Edit Profile Degond, Pierre Compute Distance To: Compute Author ID: degond.pierre Published as: Degond, P.; Degond, Pierre Homepage: http://www.imperial.ac.uk/people/p.degond External Links: MGP · Wikidata · dblp · GND Documents Indexed: 282 Publications since 1983, including 6 Books 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 9 Poupaud, Frédéric 8 Aoki, Kazuo 8 Frouvelle, Amic 8 Lucquin-Desreux, Brigitte 8 Merino-Aceituno, Sara 8 Navoret, Laurent 7 Cordier, Stéphane 7 Dimarco, Giacomo 7 Jüngel, Ansgar 7 Mustieles, Francisco-José 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 Castella, François 5 Crispel, Pierre 5 Lozinski, Alexei 5 Peurichard, Diane 4 Carrillo de la Plata, José Antonio 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 Armbruster, Dieter 3 Arnold, Anton 3 Assous, Franck 3 Brull, Stephane 3 Claudel, Jean 3 Delaurens, Frédérique 3 Gallice, Gérard 3 Herty, Michael Matthias 3 Hua, Jiale 3 Latocha, Vladimir 3 Levermore, C. David 3 Mas-Gallic, Sylvie 3 Peyrard, Pierre-François 3 Segré, Jacques 3 Tadmor, Eitan 3 Tessieras, Christian 3 Wennberg, Bernt 3 Yang, Tong 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 Casteilla, L. 2 Cordier, Floraine 2 Delebecque, Fanny 2 Delitala, Marcello 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 Lorsignol, A. 2 Mac, Thi Bich Ngoc 2 Manhart, Angelika 2 Mellet, Antoine 2 Minakowski, Piotr 2 Moussaid, Mehdi 2 Mouton, Alexandre 2 Muljadi, Bagus Putra 2 Nier, Francis 2 Pareschi, Lorenzo 2 Pego, Robert L. 2 Picasso, Marco ...and 94 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 7 Transport Theory and Statistical Physics 7 Communications in Mathematical Sciences 7 Networks and Heterogeneous Media 6 SIAM Journal on Applied Mathematics 5 Mathematical Methods in the Applied Sciences 5 Asymptotic Analysis 5 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 4 Archive for Rational Mechanics and Analysis 4 Journal of Mathematical Physics 4 Journal of Nonlinear Science 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 Nonlinearity 2 Mathematics of Computation 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 Journal of Mathematical Biology 1 Bulletin of Mathematical Biology 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 Mathematical Biosciences and Engineering 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 157 Statistical mechanics, structure of matter (82-XX) 141 Partial differential equations (35-XX) 129 Fluid mechanics (76-XX) 62 Numerical analysis (65-XX) 41 Biology and other natural sciences (92-XX) 38 Optics, electromagnetic theory (78-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 Integral equations (45-XX) 13 Quantum theory (81-XX) 12 Operations research, mathematical programming (90-XX) 9 General and overarching topics; collections (00-XX) 9 Probability theory and stochastic processes (60-XX) 7 Mechanics of deformable solids (74-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Approximations and expansions (41-XX) 6 Mechanics of particles and systems (70-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) 2 History and biography (01-XX) 2 Calculus of variations and optimal control; optimization (49-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 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 245 Publications have been cited 3,532 times in 1,916 Documents Cited by ▼ Year ▼ Continuum limit of self-driven particles with orientation interaction. Zbl 1157.35492Degond, Pierre; Motsch, Sébastien 143 2008 Kinetic formulation and global existence for the Hall-magneto-hydrodynamics system. Zbl 1251.35076Acheritogaray, Marion; Degond, Pierre; Frouvelle, Amic; Liu, Jian-Guo 93 2011 Global existence for the Vlasov-Poisson equation in 3 space variables with small initial data. Zbl 0593.35076Bardos, C.; Degond, P. 93 1985 On a one-dimensional steady-state hydrodynamic model for semiconductors. Zbl 0736.35129Degond, P.; Markowich, P. A. 90 1990 On a hierarchy of macroscopic models for semiconductors. Zbl 0868.45006Ben Abdallah, N.; Degond, P. 89 1996 Well-posedness for Hall-magnetohydrodynamics. Zbl 1297.35064Chae, Dongho; Degond, Pierre; Liu, Jian-Guo 87 2014 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. 