Edit Profile (opens in new tab) Degond, Pierre Compute Distance To: Compute Author ID: degond.pierre Published as: Degond, Pierre; Degond, P. Homepage: http://www.imperial.ac.uk/people/p.degond External Links: MGP · Wikidata · dblp · GND · IdRef · theses.fr Documents Indexed: 280 Publications since 1983 10 Contributions as Editor Co-Authors: 199 Co-Authors with 268 Joint Publications 3,777 Co-Co-Authors all top 5 Co-Authors 20 single-authored 18 Liu, Jianguo 17 Ben Abdallah, Naoufel 17 Ringhofer, Christian A. 16 Deluzet, Fabrice 15 Schmeiser, Christian 15 Vignal, Marie-Hélène 13 Lemou, Mohammed 13 Markowich, Peter Alexander 11 Motsch, Sébastien 10 Méhats, Florian 10 Merino-Aceituno, Sara 9 Frouvelle, Amic 9 Poupaud, Frédéric 8 Aoki, Kazuo 8 Lucquin-Desreux, Brigitte 8 Navoret, Laurent 7 Cordier, Stéphane 7 Dimarco, Giacomo 7 Jüngel, Ansgar 7 Mustieles, Francisco-José 7 Peurichard, Diane 6 Gallego, Samy 6 Génieys, Stéphane 6 Mieussens, Luc 6 Narski, Jacek 6 Parzani, Céline 6 Raviart, Pierre-Arnaud 6 Yu, Hui 5 Appert-Rolland, Cécile 5 Bardos, Claude Williams 5 Besse, Christophe 5 Carrillo de la Plata, José Antonio 5 Castella, François 5 Crispel, Pierre 5 Lozinski, Alexei 4 Choquet, Isabelle 4 Crouseilles, Nicolas 4 Martínez Gamba, Irene 4 Goudon, Thierry 4 Jin, Shi 4 Klar, Axel 4 López, José Luis 4 Negulescu, Claudia 4 Niclot, Bernard 4 Pettré, Julien 4 Theraulaz, Guy 4 Zatorska, Ewelina 3 Aceves-Sánchez, Pedro 3 Armbruster, Dieter 3 Arnold, Anton 3 Assous, Franck 3 Brull, Stephane 3 Casteilla, Louis 3 Claudel, Jean 3 Delaurens, Frédérique 3 Gallice, Gérard 3 Hecht, Sophie 3 Herty, Michael Matthias 3 Hua, Jiale 3 Latocha, Vladimir 3 Levermore, C. David 3 Lorsignol, Anne 3 Manhart, Angelika 3 Mas-Gallic, Sylvie 3 Peyrard, Pierre-François 3 Segré, Jacques 3 Tadmor, Eitan 3 Tessieras, Christian 3 Trescases, Ariane 3 Wennberg, Bernt 3 Yang, Tong 2 Aymard, Benjamin 2 Barbaro, Alethea B. T. 2 Barré, Julien 2 Bellomo, Nicola 2 Berthelin, Florent 2 Bidégaray-Fesquet, Brigitte 2 Blanchet, Adrien 2 Bon, Richard 2 Buet, Christophe 2 Carlen, Eric Anders 2 Chertock, Alina E. 2 Cordier, Floraine 2 Delebecque, Fanny 2 Delitala, Marcello Edoardo 2 Diez, Antoine 2 El Ayyadi, Asma 2 Engel, Maximilian 2 Ferreira, Marina A. 2 Glassey, Robert T. 2 Göttlich, Simone 2 Guyot-Delaurens, F. 2 Illner, Reinhard 2 Jaffard, Stéphane 2 Kumbaro, Anela 2 Liu, Hailiang 2 Mac, Thi Bich Ngoc 2 Mellet, Antoine 2 Minakowski, Piotr 2 Moussaid, Mehdi ...and 99 more Co-Authors all top 5 Serials 28 Journal of Computational Physics 19 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 15 Journal of Statistical Physics 13 Comptes Rendus de l’Académie des Sciences. Série I 13 Multiscale Modeling & Simulation 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 Kinetic and Related Models 8 Networks and Heterogeneous Media 7 Transport Theory and Statistical Physics 7 Communications in Mathematical Sciences 6 SIAM Journal on Applied Mathematics 5 Mathematical Methods in the Applied Sciences 5 Asymptotic Analysis 5 Journal of Nonlinear Science 5 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 4 Archive for Rational Mechanics and Analysis 4 Journal of Mathematical Physics 4 Mathematical Biosciences and Engineering 4 Communications in Computational Physics 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Applied Mathematics Letters 3 Journal of Scientific Computing 3 Journal of Mathematical Fluid Mechanics 3 Discrete and Continuous Dynamical Systems. Series B 3 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 3 Modeling and Simulation in Science, Engineering and Technology 2 Journal of Mathematical Biology 2 Nonlinearity 2 Mathematics of Computation 2 Bulletin of Mathematical Biology 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Gazette des Mathématiciens 2 Numerische Mathematik 2 SIAM Journal on Numerical Analysis 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 RAIRO. Modélisation Mathématique et Analyse Numérique 2 COMPEL 2 Mathematical and Computer Modelling 2 SIAM Journal on Scientific Computing 2 Methods and Applications of Analysis 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 2 European Journal of Mechanics. B. Fluids 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 The IMA Volumes in Mathematics and its Applications 2 Journal of Theoretical Biology 1 Computers and Fluids 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 International Journal for Numerical Methods in Fluids 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Indiana University Mathematics Journal 1 Quarterly of Applied Mathematics 1 Transactions of the American Mathematical Society 1 SIAM Journal on Scientific and Statistical Computing 1 Chinese Annals of Mathematics. Series B 1 Forum Mathematicum 1 The Annals of Applied Probability 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Non-Newtonian Fluid Mechanics 1 SIAM Journal on Mathematical Analysis 1 Continuum Mechanics and Thermodynamics 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Physics of Fluids 1 Discrete and Continuous Dynamical Systems 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Nonlinear Analysis. Real World Applications 1 SIAM Journal on Applied Dynamical Systems 1 International