Edit Profile (opens in new tab) LeFloch, Philippe Gerard Co-Author Distance Author ID: lefloch.philippe-g Published as: LeFloch, Philippe G.; Le Floch, Philippe; LeFloch, P. G.; Lefloch, Philippe G.; Le Floch, Philippe G.; LeFloch, Philippe; Lefloch, Philippe; LeFloch, Philippe Gerard; LeFloch, Phillippe; Le Floch, Ph. more...less Homepage: https://philippelefloch.org/ External Links: MGP · Wikidata · arXiv · IdRef · theses.fr Videos: carmin.tv Documents Indexed: 258 Publications since 1985, including 5 Books and 20 Additional arXiv Preprints 4 Contributions as Editor Software Indexed: 1 Package Co-Authors: 133 Co-Authors with 232 Joint Publications 3,877 Co-Co-Authors all top 5 Co-Authors 30 single-authored 14 Coquel, Frédéric 10 Ma, Yue 10 Mercier, Jean-Marc 9 Beyer, Florian 9 Mai Duc Thanh 8 Bedjaoui, Nabil 7 Boutin, Benjamin 7 Joseph, Kayyunnapara Thomas 7 Okutmustur, Baver 7 Rohde, Christian 6 Amorim, Paulo 6 Chalons, Christophe 6 Chen, Gui-Qiang G. 6 Le Floch, Bruno 5 Baiti, Paolo 5 Beljadid, Abdelaziz 5 Piccoli, Benedetto 5 Xiang, Shuyang 4 Colombo, Rinaldo M. 4 Goatin, Paola 4 Hayes, Brian T. 4 Mishra, Siddhartha 4 Parés Madroñal, Carlos 4 Raviart, Pierre-Arnaud 4 Smulevici, Jacques 3 Ames, Ellery 3 Ben-Artzi, Matania 3 Correia, Joaquim M. C. 3 Dias, João-Paulo 3 Dong, Shijie 3 Dubois, François 3 Grubic, Nastasia 3 Hou, Thomas Yizhao 3 Isenberg, James A. 3 Mardare, Cristinel 3 Miryusupov, Shohruh 3 Nédélec, Jean-Claude 3 Stewart, John M. 2 Bakhtin, Yuri Yu. 2 Berthon, Christophe 2 Bourgeade, Antoine 2 Bressan, Alberto 2 Burtscher, Annegret Y. 2 Cao, Yangyang 2 Ceylan, Tuba 2 Chen, Binglong 2 Cockburn, Bernardo 2 Ghazizadeh, Mohammad A. 2 Grant, James D. E. 2 Karjoun, Hasan 2 Kondo, Cezar I. 2 Kröner, Dietmar 2 Laforest, Marc 2 Lagoutière, Frédéric 2 Li, Tatsien 2 Liu, Jianguo 2 Makhlof, Hasan 2 Muñoz-Ruiz, María Luz 2 Neves, Wladimir 2 Nguyen, The-Cang 2 Tesdall, Allen M. 2 Trivisa, Konstantina 2 Tzavaras, Athanasios E. 2 Veneziano, Gabriele 2 Wei, Changhua 1 Amadori, Debora 1 Ambrosio, Luigi 1 Ambroso, Annalisa 1 Barnes, A. P. 1 Beig, Robert 1 Bereux, François 1 Bernardi, Christine 1 Bonnetier, Eric 1 Boscarino, Sebastiano 1 Choudhury, Anupam Pal 1 Crasta, Graziano 1 Crippa, Gianluca 1 Dal Maso, Gianni 1 Du, Qiang 1 Ernest, Jan 1 Falcovitz, Joseph 1 Figueira, Mário S. R. 1 Forestier, Alain 1 Frid, Hermano 1 Georgiev, Svetlin Georgiev 1 Germain, Pierre 1 Giesselmann, Jan 1 Glass, Olivier 1 Godlewski, Edwige 1 Hong, John Meng-Kai 1 Hu, Jiaxin 1 Huang, Zhan 1 Iguchi, Tatsuo 1 Jang, Juhi 1 Kardhashi, Eva 1 Kissling, Frederike 1 Klingenberg, Christian 1 Lee, Dan Archibald 1 Lei, Zhen 1 Liu, Tai-Ping ...and 33 more Co-Authors all top 5 Serials 15 Archive for Rational Mechanics and Analysis 11 Comptes Rendus de l’Académie des Sciences. Série I 11 Portugaliae Mathematica. Nova Série 10 Journal of Differential Equations 9 Classical and Quantum Gravity 9 Journal of Computational Physics 9 SIAM Journal on Numerical Analysis 7 Journal de Mathématiques Pures et Appliquées. Neuvième Série 7 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Mathematics of Computation 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 SIAM Journal on Mathematical Analysis 4 Communications in Partial Differential Equations 4 Communications in Mathematical Sciences 4 Oberwolfach Reports 4 Communications in Computational Physics 3 Communications in Mathematical Physics 3 Communications on Pure and Applied Mathematics 3 Numerische Mathematik 3 Journal of Scientific Computing 3 Communications on Pure and Applied Analysis 3 Journal of Hyperbolic Differential Equations 2 Computer Methods in Applied Mechanics and Engineering 2 Mathematical Methods in the Applied Sciences 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Journal of Geometry and Physics 2 Indiana University Mathematics Journal 2 Journal of Functional Analysis 2 Chinese Annals of Mathematics. Series B 2 Japan Journal of Industrial and Applied Mathematics 2 Matemática Contemporânea 2 Interfaces and Free Boundaries 2 Annales Henri Poincaré 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Communications in Applied Mathematics and Computational Science 2 Networks and Heterogeneous Media 2 Series in Applied and Computational Mathematics 1 General Relativity and Gravitation 1 Nonlinearity 1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Transactions of the American Mathematical Society 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Asymptotic Analysis 1 Forum Mathematicum 1 IMPACT of Computing in Science and Engineering 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Journal of Dynamics and Differential Equations 1 Boletim da Sociedade Brasileira de Matemática. Nova Série 1 SIAM Journal on Scientific Computing 1 Communications in Analysis and Geometry 1 Séminaire Équations aux Dérivées Partielles 1 Electronic Journal of Differential Equations (EJDE) 1 NoDEA. Nonlinear Differential Equations and Applications 1 Methods and Applications of Analysis 1 Advances in Computational Mathematics 1 Discrete and Continuous Dynamical Systems 1 Advances in Theoretical and Mathematical Physics 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series 1 Far East Journal of Mathematical Sciences 1 Journal of High Energy Physics 1 Journal of Evolution Equations 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Analysis and Applications (Singapore) 1 Acta Numerica 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Applied Mathematical Sciences 1 Kinetic and Related Models 1 Analysis & PDE 1 International Journal of Dynamical Systems and Differential Equations 1 Differential