74 1993 The weighted particle method for convection-diffusion equations. I: The case of an isotropic viscosity. Zbl 0676.65121Degond, P.; Mas-Gallic, S. 67 1989 The Fokker-Planck asymptotics of the Boltzmann collision operator in the Coulomb case. Zbl 0755.35091Degond, P.; Lucquin-Desreux, B. 60 1992 Large scale dynamics of the persistent turning Walker model of fish behavior. Zbl 1214.82075Degond, Pierre; Motsch, Sébastien 58 2008 An asymptotic-preserving all-speed scheme for the Euler and Navier-Stokes equations. Zbl 1277.76090Cordier, Floraine; Degond, Pierre; Kumbaro, Anela 52 2012 All speed scheme for the low Mach number limit of the isentropic Euler equations. Zbl 1364.76129Degond, Pierre; Tang, Min 52 2011 A model for the formation and evolution of traffic jams. Zbl 1153.90003Berthelin, F.; Degond, P.; Delitala, M.; Rascle, M. 52 2008 Quantum moment hydrodynamics and the entropy principle. Zbl 1035.82028Degond, P.; Ringhofer, C. 49 2003 A steady state potential flow model for semiconductors. Zbl 0808.35150Degond, Pierre; Markowich, Peter A. 49 1993 Quantum energy-transport and drift-diffusion models. Zbl 1126.82314Degond, Pierre; Méhats, Florian; Ringhofer, Christian 48 2005 Global existence of smooth solutions for the Vlasov-Fokker-Planck equation in 1 and 2 space dimensions. Zbl 0619.35087Degond, Pierre 46 1986 An energy-transport model for semiconductors derived from the Boltzmann equation. Zbl 1081.82610Ben Abdallah, N.; Degond, P.; Genieys, S. 44 1996 Dispersion relations for the linearized Fokker-Planck equation. Zbl 0888.35084Degond, P.; Lemou, M. 40 1997 A model for the dynamics of large queuing networks and supply chains. Zbl 1107.90002Armbruster, D.; Degond, P.; Ringhofer, C. 39 2006 On a one-dimensional Schrödinger-Poisson scattering model. Zbl 0885.34067Ben Abdallah, Naoufel; Degond, Pierre; Markowich, Peter A. 39 1997 Diffusion limit for non homogeneous and non-micro-reversible processes. Zbl 0971.82035Degond, P.; Goudon, T.; Poupaud, F. 37 2000 Macroscopic limits and phase transition in a system of self-propelled particles. Zbl 1275.35019Degond, Pierre; Frouvelle, Amic; Liu, Jian-Guo 36 2013 An asymptotic preserving scheme for the two-fluid Euler-Poisson model in the quasineutral limit. Zbl 1163.76062Crispel, Pierre; Degond, Pierre; Vignal, Marie-Hélène 36 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. 34 1986 A deterministic approximation of diffusion equations using particles. Zbl 0713.65090Degond, Pierre; Mustieles, Francisco-José 33 1990 Macroscopic limit of self-driven particles with orientation interaction. Zbl 1206.82068Degond, Pierre; Motsch, Sébastien 32 2007 Fast algorithms for numerical, conservative, and entropy approximations of the Fokker-Planck-Landau equation. Zbl 0880.65112Buet, C.; Cordier, S.; Degond, P.; Lemou, M. 32 1997 A hierarchy of heuristic-based models of crowd dynamics. Zbl 1274.91094Degond, P.; Appert-Rolland, C.; Moussaïd, M.; Pettré, J.; Theraulaz, G. 30 2013 A smooth transition model between kinetic and hydrodynamic equations. Zbl 1138.82324Degond, Pierre; Jin, Shi; Mieussens, Luc 30 2005 Phase transitions, hysteresis, and hyperbolicity for self-organized alignment dynamics. Zbl 1311.82017Degond, Pierre; Frouvelle, Amic; Liu, Jian-Guo 29 2015 A model hierarchy for ionospheric plasma modeling. Zbl 1177.76456Besse, Christophe; Degond, Pierre; Deluzet, Fabrice; Claudel, Jean; Gallice, Gérard; Tessieras, Christian 29 2004 Mathematical modelling of microelectronics semiconductor devices. Zbl 0956.35121Degond, Pierre 29 2000 A system of parabolic equations in nonequilibrium thermodynamics including thermal and electrical effects. Zbl 0907.35059Degond, Pierre; Génieys, Stéphane; Jüngel, Ansgar 29 1997 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 27 2008 Schémas décentrés polynomiaux pour les systèmes hyperboliques. Zbl 0933.65101Degond, Pierre; Peyrard, Pierre-François; Russo, Giovanni; Villedieux, Philippe 27 1999 The asymptotics of collision operators for two species of particles of disparate masses. Zbl 0853.76079Degond, Pierre; Lucquin-Desreux, Brigitte 27 1996 Hydrodynamic models of self-organized dynamics: derivation