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
Florian BeyerUniversity of OtagoVerified email at maths.otago.ac.nz
Carlos ParésUniversidad de MálagaVerified email at uma.es
Kayyunnapara Thomas JosephTata Institute of Fundamental ResearchVerified email at math.tifrbng.res.in
Thomas Y. HouCalifornia Institute of TechnologyVerified email at cms.caltech.edu
Benjamin BoutinMaître de Conférences, Université de RennesVerified email at univ-rennes.fr
Christophe ChalonsUniversité Versailles Saint-Quentin-en-Yvelines, Laboratoire de MathématiquesVerified email at uvsq.fr
Gui-Qiang G. ChenStatutory Professor in the Analysis of Partial Differential Equations, University of OxfordVerified email at maths.ox.ac.uk
Bernardo CockburnProfessor of Mathematics, University of MinnesotaVerified email at math.umn.edu
Paulo AmorimIM - UFRJVerified email at im.ufrj.br
goatin paolaINRIAVerified email at inria.fr
Matania Ben-ArtziHebrew University of JerusalemVerified email at mail.huji.ac.il
Abdelaziz Beljadidprof UM6P - UOttawaVerified email at mit.edu
Siddhartha MishraProfessor of Applied Mathematics, ETH Zurich, SwitzerlandVerified email at sam.math.ethz.ch
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
Jacques SmuleviciSorbonne Université, Laboratoire Jacques-Louis LionsVerified email at sorbonne-universite.fr

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, P Le Floch, F Murat	1016	1995
Hyperbolic systems of conservation laws. Lectures in Mathematics ETH Zürich PG LeFloch Birkhäuser Verlag, Basel, 2002	724*	2002
Why nonconservative schemes converge to wrong solutions: error analysis TY Hou, PG LeFloch Mathematics of computation 62 (206), 497-530, 1994	429	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	239	2008
Fully discrete, entropy conservative schemes of arbitraryorder PG Lefloch, JM Mercier, C Rohde SIAM Journal on Numerical Analysis 40 (5), 1968-1992, 2002	207	2002
Shock waves for nonlinear hyperbolic systems in nonconservative form P Le Floch	196	1989
Entropy weak solutions to nonlinear hyperbolic systems under nonconservative form PL Floch Communications in partial differential equations 13 (6), 669-727, 1988	185	1988
Non-classical shocks and kinetic relations: Scalar conservation laws BT Hayes, PG LeFloch Archive for Rational Mechanics and Analysis 139, 1-56, 1997	175	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	167	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	157	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	156	1993
Uniqueness of weak solutions to systems of conservation laws A Bressan, P LeFloch Archive for Rational Mechanics and Analysis 140 (4), 301-317, 1997	150	1997
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	148	1995
The Riemann problem for fluid flows in a nozzle with discontinuous cross-section PG Lefloch, MD Thanh	130	2003
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	115	2011
The Riemann problem for the shallow water equations with discontinuous topography PG LeFloch, MD Thanh	114	2007
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	113	1991
Representation of weak limits and definition of nonconservative products PG Lefloch, AE Tzavaras SIAM journal on mathematical analysis 30 (6), 1309-1342, 1999	112	1999
Compressible Euler Equations¶ with General Pressure Law GQ Chen, PG LeFloch Archive for rational mechanics and analysis 153, 221-259, 2000	111	2000
Nonclassical shocks and kinetic relations: strictly hyperbolic systems BT Hayes, PG LeFloch SIAM Journal on Mathematical analysis 31 (5), 941-991, 2000	108	2000

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