Equations and Applications 1 Stochastic and Partial Differential Equations. Analysis and Computations 1 Nonlinear Analysis. Theory, Methods & Applications 1 Annals of PDE 1 Portugaliae Mathematica all top 5 Fields 212 Partial differential equations (35-XX) 106 Fluid mechanics (76-XX) 59 Numerical analysis (65-XX) 59 Relativity and gravitational theory (83-XX) 31 Differential geometry (53-XX) 20 Mechanics of deformable solids (74-XX) 11 Global analysis, analysis on manifolds (58-XX) 4 General and overarching topics; collections (00-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Quantum theory (81-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Algebraic geometry (14-XX) 2 Real functions (26-XX) 2 Geometry (51-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Astronomy and astrophysics (85-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 208 Publications have been cited 4,131 times in 2,113 Documents Cited by ▼ Year ▼ Definition and weak stability of nonconservative products. Zbl 0853.35068 Dal Maso, Gianni; LeFloch, Philippe G.; Murat, François 429 1995 Hyperbolic systems of conservation laws. The theory of classical and nonclassical shock waves. Zbl 1019.35001 LeFloch, Philippe G. 237 2002 Boundary conditions for nonlinear hyperbolic systems of conservation laws. Zbl 0649.35057 Dubois, François; Le Floch, Philippe 122 1988 Why nonconservative schemes converge to wrong solutions: Error analysis. Zbl 0809.65102 Hou, Thomas Y.; Le Floch, Philippe G. 121 1994 Why many theories of shock waves are necessary: convergence error in formally path-consistent schemes. Zbl 1176.76084 Castro, Manuel J.; LeFloch, Philippe G.; Muñoz-Ruiz, María Luz; Parés, Carlos 116 2008 Fully discrete, entropy conservative schemes of arbitrary order. Zbl 1033.65073 LeFloch, P. G.; Mercier, J. M.; Rohde, C. 105 2002 An existence and uniqueness result for two nonstrictly hyperbolic systems. Zbl 0727.35083 Le Floch, Philippe 84 1990 The Riemann problem for a class of resonant hyperbolic systems of balance laws. Zbl 1086.35069 Goatin, Paola; LeFloch, Philippe G. 78 2004 The Riemann problem for fluid flows in a nozzle with discontinuous cross-section. Zbl 1091.35044 LeFloch, Philippe G.; Mai Duc Thanh 73 2003 Entropy weak solutions to nonlinear hyperbolic systems under nonconservative form. Zbl 0683.35049 Le Floch, Philippe 66 1988 A Godunov-type method for the shallow water equations with discontinuous topography in the resonant regime. Zbl 1453.35150 LeFloch, Philippe G.; Thanh, Mai Duc 63 2011 The Riemann problem for the shallow water equations with discontinuous topography. Zbl 1145.35082 LeFloch, Philippe G.; Thanh, Mai Duc 60 2007 Non-classical shocks and kinetic relations: Scalar conservation laws. Zbl 0902.76053 Hayes, Brian T.; LeFloch, Philippe G. 58 1997 Conservation laws with vanishing nonlinear diffusion and dispersion. Zbl 0923.35159 LeFloch, Philippe G.; Natalini, Roberto 58 1999 The global nonlinear stability of Minkowski space for self-gravitating massive fields. The wave-Klein-Gordon model. Zbl 1359.83003 LeFloch, Philippe G.; Ma, Yue 56 2016 An asymptotic expansion for the solution of the generalized Riemann problem. I: General theory. Zbl 0679.35064 Le Floch, Philippe; Raviart, Pierre-Arnaud 50 1988 Existence theory for nonlinear hyperbolic systems in nonconservative form. Zbl 0804.35086 Le Floch, Philippe; Liu, Tai-Ping 50 1993 Representation of weak limits and definition of nonconservative products. Zbl 0939.35115 LeFloch, Philippe G.; Tzavaras, Athanasios E. 46 1999 Measure solutions to a strictly hyperbolic system of conservation laws. Zbl 0908.35075 Hayes, Brian T.; LeFloch, Philippe G. 46 1996 The hyperboloidal foliation method. Zbl 1320.53001 LeFloch, Philippe G.; Ma, Yue 45 2014 Propagating phase boundaries: Formulation of the problem and existence via the Glimm method. Zbl 0784.73010 Le Floch, Philippe 42 1993 Uniqueness of weak solutions to systems of conservation laws. Zbl 0903.35039 Bressan, Alberto; LeFloch, Philippe 41 1997 High-order asymptotic-preserving methods for fully nonlinear relaxation problems. Zbl 1426.76455 Boscarino, Sebastiano; LeFloch, Philippe G.; Russo, Giovanni 40 2014 Convergence of the finite volume method for multidimensional conservation laws. Zbl 0845.65051 Cockburn, B.; Coquel, F.; LeFloch, P. G. 39 1995 Explicit formula for scalar nonlinear conservation laws with boundary condition. Zbl 0679.35065 Le Floch, Philippe 38 1988 An error estimate for finite volume methods for multidimensional conservation laws. Zbl 0855.65103 Cockburn, Bernardo; Coquel, Frédéric; LeFloch, Philippe 37 1994 Definition and stability of Lorentzian manifolds with distributional curvature. Zbl 1144.35311 LeFloch, Philippe G.; Mardare, Cristinel 37 2007 Finite energy solutions to the isentropic Euler equations with geometric effects. Zbl 1188.35150 LeFloch, Philippe G.; Westdickenberg, Michael 37 2007 The minimum entropy principle for compressible fluid flows in a nozzle with discontinuous cross-section. Zbl 1139.76048 Kröner, Dietmar; LeFloch, Philippe G.; Thanh, Mai-Duc 35 2008 Nonclassical shocks and kinetic relations: Strictly hyperbolic systems. Zbl 0953.35095 Hayes, Brian T.; LeFloch, Philippe G. 34 2000 Compressible Euler equations with general pressure law. Zbl 0970.76082 Chen, Gui-Qiang; LeFloch, Philippe G. 34 2000 Existence theory for the isentropic Euler equations. Zbl 1027.76043 Chen, Gui-Qiang; LeFloch, Philippe G. 34 2003 Finite energy method for compressible fluids: the Navier-Stokes-Korteweg model. Zbl 1339.35240 Germain, Pierre; Lefloch, Philippe 34 2016 An asymptotic expansion for the