and existence theory. Zbl 1278.35153Degond, Pierre; Liu, Jian-Guo; Motsch, Sebastien; Panferov, Vladislav 26 2013 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 25 2012 A multiscale kinetic-fluid solver with dynamic localization of kinetic effects. Zbl 1346.82035Degond, Pierre; Dimarco, Giacomo; Mieussens, Luc 25 2010 An asymptotic preserving scheme for strongly anisotropic elliptic problems. Zbl 1190.35216Degond, Pierre; Deluzet, Fabrice; Negulescu, Claudia 25 2010 Diffusion in a continuum model of self-propelled particles with alignment interaction. Zbl 1420.76006Degond, Pierre; Yang, Tong 24 2010 The moment-guided Monte Carlo method. Zbl 1227.82061Degond, Pierre; Dimarco, Giacomo; Pareschi, Lorenzo 23 2011 Mach-number uniform asymptotic-preserving gauge schemes for compressible flows. Zbl 1210.76135Degond, P.; Jin, S.; Liu, J.-G. 23 2007 Transport coefficients of plasmas and disparate mass binary gases. Zbl 0909.35108Degond, Pierre; Lucquin-Desreux, Brigitte 23 1996 An entropy scheme for the Fokker-Planck collision operator of plasma kinetic theory. Zbl 0806.65133Degond, Pierre; Lucquin-Desreux, Brigitte 23 1994 Existence of solutions and diffusion approximation for a model Fokker- Planck equation. Zbl 0649.76065Degond, Pierre; Mas-Gallic, Sylvie 23 1987 A new flocking model through body attitude coordination. Zbl 1372.35308Degond, Pierre; Frouvelle, Amic; Merino-Aceituno, Sara 22 2017 A smooth transition model between kinetic and diffusion equations. Zbl 1086.82005Degond, Pierre; Jin, Shi 22 2005 Large-scale dynamics of mean-field games driven by local Nash equilibria. Zbl 1295.91015Degond, Pierre; Liu, Jian-Guo; Ringhofer, Christian 21 2014 Vision-based macroscopic pedestrian models. Zbl 1426.76051Degond, Pierre; Appert-Rolland, Cécile; Pettré, Julien; Theraulaz, Guy 21 2013 An asymptotic preserving scheme for the Euler equations in a strong magnetic field. Zbl 1396.76067Degond, P.; Deluzet, F.; Sangam, A.; Vignal, M.-H. 21 2009 Numerical discretization of energy-transport models for semiconductors with nonparabolic band structure. Zbl 1049.82074Degond, Pierre; Jüngel, Ansgar; Pietra, Paola 21 2000 An analysis of the Darwin model of approximation to Maxwell’s equations. Zbl 0755.35137Degond, Pierre; Raviart, Pierre-Arnaud 21 1992 A steady-state system in non-equilibrium thermodynamics including thermal and electrical effects. Zbl 0935.35046Degond, Pierre; Génieys, Stéphane; Jüngel, Ansgar 20 1998 Two-way multi-lane traffic model for pedestrians in corridors. Zbl 1260.90051Appert-Rolland, Cécile; Degond, Pierre; Motsch, Sébastien 19 2011 A hybrid kinetic/fluid model for solving the gas dynamics Boltzmann-BGK equation. Zbl 1059.76058Crouseilles, N.; Degond, P.; Lemou, M. 19 2004 Self-organized hydrodynamics with congestion and path formation in crowds. Zbl 1286.93026Degond, Pierre; Hua, Jiale 18 2013 Duality-based asymptotic-preserving method for highly anisotropic diffusion equations. Zbl 1272.65090Degond, Pierre; Deluzet, Fabrice; Lozinski, Alexei; Narski, Jacek; Negulescu, Claudia 18 2012 Numerical approximation of the Euler-Maxwell model in the quasineutral limit. Zbl 1244.82009Degond, P.; Deluzet, F.; Savelief, D. 18 2012 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 18 2010 Macroscopic limits of the Boltzmann equation: a review. Zbl 1106.82030Degond, Pierre 18 2004 Evolution of the distribution of wealth in an economic environment driven by local Nash equilibria. Zbl 1298.91104Degond, Pierre; Liu, Jian-Guo; Ringhofer, Christian 17 2014 The weighted particle method for convection-diffusion equations. II: The anisotropic case. Zbl 0676.65122Degond, P.; Mas-Gallic, S. 17 1989 Deterministic particle simulations of the Boltzmann transport equation of semiconductors. Zbl 0662.65126Niclot, B.; Degond, P.; Poupaud, F. 17 1988 Spectral theory of the linearized Vlasov-Poisson equation. Zbl 0604.35063Degond, Pierre 17 1986 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 16 2016 Evolution of wealth in a non-conservative economy driven by local Nash equilibria. Zbl 1353.91051Degond, Pierre; Liu, Jian-Guo; Ringhofer, Christian 16 2014 Phase transition and diffusion among socially interacting