Journal of Computing Science and Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications 1 Séminaire Laurent Schwartz. EDP et Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys all top 5 Fields 162 Statistical mechanics, structure of matter (82-XX) 148 Partial differential equations (35-XX) 132 Fluid mechanics (76-XX) 63 Numerical analysis (65-XX) 47 Biology and other natural sciences (92-XX) 38 Optics, electromagnetic theory (78-XX) 13 Integral equations (45-XX) 13 Quantum theory (81-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Operations research, mathematical programming (90-XX) 11 Probability theory and stochastic processes (60-XX) 9 General and overarching topics; collections (00-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Mechanics of particles and systems (70-XX) 7 Mechanics of deformable solids (74-XX) 6 Approximations and expansions (41-XX) 5 Ordinary differential equations (34-XX) 4 Operator theory (47-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Systems theory; control (93-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 History and biography (01-XX) 2 Computer science (68-XX) 2 Relativity and gravitational theory (83-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 251 Publications have been cited 4,129 times in 2,286 Documents Cited by ▼ Year ▼ Continuum limit of self-driven particles with orientation interaction. Zbl 1157.35492Degond, Pierre; Motsch, Sébastien 167 2008 Kinetic formulation and global existence for the Hall-magneto-hydrodynamics system. Zbl 1251.35076Acheritogaray, Marion; Degond, Pierre; Frouvelle, Amic; Liu, Jian-Guo 125 2011 Global existence for the Vlasov-Poisson equation in 3 space variables with small initial data. Zbl 0593.35076Bardos, C.; Degond, P. 123 1985 Well-posedness for Hall-magnetohydrodynamics. Zbl 1297.35064Chae, Dongho; Degond, Pierre; Liu, Jian-Guo 118 2014 On a one-dimensional steady-state hydrodynamic model for semiconductors. Zbl 0736.35129Degond, P.; Markowich, P. A. 98 1990 On a hierarchy of macroscopic models for semiconductors. Zbl 0868.45006Ben Abdallah, N.; Degond, P. 92 1996 Large scale dynamics of the persistent turning Walker model of fish behavior. Zbl 1214.82075Degond, Pierre; Motsch, Sébastien 83 2008 On a finite-element method for solving the three-dimensional Maxwell equations. Zbl 0795.65087Assous, F.; Degond, P.; Heintze, E.; Raviart, P. A.; Segre, J. 78 1993 All speed scheme for the low Mach number limit of the isentropic Euler equations. Zbl 1364.76129Degond, Pierre; Tang, Min 75 2011 An asymptotic-preserving all-speed scheme for the Euler and Navier-Stokes equations. Zbl 1277.76090Cordier, Floraine; Degond, Pierre; Kumbaro, Anela 73 2012 The weighted particle method for convection-diffusion equations. I: The case of an isotropic viscosity. Zbl 0676.65121Degond, P.; Mas-Gallic, S. 72 1989 The Fokker-Planck asymptotics of the Boltzmann collision operator in the Coulomb case. Zbl 0755.35091Degond, P.; Lucquin-Desreux, B. 66 1992 A model for the formation and evolution of traffic jams. Zbl 1153.90003Berthelin, F.; Degond, P.; Delitala, M.; Rascle, M. 61 2008 A steady state potential flow model for semiconductors. Zbl 0808.35150Degond, Pierre; Markowich, Peter A. 55 1993 Quantum moment hydrodynamics and the entropy principle. Zbl 1035.82028Degond, P.; Ringhofer, C. 54 2003 Global existence of smooth solutions for the Vlasov-Fokker-Planck equation in 1 and 2 space dimensions. Zbl 0619.35087Degond, Pierre 54 1986 Quantum energy-transport and drift-diffusion models. Zbl 1126.82314Degond, Pierre; Méhats, Florian; Ringhofer, Christian 51 2005 Dispersion relations for the linearized Fokker-Planck equation. Zbl 0888.35084Degond, P.; Lemou, M. 47 1997 A model for the dynamics of large queuing networks and supply chains. Zbl 1107.90002Armbruster, D.; Degond, P.; Ringhofer, C. 45 2006 An energy-transport model for semiconductors derived from the Boltzmann equation. Zbl 1081.82610Ben Abdallah, N.; Degond, P.; Genieys, S. 45 1996 Macroscopic limits and phase transition in a system of self-propelled particles. Zbl 1275.35019Degond, Pierre; Frouvelle, Amic; Liu, Jian-Guo 44 2013 Diffusion limit for non homogeneous and non-micro-reversible processes. Zbl 0971.82035Degond, P.; Goudon, T.; Poupaud, F. 41 2000 Phase transitions, hysteresis, and hyperbolicity for self-organized alignment dynamics. Zbl 1311.82017Degond, Pierre; Frouvelle, Amic; Liu, Jian-Guo 40 2015 A deterministic approximation of diffusion equations using particles. Zbl 0713.65090Degond, Pierre; Mustieles, Francisco-José 38 1990 An asymptotic preserving scheme for the two-fluid Euler-Poisson model in the quasineutral limit. Zbl 1163.76062Crispel, Pierre; Degond, Pierre; Vignal, Marie-Hélène 37 2007 Local existence of solutions of the Vlasov-Maxwell equations and convergence to the Vlasov-Poisson equations for infinite light velocity. Zbl 0619.35088Degond, P. 36 1986 Fast algorithms for numerical, conservative, and entropy approximations of the Fokker-Planck-Landau equation. Zbl 0880.65112Buet, C.; Cordier, S.; Degond, P.; Lemou, M. 36 1997 Macroscopic limit of self-driven particles with orientation interaction. Zbl 1206.82068Degond, Pierre; Motsch, Sébastien 36 2007 A