Philippe G. LeFloch

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CoquelDR, CNRS, Ecole PolytechniqueVerified email at cmap.polytechnique.fr
Mai Duc ThanhVerified email at hcmiu.edu.vn
Baver OkutmuşturInstructor at METUVerified email at metu.edu.tr
Christian RohdeUniversität StuttgartVerified email at mathematik.uni-stuttgart.de
Kayyunnapara Thomas JosephTata Institute of Fundamental ResearchVerified email at math.tifrbng.res.in
Carlos ParésUniversidad de MálagaVerified email at uma.es
Christophe ChalonsUniversité Versailles Saint-Quentin-en-Yvelines, Laboratoire de MathématiquesVerified email at uvsq.fr
Benjamin BoutinMaître de Conférences, Université de RennesVerified email at univ-rennes.fr
Gui-Qiang G. ChenStatutory Professor in the Analysis of Partial Differential Equations, University of OxfordVerified email at maths.ox.ac.uk
Paulo AmorimIM - UFRJVerified email at im.ufrj.br
Bernardo CockburnProfessor of Mathematics, University of MinnesotaVerified email at math.umn.edu
goatin paolaINRIAVerified email at inria.fr
Benedetto PiccoliDepartment of Mathematical Sciences and Center for Computational and Integrative Biology, RutgersVerified email at camden.rutgers.edu
Manuel J. Castro DíazUniversidad de MálagaVerified email at uma.es
Abdelaziz Beljadidprof UM6P - UOttawaVerified email at mit.edu
Siddhartha MishraProfessor of Applied Mathematics, ETH Zurich, SwitzerlandVerified email at sam.math.ethz.ch
Ellery AmesResearch Associate, Humboldt State UniversityVerified email at humboldt.edu
Abdolmajid mohammadianUniversity of OttawaVerified email at uottawa.ca
Athanasios TzavarasKing Abdullah University of Science and Technology (KAUST)Verified email at kaust.edu.sa
Dietmar KroenerUniversity FreiburgVerified email at mathematik.uni-freiburg.de

Philippe G. LeFloch

Research Professor, Sorbonne University

Verified email at philippelefloch.org - Homepage

Partial Differential Equations Mathematical General Relativity Numerical Analysis


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Definition and weak stability of nonconservative products G Dal Maso, PG Lefloch, F Murat Journal de mathématiques pures et appliquées 74 (6), 483-548, 1995	977	1995
Hyperbolic systems of conservation laws. Lectures in Mathematics ETH Zürich PG LeFloch Birkhäuser Verlag, Basel, 2002	707*	2002
Why nonconservative schemes converge to wrong solutions: error analysis TY Hou, PG LeFloch Mathematics of computation 62 (206), 497-530, 1994	411	1994
Why many theories of shock waves are necessary: Convergence error in formally path-consistent schemes MJ Castro, PG LeFloch, ML Muñoz-Ruiz, C Parés Journal of Computational Physics 227 (17), 8107-8129, 2008	229	2008
Fully discrete, entropy conservative schemes of arbitraryorder PG Lefloch, JM Mercier, C Rohde SIAM Journal on Numerical Analysis 40 (5), 1968-1992, 2002	191	2002
Shock waves for nonlinear hyperbolic systems in nonconservative form P Le Floch	186	1989
Entropy weak solutions to nonlinear hyperbolic systems under nonconservative form PL Floch Communications in partial differential equations 13 (6), 669-727, 1988	180	1988
Non-classical shocks and kinetic relations: Scalar conservation laws BT Hayes, PG LeFloch Archive for Rational Mechanics and Analysis 139, 1-56, 1997	178	1997
The Riemann problem for a class of resonant hyperbolic systems of balance laws P Goatin, PG LeFloch Annales de l'Institut Henri Poincaré C, Analyse non linéaire 21 (6), 881-902, 2004	163	2004
An error estimate for finite volume methods for multidimensional conservation laws B Cockburn, F Coquel, P LeFloch mathematics of computation 63 (207), 77-103, 1994	154	1994
Existence theory for nonlinear hyperbolic systems in nonconservative form PL Floch, TP Liu Walter de Gruyter, Berlin/New York 5 (Jahresband), 261-280, 1993	152	1993
Convergence of the finite volume method for multidimensional conservation laws B Cockburn, F Coquel, PG LeFloch SIAM Journal on Numerical Analysis 32 (3), 687-705, 1995	149	1995
Uniqueness of weak solutions to systems of conservation laws A Bressan, P LeFloch Archive for Rational Mechanics and Analysis 140 (4), 301-317, 1997	143	1997
The Riemann problem for fluid flows in a nozzle with discontinuous cross-section PG Lefloch, MD Thanh	129	2003
Compressible Euler Equations¶ with General Pressure Law GQ Chen, PG LeFloch Archive for rational mechanics and analysis 153, 221-259, 2000	110	2000
Nonclassical shocks and kinetic relations: strictly hyperbolic systems BT Hayes, PG LeFloch SIAM Journal on Mathematical analysis 31 (5), 941-991, 2000	109	2000
A Godunov-type method for the shallow water equations with discontinuous topography in the resonant regime PG LeFloch, MD Thanh Journal of Computational Physics 230 (20), 7631-7660, 2011	108	2011
Representation of weak limits and definition of nonconservative products PG Lefloch, AE Tzavaras SIAM journal on mathematical analysis 30 (6), 1309-1342, 1999	108	1999
Convergence of finite difference schemes for conservation laws in several space dimensions: the corrected antidiffusive flux approach F Coquel, P LeFloch Mathematics of computation 57 (195), 169-210, 1991	108	1991
The Riemann problem for the shallow water equations with discontinuous topography PG LeFloch, MD Thanh	105	2007

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