self-propelled agents. Zbl 1304.35412Barbaro, Alethea B. T.; Degond, Pierre 16 2014 Kinetic limits for pair-interaction driven master equations and biological swarm models. Zbl 1294.35173Carlen, Eric; Degond, Pierre; Wennberg, Bernt 16 2013 A moving interface method for dynamic kinetic-fluid coupling. Zbl 1388.76335Degond, Pierre; Dimarco, Giacomo; Mieussens, Luc 16 2007 Macroscopic fluid models with localized kinetic upscaling effects. Zbl 1147.82331Degond, Pierre; Liu, Jian-Guo; Mieussens, Luc 16 2006 An asymptotic analysis of the one-dimensional Vlasov-Poisson system: The Child-Langmuir law. Zbl 0840.35082Degond, P.; Raviart, P. A. 16 1991 Asymptotic-preserving schemes for fluid models of plasmas. Zbl 1308.76182Degond, P. 15 2013 Modelling and simulation of vehicular traffic jam formation. Zbl 1153.90356Degond, Pierre; Delitala, Marcello 15 2008 Modeling and computational methods for kinetic equations. Zbl 1054.76004Degond, Pierre (ed.); Pareschi, Lorenzo (ed.); Russo, Giovanni (ed.) 15 2004 A coupled Schrödinger drift-diffusion model for quantum semiconductor device simulations. Zbl 1008.82033Degond, P.; El Ayyadi, A. 15 2002 A macroscopic model for a system of swarming agents using curvature control. Zbl 1222.82071Degond, Pierre; Motsch, Sébastien 14 2011 Macroscopic models for semiconductor heterostructures. Zbl 0938.82049Degond, P.; Schmeiser, C. 14 1998 Hydrodynamics of the Kuramoto-Vicsek model of rotating self-propelled particles. Zbl 1285.35120Degond, Pierre; Dimarco, Giacomo; Mac, Thi Bich Ngoc 13 2014 On the asymptotic limit of the three dimensional Vlasov-Poisson system for large magnetic field: formal derivation. Zbl 1360.35280Degond, Pierre; Filbet, Francis 12 2016 Hydrodynamics of self-alignment interactions with precession and derivation of the Landau-Lifschitz-Gilbert equation. Zbl 1387.35024Degond, Pierre; Liu, Jian-Guo 12 2012 Numerical simulations of the Euler system with congestion constraint. Zbl 1408.76379Degond, Pierre; Hua, Jiale; Navoret, Laurent 12 2011 An asymptotically stable semi-Lagrangian scheme in the quasi-neutral limit. Zbl 1203.65217Belaouar, R.; Crouseilles, N.; Degond, P.; Sonnendrücker, E. 12 2009 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 12 2008 An entropic quantum drift-diffusion model for electron transport in resonant tunneling diodes. Zbl 1107.82401Degond, Pierre; Gallego, Samy; Méhats, Florian 12 2007 Coupling one-dimensional time-dependent classical and quantum transport models. Zbl 1052.82027Ben Abdallah, N.; Degond, P.; Gamba, I. M. 12 2002 The Child-Langmuir law for the Boltzmann equation of semiconductors. Zbl 0828.35131Ben Abdallah, Naoufel; Degond, Pierre 12 1995 Quaternions in collective dynamics. Zbl 1382.35310Degond, Pierre; Frouvelle, Amic; Merino-Aceituno, Sara; Trescases, Ariane 11 2018 Macroscopic models of collective motion with repulsion. Zbl 1334.35351Degond, Pierre; Dimarco, Giacomo; Mac, Thi Bich Ngoc; Wang, Nan 11 2015 Fluid simulations with localized Boltzmann upscaling by direct simulation Monte-Carlo. Zbl 1426.76630Degond, Pierre; Dimarco, Giacomo 11 2012 Kinetic models for polymers with inertial effects. Zbl 1183.76614Degond, Pierre; Liu, Hailiang 11 2009 Isothermal quantum hydrodynamics: derivation, asymptotic analysis, and simulation. Zbl 1135.82019Degond, P.; Gallego, S.; Méhats, F. 11 2007 Stochastic dynamics of long supply chains with random breakdowns. Zbl 1144.90314Degond, P.; Ringhofer, C. 11 2007 Quasi-neutral fluid models for current-carrying plasmas. Zbl 1087.82022Crispel, Pierre; Degond, Pierre; Vignal, Marie-Hélène 11 2005 High field approximations of the spherical harmonics expansion model for semiconductors. Zbl 1174.82345Ben Abdallah, N.; Degond, P.; Markowich, P.; Schmeiser, C. 11 2001 On the paraxial approximation of the stationary Vlasov-Maxwell system. Zbl 0787.35110Degond, P.; Raviart, P. A. 11 1993 Coagulation-fragmentation model for animal group-size statistics. Zbl 1382.92260Degond, Pierre; Liu, Jian-Guo; Pego, Robert L. 10 2017 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 10 2008 Diffusion models for Knudsen compressors. Zbl 1182.76027Aoki, Kazuo; Degond, Pierre; Takata, Shigeru; Yoshida, Hiroaki 