Edit Profile (opens in new tab) Mieussens, Luc Compute Distance To: Compute Author ID: mieussens.luc Published as: Mieussens, Luc; Mieussens, L. Documents Indexed: 44 Publications since 1998 Co-Authors: 33 Co-Authors with 38 Joint Publications 721 Co-Co-Authors all top 5 Co-Authors 6 single-authored 8 Mathiaud, Julien 6 Degond, Pierre 6 Lemou, Mohammed 4 Baranger, Céline 4 Dimarco, Giacomo 3 Aoki, Kazuo 3 Charrier, Pierre 3 Dubroca, Bruno 2 Bennoune, Mounir 2 Brull, Stephane 2 Dauvois, Y. 2 Gallice, Gérard 2 Hérouard, N. 2 Liu, Jianguo 2 Peluchon, Simon 2 Rispoli, Vittorio 2 Struchtrup, Henning 2 Veron, Fabrice 1 Bourgade, Jean-Pierre 1 Claudel, Jean 1 Dechristé, Guillaume 1 Feugeas, Jean-Luc 1 Hattori, Masanari 1 Jeanmasson, G. 1 Jin, Shi 1 Kosuge, Shingo 1 Marois, G. 1 Martalò, Giorgio 1 Mary, Ivan 1 Mellet, Antoine 1 Takata, Shigeru 1 Turpault, Rodolphe 1 Yoshida, Hiroaki all top 5 Serials 13 Journal of Computational Physics 4 Journal of Statistical Physics 3 European Journal of Mechanics. B. Fluids 2 Journal of Fluid Mechanics 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 SIAM Journal on Scientific Computing 2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 2 Multiscale Modeling & Simulation 1 Computers & Mathematics with Applications 1 Mathematics and Computers in Simulation 1 SIAM Journal on Numerical Analysis 1 Mathematical and Computer Modelling 1 Continuum Mechanics and Thermodynamics 1 Physics of Fluids 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Communications in Computational Physics 1 Kinetic and Related Models all top 5 Fields 37 Fluid mechanics (76-XX) 31 Statistical mechanics, structure of matter (82-XX) 15 Numerical analysis (65-XX) 9 Partial differential equations (35-XX) 2 Approximations and expansions (41-XX) 2 Geophysics (86-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 41 Publications have been cited 814 times in 486 Documents Cited by ▼ Year ▼ Discrete-velocity models and numerical schemes for the Boltzmann-BGK equation in plane and axisymmetric geometries. Zbl 0984.76070Mieussens, Luc 127 2000 A new asymptotic preserving scheme based on micro-macro formulation for linear kinetic equations in the diffusion limit. Zbl 1187.82110Lemou, Mohammed; Mieussens, Luc 93 2008 Uniformly stable numerical schemes for the Boltzmann equation preserving the compressible Navier-Stokes asymptotics. Zbl 1317.76058Bennoune, Mounir; Lemou, Mohammed; Mieussens, Luc 79 2008 Discrete velocity model and implicit scheme for the BGK equation of rarefied gas dynamics. Zbl 1174.82329Mieussens, Luc 54 2000 Numerical comparison of Bhatnagar-Gross-Krook models with proper Prandtl number. Zbl 1186.76372Mieussens, Luc; Struchtrup, Henning 43 2004 On the asymptotic preserving property of the unified gas kinetic scheme for the diffusion limit of linear kinetic models. Zbl 1349.76787Mieussens, Luc 38 2013 Discrete velocity model and implicit scheme for the BGK equation of rarefied gas dynamics. Zbl 1078.82526Mieussens, Luc 36 2000 A smooth transition model between kinetic and hydrodynamic equations. Zbl 1138.82324Degond, Pierre; Jin, Shi; Mieussens, Luc 34 2005 Analysis of an asymptotic preserving scheme for linear kinetic equations in the diffusion limit. Zbl 1220.65116Liu, Jian-Guo; Mieussens, Luc 28 2010 A multiscale kinetic-fluid solver with dynamic localization of kinetic