solution of the generalized Riemann problem. II: Application to the equation of gas dynamics. Zbl 0703.35106 Bourgeade, A.; Le Floch, Ph.; Raviart, P. A. 34 1989 High-order schemes, entropy inequalities, and nonclassical shocks. Zbl 0959.35117 LeFloch, Philippe G.; Rohde, Christian 33 2000 Graph solutions of nonlinear hyperbolic systems. Zbl 1071.35078 LeFloch, Philippe G. 28 2004 The global nonlinear stability of Minkowski space for self-gravitating massive fields. Zbl 1434.83005 LeFloch, Philippe G.; Ma, Yue 27 2018 Well-posedness theory for geometry-compatible hyperbolic conservation laws on manifolds. Zbl 1138.35055 Ben-Artzi, Matania; LeFloch, Philippe G. 27 2007 Diffusive-dispersive travelling waves and kinetic relations. II: A hyperbolic-elliptic model of phase-transition dynamics. Zbl 1082.35104 Bedjaoui, Nabil; LeFloch, Philippe G. 25 2002 Zero diffusion-dispersion limits for scalar conservation laws. Zbl 1055.35072 Kondo, Cezar I.; LeFloch, Philippe G. 24 2002 Diffusive-dispersive traveling waves and kinetic relations. I: Nonconvex hyperbolic conservation laws. Zbl 1001.35082 Bedjaoui, Nabil; LeFloch, Philippe G. 24 2002 Convergence of finite difference schemes for conservation laws in several space dimensions: The corrected antidiffusive flux approach. Zbl 0741.35036 Coquel, Frédéric; Le Floch, Philippe 24 1991 Convergence of finite difference schemes for conservation laws in several space dimensions: A general theory. Zbl 0781.65078 Coquel, Frédéric; Le Floch, Philippe 24 1993 The hyperbolic mean curvature flow. Zbl 1159.53025 LeFloch, Philippe G.; Smoczyk, Knut 24 2008 Boundary layers in weak solutions of hyperbolic conservation laws. Zbl 0959.35119 Joseph, K. T.; LeFloch, P. G. 23 1999 Structural stability and regularity of entropy solutions to hyperbolic systems of conservation laws. Zbl 0932.35139 Bressan, Alberto; LeFloch, Philippe G. 23 1999 Existence theory for hyperbolic systems of conservation laws with general flux-functions. Zbl 1036.35130 Iguchi, Tatsuo; LeFloch, Philippe G. 22 2003 Lagrangian formulation and a priori estimates for relativistic fluid flows with vacuum. Zbl 1333.35198 Jang, Juhi; LeFloch, Philippe G.; Masmoudi, Nader 22 2016 Nonclassical shocks and kinetic relations: Finite difference schemes. Zbl 0938.35096 Hayes, Brian T.; LeFloch, Philippe G. 22 1998 The characteristic initial value problem for plane symmetric spacetimes with weak regularity. Zbl 1222.83028 LeFloch, Philippe G.; Stewart, John M. 22 2011 Non-monotonic traveling waves in van der Waals fluids. Zbl 1083.35060 Bedjaoui, N.; Chalons, C.; Coquel, F.; LeFloch, P. G. 21 2005 The positive mass theorem for manifolds with distributional curvature. Zbl 1330.53062 Lee, Dan A.; LeFloch, Philippe G. 21 2015 Numerical methods with controlled dissipation for small-scale dependent shocks. Zbl 1398.65211 LeFloch, Philippe G.; Mishra, Siddhartha 21 2014 Diffusive-dispersive travelling waves and kinetic relations. V: Singular diffusion and nonlinear dispersion. Zbl 1065.35182 Bedjaoui, Nabil; LeFloch, Philippe G. 20 2004 An introduction to nonclassical shocks of systems of conservation laws. Zbl 0929.35088 LeFloch, Philippe G. 20 1999 Nonlocal conservation laws. A new class of monotonicity-preserving models. Zbl 1377.35196 Du, Qiang; Huang, Zhan; LeFloch, Philippe G. 20 2017 Why many theories of shock waves are necessary: kinetic relations for non-conservative systems. Zbl 1234.35190 Berthon, Christophe; Coquel, Frédéric; LeFloch, Philippe G. 20 2012 Quasilinear hyperbolic Fuchsian systems and AVTD behavior in \(T ^{2}\)-symmetric vacuum spacetimes. Zbl 1272.83009 Ames, Ellery; Beyer, Florian; Isenberg, James; LeFloch, Philippe G. 20 2013 A symmetrization of the relativistic Euler equations with several spatial variables. Zbl 1192.35118 LeFloch, Philippe G.; Ukai, Seiji 20 2009 Global evolution of the U(1) Higgs boson: nonlinear stability and uniform energy bounds. Zbl 1469.35182 Dong, Shijie; LeFloch, Philippe Gerard; Wyatt, Zoe 20 2021 Second-order hyperbolic Fuchsian systems and applications. Zbl 1206.83025 Beyer, Florian; LeFloch, Philippe G. 20 2010 Non-classical Riemann solvers and kinetic relations. II: An hyperbolic-elliptic model of phase-transition dynamics. Zbl 1021.35073 LeFloch, Philippe G.; Tanh, Mai Duc 19 2002 Late-time/stiff-relaxation asymptotic-preserving approximations of hyperbolic equations. Zbl 1317.65182 Berthon, Christophe; LeFloch, Philippe G.; Turpault, Rodolphe 19 2013 Hyperbolic conservation laws on the sphere. A geometry-compatible finite volume scheme. Zbl 1168.65372 Ben-Artzi, Matania; Falcovitz, Joseph; LeFloch, Philippe G. 18 2009 The nonlinear stability of rotationally symmetric spaces with low regularity. Zbl 1316.53058 LeFloch, Philippe G.; Sormani, Christina 18 2015 A global foliation of Einstein-Euler spacetimes with Gowdy-symmetry on \(T ^{3}\). Zbl 1256.35165 LeFloch, Philippe G.; Rendall, Alan D. 18 2011 Relativistic Burgers equations on curved spacetimes. Derivation and finite volume approximation. Zbl 1258.35143 LeFloch, Philippe G.; Makhlof, Hasan; Okutmustur, Baver 17 2012 Why many theories of shock waves are necessary: Kinetic functions, equivalent equations, and fourth-order models. Zbl 1264.76055 LeFloch, Philippe G.; Mohammadian, Majid 17 2008 Hyperbolic conservation laws on manifolds: total variation estimates and the finite volume method. Zbl 1114.35121 Amorim, Paulo; Ben-Artzi, Matania; LeFloch, Philippe G. 17 2005 Computational method for propagating phase boundaries. Zbl 0855.73080 Zhong, Xiaoguang; Hou, Thomas Y.; LeFloch, Philippe G. 16 1996 Generalized monotone schemes, discrete