10 2007 Incompressible limit of a continuum model of tissue growth for two cell populations. Zbl 1445.35285Degond, Pierre; Hecht, Sophie; Vauchelet, Nicolas 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 2 2019 Coupled self-organized hydrodynamics and Stokes models for suspensions of active particles. Zbl 1420.35232Degond, Pierre; Merino-Aceituno, Sara; Vergnet, Fabien; Yu, Hui 2 2019 Propagation of chaos for topological interactions. Zbl 07120717Degond, P.; Pulvirenti, M. 1 2019 Active particles, Volume 2. Advances in theory, models, and applications. Zbl 1427.74004Bellomo, Nicola (ed.); Degond, Pierre (ed.); Tadmor, Eitan (ed.) 1 2019 Quaternions in collective dynamics. Zbl 1382.35310Degond, Pierre; Frouvelle, Amic; Merino-Aceituno, Sara; Trescases, Ariane 11 2018 Particle interactions mediated by dynamical networks: assessment of macroscopic descriptions. Zbl 1382.82028Barré, Julien; Carrillo, J. A.; Degond, P.; Peurichard, Diane; Zatorska, E. 7 2018 Finite volume approximations of the Euler system with variable congestion. Zbl 1410.76216Degond, Pierre; Minakowski, Piotr; Navoret, Laurent; Zatorska, Ewelina 5 2018 Transport of congestion in two-phase compressible/incompressible flows. Zbl 06889448Degond, Pierre; Minakowski, Piotr; Zatorska, Ewelina 4 2018 An age-structured continuum model for myxobacteria. Zbl 1414.35234Degond, Pierre; Manhart, Angelika; Yu, Hui 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 1 2018 Pedestrian models based on rational behaviour. Zbl 1410.91376Bailo, Rafael; Carrillo, José A.; Degond, Pierre 1 2018 A new flocking model through body attitude coordination. Zbl 1372.35308Degond, Pierre; Frouvelle, Amic; Merino-Aceituno, Sara 22 2017 Coagulation-fragmentation model for animal group-size statistics. Zbl 1382.92260Degond, Pierre; Liu, Jian-Guo; Pego, Robert L. 10 2017 Mean-field games and model predictive control. Zbl 1383.93029Degond, Pierre; Herty, Michael; Liu, Jian-Guo 9 2017 Active particles, Volume 1. Advances in theory, models, and applications. Zbl 1368.00045Bellomo, Nicola (ed.); Degond, Pierre (ed.); Tadmor, Eitan (ed.) 9 2017 Asymptotic-preserving methods and multiscale models for plasma physics. Zbl 1375.82108Degond, Pierre; Deluzet, Fabrice 8 2017 A continuum model for nematic alignment of self-propelled particles. Zbl 1360.35118Yu, Hui; Manhart, Angelika; Degond, Pierre 8 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. 6 2017 Kinetic models for topological nearest-neighbor interactions. Zbl 1380.82032Blanchet, Adrien; Degond, Pierre 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 Asymptotic-preserving particle-in-cell methods for the Vlasov-Maxwell system in the quasi-neutral limit. Zbl 1378.76091Degond, P.; Deluzet, F.; Doyen, D. 3 2017 Damped Arrow-Hurwicz algorithm for sphere packing. Zbl 1378.65121Degond, Pierre; Ferreira, Marina A.; Motsch, Sebastien 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 An asymptotic-preserving method for a relaxation of the Navier-Stokes-Korteweg equations. Zbl 1375.76121Chertock, Alina; Degond, Pierre; Neusser, Jochen 1 2017 Numerical approximation of a coagulation-fragmentation model for animal group size statistics. Zbl 1365.45003Engel, Maximilian; 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 16 2016 On the asymptotic limit of the three dimensional Vlasov-Poisson system for large magnetic field: formal derivation. Zbl 1360.35280Degond, Pierre; Filbet, Francis 12 2016 Continuum model for linked fibers with alignment interactions. Zbl 1341.82057Degond, Pierre; Delebecque, Fanny; Peurichard, Diane 8 2016 Topological interactions in a Boltzmann-type framework. Zbl 1352.92182Blanchet, Adrien; Degond, Pierre 7 2016 Phase transitions, hysteresis, and hyperbolicity for self-organized alignment dynamics. Zbl 1311.82017Degond, Pierre; Frouvelle, Amic; Liu, Jian-Guo 29 2015 Macroscopic models of collective motion with repulsion. Zbl 1334.35351Degond, Pierre; Dimarco, Giacomo; Mac, Thi Bich Ngoc; Wang, Nan 11 2015 A multi-layer model for self-propelled disks interacting through alignment and volume exclusion. Zbl 1328.35247Degond, Pierre; Navoret, Laurent 8 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. 