hierarchy of heuristic-based models of crowd dynamics. Zbl 1274.91094Degond, P.; Appert-Rolland, C.; Moussaïd, M.; Pettré, J.; Theraulaz, G. 36 2013 A system of parabolic equations in nonequilibrium thermodynamics including thermal and electrical effects. Zbl 0907.35059Degond, Pierre; Génieys, Stéphane; Jüngel, Ansgar 35 1997 On a one-dimensional Schrödinger-Poisson scattering model. Zbl 0885.34067Ben Abdallah, Naoufel; Degond, Pierre; Markowich, Peter A. 34 1997 A new flocking model through body attitude coordination. Zbl 1372.35308Degond, Pierre; Frouvelle, Amic; Merino-Aceituno, Sara 34 2017 A smooth transition model between kinetic and hydrodynamic equations. Zbl 1138.82324Degond, Pierre; Jin, Shi; Mieussens, Luc 32 2005 A model hierarchy for ionospheric plasma modeling. Zbl 1177.76456Besse, Christophe; Degond, Pierre; Deluzet, Fabrice; Claudel, Jean; Gallice, Gérard; Tessieras, Christian 32 2004 Hydrodynamic models of self-organized dynamics: derivation and existence theory. Zbl 1278.35153Degond, Pierre; Liu, Jian-Guo; Motsch, Sebastien; Panferov, Vladislav 32 2013 A traffic-flow model with constraints for the modeling of traffic jams. Zbl 1197.35159Berthelin, Florent; Degond, Pierre; le Blanc, Valerie; Moutari, Salissou; Rascle, Michel; Royer, Julien 30 2008 Phase transitions in a kinetic flocking model of Cucker-Smale type. Zbl 1356.35260Barbaro, Alethea B. T.; Cañizo, José A.; Carrillo, José A.; Degond, Pierre 29 2016 Schémas décentrés polynomiaux pour les systèmes hyperboliques. (Polynomial upwind schemes for hyperbolic systems.) Zbl 0933.65101Degond, Pierre; Peyrard, Pierre-François; Russo, Giovanni; Villedieux, Philippe 29 1999 Mathematical modelling of microelectronics semiconductor devices. Zbl 0956.35121Degond, Pierre 29 2000 An entropy scheme for the Fokker-Planck collision operator of plasma kinetic theory. Zbl 0806.65133Degond, Pierre; Lucquin-Desreux, Brigitte 28 1994 A multiscale kinetic-fluid solver with dynamic localization of kinetic effects. Zbl 1346.82035Degond, Pierre; Dimarco, Giacomo; Mieussens, Luc 28 2010 The asymptotics of collision operators for two species of particles of disparate masses. Zbl 0853.76079Degond, Pierre; Lucquin-Desreux, Brigitte 28 1996 Mach-number uniform asymptotic-preserving gauge schemes for compressible flows. Zbl 1210.76135Degond, P.; Jin, S.; Liu, J.-G. 28 2007 An asymptotic preserving scheme for strongly anisotropic elliptic problems. Zbl 1190.35216Degond, Pierre; Deluzet, Fabrice; Negulescu, Claudia 27 2010 An asymptotic-preserving method for highly anisotropic elliptic equations based on a micro-macro decomposition. Zbl 1332.65165Degond, Pierre; Lozinski, Alexei; Narski, Jacek; Negulescu, Claudia 27 2012 The moment-guided Monte Carlo method. Zbl 1227.82061Degond, Pierre; Dimarco, Giacomo; Pareschi, Lorenzo 27 2011 Diffusion in a continuum model of self-propelled particles with alignment interaction. Zbl 1420.76006Degond, Pierre; Yang, Tong 26 2010 Existence of solutions and diffusion approximation for a model Fokker- Planck equation. Zbl 0649.76065Degond, Pierre; Mas-Gallic, Sylvie 25 1987 Large-scale dynamics of mean-field games driven by local Nash equilibria. Zbl 1295.91015Degond, Pierre; Liu, Jian-Guo; Ringhofer, Christian 25 2014 Transport coefficients of plasmas and disparate mass binary gases. Zbl 0909.35108Degond, Pierre; Lucquin-Desreux, Brigitte 24 1996 An asymptotic preserving scheme for the Euler equations in a strong magnetic field. Zbl 1396.76067Degond, P.; Deluzet, F.; Sangam, A.; Vignal, M.-H. 24 2009 Numerical discretization of energy-transport models for semiconductors with nonparabolic band structure. Zbl 1049.82074Degond, Pierre; Jüngel, Ansgar; Pietra, Paola 24 2000 Vision-based macroscopic pedestrian models. Zbl 1426.76051Degond, Pierre; Appert-Rolland, Cécile; Pettré, Julien; Theraulaz, Guy 24 2013 Quaternions in collective dynamics. Zbl 1382.35310Degond, Pierre; Frouvelle, Amic; Merino-Aceituno, Sara; Trescases, Ariane 23 2018 A smooth transition model between kinetic and diffusion equations. Zbl 1086.82005Degond, Pierre; Jin, Shi 23 2005 Macroscopic limits of the Boltzmann equation: a review. Zbl 1106.82030Degond, Pierre 23 2004 A steady-state system in non-equilibrium thermodynamics including thermal and electrical effects. Zbl 0935.35046Degond, Pierre; Génieys, Stéphane; Jüngel, Ansgar 23 1998 An analysis of the Darwin model of approximation to Maxwell’s equations. Zbl 0755.35137Degond, Pierre; Raviart, Pierre-Arnaud 22 1992 Asymptotic-preserving particle-in-cell method for the Vlasov-Poisson system near quasineutrality. Zbl 1346.82034Degond, Pierre; Deluzet, Fabrice; Navoret, Laurent; Sun, An-Bang; Vignal, Marie-Hélène 22 2010 Two-way multi-lane traffic model for pedestrians in corridors. Zbl 1260.90051Appert-Rolland, Cécile; Degond, Pierre; Motsch, Sébastien 22 2011 Asymptotic-preserving schemes for fluid models of plasmas. Zbl 1308.76182Degond, P. 22 2013 A hybrid kinetic/fluid model for solving the gas dynamics Boltzmann-BGK equation. Zbl 1059.76058Crouseilles, N.; Degond, P.; Lemou, M. 21 2004 Spectral theory of the linearized Vlasov-Poisson equation. Zbl 0604.35063Degond, Pierre 21 1986 Numerical approximation of the Euler-Maxwell model in