# Philippe G. LeFloch

According to our database

Collaborative distances:

^{1}, Philippe G. LeFloch authored at least 33 papers between 1997 and 2021.Collaborative distances:

## Timeline

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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

CoRR, 2020

2019

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

CoRR, 2019

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

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

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