Philippe G. LeFloch

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Mai Duc ThanhVerified email at hcmiu.edu.vn
CoquelDR, CNRS, Ecole PolytechniqueVerified email at cmap.polytechnique.fr
Florian BeyerUniversity of OtagoVerified email at maths.otago.ac.nz
Baver OkutmuşturMember of Department of Mathematics, METUVerified email at metu.edu.tr
Christian RohdeUniversität StuttgartVerified email at mathematik.uni-stuttgart.de
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
Paulo AmorimFGV - EMApVerified email at fgv.br
Bernardo CockburnProfessor of Mathematics, University of MinnesotaVerified email at math.umn.edu
goatin paolaINRIAVerified email at inria.fr
Abdelaziz Beljadidprof UM6PVerified email at mit.edu
Siddhartha MishraProfessor of Applied Mathematics, ETH Zurich, SwitzerlandVerified email at sam.math.ethz.ch
Matania Ben-ArtziHebrew University of JerusalemVerified email at mail.huji.ac.il
Manuel J. Castro DíazUniversidad de MálagaVerified email at uma.es
Benedetto PiccoliDepartment of Mathematical Sciences and Center for Computational and Integrative Biology, RutgersVerified email at camden.rutgers.edu
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	1096	1995
Hyperbolic systems of conservation laws. Lectures in Mathematics ETH Zürich PG LeFloch Birkhäuser Verlag, Basel, 2002	760*	2002
Why nonconservative schemes converge to wrong solutions: error analysis TY Hou, PG LeFloch Mathematics of computation 62 (206), 497-530, 1994	452	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	264	2008
Fully discrete, entropy conservative schemes of arbitraryorder PG Lefloch, JM Mercier, C Rohde SIAM Journal on Numerical Analysis 40 (5), 1968-1992, 2002	231	2002
Shock waves for nonlinear hyperbolic systems in nonconservative form P Le Floch	203	1989
Entropy weak solutions to nonlinear hyperbolic systems under nonconservative form PL Floch Communications in partial differential equations 13 (6), 669-727, 1988	192	1988
Non-classical shocks and kinetic relations: Scalar conservation laws BT Hayes, PG LeFloch Archive for Rational Mechanics and Analysis 139, 1-56, 1997	180	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	172	2004
Existence theory for nonlinear hyperbolic systems in nonconservative form PL Floch, TP Liu Walter de Gruyter, Berlin/New York 5 (Jahresband), 261-280, 1993	158	1993
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
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	150	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	147	1997
The Riemann problem for fluid flows in a nozzle with discontinuous cross-section PG Lefloch, MD Thanh	143	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	138	2011
The Riemann problem for the shallow water equations with discontinuous topography PG LeFloch, MD Thanh	128	2007
Representation of weak limits and definition of nonconservative products PG Lefloch, AE Tzavaras SIAM journal on mathematical analysis 30 (6), 1309-1342, 1999	123	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	116	1991
Compressible Euler Equations¶ with General Pressure Law GQ Chen, PG LeFloch Archive for rational mechanics and analysis 153, 221-259, 2000	115	2000
Nonclassical shocks and kinetic relations: strictly hyperbolic systems BT Hayes, PG LeFloch SIAM Journal on Mathematical analysis 31 (5), 941-991, 2000	111	2000

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