effects. Zbl 1346.82035Degond, Pierre; Dimarco, Giacomo; Mieussens, Luc 28 2010 Locally refined discrete velocity grids for stationary rarefied flow simulations. Zbl 1349.76586Baranger, C.; Claudel, J.; Hérouard, N.; Mieussens, L. 27 2014 Macroscopic fluid models with localized kinetic upscaling effects. Zbl 1147.82331Degond, Pierre; Liu, Jian-Guo; Mieussens, Luc 18 2006 A moving interface method for dynamic kinetic-fluid coupling. Zbl 1388.76335Degond, Pierre; Dimarco, Giacomo; Mieussens, Luc 18 2007 A Fokker-Planck model of the Boltzmann equation with correct Prandtl number. Zbl 1334.35352Mathiaud, J.; Mieussens, L. 16 2016 A Cartesian cut cell method for rarefied flow simulations around moving obstacles. Zbl 1349.76783Dechristé, G.; Mieussens, L. 16 2016 Implicit schemes for the Fokker–Planck–Landau equation. Zbl 1096.82015Lemou, Mohammed; Mieussens, Luc 15 2005 An asymptotic preserving automatic domain decomposition method for the Vlasov-Poisson-BGK system with applications to plasmas. Zbl 1351.76101Dimarco, Giacomo; Mieussens, Luc; Rispoli, Vittorio 15 2014 Local discrete velocity grids for deterministic rarefied flow simulations. Zbl 1362.76054Brull, S.; Mieussens, L. 15 2014 Convergence of a discrete-velocity model for the Boltzmann-BGK equation. Zbl 0980.82027Mieussens, L. 15 2001 Numerical simulations of rarefied gases in curved channels: thermal creep, circulating flow, and pumping effect. Zbl 1364.76168Aoki, Kazuo; Degond, Pierre; Mieussens, Luc 11 2009 A conservative and entropic discrete-velocity model for rarefied polyatomic gases. Zbl 1036.82010Dubroca, Bruno; Mieussens, Luc 11 2001 A BGK model for high temperature rarefied gas flows. Zbl 1472.76078Baranger, C.; Dauvois, Y.; Marois, G.; Mathé, J.; Mathiaud, J.; Mieussens, L. 10 2020 A Fokker-Planck model of the Boltzmann equation with correct Prandtl number for polyatomic gases. Zbl 1373.82059Mathiaud, Julien; Mieussens, Luc 9 2017 Discrete-velocity models for kinetic nonequilibrium flows. (Modèles à vitesses discrètes pour le calcul d’écoulements hors équilibre cinétique.) Zbl 0917.35101Charrier, Pierre; Dubroca, Bruno; Feugeas, Jean-Luc; Mieussens, Luc 6 1998 A robust implicit-explicit acoustic-transport splitting scheme for two-phase flows. Zbl 1375.76197Peluchon, S.; Gallice, G.; Mieussens, L. 5 2017 An asymptotic preserving scheme for the Kac model of the Boltzmann equation in the diffusion limit. Zbl 1234.76041Bennoune, Mounir; Lemou, Mohammed; Mieussens, Luc 5 2009 An ES-BGK model for polyatomic gases in rotational and vibrational nonequilibrium. Zbl 1494.76074Dauvois, Y.; Mathiaud, J.; Mieussens, L. 5 2021 Fast implicit schemes for the Fokker-Planck-Landau equation. Zbl 1081.82022Lemou, Mohammed; Mieussens, Luc 5 2004 Convergence of a discrete-velocity model for the Boltzmann-BGK equation. (Convergence d’un modèle à vitesses discrètes pour l’équation de Boltzmann-BGK.) Zbl 0933.82034Mieussens, Luc 5 1999 BGK and Fokker-Planck models of the Boltzmann equation for gases with discrete levels of vibrational energy. Zbl 1437.82020Mathiaud, J.; Mieussens, L. 5 2020 Slip boundary conditions for the compressible Navier-Stokes equations. Zbl 1383.82045Aoki, Kazuo; Baranger, Céline; Hattori, Masanari; Kosuge, Shingo; Martalò, Giorgio; Mathiaud, Julien; Mieussens, Luc 3 2017 A diffusion model for rarefied flows in curved