the quasineutral limit. Zbl 1244.82009Degond, P.; Deluzet, F.; Savelief, D. 21 2012 Asymptotic-preserving methods and multiscale models for plasma physics. Zbl 1375.82108Degond, Pierre; Deluzet, Fabrice 20 2017 Kinetic limits for pair-interaction driven master equations and biological swarm models. Zbl 1294.35173Carlen, Eric; Degond, Pierre; Wennberg, Bernt 20 2013 Duality-based asymptotic-preserving method for highly anisotropic diffusion equations. Zbl 1272.65090Degond, Pierre; Deluzet, Fabrice; Lozinski, Alexei; Narski, Jacek; Negulescu, Claudia 20 2012 Phase transition and diffusion among socially interacting self-propelled agents. Zbl 1304.35412Barbaro, Alethea B. T.; Degond, Pierre 20 2014 Self-organized hydrodynamics with congestion and path formation in crowds. Zbl 1286.93026Degond, Pierre; Hua, Jiale 20 2013 Evolution of the distribution of wealth in an economic environment driven by local Nash equilibria. Zbl 1298.91104Degond, Pierre; Liu, Jian-Guo; Ringhofer, Christian 19 2014 Macroscopic fluid models with localized kinetic upscaling effects. Zbl 1147.82331Degond, Pierre; Liu, Jian-Guo; Mieussens, Luc 18 2006 A macroscopic model for a system of swarming agents using curvature control. Zbl 1222.82071Degond, Pierre; Motsch, Sébastien 18 2011 Deterministic particle simulations of the Boltzmann transport equation of semiconductors. Zbl 0662.65126Niclot, B.; Degond, P.; Poupaud, F. 18 1988 Evolution of wealth in a non-conservative economy driven by local Nash equilibria. Zbl 1353.91051Degond, Pierre; Liu, Jian-Guo; Ringhofer, Christian 18 2014 Coagulation-fragmentation model for animal group-size statistics. Zbl 1382.92260Degond, Pierre; Liu, Jian-Guo; Pego, Robert L. 17 2017 Numerical simulations of the Euler system with congestion constraint. Zbl 1408.76379Degond, Pierre; Hua, Jiale; Navoret, Laurent 17 2011 A moving interface method for dynamic kinetic-fluid coupling. Zbl 1388.76335Degond, Pierre; Dimarco, Giacomo; Mieussens, Luc 17 2007 On the asymptotic limit of the three dimensional Vlasov-Poisson system for large magnetic field: formal derivation. Zbl 1360.35280Degond, Pierre; Filbet, Francis 17 2016 The weighted particle method for convection-diffusion equations. II: The anisotropic case. Zbl 0676.65122Degond, P.; Mas-Gallic, S. 17 1989 Hydrodynamics of the Kuramoto-Vicsek model of rotating self-propelled particles. Zbl 1285.35120Degond, Pierre; Dimarco, Giacomo; Mac, Thi Bich Ngoc 17 2014 A coupled Schrödinger drift-diffusion model for quantum semiconductor device simulations. Zbl 1008.82033Degond, P.; El Ayyadi, A. 16 2002 An asymptotic analysis of the one-dimensional Vlasov-Poisson system: The Child-Langmuir law. Zbl 0840.35082Degond, P.; Raviart, P. A. 16 1991 Macroscopic models for semiconductor heterostructures. Zbl 0938.82049Degond, P.; Schmeiser, C. 16 1998 Active particles, Volume 1. Advances in theory, models, and applications. Zbl 1368.00045 16 2017 Mean-field games and model predictive control. Zbl 1383.93029Degond, Pierre; Herty, Michael; Liu, Jian-Guo 15 2017 Modeling and computational methods for kinetic equations. Zbl 1054.76004 15 2004 Trail formation based on directed pheromone deposition. Zbl 1286.35238Boissard, Emmanuel; Degond, Pierre; Motsch, Sebastien 15 2013 On the time splitting spectral method for the complex Ginzburg-Landau equation in the large time and space scale limit. Zbl 1176.35170Degond, Pierre; Jin, Shi; Tang, Min 14 2008 Coupling one-dimensional time-dependent classical and quantum transport models. Zbl 1052.82027Ben Abdallah, N.; Degond, P.; Gamba, I. M. 14 2002 Macroscopic models of collective motion with repulsion. Zbl 1334.35351Degond, Pierre; Dimarco, Giacomo; Mac, Thi Bich Ngoc; Wang, Nan 14 2015 Modelling and simulation of vehicular traffic jam formation. Zbl 1153.90356Degond, Pierre; Delitala, Marcello 14 2008 An entropic quantum drift-diffusion model for electron transport in resonant tunneling diodes. Zbl 1107.82401Degond, Pierre; Gallego, Samy; Méhats, Florian 13 2007 Hydrodynamics of self-alignment interactions with precession and derivation of the Landau-Lifschitz-Gilbert equation. Zbl 1387.35024Degond, Pierre; Liu, Jian-Guo 13 2012 Analysis of an asymptotic preserving scheme for the Euler-Poisson system in the quasineutral limit. Zbl 1173.82032Degond, Pierre; Liu, Jian-Guo; Vignal, Marie-Hélène 13 2008 On the paraxial approximation of the stationary Vlasov-Maxwell system. Zbl 0787.35110Degond, P.; Raviart, P. A. 12 1993 Kinetic models for polymers with inertial effects. Zbl 1183.76614Degond, Pierre; Liu, Hailiang 12 2009 The Child-Langmuir law for the Boltzmann equation of semiconductors. Zbl 0828.35131Ben Abdallah, Naoufel; Degond, Pierre 12 1995 An asymptotically stable semi-Lagrangian scheme in the quasi-neutral limit. Zbl 1203.65217Belaouar, R.; Crouseilles, N.; Degond, P.; Sonnendrücker, E. 12 2009 Stochastic dynamics of long supply chains with random breakdowns. Zbl 1144.90314Degond, P.; Ringhofer, C. 12 2007 Fluid simulations with localized Boltzmann upscaling by direct simulation Monte-Carlo. Zbl 1426.76630Degond, Pierre; Dimarco, Giacomo 12 2012 Incompressible limit of a continuum model of tissue growth for two cell populations. Zbl 