7 2015 A Boltzmann model for rod alignment and schooling fish. Zbl 1320.35251Carlen, Eric; Carvalho, Maria C.; Degond, Pierre; Wennberg, Bernt 7 2015 Self-organized hydrodynamics in an annular domain: modal analysis and nonlinear effects. Zbl 1311.35149Degond, Pierre; Yu, Hui 5 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 4 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 3 2015 Well-posedness for Hall-magnetohydrodynamics. Zbl 1297.35064Chae, Dongho; Degond, Pierre; Liu, Jian-Guo 87 2014 Large-scale dynamics of mean-field games driven by local Nash equilibria. Zbl 1295.91015Degond, Pierre; Liu, Jian-Guo; Ringhofer, Christian 21 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 17 2014 Evolution of wealth in a non-conservative economy driven by local Nash equilibria. Zbl 1353.91051Degond, Pierre; Liu, Jian-Guo; Ringhofer, Christian 16 2014 Phase transition and diffusion among socially interacting self-propelled agents. Zbl 1304.35412Barbaro, Alethea B. T.; Degond, Pierre 16 2014 Hydrodynamics of the Kuramoto-Vicsek model of rotating self-propelled particles. Zbl 1285.35120Degond, Pierre; Dimarco, Giacomo; Mac, Thi Bich Ngoc 13 2014 Phase appearance or disappearance in two-phase flows. Zbl 1302.76114Cordier, Floraine; Degond, Pierre; Kumbaro, Anela 7 2014 Macroscopic models of collective motion and self-organization. Zbl 1319.35267Degond, Pierre; Frouvelle, Amic; Liu, Jian-Guo; Motsch, Sebastien; Navoret, Laurent 6 2014 Local stability of perfect alignment for a spatially homogeneous kinetic model. Zbl 1302.82072Degond, Pierre; Frouvelle, Amic; Raoul, Gaël 4 2014 Collective dynamics and self-organization: some challenges and an example. Zbl 1356.35246Degond, Pierre; Motsch, Sébastien 2 2014 Flow on sweeping networks. Zbl 1316.35222Degond, Pierre; Herty, Michael; Liu, Jian-Guo 2 2014 Macroscopic limits and phase transition in a system of self-propelled particles. Zbl 1275.35019Degond, Pierre; Frouvelle, Amic; Liu, Jian-Guo 36 2013 A hierarchy of heuristic-based models of crowd dynamics. Zbl 1274.91094Degond, P.; Appert-Rolland, C.; Moussaïd, M.; Pettré, J.; Theraulaz, G. 30 2013 Hydrodynamic models of self-organized dynamics: derivation and existence theory. Zbl 1278.35153Degond, Pierre; Liu, Jian-Guo; Motsch, Sebastien; Panferov, Vladislav 26 2013 Vision-based macroscopic pedestrian models. Zbl 1426.76051Degond, Pierre; Appert-Rolland, Cécile; Pettré, Julien; Theraulaz, Guy 21 2013 Self-organized hydrodynamics with congestion and path formation in crowds. Zbl 1286.93026Degond, Pierre; Hua, Jiale 18 2013 Kinetic limits for pair-interaction driven master equations and biological swarm models. Zbl 1294.35173Carlen, Eric; Degond, Pierre; Wennberg, Bernt 16 2013 Asymptotic-preserving schemes for fluid models of plasmas. Zbl 1308.76182Degond, P. 15 2013 Trail formation based on directed pheromone deposition. Zbl 1286.35238Boissard, Emmanuel; Degond, Pierre; Motsch, Sebastien 9 2013 An asymptotic-preserving all-speed scheme for the Euler and Navier-Stokes equations. Zbl 1277.76090Cordier, Floraine; Degond, Pierre; Kumbaro, Anela 52 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 25 2012 Duality-based asymptotic-preserving method for highly anisotropic diffusion equations. Zbl 1272.65090Degond, Pierre; Deluzet, Fabrice; Lozinski, Alexei; Narski, Jacek; Negulescu, Claudia 18 2012 Numerical approximation of the Euler-Maxwell model in the quasineutral limit. Zbl 1244.82009Degond, P.; Deluzet, F.; Savelief, D. 18 2012 Hydrodynamics of self-alignment interactions with precession and derivation of the Landau-Lifschitz-Gilbert equation. Zbl 1387.35024Degond, Pierre; Liu, Jian-Guo 12 2012 Fluid simulations with localized Boltzmann upscaling by direct simulation Monte-Carlo. Zbl 1426.76630Degond, Pierre; Dimarco, Giacomo 11 2012 Numerical approximation of the Euler-Poisson-Boltzmann model in the quasineutral limit. Zbl 1395.76047Degond, P.; Liu, H.; Savelief, D.; Vignal, M.