Philippe G. LeFloch
According to our database1, Philippe G. LeFloch authored at least 33 papers between 1997 and 2021.
Legend:Book In proceedings Article PhD thesis Other
Kinetic Functions for Nonclassical Shocks, Entropy Stability, and Discrete Summation by Parts.
J. Sci. Comput., 2021
A numerical algorithm for Fuchsian equations and fluid flows on cosmological spacetimes.
J. Comput. Phys., 2021
Formulation and convergence of the finite volume method for conservation laws on spacetimes with boundary.
Numerische Mathematik, 2020
A well-balanced positivity preserving cell-vertex finite volume method satisfying the discrete maximum-minimum principle for coupled models of surface water flow and scalar transport.
Asymptotic structure of cosmological fluid flows in one and two space dimensions: a numerical study.
Asymptotic structure of cosmological Burgers flows in one and two space dimensions: a numerical study.
The Transport-based Mesh-free Method (TMM) and its applications in finance: a review.
Mesh-free error integration in arbitrary dimensions: a numerical study of discrepancy functions.
SIAM J. Numer. Anal., 2017
On the Area of the Symmetry Orbits in Weakly Regular Einstein-Euler Spacetimes with Gowdy Symmetry.
SIAM J. Math. Anal., 2015
Coupling techniques for nonlinear hyperbolic equations. IV. Well-balanced schemes for scalar multi-dimensional and multi-component laws.
Math. Comput., 2015
J. Comput. Phys., 2015
Series in Applied and Computational Mathematics 2, World Scientific, ISBN: 978-981-4641-64-7, 2015
SIAM J. Sci. Comput., 2014
Acta Numer., 2014
Coupling Techniques for Nonlinear Hyperbolic Equations. III. The Well-Balanced Approximation of Thick Interfaces.
SIAM J. Numer. Anal., 2013
Late-time/stiff-relaxation asymptotic-preserving approximations of hyperbolic equations.
Math. Comput., 2013
Relativistic Burgers Equations on Curved Spacetimes. Derivation and Finite Volume Approximation.
SIAM J. Numer. Anal., 2012
A Godunov-type method for the shallow water equations with discontinuous topography in the resonant regime.
J. Comput. Phys., 2011
Hyperbolic conservation laws on the sphere. A geometry-compatible finite volume scheme.
J. Comput. Phys., 2009
Networks Heterog. Media, 2008
Why many theories of shock waves are necessary: Kinetic functions, equivalent equations, and fourth-order models.
J. Comput. Phys., 2008
Why many theories of shock waves are necessary: Convergence error in formally path-consistent schemes.
J. Comput. Phys., 2008
SIAM J. Numer. Anal., 2002
SIAM J. Math. Anal., 2002
Numerische Mathematik, 2001
SIAM J. Numer. Anal., 2000
SIAM J. Math. Anal., 2000
Generalized monotone schemes, discrete paths of extrema, and discrete entropy conditions.
Math. Comput., 1999
Proceedings of the An Introduction to Recent Developments in Theory and Numerics for Conservation Laws: Proceedings of the International School on Theory and Numerics for Conservation Laws, 1997