1445.35285Degond, Pierre; Hecht, Sophie; Vauchelet, Nicolas 6 2020 Phase transitions and macroscopic limits in a BGK model of body-attitude coordination. Zbl 1475.35348Degond, P.; Diez, A.; Frouvelle, A.; Merino-Aceituno, S. 4 2020 Nematic alignment of self-propelled particles: from particle to macroscopic dynamics. Zbl 1451.35218Degond, Pierre; Merino-Aceituno, Sara 2 2020 Modelling pattern formation through differential repulsion. Zbl 1451.35227Barré, Julien; Degond, Pierre; Peurichard, Diane; Zatorska, Ewelina 1 2020 Alignment of self-propelled rigid bodies: from particle systems to macroscopic equations. Zbl 1442.82030Degond, Pierre; Frouvelle, Amic; Merino-Aceituno, Sara; Trescases, Ariane 6 2019 Coupled self-organized hydrodynamics and Stokes models for suspensions of active particles. Zbl 1420.35232Degond, Pierre; Merino-Aceituno, Sara; Vergnet, Fabien; Yu, Hui 5 2019 Hydrodynamic limits for kinetic flocking models of Cucker-Smale type. Zbl 1470.92398Aceves-Sánchez, Pedro; Bostan, Mihai; Carrillo, Jose-Antonio; Degond, Pierre 3 2019 Active particles, Volume 2. Advances in theory, models, and applications. Zbl 1427.74004 3 2019 Propagation of chaos for topological interactions. Zbl 1456.60254Degond, P.; Pulvirenti, M. 1 2019 Quaternions in collective dynamics. Zbl 1382.35310Degond, Pierre; Frouvelle, Amic; Merino-Aceituno, Sara; Trescases, Ariane 23 2018 Particle interactions mediated by dynamical networks: assessment of macroscopic descriptions. Zbl 1382.82028Barré, Julien; Carrillo, J. A.; Degond, P.; Peurichard, Diane; Zatorska, E. 8 2018 An age-structured continuum model for myxobacteria. Zbl 1414.35234Degond, Pierre; Manhart, Angelika; Yu, Hui 6 2018 Transport of congestion in two-phase compressible/incompressible flows. Zbl 06889448Degond, Pierre; Minakowski, Piotr; Zatorska, Ewelina 5 2018 Finite volume approximations of the Euler system with variable congestion. Zbl 1410.76216Degond, Pierre; Minakowski, Piotr; Navoret, Laurent; Zatorska, Ewelina 5 2018 Pedestrian models based on rational behaviour. Zbl 1410.91376Bailo, Rafael; Carrillo, José A.; Degond, Pierre 3 2018 Modeling crowd dynamics through coarse-grained data analysis. Zbl 1417.91397Motsch, Sebastien; Moussaïd, Mehdi; Guillot, Elsa G.; Moreau, Mathieu; Pettré, Julien; Theraulaz, Guy; Appert-Rolland, Cécile; Degond, Pierre 2 2018 Mathematical models of collective dynamics and self-organization. Zbl 1454.35395Degond, Pierre 1 2018 A new flocking model through body attitude coordination. Zbl 1372.35308Degond, Pierre; Frouvelle, Amic; Merino-Aceituno, Sara 34 2017 Asymptotic-preserving methods and multiscale models for plasma physics. Zbl 1375.82108Degond, Pierre; Deluzet, Fabrice 20 2017 Coagulation-fragmentation model for animal group-size statistics. Zbl 1382.92260Degond, Pierre; Liu, Jian-Guo; Pego, Robert L. 17 2017 Active particles, Volume 1. Advances in theory, models, and applications. Zbl 1368.00045 16 2017 Mean-field games and model predictive control. Zbl 1383.93029Degond, Pierre; Herty, Michael; Liu, Jian-Guo 15 2017 A continuum model for nematic alignment of self-propelled particles. Zbl 1360.35118Yu, Hui; Manhart, Angelika; Degond, Pierre 11 2017 Kinetic models for topological nearest-neighbor interactions. Zbl 1380.82032Blanchet, Adrien; Degond, Pierre 7 2017 Simple mechanical cues could explain adipose tissue morphology. Zbl 1382.92027Peurichard, D.; Delebecque, F.; Lorsignol, A.; Barreau, C.; Rouquette, J.; Descombes, X.; Casteilla, L.; Degond, P. 7 2017 Asymptotic-preserving particle-in-cell methods for the Vlasov-Maxwell system in the quasi-neutral limit. Zbl 1378.76091Degond, P.; Deluzet, F.; Doyen, D. 6 2017 Continuum dynamics of the intention field under weakly cohesive social interaction. Zbl 1362.82033Degond, Pierre; Liu, Jian-Guo; Merino-Aceituno, Sara; Tardiveau, Thomas 5 2017 An asymptotic-preserving method for a relaxation of the Navier-Stokes-Korteweg equations. Zbl 1375.76121Chertock, Alina; Degond, Pierre; Neusser, Jochen 4 2017 Damped Arrow-Hurwicz algorithm for sphere packing. Zbl 1378.65121Degond, Pierre; Ferreira, Marina A.; Motsch, Sebastien 3 2017 Numerical approximation of a coagulation-fragmentation model for animal group size statistics. Zbl 1365.45003Engel, Maximilian; Degond, Pierre 2 2017 Are tumor cell lineages solely shaped by mechanical forces? Zbl 1378.92033Leroy-Lerêtre, Mathieu; Dimarco, Giacomo; Cazales, Martine; Boizeau, Marie-Laure; Ducommun, Bernard; Lobjois, Valérie; Degond, Pierre 1 2017 Phase transitions in a kinetic flocking model of Cucker-Smale type. Zbl 1356.35260Barbaro, Alethea B. T.; Cañizo, José A.; Carrillo, José A.; Degond, Pierre 29 2016 On the asymptotic limit of the three dimensional Vlasov-Poisson system for large magnetic field: formal derivation. Zbl 1360.35280Degond, Pierre; Filbet, Francis 17 2016 Topological interactions in a Boltzmann-type framework. Zbl 1352.92182Blanchet, Adrien; Degond, Pierre 9 2016 Continuum model for linked fibers with alignment interactions. Zbl 1341.82057Degond, Pierre; Delebecque, Fanny; Peurichard, Diane 8 2016 Phase transitions, hysteresis, and hyperbolicity for self-organized alignment dynamics. Zbl 1311.82017Degond, Pierre; Frouvelle, Amic; Liu, Jian-Guo 40 2015 Macroscopic