur, Alexis 34 2010 \(L^{\infty }\)-stability of vertex-based MUSCL finite volume schemes on unstructured grids: Simulation of incompressible flows with high density ratios. Zbl 1425.76157 Calgaro, Caterina; Chane-Kane, Emile; Creusé, Emmanuel; Goudon, Thierry 13 2010 On a generalized Boltzmann equation for non-classical particle transport. Zbl 1219.35166 Frank, Martin; Goudon, Thierry 10 2010 Derivation of a non-local model for diffusion asymptotics – application to radiative transfer problems. Zbl 1364.82052 Besse, C.; Goudon, T. 3 2010 The linear Boltzmann equation with space periodic electric field. Zbl 1208.35099 Bostan, Mihai; Gamba, Irene M.; Goudon, Thierry 1 2010 Scaling limit of a discrete prion dynamics model. Zbl 1196.34012 Doumic, Marie; Goudon, Thierry; Lepoutre, Thomas 16 2009 A model describing the growth and the size distribution of multiple metastatic tumors. Zbl 1195.35054 Devys, Anne; Goudon, Thierry; Lafitte, Pauline 10 2009 Mathematical models and numerical methods for radiative transfer. Collection of papers from the summer school, Nice, France, July 31 to August 4, 2007. Zbl 1188.85001 6 2009 Fluid-particles flows: a thin spray model with energy exchanges. Zbl 1176.76132 Boudin, Laurent; Boutin, Benjamin; Fornet, Bruno; Goudon, Thierry; Lafitte, Pauline; Lagoutière, Frédéric; Merlet, Benoît 6 2009 Stochastic acceleration in an inhomogeneous time random force field. Zbl 1196.70014 Goudon, Thierry; Rousset, Mathias 5 2009 An hybrid finite volume-finite element method for variable density incompressible flows. Zbl 1137.76037 Calgaro, Caterina; Creusé, Emmanuel; Goudon, Thierry 30 2008 Simulation of fluid and particles flows: asymptotic preserving schemes for bubbling and flowing regimes. Zbl 1141.76050 Carrillo, José-Antonio; Goudon, Thierry; Lafitte, Pauline 21 2008 Numerical schemes of diffusion asymptotics and moment closures for kinetic equations. Zbl 1203.65015 Carrillo, J. A.; Goudon, T.; Lafitte, P.; Vecil, F. 18 2008 Low field regime for the relativistic Vlasov-Maxwell-Fokker-Planck system: the one and one half dimensional case. Zbl 1185.35287 Bostan, Mihai; Goudon, Thierry 7 2008 High-electric-field limit for the Vlasov-Maxwell-Fokker-Planck system. Zbl 1157.35486 Bostan, Mihai; Goudon, Thierry 5 2008 The strong relaxation limit of the multidimensional isothermal Euler equations. Zbl 1170.35477 Coulombel, Jean-François; Goudon, Thierry 34 2007 Asymptotic stability of shock profiles in radiative hydrodynamics. Zbl 1387.35497 Lin, Chunjin; Coulombel, Jean-François; Goudon, Thierry 21 2007 Homogenization of transport equations: a simple PDE approach to the Kubo formula. Zbl 1108.60060 Goudon, Thierry; Poupaud, Frédéric 6 2007 Large time dynamics of a classical system subject to a fast varying force. Zbl 1127.37052 Castella, F.; Degond, P.; Goudon, Th. 3 2007 Asymptotic problems for wave-particle interactions: quantum and classical models. Zbl 1202.35182 Castella, François; Degond, Pierre; Goudon, Thierry 2 2007 On the Shockley-Read-Hall model: generation-recombination in semiconductors. Zbl 1146.82007 Goudon, Thierry; Miljanović, Vera; Schmeiser, Christian 2 2007 Stability and asymptotic analysis of a fluid-particle interaction model. Zbl 1105.35088 Carrillo, José A.; Goudon, Thierry 87 2006 Shock profiles for non-equilibrium radiating gases. Zbl 1096.35086 Lin, Chunjin; Coulombel, Jean-François; Goudon, Thierry 60 2006 Diffusion dynamics of classical systems driven by an oscillatory force. Zbl 1134.82033 Castella, F.; Degond, P.; Goudon, Th. 5 2006 Entropy-based moment closure for kinetic equations: Riemann problem and