-H. 7 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 93 2011 All speed scheme for the low Mach number limit of the isentropic Euler equations. Zbl 1364.76129Degond, Pierre; Tang, Min 52 2011 The moment-guided Monte Carlo method. Zbl 1227.82061Degond, Pierre; Dimarco, Giacomo; Pareschi, Lorenzo 23 2011 Two-way multi-lane traffic model for pedestrians in corridors. Zbl 1260.90051Appert-Rolland, Cécile; Degond, Pierre; Motsch, Sébastien 19 2011 A macroscopic model for a system of swarming agents using curvature control. Zbl 1222.82071Degond, Pierre; Motsch, Sébastien 14 2011 Numerical simulations of the Euler system with congestion constraint. Zbl 1408.76379Degond, Pierre; Hua, Jiale; Navoret, Laurent 12 2011 Asymptotic-preserving scheme for a bi-fluid Euler-Lorentz model. Zbl 1241.35150Brull, Stéphane; Degond, Pierre; Deluzet, Fabrice; Mouton, Alexandre 6 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 2 2011 A hierarchy of models related to nanoflows and surface diffusion. Zbl 1218.82029Aoki, Kazuo; Charrier, Pierre; Degond, Pierre 1 2011 A multiscale kinetic-fluid solver with dynamic localization of kinetic effects. Zbl 1346.82035Degond, Pierre; Dimarco, Giacomo; Mieussens, Luc 25 2010 An asymptotic preserving scheme for strongly anisotropic elliptic problems. Zbl 1190.35216Degond, Pierre; Deluzet, Fabrice; Negulescu, Claudia 25 2010 Diffusion in a continuum model of self-propelled particles with alignment interaction. Zbl 1420.76006Degond, Pierre; Yang, Tong 24 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 18 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. 21 2009 An asymptotically stable semi-Lagrangian scheme in the quasi-neutral limit. Zbl 1203.65217Belaouar, R.; Crouseilles, N.; Degond, P.; Sonnendrücker, E. 12 2009 Kinetic models for polymers with inertial effects. Zbl 1183.76614Degond, Pierre; Liu, Hailiang 11 2009 Numerical simulations of rarefied gases in curved channels: thermal creep, circulating flow, and pumping effect. Zbl 1364.76168Aoki, Kazuo; Degond, Pierre; Mieussens, Luc 9 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 143 2008 Large scale dynamics of the persistent turning Walker model of fish behavior. Zbl 1214.82075Degond, Pierre; Motsch, Sébastien 58 2008 A model for the formation and evolution of traffic jams. Zbl 1153.90003Berthelin, F.; Degond, P.; Delitala, M.; Rascle, M. 52 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 27 2008 Modelling and simulation of vehicular traffic jam formation. Zbl 1153.90356Degond, Pierre; Delitala, Marcello 15 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 12 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 10 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 Quantum diffusion models derived from the entropy principle. Zbl 1308.81126Degond, P.; Gallego, Samy; Méhats, F.; Ringhofer, C. 1 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 An asymptotic preserving scheme for the two-fluid Euler-Poisson model in the quasineutral limit. Zbl 1163.76062Crispel, Pierre; Degond, Pierre; Vignal, Marie-Hélène 36 2007 Macroscopic limit of self-driven particles with orientation interaction. Zbl 1206.82068Degond, Pierre; Motsch, Sébastien 32 2007 Mach-number uniform asymptotic-preserving gauge schemes for compressible flows. Zbl 1210.76135Degond, P.; Jin, S.; Liu, J.-G. 23 2007 A moving interface method for dynamic kinetic-fluid coupling. Zbl 1388.76335Degond, Pierre; Dimarco, Giacomo; Mieussens, Luc 16 2007 ...and 145 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,111 Authors 120 Degond, Pierre 49 Ha, Seung-Yeal 37 Carrillo de la Plata, José Antonio 31 Jüngel, Ansgar 30 Bellomo, Nicola 29 Pareschi, Lorenzo 25 Dimarco, Giacomo 23 Herty, Michael Matthias 23 Lemou, Mohammed 23 Markowich, Peter Alexander 22 Jin, Shi 22 Wang, Shu 21 Ben Abdallah, Naoufel 21 Crouseilles, Nicolas 20 Méhats, Florian 19 Göttlich, Simone 19 Li, Yeping 18 Bostan, Mihai 18 Romano, Vittorio 17 Ciarlet, Patrick jun. 17 Liu, Jianguo 17 Zhang, Kaijun 17 Zhang, Xianwen 16 Goudon, Thierry 16 Peng, Yuejun 16 Schmeiser, Christian 15 Filbet, Francis 15 Hsiao, Ling 15 Motsch, Sébastien 15 Sonnendrücker, Eric 15 Vignal, Marie-Hélène 14 Assous, Franck 14 Deluzet, Fabrice 14 Martínez Gamba, Irene 14 Negulescu, Claudia 14 Perthame, Benoît 13 Bianca, Carlo 13 Brezzi, Franco 13 Chacón, Luis 13 Chen, Li 13 Zhou, Yong 12 Cordier, Stéphane 12 Fan, Jishan 