Philippe G. LeFloch
Orcid: 0000-0002-9546-0784
According to our database1,
Philippe G. LeFloch
authored at least 38 papers
between 1997 and 2024.
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Bibliography
2024
2023
A Class of Mesh-Free Algorithms for Some Problems Arising in Finance and Machine Learning.
J. Sci. Comput., June, 2023
2022
Adv. Comput. Math., 2022
2021
Coupling techniques for nonlinear hyperbolic equations. Ⅱ. resonant interfaces with internal structure.
Networks Heterog. Media, 2021
Kinetic Functions for Nonclassical Shocks, Entropy Stability, and Discrete Summation by Parts.
J. Sci. Comput., 2021
A Class of Well-Balanced Algorithms for Relativistic Fluids on a Schwarzschild Background.
J. Sci. Comput., 2021
A numerical algorithm for Fuchsian equations and fluid flows on cosmological spacetimes.
J. Comput. Phys., 2021
2020
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.
CoRR, 2020
CoRR, 2020
2019
Asymptotic structure of cosmological fluid flows in one and two space dimensions: a numerical study.
CoRR, 2019
Asymptotic structure of cosmological Burgers flows in one and two space dimensions: a numerical study.
CoRR, 2019
The Transport-based Mesh-free Method (TMM) and its applications in finance: a review.
CoRR, 2019
Mesh-free error integration in arbitrary dimensions: a numerical study of discrepancy functions.
CoRR, 2019
2017
SIAM J. Numer. Anal., 2017
2015
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
2014
SIAM J. Sci. Comput., 2014
Acta Numer., 2014
2013
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
2012
Relativistic Burgers Equations on Curved Spacetimes. Derivation and Finite Volume Approximation.
SIAM J. Numer. Anal., 2012
2011
A Godunov-type method for the shallow water equations with discontinuous topography in the resonant regime.
J. Comput. Phys., 2011
2009
Hyperbolic conservation laws on the sphere. A geometry-compatible finite volume scheme.
J. Comput. Phys., 2009
2008
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
2002
SIAM J. Numer. Anal., 2002
SIAM J. Math. Anal., 2002
2001
Numerische Mathematik, 2001
2000
SIAM J. Numer. Anal., 2000
SIAM J. Math. Anal., 2000
1999
Generalized monotone schemes, discrete paths of extrema, and discrete entropy conditions.
Math. Comput., 1999
1997
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