invariant regions. Zbl 1121.35075 Coulombel, Jean-François; Goudon, Thierry 4 2006 Multidimensional high-field limit of the electrostatic Vlasov-Poisson-Fokker-Planck system. Zbl 1072.35176 Goudon, T.; Nieto, J.; Poupaud, F.; Soler, J. 34 2005 A coupled model for radiative transfer: Doppler effects, equilibrium, and nonequilibrium diffusion asymptotics. Zbl 1236.85006 Godillon-Lafitte, Pauline; Goudon, Thierry 30 2005 Hydrodynamic limit for the Vlasov-Poisson-Fokker-Planck system: analysis of the two-dimensional case. Zbl 1074.82021 Goudon, Thierry 26 2005 Diffusion approximation and entropy-based moment closure for kinetic equations. Zbl 1091.35038 Coulombel, Jean-François; Golse, François; Goudon, Thierry 22 2005 Hydrodynamic limit for the Vlasov-Navier-Stokes equations. I: Light particles regime. II: Fine particles regime. Zbl 1085.35117 Goudon, Thierry; Jabin, Pierre-Emmanuel; Vasseur, Alexis 110 2004 Homogenization of transport equations: weak mean field approximation. Zbl 1077.35019 Goudon, Thierry; Poupaud, Frédéric 11 2004 A numerical study on large-time asymptotics of the Lifshitz–Slyozov system. Zbl 1097.35102 Carrillo, J. A.; Goudon, T. 8 2004 On the modeling of the transport of particles in turbulent flows. Zbl 1079.76037 Goudon, Thierry; Poupaud, Frédéric 6 2004 Low-field limit for a nonlinear discrete drift-diffusion model arising in semiconductor superlattices theory. Zbl 1059.82044 Goudon, Thierry; Sánchez, Oscar; Soler, Juan; Bonilla, Luis L. 4 2004 Equilibration rate for the linear inhomogeneous relaxation-time Boltzmann equation for charged particles. Zbl 1045.35094 Cáceres, Maria J.; Carrillo, José A.; Goudon, Thierry 27 2003 Homogenization and diffusion asymptotics of the linear Boltzmann equation. Zbl 1070.35032 Goudon, Thierry; Mellet, Antoine 14 2003 On fluid limit for the semiconductors Boltzmann equation. Zbl 1013.82024 Goudon, Thierry; Mellet, Antoine 7 2003 The Becker-Döring system and its Lifshitz-Slyozov limit. Zbl 1025.45005 Collet, Jean-François; Goudon, Thierry; Poupaud, Frédéric; Vasseur, Alexis 18 2002 Fourier-based distances and Berry-Esseen like inequalities for smooth densities. Zbl 0992.60027 Goudon, Thierry; Junca, Stéphane; Toscani, Giuseppe 13 2002 Some remarks on large-time asymptotic of the Lifshitz-Slyozov equations. Zbl 1067.82046 Collet, Jean-François; Goudon, Thierry; Vasseur, Alexis 7 2002 Analysis of a semidiscrete version of the Wigner equation. Zbl 1037.65094 Goudon, Thierry 4 2002 Discrete version of the SHE asymptotics: multigroup neutron transport equations. Zbl 1060.82042 Goudon, Thierry; Mellet, Antoine 3 2002 Approximation by homogenization and diffusion of kinetic equations. Zbl 0988.35023 Goudon, Thierry; Poupaud, Frederic 27 2001 Asymptotic problems for a kinetic model of two-phase flow. Zbl 0992.35017 Goudon, T. 10 2001 Diffusion approximation in heterogeneous media. Zbl 1009.35010 Goudon, Thierry; Mellet, Antoine 6 2001 Parabolic equations involving 0th and 1st order terms with \(L^1\) data. Zbl 1001.35066 Goudon, Thierry; Saad, Mazen 1 2001 ...and 10 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,028 Authors 56 Goudon, Thierry 20 Choi, Young-Pil 19 Carrillo de la Plata, José Antonio 16 Ducomet, Bernard 14 Nečasová, Šárka 13 Desvillettes, Laurent 13 Tang, Bao Quoc 12 Fellner, Klemens 12 Schmeiser, Christian 10 Jiang, Peng 10 Mellet, Antoine 10 Perthame, Benoît 10 Ruan, Lizhi 10 Soler, Juan S. 9 Huang, Bingyuan 9 Pierre, Michel 9 Toscani, Giuseppe 9 Wang, Wenjun 8 Dolbeault, Jean 8 Ha, Seung-Yeal 8 Li, Qin 8 Mouhot, Clément 8 Peng, Yuejun 8 Vasseur, Alexis F. 8 Xie, Feng 7 