12 Klar, Axel 12 Mellet, Antoine 12 Mieussens, Luc 12 Ringhofer, Christian A. 12 Shu, Chi-Wang 12 Yu, Hongjun 12 Zatorska, Ewelina 11 Arnold, Anton 11 Blokhin, Aleksandr Mikhaĭlovich 11 Li, Hailiang 11 Yang, Jianwei 10 Banasiak, Jacek 10 Desvillettes, Laurent 10 Masmoudi, Nader 10 Pinaud, Olivier 10 Poupaud, Frédéric 10 Soler, Juan S. 10 Wolfram, Marie-Therese 9 Chae, Dongho 9 Duan, Renjun 9 Glassey, Robert T. 9 Kim, Jeongho 9 Ko, Dongnam 9 Koumoutsakos, Petros D. 9 Loubère, Raphaël 9 Lucquin-Desreux, Brigitte 9 Mei, Ming 9 Mouhot, Clément 9 Munz, Claus-Dieter 9 Piccoli, Benedetto 9 Toscani, Giuseppe 9 Villani, Cédric 9 Wang, Li 9 Yu, Huimin 9 Zhang, Xiongtao 8 Barletti, Luigi 8 Buet, Christophe 8 Burger, Martin 8 Chen, Xiuqing 8 Han-Kwan, Daniel 8 Hwang, Hyung Ju 8 Merino-Aceituno, Sara 8 Mischler, Stéphane 8 Narski, Jacek 8 Navoret, Laurent 8 Puppo, Gabriella 8 Rein, Gerhard 8 Suzuki, Masahiro 8 Tan, Zhong 8 Zanella, Mattia 7 Barré, Julien 7 Chen, Guangye 7 Choi, Young-Pil 7 Di Francesco, Marco 7 Dumbser, Michael 7 Frouvelle, Amic 7 Guo, Yan ...and 2,011 more Authors all top 5 Cited in 240 Serials 267 Journal of Computational Physics 149 M\(^3\)AS. 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Nonlinear Differential Equations and Applications 5 Communications in Nonlinear Science and Numerical Simulation 5 Analysis and Applications (Singapore) 5 Discrete and Continuous Dynamical Systems. Series S 5 Séminaire Laurent Schwartz. EDP et Applications 4 International Journal for Numerical Methods in Fluids 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Inventiones Mathematicae 4 Mathematics and Computers in Simulation 4 SIAM Journal on Numerical Analysis 4 Bulletin of the Korean Mathematical Society 4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 Bulletin des Sciences Mathématiques 4 Abstract and Applied Analysis 4 Chaos 4 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 SIAM Journal on Applied Dynamical Systems 4 Science China. Mathematics 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 3 Journal of Engineering Mathematics 3 Bulletin of Mathematical Biology 3 Computing 3 Applications of Mathematics 3 Bulletin of the American Mathematical Society. New Series 3 Continuum Mechanics and Thermodynamics 3 Electronic Journal of Differential Equations (EJDE) 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Acta Mathematica Sinica. English Series 3 Matematicheskoe Modelirovanie 3 Acta Numerica 3 Mathematical Biosciences and Engineering 3 Boundary Value Problems 3 Journal of Physics A: Mathematical and Theoretical ...and 140 more Serials all top 5 Cited in 42 Fields 1,173 Partial differential equations (35-XX) 782 Fluid mechanics (76-XX) 740 Statistical mechanics, structure of matter (82-XX) 487 Numerical analysis (65-XX) 192 Biology and other natural sciences (92-XX) 173 Optics, electromagnetic theory (78-XX) 90 Operations research, mathematical programming (90-XX) 78 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 71 Quantum theory (81-XX) 68 Ordinary differential equations (34-XX) 68 Probability theory and stochastic processes (60-XX) 50 Integral equations (45-XX) 47 Mechanics of deformable solids (74-XX) 42 Systems theory; control (93-XX) 38 Mechanics of particles and systems (70-XX) 37 Operator theory (47-XX) 37 Calculus of variations and optimal control; optimization (49-XX) 34 Dynamical systems and ergodic theory (37-XX) 26 Classical thermodynamics, heat transfer (80-XX) 24 Astronomy and astrophysics (85-XX) 23 Relativity and gravitational theory (83-XX) 12 General and overarching topics; collections (00-XX) 10 Approximations and expansions (41-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 Real functions (26-XX) 8 Differential geometry (53-XX) 8 Geophysics (86-XX) 7 Statistics (62-XX) 7 Computer science (68-XX) 6 Combinatorics (05-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Functional analysis (46-XX) 6 Information and communication theory, circuits (94-XX) 4 Difference and functional equations (39-XX) 3 Special functions (33-XX) 3 General topology (54-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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