Christophe Berthon

Publication Activity (10 Years)

Years Active: 2005-2024
Publications (10 Years): 14

Top Topics

Top Venues

J. Comput. Phys.

J. Sci. Comput.

Publications

Christophe Berthon, Victor Michel-Dansac, Andrea Thomann
An entropy-stable and fully well-balanced scheme for the Euler equations with gravity. CoRR (2024)
Christophe Berthon, Manuel Jesús Castro Díaz, Arnaud Duran, Tomás Morales de Luna, Khaled Saleh
Artificial Viscosity to Get Both Robustness and Discrete Entropy Inequalities. J. Sci. Comput. 97 (3) (2023)
Christophe Berthon, Solène Bulteau, Françoise Foucher, Meissa M'Baye, Victor Michel-Dansac
A Very Easy High-Order Well-Balanced Reconstruction for Hyperbolic Systems with Source Terms. SIAM J. Sci. Comput. 44 (4) (2022)
Karine Laurent, Eric Flauraud, Christophe Preux, Quang-Huy Tran, Christophe Berthon
Design of coupled finite volume schemes minimizing the grid orientation effect in reservoir simulation. J. Comput. Phys. 425 (2021)
Mehdi Badsi, Christophe Berthon, Anaïs Crestetto
A stable fixed point method for the numerical simulation of a kinetic collisional sheath. J. Comput. Phys. 429 (2021)
Victor Michel-Dansac, Christophe Berthon, Stéphane Clain, Françoise Foucher
A two-dimensional high-order well-balanced scheme for the shallow water equations with topography and Manning friction. CoRR (2020)
Beatrice Ghitti, Christophe Berthon, Minh Hoang Le, Eleuterio F. Toro
A fully well-balanced scheme for the 1D blood flow equations with friction source term. J. Comput. Phys. 421 (2020)
Christophe Berthon, Arnaud Duran, Françoise Foucher, Khaled Saleh, Jean de Dieu Zabsonré
Improvement of the Hydrostatic Reconstruction Scheme to Get Fully Discrete Entropy Inequalities. J. Sci. Comput. 80 (2) (2019)
Christophe Berthon, Victor Michel-Dansac
A simple fully well-balanced and entropy preserving scheme for the shallow-water equations. Appl. Math. Lett. 86 (2018)
Victor Michel-Dansac, Christophe Berthon, Stéphane Clain, Françoise Foucher
A well-balanced scheme for the shallow-water equations with topography or Manning friction. J. Comput. Phys. 335 (2017)
Christophe Berthon, Christophe Chalons
A fully well-balanced, positive and entropy-satisfying Godunov-type method for the shallow-water equations. Math. Comput. 85 (299) (2016)
Vivien Desveaux, Markus Zenk, Christophe Berthon, Christian Klingenberg
Well-balanced schemes to capture non-explicit steady states: Ripa model. Math. Comput. 85 (300) (2016)
Victor Michel-Dansac, Christophe Berthon, Stéphane Clain, Françoise Foucher
A well-balanced scheme for the shallow-water equations with topography. Comput. Math. Appl. 72 (3) (2016)
Christophe Berthon, Anaïs Crestetto, Françoise Foucher
A Well-Balanced Finite Volume Scheme for a Mixed Hyperbolic/Parabolic System to Model Chemotaxis. J. Sci. Comput. 67 (2) (2016)
Arnaud Duran, Fabien Marche, Rodolphe Turpault, Christophe Berthon
Asymptotic preserving scheme for the shallow water equations with source terms on unstructured meshes. J. Comput. Phys. 287 (2015)
Christophe Berthon, Céline Sarazin, Rodolphe Turpault
Space-time Generalized Riemann Problem Solvers of Order k for Linear Advection with Unrestricted Time Step. J. Sci. Comput. 55 (2) (2013)
Christophe Berthon, Philippe G. LeFloch, Rodolphe Turpault
Late-time/stiff-relaxation asymptotic-preserving approximations of hyperbolic equations. Math. Comput. 82 (282) (2013)
Christophe Berthon, Bruno Dubroca, Afeintou Sangam
A Local Entropy Minimum Principle for Deriving Entropy Preserving Schemes. SIAM J. Numer. Anal. 50 (2) (2012)
Christophe Berthon, Françoise Foucher
Efficient well-balanced hydrostatic upwind schemes for shallow-water equations. J. Comput. Phys. 231 (15) (2012)
Rémi Abgrall, Denise Aregba, Christophe Berthon, Manuel J. Castro, Carlos Parés
Preface. J. Sci. Comput. 48 (1-3) (2011)
Christophe Berthon, Fabien Marche
A Positive Preserving High Order VFRoe Scheme for Shallow Water Equations: A Class of Relaxation Schemes. SIAM J. Sci. Comput. 30 (5) (2008)
Christophe Berthon, Frédéric Coquel
Nonlinear projection methods for multi-entropies Navier-Stokes systems. Math. Comput. 76 (259) (2007)
Christophe Berthon, Pierre Charrier, Bruno Dubroca
Model of Radiative Transfer in Two Space Dimensions. J. Sci. Comput. 31 (3) (2007)
Christophe Berthon
Robustness of MUSCL schemes for 2D unstructured meshes. J. Comput. Phys. 218 (2) (2006)
Christophe Berthon
Numerical approximations of the 10-moment Gaussian closure. Math. Comput. 75 (256) (2006)
Christophe Berthon
-stable. Numerische Mathematik 104 (1) (2006)
Michael Baudin, Christophe Berthon, Frédéric Coquel, Roland Masson, Quang-Huy Tran
A relaxation method for two-phase flow models with hydrodynamic closure law. Numerische Mathematik 99 (3) (2005)