Philippe G. LeFloch

According to our database1, Philippe G. LeFloch authored at least 33 papers between 1997 and 2021.

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Bibliography

2021
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

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

Well-balanced algorithms for relativistic fluids on a Schwarzschild background.
CoRR, 2020

2019
Asymptotic structure of cosmological fluid flows in one and two space dimensions: a numerical study.
CoRR, 2019

Augmented hyperbolic models with diffusive-dispersive shocks.
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
Nonlocal Conservation Laws. A New Class of Monotonicity-Preserving Models.
SIAM J. Numer. Anal., 2017

2015
Schemes with Well-Controlled Dissipation.
SIAM J. Numer. Anal., 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

Revisiting the method of characteristics via a convex hull algorithm.
J. Comput. Phys., 2015

The Hyperboloidal Foliation Method
Series in Applied and Computational Mathematics 2, World Scientific, ISBN: 978-981-4641-64-7, 2015

2014
High-Order Asymptotic-Preserving Methods for Fully Nonlinear Relaxation Problems.
SIAM J. Sci. Comput., 2014

Numerical methods with controlled dissipation for small-scale dependent shocks.
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
Leaf superposition property for integer rectifiable currents.
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
Fully Discrete, Entropy Conservative Schemes of ArbitraryOrder.
SIAM J. Numer. Anal., 2002

Zero Diffusion-Dispersion Limits for Scalar Conservation Laws.
SIAM J. Math. Anal., 2002

2001
A fully discrete scheme for diffusive-dispersive conservation laws.
Numerische Mathematik, 2001

2000
High-Order Schemes, Entropy Inequalities, and Nonclassical Shocks.
SIAM J. Numer. Anal., 2000

Nonclassical Shocks and Kinetic Relations: Strictly Hyperbolic Systems.
SIAM J. Math. Anal., 2000

1999
Generalized monotone schemes, discrete paths of extrema, and discrete entropy conditions.
Math. Comput., 1999

1997
An Introduction to Nonclassical Shocks of Systems of Conservation Laws.
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


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