paths of extrema, and discrete entropy conditions. Zbl 0915.35069 LeFloch, Philippe G.; Liu, Jian-Guo 16 1999 The formation of trapped surfaces in spherically-symmetric Einstein-Euler spacetimes with bounded variation. Zbl 1302.83004 Burtscher, Annegret Y.; LeFloch, Philippe G. 16 2014 Uniqueness via the adjoint problems for systems of conservation laws. Zbl 0797.35116 Le Floch, Philippe; Xin, Zhouping 16 1993 Nonlinear stability of self-gravitating irrotational Chaplygin fluids in a FLRW geometry. Zbl 1464.83026 LeFloch, Philippe G.; Wei, Changhua 16 2021 Diffusive-dispersive traveling waves and kinetic relations. III: An hyperbolic model of elastodynamics. Zbl 1119.35340 Bedjaoui, Nabil; LeFloch, Philippe G. 14 2001 The Glimm scheme for perfect fluids on plane-symmetric Gowdy spacetimes. Zbl 1080.83011 Barnes, A. P.; LeFloch, P. G.; Schmidt, B. G.; Stewart, J. M. 14 2004 Multivalued solutions to some nonlinear and non-strictly hyperbolic systems. Zbl 0768.35058 Forestier, Alain; Le Floch, Philippe 14 1992 Convergent and conservative schemes for nonclassical solutions based on kinetic relations. I. Zbl 1157.65435 Boutin, Benjamin; Chalons, Christophe; Lagoutière, Frédéric; LeFloch, Philippe G. 14 2008 Finite volume schemes on Lorentzian manifolds. Zbl 1179.35027 Amorim, Paulo; LeFloch, Philippe G.; Okutmustur, Baver 14 2008 A version of the Glimm method based on generalized Riemann problems. Zbl 1125.35003 Hong, John M.; LeFloch, Philippe G. 14 2007 Kinetic relations for undercompressive shock waves. Physical, mathematical, and numerical issues. Zbl 1221.35235 LeFloch, Philippe G. 14 2010 Nonclassical Riemann solvers and kinetic relations III: A nonconvex hyperbolic model for Van der Waals fluids. Zbl 0962.35121 LeFloch, Philippe G.; Mai Duc Thanh 13 2000 High-order entropy-conservative schemes and kinetic relations for van der Waals fluids. Zbl 1074.76583 Chalons, C.; LeFloch, P. G. 13 2001 An entropy satisfying MUSCL scheme for systems of conservation laws. Zbl 0860.65076 Coquel, Frédéric; LeFloch, Philippe G. 13 1996 Boundary layers in weak solutions of hyperbolic conservation laws. II: Self-similar vanishing diffusion limits. Zbl 1020.35055 Joseph, K. T.; LeFloch, Philippe G. 13 2002 Diffusive-dispersive traveling waves and kinetic relations. IV: Compressible Euler equations. Zbl 1033.35074 Bedjaoui, N.; LeFloch, P. G. 12 2003 Weakly regular fluid flows with bounded variation on the domain of outer communication of a Schwarzschild black hole spacetime. Zbl 1354.35105 LeFloch, Philippe G.; Xiang, Shuyang 12 2016 A geometry-preserving finite volume method for compressible fluids on Schwarzschild spacetime. Zbl 1373.76135 Le Floch, Philippe G.; Makhlof, Hasan 12 2014 Schemes with well-controlled dissipation. hyperbolic systems in nonconservative form. Zbl 1373.76155 Beljadid, Abdelaziz; Lefloch, Philippe G.; Mishra, Siddhartha; Parés, Carlos 12 2017 Injectivity radius of Lorentzian manifolds. Zbl 1156.53040 Chen, Bing-Long; LeFloch, Philippe G. 12 2008 Nonclassical Riemann solvers with nucleation. Zbl 1090.35121 LeFloch, P. G.; Shearer, M. 11 2004 Symmetries and global solvability of the isothermal gas dynamics equations. Zbl 1178.76302 LeFloch, Philippe G.; Shelukhin, Vladimir 11 2005 A level-set approach to the computation of twinning and phase-transition dynamics. Zbl 0936.74052 Hou, Thomas Y.; Rosakis, Phoebus; LeFloch, Philippe 11 1999 Nonclassical Riemann solvers and kinetic relations. I: A nonconvex hyperbolic model of phase transitions. Zbl 1020.35056 LeFloch, Philippe G.; Mai Duc Thanh 11 2001 Self-gravitating fluid flows with Gowdy symmetry near cosmological singularities. Zbl 1382.35299 Beyer, Florian; LeFloch, Philippe G. 11 2017 A global asymptotic expansion for the solution to the generalized Riemann problem. Zbl 0731.35006 Le Floch, Philippe; Li, Tatsien 11 1990 Hyperbolic conservation laws on space-times. A finite volume scheme based on differential forms. Zbl 1178.35250 LeFloch, Philippe G.; Okutmustur, Baver 11 2008 Properties of Rankine-Hugoniot curves for van der Waals fluids. Zbl 1044.76029 LeFloch, Philippe G.; Mai Duc Thanh 10 2003 A fully discrete scheme for diffusive-dispersive conservation laws. Zbl 1013.65096 Chalons, C.; LeFloch, P. G. 10 2001 A class of solutions to the Einstein equations with AVTD behavior in generalized wave gauges. Zbl 1376.83006 Ames, Ellery; Beyer, Florian; Isenberg, James; LeFloch, Philippe G. 10 2017 Nonlinear stability of self-gravitating massive fields. A wave-Klein-Gordon model. Zbl 1517.83063 LeFloch, Philippe G.; Ma, Yue 7 2023 The seed-to-solution method for the Einstein constraints and the asymptotic localization problem. Zbl 07729959 LeFloch, Philippe G.; Nguyen, The-Cang 3 2023 Boundedness of the conformal hyperboloidal energy for a wave-Klein-Gordon model. Zbl 1531.35069 LeFloch, Philippe G.; Oliver, Jesús; Tsutsumi, Yoshio 1 2023 Einstein-Klein-Gordon spacetimes in the harmonic near-Minkowski regime. Zbl 1515.83035 LeFloch, Philippe G.; Ma, Yue 5 2022 Cyclic spacetimes through singularity scattering maps. The laws of quiescent bounces. Zbl 1522.83443 Le Floch, Bruno; LeFloch, Philippe G.; Veneziano, Gabriele 4 2022 A structure-preserving algorithm for surface water flows with transport processes. Zbl 1489.65128 Karjoun, Hasan; Beljadid, Abdelaziz; LeFloch, Philippe G. 3 2022 Global evolution of the U(1) Higgs boson: nonlinear stability and uniform energy bounds. Zbl 1469.35182 Dong, Shijie; LeFloch, Philippe Gerard; Wyatt, Zoe 20 2021 Nonlinear stability of self-gravitating irrotational Chaplygin fluids in a FLRW geometry. Zbl 1464.83026 