models of collective motion with repulsion. Zbl 1334.35351Degond, Pierre; Dimarco, Giacomo; Mac, Thi Bich Ngoc; Wang, Nan 14 2015 A multi-layer model for self-propelled disks interacting through alignment and volume exclusion. Zbl 1328.35247Degond, Pierre; Navoret, Laurent 10 2015 Nonconforming multiscale finite element method for Stokes flows in heterogeneous media. I: Methodologies and numerical experiments. Zbl 1335.76035Muljadi, B. P.; Narski, J.; Lozinski, A.; Degond, P. 9 2015 A Boltzmann model for rod alignment and schooling fish. Zbl 1320.35251Carlen, Eric; Carvalho, Maria C.; Degond, Pierre; Wennberg, Bernt 8 2015 Time-delayed follow-the-leader model for pedestrians walking in line. Zbl 1401.90045Degond, Pierre; Pettré, Julien; Donikian, Stéphane; Appert-Rolland, Cécile; Jelić, Asja; Lemercier, Samuel; Hua, Jiale; Narski, Jacek; Fehrenbach, Jérôme 5 2015 Self-organized hydrodynamics in an annular domain: modal analysis and nonlinear effects. Zbl 1311.35149Degond, Pierre; Yu, Hui 5 2015 Crouzeix-Raviart msfem with bubble functions for diffusion and advection-diffusion in perforated media. Zbl 1373.76081Degond, Pierre; Lozinski, Alexei; Muljadi, Bagus Putra; Narski, Jacek 4 2015 Well-posedness for Hall-magnetohydrodynamics. Zbl 1297.35064Chae, Dongho; Degond, Pierre; Liu, Jian-Guo 118 2014 Large-scale dynamics of mean-field games driven by local Nash equilibria. Zbl 1295.91015Degond, Pierre; Liu, Jian-Guo; Ringhofer, Christian 25 2014 Phase transition and diffusion among socially interacting self-propelled agents. Zbl 1304.35412Barbaro, Alethea B. T.; Degond, Pierre 20 2014 Evolution of the distribution of wealth in an economic environment driven by local Nash equilibria. Zbl 1298.91104Degond, Pierre; Liu, Jian-Guo; Ringhofer, Christian 19 2014 Evolution of wealth in a non-conservative economy driven by local Nash equilibria. Zbl 1353.91051Degond, Pierre; Liu, Jian-Guo; Ringhofer, Christian 18 2014 Hydrodynamics of the Kuramoto-Vicsek model of rotating self-propelled particles. Zbl 1285.35120Degond, Pierre; Dimarco, Giacomo; Mac, Thi Bich Ngoc 17 2014 Local stability of perfect alignment for a spatially homogeneous kinetic model. Zbl 1302.82072Degond, Pierre; Frouvelle, Amic; Raoul, Gaël 9 2014 Phase appearance or disappearance in two-phase flows. Zbl 1302.76114Cordier, Floraine; Degond, Pierre; Kumbaro, Anela 8 2014 Macroscopic models of collective motion and self-organization. Zbl 1319.35267Degond, Pierre; Frouvelle, Amic; Liu, Jian-Guo; Motsch, Sebastien; Navoret, Laurent 5 2014 Flow on sweeping networks. Zbl 1316.35222Degond, Pierre; Herty, Michael; Liu, Jian-Guo 3 2014 Collective dynamics and self-organization: some challenges and an example. Zbl 1356.35246Degond, Pierre; Motsch, Sébastien 2 2014 Macroscopic limits and phase transition in a system of self-propelled particles. Zbl 1275.35019Degond, Pierre; Frouvelle, Amic; Liu, Jian-Guo 44 2013 A hierarchy of heuristic-based models of crowd dynamics. Zbl 1274.91094Degond, P.; Appert-Rolland, C.; Moussaïd, M.; Pettré, J.; Theraulaz, G. 36 2013 Hydrodynamic models of self-organized dynamics: derivation and existence theory. Zbl 1278.35153Degond, Pierre; Liu, Jian-Guo; Motsch, Sebastien; Panferov, Vladislav 32 2013 Vision-based macroscopic pedestrian models. Zbl 1426.76051Degond, Pierre; Appert-Rolland, Cécile; Pettré, Julien; Theraulaz, Guy 24 2013 Asymptotic-preserving schemes for fluid models of plasmas. Zbl 1308.76182Degond, P. 22 2013 Kinetic limits for pair-interaction driven master equations and biological swarm models. Zbl 1294.35173Carlen, Eric; Degond, Pierre; Wennberg, Bernt 20 2013 Self-organized hydrodynamics with congestion and path formation in crowds. Zbl 1286.93026Degond, Pierre; Hua, Jiale 20 2013 Trail formation based on directed pheromone deposition. Zbl 1286.35238Boissard, Emmanuel; Degond, Pierre; Motsch, Sebastien 15 2013 An asymptotic-preserving all-speed scheme for the Euler and Navier-Stokes equations. Zbl 1277.76090Cordier, Floraine; Degond, Pierre; Kumbaro, Anela 73 2012 An asymptotic-preserving method for highly anisotropic elliptic equations based on a micro-macro decomposition. Zbl 1332.65165Degond, Pierre; Lozinski, Alexei; Narski, Jacek; Negulescu, Claudia 27 2012 Numerical approximation of the Euler-Maxwell model in the quasineutral limit. Zbl 1244.82009Degond, P.; Deluzet, F.; Savelief, D. 21 2012 Duality-based asymptotic-preserving method for highly anisotropic diffusion equations. Zbl 1272.65090Degond, Pierre; Deluzet, Fabrice; Lozinski, Alexei; Narski, Jacek; Negulescu, Claudia 20 2012 Hydrodynamics of self-alignment interactions with precession and derivation of the Landau-Lifschitz-Gilbert equation. Zbl 1387.35024Degond, Pierre; Liu, Jian-Guo 13 2012 Fluid simulations with localized Boltzmann upscaling by direct simulation Monte-Carlo. Zbl 1426.76630Degond, Pierre; Dimarco, Giacomo 12 2012 Numerical approximation of the Euler-Poisson-Boltzmann model in the quasineutral limit. Zbl 1395.76047Degond, P.; Liu, H.; Savelief, D.; Vignal, M.