channels. Zbl 1149.76045Aoki, K.; Degond, P.; Mieussens, L.; Takata, S.; Yoshida, H. 3 2008 Gas-surface interaction and boundary conditions for the Boltzmann equation. Zbl 1304.82062Brull, Stéphane; Charrier, Pierre; Mieussens, Luc 3 2014 On some explicit local time stepping finite volume schemes for CFD. Zbl 1453.76098Jeanmasson, G.; Mary, I.; Mieussens, L. 3 2019 Discrete-velocity models for numerical simulations in transitional regime for rarefied flows and radiative transfer. Zbl 1116.82306Charrier, Pierre; Dubroca, Bruno; Mieussens, Luc; Turpault, Rodolphe 3 2004 Time implicit schemes and fast approximations of the Fokker-Planck-Landau equation. Zbl 1148.82024Lemou, Mohammed; Mieussens, Luc 2 2007 Numerical comparison between two spherical harmonics expansion models and a kinetic equation. Zbl 1159.82318Bourgade, J. P.; Mellet, A.; Mieussens, L. 1 2004 A smooth transition approach between the Vlasov-Poisson and the Euler-Poisson system. Zbl 1443.76250Dimarco, Giacomo; Mieussens, Luc; Rispoli, Vittorio 1 2014 Numerical solutions for the BGK-model with velocity-dependent collision frequency. Zbl 1081.76051Mieussens, Luc; Struchtrup, Henning 1 2003 Development of numerical methods to simulate the melting of a thermal protection system. Zbl 07516829Peluchon, S.; Gallice, G.; Mieussens, L. 1 2022 An ES-BGK model for diatomic gases with correct relaxation rates for internal energies. Zbl 1500.76075Mathiaud, J.; Mieussens, L.; Pfeiffer, M. 1 2022 Development of numerical methods to simulate the melting of a thermal protection system. Zbl 07516829Peluchon, S.; Gallice, G.; Mieussens, L. 1 2022 An ES-BGK model for diatomic gases with correct relaxation rates for internal energies. Zbl 1500.76075Mathiaud, J.; Mieussens, L.; Pfeiffer, M. 1 2022 An ES-BGK model for polyatomic gases in rotational and vibrational nonequilibrium. Zbl 1494.76074Dauvois, Y.; Mathiaud, J.; Mieussens, L. 5 2021 A BGK model for high temperature rarefied gas flows. Zbl 1472.76078Baranger, C.; Dauvois, Y.; Marois, G.; Mathé, J.; Mathiaud, J.; Mieussens, L. 10 2020 BGK and Fokker-Planck models of the Boltzmann equation for gases with discrete levels of vibrational energy. Zbl 1437.82020Mathiaud, J.; Mieussens, L. 5 2020 On some explicit local time stepping finite volume schemes for CFD. Zbl 1453.76098Jeanmasson, G.; Mary, I.; Mieussens, L. 3 2019 A Fokker-Planck model of the Boltzmann equation with correct Prandtl number for polyatomic gases. Zbl 1373.82059Mathiaud, Julien; Mieussens, Luc 9 2017 A robust implicit-explicit acoustic-transport splitting scheme for two-phase flows. Zbl 1375.76197Peluchon, S.; Gallice, G.; Mieussens, L. 5 2017 Slip boundary conditions for the compressible Navier-Stokes equations. Zbl 1383.82045Aoki, Kazuo; Baranger, Céline; Hattori, Masanari; Kosuge, Shingo; Martalò, Giorgio; Mathiaud, Julien; Mieussens, Luc 3 2017 A Fokker-Planck model of the Boltzmann equation with correct Prandtl number. Zbl 1334.35352Mathiaud, J.; Mieussens, L. 16 2016 A Cartesian cut cell method for rarefied flow simulations around moving obstacles. Zbl 1349.76783Dechristé, G.; Mieussens, L. 16 2016 Locally refined discrete velocity grids for stationary rarefied flow simulations. Zbl 1349.76586Baranger, C.; Claudel, J.; Hérouard, N.; Mieussens, L. 27 2014 An asymptotic preserving automatic domain decomposition method for the