LeFloch, Philippe G.; Wei, Changhua 16 2021 Coupling techniques for nonlinear hyperbolic equations. II: Resonant interfaces with internal structure. Zbl 1469.35141 Boutin, Benjamin; Coquel, Frédéric; LeFloch, Philippe G. 3 2021 Kinetic functions for nonclassical shocks, entropy stability, and discrete summation by parts. Zbl 1484.65183 LeFloch, Philippe G.; Ranocha, Hendrik 2 2021 Asymptotic structure of cosmological Burgers flows in one and two space dimensions: a numerical study. Zbl 1480.76166 Cao, Yangyang; Ghazizadeh, Mohammad A.; LeFloch, Philippe G. 1 2021 A numerical algorithm for Fuchsian equations and fluid flows on cosmological spacetimes. Zbl 07511457 Beyer, Florian; LeFloch, Philippe G. 1 2021 Nonlinear stability of blow-up solutions to the hyperbolic mean curvature flow. Zbl 1442.35047 LeFloch, Philippe G.; Yan, Weiping 6 2020 Compensated compactness and corrector stress tensor for the Einstein equations in \(\mathbb{T}^2\) symmetry. Zbl 1469.83008 Le Floch, Bruno; Lefloch, Philippe G. 5 2020 Formulation and convergence of the finite volume method for conservation laws on spacetimes with boundary. Zbl 1436.65122 Giesselmann, Jan; LeFloch, Philippe G. 2 2020 Mesh-free error integration in arbitrary dimensions: a numerical study of discrepancy functions. Zbl 1506.65049 LeFloch, Philippe G.; Mercier, Jean-Marc 1 2020 On the global evolution of self-gravitating matter. Nonlinear interactions in Gowdy symmetry. Zbl 1416.83034 Le Floch, Bruno; Le Floch, Philippe G. 7 2019 Late-time asymptotic behavior of solutions to hyperbolic conservation laws on the sphere. Zbl 1441.58015 Beljadid, Abdelaziz; LeFloch, Philippe G.; Mohammadian, Abdolmajid 5 2019 Weakly regular fluid flows with bounded variation on the domain of outer communication of a Schwarzschild black hole spacetime. II. Zbl 1411.35201 LeFloch, Philippe G.; Xiang, Shuyang 5 2019 Convergence of the finite volume method on a Schwarzschild background. Zbl 1435.35381 Dong, Shijie; LeFloch, Philippe G. 2 2019 The global nonlinear stability of Minkowski space for self-gravitating massive fields. Zbl 1434.83005 LeFloch, Philippe G.; Ma, Yue 27 2018 A finite volume method for the relativistic Burgers equation on a FLRW background spacetime. Zbl 1488.65328 Ceylan, Tuba; LeFloch, Philippe G.; Okutmustur, Baver 8 2018 Boundedness of the total energy of relativistic membranes evolving in a curved spacetime. Zbl 1390.35357 LeFloch, Philippe G.; Wei, Changhua 7 2018 A numerical study of the relativistic Burgers and Euler equations on a Schwarzschild black hole exterior. Zbl 1408.65063 LeFloch, Philippe; Xiang, Shuyang 4 2018 Ergodicity and Hopf-Lax-Oleinik formula for fluid flows evolving around a black hole under a random forcing. Zbl 1421.35362 Bakhtin, Yuri; LeFloch, Philippe G. 2 2018 The global nonlinear stability of Minkowski spacetime for self-gravitating massive fields. Zbl 1411.83011 LeFloch, Philippe G. 1 2018 A new approach to the Cauchy and Goursat problems for the nonlinear Wheeler-DeWitt equation. Zbl 1391.83138 Dias, João-Paulo; LeFloch, Philippe G. 1 2018 Nonlocal conservation laws. A new class of monotonicity-preserving models. Zbl 1377.35196 Du, Qiang; Huang, Zhan; LeFloch, Philippe G. 20 2017 Schemes with well-controlled dissipation. hyperbolic systems in nonconservative form. Zbl 1373.76155 Beljadid, Abdelaziz; Lefloch, Philippe G.; Mishra, Siddhartha; Parés, Carlos 12 2017 Self-gravitating fluid flows with Gowdy symmetry near cosmological singularities. Zbl 1382.35299 Beyer, Florian; LeFloch, Philippe G. 11 2017 A class of solutions to the Einstein equations with AVTD behavior in generalized wave gauges. Zbl 1376.83006 Ames, Ellery; Beyer, Florian; Isenberg, James; LeFloch, Philippe G. 10 2017 The mathematical validity of the \(f(R)\) theory of modified gravity. Zbl 1372.83003 LeFloch, Philippe G.; Ma, Yue 3 2017 A new method for solving Kolmogorov equations in mathematical finance. (Une nouvelle méthode pour résoudre les équations de Kolmogorov en finance mathématique.) Zbl 1419.91651 LeFloch, Philippe G.; Mercier, Jean-Marc 3 2017 The global nonlinear stability of Minkowski space for self-gravitating massive fields. The wave-Klein-Gordon model. Zbl 1359.83003 LeFloch, Philippe G.; Ma, Yue 56 2016 Finite energy method for compressible fluids: the Navier-Stokes-Korteweg model. Zbl 1339.35240 Germain, Pierre; Lefloch, Philippe 34 2016 Lagrangian formulation and a priori estimates for relativistic fluid flows with vacuum. Zbl 1333.35198 Jang, Juhi; LeFloch, Philippe G.; Masmoudi, Nader 22 2016 Weakly regular fluid flows with bounded variation on the domain of outer communication of a Schwarzschild black hole spacetime. Zbl 1354.35105 LeFloch, Philippe G.; Xiang, Shuyang 12 2016 The global nonlinear stability of Minkowski space for the Einstein equations in the presence of a massive field. (Stabilité non linéaire globale de l’espace-temps de Minkowski pour les champs massifs.) Zbl 1347.83008 LeFloch, Philippe G.; Ma, Yue 9 2016 Future asymptotics and geodesic completeness of polarized T2-symmetric spacetimes. Zbl 1342.83010 Lefloch, Philippe; Smulevici, Jacques 6 2016 Weakly regular \(T^2\)-symmetric spacetimes. The future causal geometry of Gowdy spacetimes. Zbl 1331.35341 LeFloch, Philippe G.; Smulevici, Jacques 3 2016 The positive mass theorem for manifolds with distributional curvature. Zbl 1330.53062 Lee, Dan A.; LeFloch, Philippe G. 21 2015 The nonlinear stability of rotationally symmetric spaces with low regularity. Zbl 1316.53058 LeFloch, Philippe G.; Sormani, Christina 18 2015 Coupling techniques for nonlinear hyperbolic equations. IV: Well-balanced