-H. 9 2012 Degenerate anisotropic elliptic problems and magnetized plasma simulations. Zbl 1373.76351Brull, Stéphane; Degond, Pierre; Deluzet, Fabrice 2 2012 A discontinuous Galerkin formalism to solve the Maxwell-Vlasov equations. Application to high power microwave sources. Zbl 1247.78048Pebernet, Laura; Ferrieres, Xavier; Mouysset, Vincent; Rogier, François; Degond, Pierre 1 2012 Kinetic formulation and global existence for the Hall-magneto-hydrodynamics system. Zbl 1251.35076Acheritogaray, Marion; Degond, Pierre; Frouvelle, Amic; Liu, Jian-Guo 125 2011 All speed scheme for the low Mach number limit of the isentropic Euler equations. Zbl 1364.76129Degond, Pierre; Tang, Min 75 2011 The moment-guided Monte Carlo method. Zbl 1227.82061Degond, Pierre; Dimarco, Giacomo; Pareschi, Lorenzo 27 2011 Two-way multi-lane traffic model for pedestrians in corridors. Zbl 1260.90051Appert-Rolland, Cécile; Degond, Pierre; Motsch, Sébastien 22 2011 A macroscopic model for a system of swarming agents using curvature control. Zbl 1222.82071Degond, Pierre; Motsch, Sébastien 18 2011 Numerical simulations of the Euler system with congestion constraint. Zbl 1408.76379Degond, Pierre; Hua, Jiale; Navoret, Laurent 17 2011 Asymptotic-preserving scheme for a bi-fluid Euler-Lorentz model. Zbl 1241.35150Brull, Stéphane; Degond, Pierre; Deluzet, Fabrice; Mouton, Alexandre 4 2011 A hierarchy of models related to nanoflows and surface diffusion. Zbl 1218.82029Aoki, Kazuo; Charrier, Pierre; Degond, Pierre 2 2011 Hybrid model for the coupling of an asymptotic preserving scheme with the asymptotic limit model: the one dimensional case. Zbl 1235.76063Degond, Pierre; Deluzet, Fabrice; Maldarella, Dario; Narski, Jacek; Negulescu, Claudia; Parisot, Martin 1 2011 A multiscale kinetic-fluid solver with dynamic localization of kinetic effects. Zbl 1346.82035Degond, Pierre; Dimarco, Giacomo; Mieussens, Luc 28 2010 An asymptotic preserving scheme for strongly anisotropic elliptic problems. Zbl 1190.35216Degond, Pierre; Deluzet, Fabrice; Negulescu, Claudia 27 2010 Diffusion in a continuum model of self-propelled particles with alignment interaction. Zbl 1420.76006Degond, Pierre; Yang, Tong 26 2010 Asymptotic-preserving particle-in-cell method for the Vlasov-Poisson system near quasineutrality. Zbl 1346.82034Degond, Pierre; Deluzet, Fabrice; Navoret, Laurent; Sun, An-Bang; Vignal, Marie-Hélène 22 2010 Congestion in a macroscopic model of self-driven particles modeling gregariousness. Zbl 1187.82086Degond, Pierre; Navoret, Laurent; Bon, Richard; Sanchez, David 8 2010 An asymptotic preserving scheme for the Euler equations in a strong magnetic field. Zbl 1396.76067Degond, P.; Deluzet, F.; Sangam, A.; Vignal, M.-H. 24 2009 Kinetic models for polymers with inertial effects. Zbl 1183.76614Degond, Pierre; Liu, Hailiang 12 2009 An asymptotically stable semi-Lagrangian scheme in the quasi-neutral limit. Zbl 1203.65217Belaouar, R.; Crouseilles, N.; Degond, P.; Sonnendrücker, E. 12 2009 Numerical simulations of rarefied gases in curved channels: thermal creep, circulating flow, and pumping effect. Zbl 1364.76168Aoki, Kazuo; Degond, Pierre; Mieussens, Luc 10 2009 A strong ionization model in plasma physics. Zbl 1165.82321Choquet, Isabelle; Degond, Pierre; Lucquin-Desreux, Brigitte 1 2009 Continuum limit of self-driven particles with orientation interaction. Zbl 1157.35492Degond, Pierre; Motsch, Sébastien 167 2008 Large scale dynamics of the persistent turning Walker model of fish behavior. Zbl 1214.82075Degond, Pierre; Motsch, Sébastien 83 2008 A model for the formation and evolution of traffic jams. Zbl 1153.90003Berthelin, F.; Degond, P.; Delitala, M.; Rascle, M. 61 2008 A traffic-flow model with constraints for the modeling of traffic jams. Zbl 1197.35159Berthelin, Florent; Degond, Pierre; le Blanc, Valerie; Moutari, Salissou; Rascle, Michel; Royer, Julien 30 2008 On the time splitting spectral method for the complex Ginzburg-Landau equation in the large time and space scale limit. Zbl 1176.35170Degond, Pierre; Jin, Shi; Tang, Min 14 2008 Modelling and simulation of vehicular traffic jam formation. Zbl 1153.90356Degond, Pierre; Delitala, Marcello 14 2008 Analysis of an asymptotic preserving scheme for the Euler-Poisson system in the quasineutral limit. Zbl 1173.82032Degond, Pierre; Liu, Jian-Guo; Vignal, Marie-Hélène 13 2008 Quantum hydrodynamic and diffusion models derived from the entropy principle. Zbl 1173.82335Degond, Pierre; Gallego, Samy; Méhats, Florian; Ringhofer, Christian 5 2008 A diffusion model for rarefied flows in curved channels. Zbl 1149.76045Aoki, K.; Degond, P.; Mieussens, L.; Takata, S.; Yoshida, H. 2 2008 Derivation of a kinetic model from a stochastic particle system. Zbl 1160.82334Degond, Pierre; Goettlich, Simone; Klar, Axel; Seaid, Mohammed; Unterreiter, Andreas 1 2008 ...and 151 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,353 Authors 126 Degond, Pierre 73 Ha, Seung-Yeal 45 Carrillo de la Plata, José Antonio 34 Pareschi, Lorenzo 33 Bellomo, Nicola 33 Jüngel, Ansgar 29 Dimarco, Giacomo 27 Herty, Michael Matthias 23 Göttlich, Simone 23 Lemou, Mohammed 23 Wang, Shu 22 Markowich, Peter Alexander 21 Crouseilles, Nicolas 21 Jin, Shi 20 Bostan, Mihai 20 Méhats, Florian 20 Zhang, Kaijun 19 Goudon, Thierry 19 Li, Yeping 19 Liu, Jianguo 18 Ben Abdallah, Naoufel 18 Peng, Yuejun 18 Schmeiser, Christian 18 Zhang, Xianwen 17 Ciarlet, Patrick jun. 17 Perthame, Benoît 