Vlasov-Poisson-BGK system with applications to plasmas. Zbl 1351.76101Dimarco, Giacomo; Mieussens, Luc; Rispoli, Vittorio 15 2014 Local discrete velocity grids for deterministic rarefied flow simulations. Zbl 1362.76054Brull, S.; Mieussens, L. 15 2014 Gas-surface interaction and boundary conditions for the Boltzmann equation. Zbl 1304.82062Brull, Stéphane; Charrier, Pierre; Mieussens, Luc 3 2014 A smooth transition approach between the Vlasov-Poisson and the Euler-Poisson system. Zbl 1443.76250Dimarco, Giacomo; Mieussens, Luc; Rispoli, Vittorio 1 2014 On the asymptotic preserving property of the unified gas kinetic scheme for the diffusion limit of linear kinetic models. Zbl 1349.76787Mieussens, Luc 38 2013 Analysis of an asymptotic preserving scheme for linear kinetic equations in the diffusion limit. Zbl 1220.65116Liu, Jian-Guo; Mieussens, Luc 28 2010 A multiscale kinetic-fluid solver with dynamic localization of kinetic effects. Zbl 1346.82035Degond, Pierre; Dimarco, Giacomo; Mieussens, Luc 28 2010 Numerical simulations of rarefied gases in curved channels: thermal creep, circulating flow, and pumping effect. Zbl 1364.76168Aoki, Kazuo; Degond, Pierre; Mieussens, Luc 11 2009 An asymptotic preserving scheme for the Kac model of the Boltzmann equation in the diffusion limit. Zbl 1234.76041Bennoune, Mounir; Lemou, Mohammed; Mieussens, Luc 5 2009 A new asymptotic preserving scheme based on micro-macro formulation for linear kinetic equations in the diffusion limit. Zbl 1187.82110Lemou, Mohammed; Mieussens, Luc 93 2008 Uniformly stable numerical schemes for the Boltzmann equation preserving the compressible Navier-Stokes asymptotics. Zbl 1317.76058Bennoune, Mounir; Lemou, Mohammed; Mieussens, Luc 79 2008 A diffusion model for rarefied flows in curved channels. Zbl 1149.76045Aoki, K.; Degond, P.; Mieussens, L.; Takata, S.; Yoshida, H. 3 2008 A moving interface method for dynamic kinetic-fluid coupling. Zbl 1388.76335Degond, Pierre; Dimarco, Giacomo; Mieussens, Luc 18 2007 Time implicit schemes and fast approximations of the Fokker-Planck-Landau equation. Zbl 1148.82024Lemou, Mohammed; Mieussens, Luc 2 2007 Macroscopic fluid models with localized kinetic upscaling effects. Zbl 1147.82331Degond, Pierre; Liu, Jian-Guo; Mieussens, Luc 18 2006 A smooth transition model between kinetic and hydrodynamic equations. Zbl 1138.82324Degond, Pierre; Jin, Shi; Mieussens, Luc 34 2005 Implicit schemes for the Fokker–Planck–Landau equation. Zbl 1096.82015Lemou, Mohammed; Mieussens, Luc 15 2005 Numerical comparison of Bhatnagar-Gross-Krook models with proper Prandtl number. Zbl 1186.76372Mieussens, Luc; Struchtrup, Henning 43 2004 Fast implicit schemes for the Fokker-Planck-Landau equation. Zbl 1081.82022Lemou, Mohammed; Mieussens, Luc 5 2004 Discrete-velocity models for numerical simulations in transitional regime for rarefied flows and radiative transfer. Zbl 1116.82306Charrier, Pierre; Dubroca, Bruno; Mieussens, Luc; Turpault, Rodolphe 3 2004 Numerical comparison between two spherical harmonics expansion models and a kinetic equation. Zbl 1159.82318Bourgade, J. P.; Mellet, A.; Mieussens, L. 1 2004 Numerical solutions for the BGK-model with velocity-dependent collision frequency. Zbl 1081.76051Mieussens, Luc; Struchtrup, Henning 1 2003 Convergence of a discrete-velocity model for the Boltzmann-BGK equation. Zbl 