schemes for scalar multi-dimensional and multi-component laws. Zbl 1310.65097 Boutin, Benjamin; Coquel, Frédéric; LeFloch, Philippe G. 6 2015 On the area of the symmetry orbits in weakly regular Einstein-Euler spacetimes with Gowdy symmetry. Zbl 1320.83022 Grubic, Nastasia; LeFloch, Philippe G. 5 2015 Weakly regular \(T^2\)-symmetric spacetimes. The global geometry of future Cauchy developments. Zbl 1321.83010 LeFloch, Philippe G.; Smulevici, Jacques 5 2015 Schemes with well-controlled dissipation. Zbl 1318.65049 Ernest, Jan; LeFloch, Philippe G.; Mishra, Siddhartha 4 2015 Revisiting the method of characteristics via a convex hull algorithm. Zbl 1349.76623 LeFloch, Philippe G.; Mercier, Jean-Marc 3 2015 Existence and uniqueness results for the pressureless Euler-Poisson system in one spatial variable. Zbl 1343.35162 LeFloch, Philippe G.; Xiang, Shuyang 3 2015 The mathematical theory of self-similar boundary layers for nonlinear hyperbolic systems with viscosity and capillarity. Zbl 1343.35160 Choudhury, Anupam Pal; Joseph, K. T.; LeFloch, Philippe G. 1 2015 The hyperboloidal foliation method. Zbl 1320.53001 LeFloch, Philippe G.; Ma, Yue 45 2014 High-order asymptotic-preserving methods for fully nonlinear relaxation problems. Zbl 1426.76455 Boscarino, Sebastiano; LeFloch, Philippe G.; Russo, Giovanni 40 2014 Numerical methods with controlled dissipation for small-scale dependent shocks. Zbl 1398.65211 LeFloch, Philippe G.; Mishra, Siddhartha 21 2014 The formation of trapped surfaces in spherically-symmetric Einstein-Euler spacetimes with bounded variation. Zbl 1302.83004 Burtscher, Annegret Y.; LeFloch, Philippe G. 16 2014 A geometry-preserving finite volume method for compressible fluids on Schwarzschild spacetime. Zbl 1373.76135 Le Floch, Philippe G.; Makhlof, Hasan 12 2014 The equations of elastostatics in a Riemannian manifold. Zbl 1307.74019 Grubic, Nastasia; LeFloch, Philippe G.; Mardare, Cristinel 8 2014 Structure-preserving shock-capturing methods: late-time asymptotics, curved geometry, small-scale dissipation, and nonconservative products. Zbl 1304.76041 LeFloch, Philippe G. 4 2014 Null injectivity estimate under an upper bound on the curvature. Zbl 1334.53075 Grant, James D. E.; LeFloch, Philippe G. 3 2014 Quasilinear hyperbolic Fuchsian systems and AVTD behavior in \(T ^{2}\)-symmetric vacuum spacetimes. Zbl 1272.83009 Ames, Ellery; Beyer, Florian; Isenberg, James; LeFloch, Philippe G. 20 2013 Late-time/stiff-relaxation asymptotic-preserving approximations of hyperbolic equations. Zbl 1317.65182 Berthon, Christophe; LeFloch, Philippe G.; Turpault, Rodolphe 19 2013 Quasilinear symmetric hyperbolic Fuchsian systems in several space dimensions. Zbl 1320.35193 Ames, Ellery; Beyer, Florian; Isenberg, James; LeFloch, Philippe G. 9 2013 Weakly regular Einstein-Euler spacetimes with Gowdy symmetry: the global areal foliation. Zbl 1266.83027 Grubic, Nastasia; LeFloch, Philippe G. 8 2013 Coupling techniques for nonlinear hyperbolic equations. III: The well-balanced approximation of thick interfaces. Zbl 1371.35172 Boutin, Benjamin; Coquel, Frédéric; LeFloch, Philippe G. 7 2013 Hyperbolic balance laws with entropy on a curved spacetime: the weak-strong uniqueness theory. Zbl 1288.35344 LeFloch, Philippe G. 3 2013 The linear stability of shock waves for the nonlinear Schrödinger-inviscid Burgers system. Zbl 1307.35271 Amorim, Paulo; Dias, João-Paulo; Figueira, Mário; LeFloch, Philippe G. 3 2013 Why many theories of shock waves are necessary: kinetic relations for non-conservative systems. Zbl 1234.35190 Berthon, Christophe; Coquel, Frédéric; LeFloch, Philippe G. 20 2012 Relativistic Burgers equations on curved spacetimes. Derivation and finite volume approximation. Zbl 1258.35143 LeFloch, Philippe G.; Makhlof, Hasan; Okutmustur, Baver 17 2012 A Godunov-type method for the shallow water equations with discontinuous topography in the resonant regime. Zbl 1453.35150 LeFloch, Philippe G.; Thanh, Mai Duc 63 2011 The characteristic initial value problem for plane symmetric spacetimes with weak regularity. Zbl 1222.83028 LeFloch, Philippe G.; Stewart, John M. 22 2011 A global foliation of Einstein-Euler spacetimes with Gowdy-symmetry on \(T ^{3}\). Zbl 1256.35165 LeFloch, Philippe G.; Rendall, Alan D. 18 2011 Coupling techniques for nonlinear hyperbolic equations. I: Self-similar diffusion for thin interfaces. Zbl 1252.35188 Boutin, Benjamin; Coquel, Frédéric; LeFloch, Philippe G. 5 2011 Hyperbolic conservation laws on spacetimes. Zbl 1248.35124 LeFloch, Philippe G. 5 2011 Plane-symmetric spacetimes with positive cosmological constant: the case of stiff fluids. Zbl 1247.83012 LeFloch, Philippe G.; Tchapnda, Sophonie B. 5 2011 A geometric approach to error estimates for conservation laws posed on a spacetime. Zbl 1221.35229 Amorim, Paulo; LeFloch, Philippe G.; Neves, Wladimir 4 2011 Einstein spacetimes with weak regularity. Zbl 1234.53006 LeFloch, Philippe G. 1 2011 Second-order hyperbolic Fuchsian systems and applications. Zbl 1206.83025 Beyer, Florian; LeFloch, Philippe G. 20 2010 Kinetic relations for undercompressive shock waves. Physical, mathematical, and numerical issues. Zbl 1221.35235 LeFloch, Philippe G. 14 2010 Uniqueness of Kottler spacetime and the Besse conjecture. (Unicité de l’espace-temps de Kottler et conjecture de Besse.) Zbl 1202.83068 LeFloch, Philippe G.; Rozoy, Luc 5 2010 Global geometry of \(T^2\)-symmetric spacetimes with weak regularity. Zbl 1205.83017 LeFloch, Philippe G.; Smulevici, Jacques 5 2010 Existence of naked singularities in the Brans-Dicke theory of gravitation. An analytical and