Christophe Berthon

30 papers Journal 30

Year	Rank	Type	Title / Venue / Authors
2025	J	`jnl`	A fully well-balanced hydrodynamic reconstruction. CoRR Christophe Berthon, Victor Michel-Dansac
2025	J	`jnl`	Towards a fully well-balanced and entropy-stable scheme for the Euler equations with gravity: preserving isentropic steady solutions. Math. Comput. Christophe Berthon, Victor Michel-Dansac, Andrea Thomann
2024	J	`jnl`	A fully well-balanced hydrodynamic reconstruction. J. Num. Math. Christophe Berthon, Victor Michel-Dansac
2024	J	`jnl`	An entropy-stable and fully well-balanced scheme for the Euler equations with gravity. CoRR Christophe Berthon, Victor Michel-Dansac, Andrea Thomann
2023	J	`jnl`	Artificial Viscosity to Get Both Robustness and Discrete Entropy Inequalities. J. Sci. Comput. Christophe Berthon, Manuel Jesús Castro Díaz, Arnaud Duran, Tomás Morales de Luna, Khaled Saleh
2022	J	`jnl`	A Very Easy High-Order Well-Balanced Reconstruction for Hyperbolic Systems with Source Terms. SIAM J. Sci. Comput. Christophe Berthon, Solène Bulteau, Françoise Foucher, Meissa M'Baye, Victor Michel-Dansac
2021	J	`jnl`	A stable fixed point method for the numerical simulation of a kinetic collisional sheath. J. Comput. Phys. Mehdi Badsi, Christophe Berthon, Anaïs Crestetto
2021	J	`jnl`	Design of coupled finite volume schemes minimizing the grid orientation effect in reservoir simulation. J. Comput. Phys. Karine Laurent, Eric Flauraud, Christophe Preux, Quang-Huy Tran, Christophe Berthon
2020	J	`jnl`	A fully well-balanced scheme for the 1D blood flow equations with friction source term. J. Comput. Phys. Beatrice Ghitti, Christophe Berthon, Minh Hoang Le, Eleuterio F. Toro
2020	J	`jnl`	A two-dimensional high-order well-balanced scheme for the shallow water equations with topography and Manning friction. CoRR Victor Michel-Dansac, Christophe Berthon, Stéphane Clain, Françoise Foucher
2019	J	`jnl`	Improvement of the Hydrostatic Reconstruction Scheme to Get Fully Discrete Entropy Inequalities. J. Sci. Comput. Christophe Berthon, Arnaud Duran, Françoise Foucher, Khaled Saleh, Jean de Dieu Zabsonré
2018	J	`jnl`	A simple fully well-balanced and entropy preserving scheme for the shallow-water equations. Appl. Math. Lett. Christophe Berthon, Victor Michel-Dansac
2017	J	`jnl`	A well-balanced scheme for the shallow-water equations with topography or Manning friction. J. Comput. Phys. Victor Michel-Dansac, Christophe Berthon, Stéphane Clain, Françoise Foucher
2016	J	`jnl`	A Well-Balanced Finite Volume Scheme for a Mixed Hyperbolic/Parabolic System to Model Chemotaxis. J. Sci. Comput. Christophe Berthon, Anaïs Crestetto, Françoise Foucher
2016	J	`jnl`	A fully well-balanced, positive and entropy-satisfying Godunov-type method for the shallow-water equations. Math. Comput. Christophe Berthon, Christophe Chalons
2016	J	`jnl`	A well-balanced scheme for the shallow-water equations with topography. Comput. Math. Appl. Victor Michel-Dansac, Christophe Berthon, Stéphane Clain, Françoise Foucher
2016	J	`jnl`	Well-balanced schemes to capture non-explicit steady states: Ripa model. Math. Comput. Vivien Desveaux, Markus Zenk, Christophe Berthon, Christian Klingenberg
2015	J	`jnl`	Asymptotic preserving scheme for the shallow water equations with source terms on unstructured meshes. J. Comput. Phys. Arnaud Duran, Fabien Marche, Rodolphe Turpault, Christophe Berthon
2013	J	`jnl`	Late-time/stiff-relaxation asymptotic-preserving approximations of hyperbolic equations. Math. Comput. Christophe Berthon, Philippe G. LeFloch, Rodolphe Turpault
2013	J	`jnl`	Space-time Generalized Riemann Problem Solvers of Order k for Linear Advection with Unrestricted Time Step. J. Sci. Comput. Christophe Berthon, Céline Sarazin, Rodolphe Turpault
2012	J	`jnl`	A Local Entropy Minimum Principle for Deriving Entropy Preserving Schemes. SIAM J. Numer. Anal. Christophe Berthon, Bruno Dubroca, Afeintou Sangam
2012	J	`jnl`	Efficient well-balanced hydrostatic upwind schemes for shallow-water equations. J. Comput. Phys. Christophe Berthon, Françoise Foucher
2011	J	`jnl`	Preface. J. Sci. Comput. Rémi Abgrall, Denise Aregba, Christophe Berthon, Manuel J. Castro, Carlos Parés
2008	J	`jnl`	A Positive Preserving High Order VFRoe Scheme for Shallow Water Equations: A Class of Relaxation Schemes. SIAM J. Sci. Comput. Christophe Berthon, Fabien Marche
2007	J	`jnl`	An HLLC Scheme to Solve The J. Sci. Comput. Christophe Berthon, Pierre Charrier, Bruno Dubroca
2007	J	`jnl`	Nonlinear projection methods for multi-entropies Navier-Stokes systems. Math. Comput. Christophe Berthon, Frédéric Coquel
2006	J	`jnl`	Numerical approximations of the 10-moment Gaussian closure. Math. Comput. Christophe Berthon
2006	J	`jnl`	Robustness of MUSCL schemes for 2D unstructured meshes. J. Comput. Phys. Christophe Berthon
2006	J	`jnl`	Why the MUSCL-Hancock Scheme is L Numerische Mathematik Christophe Berthon
2005	J	`jnl`	A relaxation method for two-phase flow models with hydrodynamic closure law. Numerische Mathematik Michael Baudin, Christophe Berthon, Frédéric Coquel, Roland Masson, Quang-Huy Tran