17 Romano, Vittorio 16 Filbet, Francis 16 Motsch, Sébastien 16 Negulescu, Claudia 16 Park, Hansol 15 Assous, Franck 15 Sonnendrücker, Eric 15 Vignal, Marie-Hélène 15 Yu, Hongjun 15 Zhou, Yong 14 Brezzi, Franco 14 Deluzet, Fabrice 14 Fan, Jishan 14 Martínez Gamba, Irene 14 Klar, Axel 14 Zatorska, Ewelina 13 Bianca, Carlo 13 Chacón, Luis 13 Chen, Li 13 Hsiao, Ling 13 Mieussens, Luc 12 Barletti, Luigi 12 Cordier, Stéphane 12 Duan, Renjun 12 Kim, Jeongho 12 Li, Hailiang 12 Mei, Ming 12 Mellet, Antoine 12 Pinaud, Olivier 12 Ringhofer, Christian A. 12 Shu, Chi-Wang 12 Yang, Jianwei 12 Zanella, Mattia 11 Arnold, Anton 11 Blokhin, Aleksandr Mikhaĭlovich 11 Chae, Dongho 11 Han-Kwan, Daniel 11 Lukáčová-Medvid’ová, Mária 11 Masmoudi, Nader 11 Merino-Aceituno, Sara 11 Russo, Giovanni 11 Soler, Juan S. 11 Zhang, Xiongtao 10 Banasiak, Jacek 10 Burger, Martin 10 Desvillettes, Laurent 10 Ko, Dongnam 10 Mouhot, Clément 10 Navoret, Laurent 10 Piccoli, Benedetto 10 Puppo, Gabriella 10 Schütz, Jochen 10 Toscani, Giuseppe 10 Wolfram, Marie-Therese 10 Yu, Huimin 9 Boscheri, Walter 9 Dumbser, Michael 9 Glassey, Robert T. 9 Hwang, Hyung Ju 9 Koumoutsakos, Petros D. 9 Loubère, Raphaël 9 Lucquin-Desreux, Brigitte 9 Marcati, Pierangelo 9 Munz, Claus-Dieter 9 Peurichard, Diane 9 Poupaud, Frédéric 9 Shim, Woojoo 9 Tiwari, Sudarshan 9 Villani, Cédric 9 Wang, Li 9 Yamazaki, Kazuo 9 Zhang, Guojing 8 Albi, Giacomo 8 Buet, Christophe ...and 2,253 more Authors all top 5 Cited in 273 Serials 288 Journal of Computational Physics 158 M\(^3\)AS. 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Zeitschrift für Angewandte Mathematik und Mechanik 8 SIAM Journal on Applied Dynamical Systems 8 Mathematical Biosciences and Engineering 7 NoDEA. Nonlinear Differential Equations and Applications 7 Journal of Theoretical Biology 6 Journal of Fluid Mechanics 6 Physica A 6 COMPEL 6 Calculus of Variations and Partial Differential Equations 6 European Journal of Mechanics. B. Fluids 6 Communications in Nonlinear Science and Numerical Simulation 6 Analysis and Applications (Singapore) 6 Discrete and Continuous Dynamical Systems. Series S 6 Science China. Mathematics 5 Mathematics and Computers in Simulation 5 Chinese Annals of Mathematics. Series B 5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 5 Physics of Fluids 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 Journal of Computational and Theoretical Transport 4 International Journal for Numerical Methods in Fluids 4 Bulletin of Mathematical Biology 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Inventiones Mathematicae 4 SIAM Journal on Control and Optimization 4 Bulletin of the Korean Mathematical Society 4 Applications of Mathematics 4 Computational and Applied Mathematics 4 Bulletin des Sciences Mathématiques 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Vietnam Journal of Mathematics 4 Abstract and Applied Analysis 4 Chaos 4 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 4 Journal of Evolution Equations 4 Foundations of Computational Mathematics 4 Oberwolfach Reports 4 Boundary Value Problems 4 Communications in Applied and Industrial Mathematics 4 Nonlinear Analysis. Theory, Methods & Applications 4 Journal de l’École Polytechnique – Mathématiques 4 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 3 Communications on Pure and Applied Mathematics ...and 173 more Serials all top 5 Cited in 44 Fields 1,434 Partial differential equations (35-XX) 941 Fluid mechanics (76-XX) 849 Statistical mechanics, structure of matter (82-XX) 586 Numerical analysis (65-XX) 246 Biology and other natural sciences (92-XX) 200 Optics, electromagnetic theory (78-XX) 107 Operations research, mathematical programming (90-XX) 93 Probability theory and stochastic processes (60-XX) 91 Ordinary differential equations (34-XX) 91 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 87 Quantum theory (81-XX) 58 Integral equations (45-XX) 55 Mechanics of particles and systems (70-XX) 52 Calculus of variations and optimal control; optimization (49-XX) 49 Systems theory; control (93-XX) 48 Mechanics of deformable solids (74-XX) 47 Dynamical systems and ergodic theory (37-XX) 47 Operator theory (47-XX) 33 Classical thermodynamics, heat transfer (80-XX) 27 Astronomy and astrophysics (85-XX) 25 Relativity and gravitational theory (83-XX) 14 General and overarching topics; collections (00-XX) 12 Global analysis, analysis on manifolds (58-XX) 12 Computer science (68-XX) 11 Real functions (26-XX) 11 Geophysics (86-XX) 10 Approximations and expansions (41-XX) 10 Differential geometry (53-XX) 10 Statistics (62-XX) 8 Combinatorics (05-XX) 8 Functional analysis (46-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 6 Information and communication theory, circuits (94-XX) 4 Measure and integration (28-XX) 4 Difference and functional equations (39-XX) 3 Topological groups, Lie groups (22-XX) 3 Special functions (33-XX) 3 Integral transforms, operational calculus (44-XX) 3 General topology (54-XX) 2 Nonassociative rings and algebras (17-XX) 2 Functions of a complex variable (30-XX) 2 Manifolds and cell complexes (57-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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