0980.82027Mieussens, L. 15 2001 A conservative and entropic discrete-velocity model for rarefied polyatomic gases. Zbl 1036.82010Dubroca, Bruno; Mieussens, Luc 11 2001 Discrete-velocity models and numerical schemes for the Boltzmann-BGK equation in plane and axisymmetric geometries. Zbl 0984.76070Mieussens, Luc 127 2000 Discrete velocity model and implicit scheme for the BGK equation of rarefied gas dynamics. Zbl 1174.82329Mieussens, Luc 54 2000 Discrete velocity model and implicit scheme for the BGK equation of rarefied gas dynamics. Zbl 1078.82526Mieussens, Luc 36 2000 Convergence of a discrete-velocity model for the Boltzmann-BGK equation. (Convergence d’un modèle à vitesses discrètes pour l’équation de Boltzmann-BGK.) Zbl 0933.82034Mieussens, Luc 5 1999 Discrete-velocity models for kinetic nonequilibrium flows. (Modèles à vitesses discrètes pour le calcul d’écoulements hors équilibre cinétique.) Zbl 0917.35101Charrier, Pierre; Dubroca, Bruno; Feugeas, Jean-Luc; Mieussens, Luc 6 1998 all cited Publications top 5 cited Publications all top 5 Cited by 613 Authors 27 Xu, Kun 25 Dimarco, Giacomo 23 Mieussens, Luc 19 Lemou, Mohammed 18 Crouseilles, Nicolas 17 Pareschi, Lorenzo 16 Titarev, Vladimir A. 14 Jin, Shi 13 Degond, Pierre 12 Li, Zhihui 12 Yun, Seok-Bae 11 Li, Qin 11 Zhong, Chengwen 10 Russo, Giovanni 10 Samaey, Giovanni 10 Torrilhon, Manuel 9 Brull, Stephane 9 Li, Ruo 9 Pirner, Marlies 9 Sun, Wenjun 8 Mathiaud, Julien 8 Puppo, Gabriella 8 Rey, Thomas 8 Wu, Lei 8 Yong, Wen-An 8 Zhang, Yonghao 7 Cai, Zhenning 7 Hauck, Cory D. 7 Hu, Jingwei 7 Klingenberg, Christian F. 7 Liu, Chang 7 Su, Wei 7 Zhu, Yajun 6 Aoki, Kazuo 6 Boscarino, Sebastiano 6 Frank, Martin 6 Martínez Gamba, Irene 6 Jiang, Song 6 Klar, Axel 6 Liu, Liu 6 Liu, Sha 6 Loubère, Raphaël 6 Lu, Jianfeng 6 Ni, Guoxi 5 Alexeenko, Alina A. 5 Baranger, Céline 5 Cho, Seung-Yeon 5 Dubroca, Bruno 5 Filbet, Francis 5 Hivert, Hélène 5 Li, Fengyan 5 Méhats, Florian 5 Qiu, Jingmei 5 Sarna, Neeraj 5 Shakhov, E. M. 5 Xiong, Tao 5 Zhang, Hanxin 4 Boscheri, Walter 4 Buet, Christophe 4 Deluzet, Fabrice 4 Franck, Emmanuel 4 Guo, Zhaoli 4 Hu, Zhicheng 4 Jiang, Xinyu 4 Lukáčová-Medvid’ová, Mária 4 Negulescu, Claudia 4 Pan, Liang 4 Peng, Aoping 4 Reese, Jason M. 4 Struchtrup, Henning 4 Tiwari, Sudarshan 4 Turpault, Rodolphe 4 Wang, Peng 4 Wang, Yanli 4 Xiao, Tianbai 4 Zhou, Yizhou 4 Zhu, Lianhua 3 Bernard, Florian 3 Bisi, Marzia 3 Cheng, Yingda 3 Crestetto, Anaïs 3 Després, Bruno 3 Gimelshein, Sergey F. 3 Gorji, Mohammad Hossein 3 Groppi, Maria 3 Guisset, Sebastien 3 Gunzburger, Max D. 3 Haack, Jeffrey R. 3 Hadjiconstantinou, Nicolas G. 3 Huang, Juan-Chen 3 Iollo, Angelo 3 Jenny, Patrick 3 Koellermeier, Julian 3 Kosuge, Shingo 3 Li, Weidong 3 Liu, Jianguo 3 McDonald, James G. 3 Melis, Ward 3 Meng, Jianping 3 Narski, Jacek ...and 513 more Authors all top 5 Cited in 80 Serials 164 Journal of Computational Physics 30 Computers and Fluids 20 Kinetic and Related Models 19 Journal of Scientific Computing 17 SIAM Journal on Scientific Computing 17 Communications in Computational Physics 15 Multiscale Modeling & Simulation 12 SIAM Journal on Numerical Analysis 11 Journal of Statistical Physics 11 European Journal of Mechanics. B. Fluids 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Journal of Fluid Mechanics 8 International Journal of Computational Fluid