Amorim, Paulo 7 Bouin, Emeric 7 Martínez Gamba, Irene 7 Jin, Shi 7 Klar, Axel 7 Mischler, Stéphane 7 Morgan, Jeff J. 7 Tayeb, Mohamed Lazhar 7 Villani, Cédric 7 Wen, Huanyao 7 Zhu, Changjiang 6 Amaziane, Brahim 6 Berthelin, Florent 6 Calgaro, Caterina 6 Cañizo, José Alfredo 6 Degond, Pierre 6 Ding, Shijin 6 Fan, Lili 6 Frank, Martin 6 Minjeaud, Sebastian 6 Pankratov, Leonid S. 6 Xiang, Wei 5 Aceves-Sánchez, Pedro 5 Bellomo, Nicola 5 Calvo, Juan G. 5 Chacón, Luis 5 Conlon, Joseph G. 5 Doumic, Marie 5 Han-Kwan, Daniel 5 Huang, Bingkang 5 Jung, Jinwook 5 Jüngel, Ansgar 5 Krell, Stella 5 Lafitte, Pauline 5 Li, Fucai 5 Li, Hailiang 5 Lin, Chunjin 5 Lu, Jianfeng 5 Qin, Yuming 5 Ribot, Magali 5 Schneider, Florian H. 5 Simakov, A. N. 5 Taitano, William T. 5 Trivisa, Konstantina 5 Tse, Oliver 5 Vasques, Richard 5 Wang, Li 5 Yan, Bokai 5 Yang, Xiongfeng 5 Yao, Lei 5 Yu, Cheng 5 Zhu, Limei 4 Alexandre, Radjesvarane 4 Blanc, Xavier 4 Bostan, Mihai 4 Castella, François 4 Chen, Yingshan 4 Danchin, Raphaël 4 El Ghani, Najoua 4 Guérin, Hélène 4 He, Lingbing 4 Hivert, Hélène 4 Kang, Kyungkeun 4 Li, Yeping 4 Liao, Jie 4 Lods, Bertrand 4 Lu, Xuguang 4 Masmoudi, Nader 4 Moussa, Ayman 4 Niethammer, Barbara 4 Nieto, Juanjo 4 Pareschi, Lorenzo 4 Poupaud, Frédéric 4 Poyato, David 4 Rey, Thomas ...and 928 more Authors all top 5 Cited in 159 Serials 52 Journal of Differential Equations 47 Journal of Computational Physics 42 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 33 Journal of Statistical Physics 32 SIAM Journal on Mathematical Analysis 28 Kinetic and Related Models 23 Journal of Mathematical Analysis and Applications 19 Nonlinear Analysis. 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Mathematics 2 Analysis and Mathematical Physics 2 S\(\vec{\text{e}}\)MA Journal 2 Advances in Nonlinear Analysis 2 Journal of Function Spaces 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 2 Tunisian Journal of Mathematics 2 SMAI Journal of Computational Mathematics 2 Electronic Research Archive 2 Communications in Mathematical Analysis and Applications 1 International Journal for Numerical Methods in Fluids ...and 59 more Serials all top 5 Cited in 36 Fields 646 Partial differential equations (35-XX) 377 Fluid mechanics (76-XX) 267 Statistical mechanics, structure of matter (82-XX) 144 Numerical analysis (65-XX) 116 Biology and other natural sciences (92-XX) 48 Probability theory and stochastic processes (60-XX) 35 Integral equations (45-XX) 29 Optics, electromagnetic theory (78-XX) 29 Classical thermodynamics, heat transfer (80-XX) 19 Ordinary differential equations (34-XX) 19 Dynamical systems and ergodic theory (37-XX) 18 Mechanics of deformable solids (74-XX) 14 Quantum theory (81-XX) 13 Mechanics of particles and systems (70-XX) 13 Astronomy and astrophysics (85-XX) 12 Real functions (26-XX) 10 Functional analysis (46-XX) 9 Approximations and expansions (41-XX) 9 Operator theory (47-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Operations research, mathematical programming (90-XX) 6 Systems theory; control (93-XX) 4 Geophysics (86-XX) 4 Information and communication theory, circuits (94-XX) 3 Special functions (33-XX) 3 Difference and functional equations (39-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Statistics (62-XX) 2 General topology (54-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Computer science (68-XX) 2 Relativity and gravitational theory (83-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Differential geometry (53-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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