numerical study. Zbl 1208.83081 Bedjaoui, Nabil; LeFloch, Philippe G.; Martín-García, José M.; Novak, Jérôme 4 2010 Diminishing functionals for nonclassical entropy solutions selected by kinetic relations. Zbl 1207.35219 Laforest, Marc; LeFloch, Philippe G. 3 2010 A symmetrization of the relativistic Euler equations with several spatial variables. Zbl 1192.35118 LeFloch, Philippe G.; Ukai, Seiji 20 2009 Hyperbolic conservation laws on the sphere. A geometry-compatible finite volume scheme. Zbl 1168.65372 Ben-Artzi, Matania; Falcovitz, Joseph; LeFloch, Philippe G. 18 2009 Hyperbolic conservation laws on manifolds. An error estimate for finite volume schemes. Zbl 1178.35251 LeFloch, Philippe G.; Okutmustur, Baver; Neves, Wladimir 10 2009 Local foliations and optimal regularity of Einstein spacetimes. Zbl 1179.53069 Chen, Bing-Long; LeFloch, Philippe G. 6 2009 A kinetic decomposition for singular limits of non-local conservation laws. Zbl 1180.35349 Kissling, Frederike; LeFloch, Philippe G.; Rohde, Christian 4 2009 Kinetic functions in magnetohydrodynamics with resistivity and Hall effect. Zbl 1212.35301 LeFloch, Philippe G.; Mishra, Siddhartha 4 2009 Computing Gowdy spacetimes via spectral evolution in future and past directions. Zbl 1158.83301 Amorim, Paulo; Bernardi, Christine; LeFloch, Philippe G. 3 2009 Isometric immersions into the Minkowski spacetime for Lorentzian manifolds with limited regularity. Zbl 1161.53063 Lefloch, Philippe G.; Mardare, Cristinel; Mardare, Sorin 3 2009 Generalized time-periodic solutions to the Euler equations of compressible fluids. Zbl 1169.35368 Georgiev, Svetlin; Lefloch, Philippe G. 1 2009 Why many theories of shock waves are necessary: convergence error in formally path-consistent schemes. Zbl 1176.76084 Castro, Manuel J.; LeFloch, Philippe G.; Muñoz-Ruiz, María Luz; Parés, Carlos 116 2008 The minimum entropy principle for compressible fluid flows in a nozzle with discontinuous cross-section. Zbl 1139.76048 Kröner, Dietmar; LeFloch, Philippe G.; Thanh, Mai-Duc 35 2008 The hyperbolic mean curvature flow. Zbl 1159.53025 LeFloch, Philippe G.; Smoczyk, Knut 24 2008 Why many theories of shock waves are necessary: Kinetic functions, equivalent equations, and fourth-order models. Zbl 1264.76055 LeFloch, Philippe G.; Mohammadian, Majid 17 2008 Convergent and conservative schemes for nonclassical solutions based on kinetic relations. I. Zbl 1157.65435 Boutin, Benjamin; Chalons, Christophe; Lagoutière, Frédéric; LeFloch, Philippe G. 14 2008 Finite volume schemes on Lorentzian manifolds. Zbl 1179.35027 Amorim, Paulo; LeFloch, Philippe G.; Okutmustur, Baver 14 2008 Injectivity radius of Lorentzian manifolds. Zbl 1156.53040 Chen, Bing-Long; LeFloch, Philippe G. 12 2008 Hyperbolic conservation laws on space-times. A finite volume scheme based on differential forms. Zbl 1178.35250 LeFloch, Philippe G.; Okutmustur, Baver 11 2008 Hyperbolic conservation laws and spacetimes with limited regularity. Zbl 1140.35301 LeFloch, P. G. 4 2008 Hyperbolic conservation laws on manifolds with limited regularity. Zbl 1145.35428 LeFloch, Philippe G.; Okutmustur, Baver 4 2008 Injectivity radius and optimal regularity of Lorentzian manifolds with bounded curvature. Zbl 1191.53052 LeFloch, Philippe G. 3 2008 ...and 108 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,113 Authors 104 LeFloch, Philippe Gerard 49 Mai Duc Thanh 47 Dumbser, Michael 46 Coclite, Giuseppe Maria 39 Di Ruvo, Lorenzo 34 Parés Madroñal, Carlos 30 Toro, Eleuterio Francisco 28 Chalons, Christophe 27 Chen, Gui-Qiang G. 24 Berthon, Christophe 24 Castro, Manuel J. 24 Sarrico, Carlos Orlando R. 22 Yang, Hanchun 21 Colombo, Rinaldo M. 21 Rohde, Christian 20 Coquel, Frédéric 20 Hérard, Jean-Marc 17 Shao, Zhiqiang 16 Castro-Díaz, Manuel Jesús 16 Corli, Andrea 16 Dong, Shijie 16 Gassner, Gregor J. 16 Karlsen, Kenneth Hvistendahl 16 Mishra, Siddhartha 15 Bürger, Raimund 15 Seguin, Nicolas 15 Shen, Chun 15 Sheng, Wancheng 15 Sun, Meina 14 Cuong, Dao Huy 14 Goatin, Paola 14 Rosini, Massimiliano Daniele 13 Abgrall, Rémi 13 Boscarino, Sebastiano 13 Cheng, Hongjun 13 Fernández-Nieto, Enrique Domingo 13 Gosse, Laurent 13 Ma, Yue 13 Mitrovic, Darko 13 Ranocha, Hendrik 13 Russo, Giovanni 13 Wei, Changhua 12 Bressan, Alberto 12 Hong, John Meng-Kai 12 Joseph, Kayyunnapara Thomas 12 Morales de Luna, Tomás 12 Tang, Huazhong 12 Winters, Andrew R. 11 Andreianov, Boris 11 Giesselmann, Jan 11 Kröner, Dietmar 11 Kurganov, Alexander 11 Li, Jiequan 11 Li, Shiwei 11 Liu, Tiegang 11 Montecinos, Gino I. 11 Mulet, Pep 11 Shu, Chi-Wang 10 Balsara, Dinshaw S. 10 Chugaĭnova, Anna Pavlova 10 Després, Bruno 10 Risebro, Nils Henrik 9 Ancona, Fabio 9 Brull, Stephane 9 Dias, João-Paulo 9 Du, Qiang 9 Dubey, Ritesh Kumar 9 Garavello, Mauro 9 Godlewski, Edwige 9 Kunzinger, Michael 9 Müller, Siegfried 9 Nkonga, Boniface 9 Piccoli, Benedetto 9 Speck, Jared 9 Steinbauer, Roland 9 Svärd, Magnus 9 Tadmor, Eitan 9 Wang, Zenggui 9 Wyatt, Zoe 8 Ben-Artzi, Matania 8 Beyer, Florian 8 Chandrashekar, Praveen 8 Danilov, Vladimir G. 8 Duan, Junming 8 Fajman, David 8 Frid, Hermano 8 Gowda, G. D. Veerappa 8 Herty, Michael Matthias 8 Lagoutière, Frédéric 8 Lu, Yunguang 8 Murillo, Javier 8 Oliynyk, Todd Andrew 8 Raviart, Pierre-Arnaud 8 Sekhar, T. Raja 8 Smulevici, Jacques 8 Turpault, Rodolphe 8 Vinh, Duong Xuan 7 Abreu, Eduardo 7 Aguillon, Nina 7 Amadori, Debora ...and 2,013 more Authors all top 5 Cited in 284 Serials 231 Journal of Computational Physics 103 Journal of Differential Equations 76 Journal of Hyperbolic Differential Equations 72 Journal of Scientific Computing 59 Computers and Fluids 47 Journal