Dynamics 7 Computer Methods in Applied Mechanics and Engineering 7 Mathematics of Computation 6 Continuum Mechanics and Thermodynamics 6 Physics of Fluids 5 Computers & Mathematics with Applications 5 Journal of Differential Equations 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 Computational Mathematics and Mathematical Physics 3 Fluid Dynamics 3 International Journal for Numerical Methods in Fluids 3 Journal of Mathematical Analysis and Applications 3 Journal of Mathematical Physics 3 Applied Mathematics and Computation 3 Numerische Mathematik 3 SIAM Journal on Mathematical Analysis 3 Communications in Nonlinear Science and Numerical Simulation 3 Matematicheskoe Modelirovanie 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Acta Mechanica Sinica 2 Acta Mechanica 2 Journal of Mathematical Biology 2 Transport Theory and Statistical Physics 2 Journal of Computational and Applied Mathematics 2 Applied Mathematics Letters 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Nonlinear Analysis. Real World Applications 2 Acta Numerica 2 Oberwolfach Reports 2 Advances in Applied Mathematics and Mechanics 2 Communications in Applied and Industrial Mathematics 2 SIAM/ASA Journal on Uncertainty Quantification 2 Research in the Mathematical Sciences 2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Communications on Applied Mathematics and Computation 2 Journal of Computational and Theoretical Transport 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 Communications in Mathematical Physics 1 International Journal of Engineering Science 1 International Journal of Heat and Mass Transfer 1 Physica A 1 Physics Reports 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Applied Mathematics and Optimization 1 International Journal for Numerical Methods in Engineering 1 Mathematics and Computers in Simulation 1 Monatshefte für Mathematik 1 Quarterly of Applied Mathematics 1 Transactions of the American Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 Applied Numerical Mathematics 1 Numerical Methods for Partial Differential Equations 1 Mathematical and Computer Modelling 1 Applications of Mathematics 1 Numerical Algorithms 1 Applied Mathematical Modelling 1 SIAM Journal on Applied Mathematics 1 Journal of Nonlinear Science 1 Monte Carlo Methods and Applications 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 Discrete and Continuous Dynamical Systems. Series S 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Mathematics in Engineering 1 SMAI Journal of Computational Mathematics 1 SN Partial Differential Equations and Applications all top 5 Cited in 27 Fields 333 Fluid mechanics (76-XX) 252 Numerical analysis (65-XX) 222 Statistical mechanics, structure of matter (82-XX) 176 Partial differential equations (35-XX) 25 Classical thermodynamics, heat transfer (80-XX) 11 Integral equations (45-XX) 10 Biology and other natural sciences (92-XX) 9 Probability theory and stochastic processes (60-XX) 8 Mechanics of deformable solids (74-XX) 8 Astronomy and astrophysics (85-XX) 5 Ordinary differential equations (34-XX) 5 Approximations and expansions (41-XX) 5 Computer science (68-XX) 5 Optics, electromagnetic theory (78-XX) 3 Quantum theory (81-XX) 3 Mathematics education (97-XX) 2 General and overarching topics; collections (00-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year