Christophe Berthon

According to our database, Christophe Berthon authored at least 28 papers between 2005 and 2024.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of four.

2024

A fully well-balanced hydrodynamic reconstruction.

Christophe Berthon, Victor Michel-Dansac

J. Num. Math., September, 2024

An entropy-stable and fully well-balanced scheme for the Euler equations with gravity.

Christophe Berthon, Victor Michel-Dansac, Andrea Thomann

CoRR, 2024

2023

Artificial Viscosity to Get Both Robustness and Discrete Entropy Inequalities.

Christophe Berthon, Manuel Jesús Castro Díaz, Arnaud Duran, Tomás Morales de Luna, Khaled Saleh

J. Sci. Comput., December, 2023

2022

A Very Easy High-Order Well-Balanced Reconstruction for Hyperbolic Systems with Source Terms.

Christophe Berthon, Solène Bulteau, Françoise Foucher, Meissa M'Baye, Victor Michel-Dansac

SIAM J. Sci. Comput., August, 2022

2021

Design of coupled finite volume schemes minimizing the grid orientation effect in reservoir simulation.

Karine Laurent, Eric Flauraud, Christophe Preux, Quang-Huy Tran, Christophe Berthon

J. Comput. Phys., 2021

A stable fixed point method for the numerical simulation of a kinetic collisional sheath.

Mehdi Badsi, Christophe Berthon, Anaïs Crestetto

J. Comput. Phys., 2021

2020

A fully well-balanced scheme for the 1D blood flow equations with friction source term.

Beatrice Ghitti, Christophe Berthon, Minh Hoang Le, Eleuterio F. Toro

J. Comput. Phys., 2020

A two-dimensional high-order well-balanced scheme for the shallow water equations with topography and Manning friction.

Victor Michel-Dansac, Christophe Berthon, Stéphane Clain, Françoise Foucher

CoRR, 2020

2019

Improvement of the Hydrostatic Reconstruction Scheme to Get Fully Discrete Entropy Inequalities.

Christophe Berthon, Arnaud Duran, Françoise Foucher, Khaled Saleh, Jean de Dieu Zabsonré

J. Sci. Comput., 2019

2018

A simple fully well-balanced and entropy preserving scheme for the shallow-water equations.

Christophe Berthon, Victor Michel-Dansac

Appl. Math. Lett., 2018

2017

A well-balanced scheme for the shallow-water equations with topography or Manning friction.

Victor Michel-Dansac, Christophe Berthon, Stéphane Clain, Françoise Foucher

J. Comput. Phys., 2017

2016

Well-balanced schemes to capture non-explicit steady states: Ripa model.

Vivien Desveaux, Markus Zenk, Christophe Berthon, Christian Klingenberg

Math. Comput., 2016

A fully well-balanced, positive and entropy-satisfying Godunov-type method for the shallow-water equations.

Christophe Berthon, Christophe Chalons

Math. Comput., 2016

A Well-Balanced Finite Volume Scheme for a Mixed Hyperbolic/Parabolic System to Model Chemotaxis.

Christophe Berthon, Anaïs Crestetto, Françoise Foucher

J. Sci. Comput., 2016

A well-balanced scheme for the shallow-water equations with topography.

Victor Michel-Dansac, Christophe Berthon, Stéphane Clain, Françoise Foucher

Comput. Math. Appl., 2016

2015

Asymptotic preserving scheme for the shallow water equations with source terms on unstructured meshes.

Arnaud Duran, Fabien Marche, Rodolphe Turpault, Christophe Berthon

J. Comput. Phys., 2015

2013

Late-time/stiff-relaxation asymptotic-preserving approximations of hyperbolic equations.

Christophe Berthon, Philippe G. LeFloch, Rodolphe Turpault

Math. Comput., 2013

Space-time Generalized Riemann Problem Solvers of Order k for Linear Advection with Unrestricted Time Step.

Christophe Berthon, Céline Sarazin, Rodolphe Turpault

J. Sci. Comput., 2013

2012

A Local Entropy Minimum Principle for Deriving Entropy Preserving Schemes.

Christophe Berthon, Bruno Dubroca, Afeintou Sangam

SIAM J. Numer. Anal., 2012

Efficient well-balanced hydrostatic upwind schemes for shallow-water equations.

Christophe Berthon, Françoise Foucher

J. Comput. Phys., 2012

2011

Preface.

Rémi Abgrall, Denise Aregba, Christophe Berthon, Manuel J. Castro, Carlos Parés

J. Sci. Comput., 2011

2008

A Positive Preserving High Order VFRoe Scheme for Shallow Water Equations: A Class of Relaxation Schemes.

Christophe Berthon, Fabien Marche

SIAM J. Sci. Comput., 2008

2007

Nonlinear projection methods for multi-entropies Navier-Stokes systems.

Christophe Berthon, Frédéric Coquel

Math. Comput., 2007

An HLLC Scheme to Solve The <i>M</i> ₁ Model of Radiative Transfer in Two Space Dimensions.

Christophe Berthon, Pierre Charrier, Bruno Dubroca

J. Sci. Comput., 2007

2006

Why the MUSCL-Hancock Scheme is L¹-stable.

Christophe Berthon

Numerische Mathematik, 2006

Numerical approximations of the 10-moment Gaussian closure.

Christophe Berthon

Math. Comput., 2006

Robustness of MUSCL schemes for 2D unstructured meshes.

Christophe Berthon

J. Comput. Phys., 2006

2005

A relaxation method for two-phase flow models with hydrodynamic closure law.

Michael Baudin, Christophe Berthon, Frédéric Coquel, Roland Masson, Quang-Huy Tran

Numerische Mathematik, 2005