of Mathematical Analysis and Applications 42 Mathematics of Computation 41 Archive for Rational Mechanics and Analysis 38 Applied Mathematics and Computation 36 ZAMP. Zeitschrift für angewandte Mathematik und Physik 36 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 33 Computer Methods in Applied Mechanics and Engineering 33 Journal of Mathematical Physics 33 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 27 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 25 Nonlinear Analysis. Real World Applications 24 Communications in Mathematical Physics 23 Mathematical Methods in the Applied Sciences 23 Applied Numerical Mathematics 22 Classical and Quantum Gravity 22 SIAM Journal on Mathematical Analysis 20 Communications in Computational Physics 19 SIAM Journal on Numerical Analysis 19 SIAM Journal on Scientific Computing 17 Quarterly of Applied Mathematics 17 Communications in Partial Differential Equations 17 Comptes Rendus. Mathématique. Académie des Sciences, Paris 16 Annales Henri Poincaré 15 Computers & Mathematics with Applications 15 Numerische Mathematik 14 Numerical Methods for Partial Differential Equations 14 Networks and Heterogeneous Media 13 Journal of Computational and Applied Mathematics 13 SIAM Journal on Applied Mathematics 12 General Relativity and Gravitation 12 International Journal for Numerical Methods in Fluids 12 Chinese Annals of Mathematics. Series B 12 Acta Applicandae Mathematicae 12 Physica D 12 Journal de Mathématiques Pures et Appliquées. Neuvième Série 12 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 12 Communications on Pure and Applied Analysis 12 Communications on Applied Mathematics and Computation 11 Communications on Pure and Applied Mathematics 11 Nonlinearity 11 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 11 Communications in Nonlinear Science and Numerical Simulation 10 Applicable Analysis 10 BIT 10 Transactions of the American Mathematical Society 10 Discrete and Continuous Dynamical Systems 10 Bulletin of the Brazilian Mathematical Society. New Series 10 Oberwolfach Reports 9 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 9 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 9 International Journal on Finite Volumes 8 Journal of Fluid Mechanics 8 Journal of Geometry and Physics 8 Studies in Applied Mathematics 8 Applied Mathematics Letters 8 Discrete and Continuous Dynamical Systems. Series B 8 Annals of PDE 7 Mathematische Annalen 7 Journal of Elasticity 7 Calculus of Variations and Partial Differential Equations 7 Abstract and Applied Analysis 7 Multiscale Modeling & Simulation 7 Advances in Applied Mathematics and Mechanics 7 Science China. Mathematics 6 Indian Journal of Pure & Applied Mathematics 6 Letters in Mathematical Physics 6 Acta Mathematicae Applicatae Sinica. English Series 6 Journal of Dynamics and Differential Equations 6 Continuum Mechanics and Thermodynamics 6 Advances in Computational Mathematics 6 Differential Equations 6 Portugaliae Mathematica. Nova Série 6 Acta Mathematica Scientia. Series B. (English Edition) 6 Analysis & PDE 5 Journal of Functional Analysis 5 Mathematics and Computers in Simulation 5 Computational Mathematics and Mathematical Physics 5 Russian Journal of Mathematical Physics 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Taiwanese Journal of Mathematics 5 Journal of Mathematical Fluid Mechanics 5 Interfaces and Free Boundaries 5 Journal of the European Mathematical Society (JEMS) 5 Acta Mathematica Sinica. English Series 5 Computational Geosciences 5 Journal of Evolution Equations 5 Acta Numerica 5 Mathematical Biosciences and Engineering 5 Discrete and Continuous Dynamical Systems. Series S 5 Nonlinear Analysis. Theory, Methods & Applications 4 Journal of the Mechanics and Physics of Solids 4 Advances in Mathematics 4 Calcolo 4 Mathematische Nachrichten 4 RAIRO. Modélisation Mathématique et Analyse Numérique ...and 184 more Serials all top 5 Cited in 48 Fields 1,488 Partial differential equations (35-XX) 1,011 Fluid mechanics (76-XX) 733 Numerical analysis (65-XX) 187 Relativity and gravitational theory (83-XX) 142 Differential geometry (53-XX) 115 Mechanics of deformable solids (74-XX) 69 Operations research, mathematical programming (90-XX) 58 Global analysis, analysis on manifolds (58-XX) 52 Statistical mechanics, structure of matter (82-XX) 39 Calculus of variations and optimal control; optimization (49-XX) 38 Functional analysis (46-XX) 36 Geophysics (86-XX) 34 Biology and other natural sciences (92-XX) 32 Classical thermodynamics, heat transfer (80-XX) 24 Probability theory and stochastic processes (60-XX) 24 Quantum theory (81-XX) 23 Astronomy and astrophysics (85-XX) 22 Dynamical systems and ergodic theory (37-XX) 20 Systems theory; control (93-XX) 19 Ordinary differential equations (34-XX) 17 Mechanics of particles and systems (70-XX) 17 Optics, electromagnetic theory (78-XX) 13 Integral equations (45-XX) 10 General and overarching topics; collections (00-XX) 10 Real functions (26-XX) 9 Operator theory (47-XX) 8 Approximations and expansions (41-XX) 8 Computer science (68-XX) 7 Statistics (62-XX) 6 Geometry (51-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Manifolds and cell complexes (57-XX) 4 Algebraic geometry (14-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Topological groups, Lie groups (22-XX) 4 Measure and integration (28-XX) 3 Difference and functional equations (39-XX) 2 \(K\)-theory (19-XX) 2 General topology (54-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Convex and discrete geometry (52-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.