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ORCIDChristophe Berthon
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2020 – today
- 2024
[j26]Christophe Berthon, Victor Michel-Dansac:
A fully well-balanced hydrodynamic reconstruction. J. Num. Math. 32(3): 275- (2024)- [i2]Christophe Berthon, Victor Michel-Dansac, Andrea Thomann:
An entropy-stable and fully well-balanced scheme for the Euler equations with gravity. CoRR abs/2406.15051 (2024) - 2023
- [j25]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) - 2022
- [j24]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): 2506- (2022) - 2021
- [j23]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: 109923 (2021) - [j22]Mehdi Badsi, Christophe Berthon, Anaïs Crestetto:
A stable fixed point method for the numerical simulation of a kinetic collisional sheath. J. Comput. Phys. 429: 109990 (2021) - 2020
- [j21]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: 109750 (2020) - [i1]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 abs/2004.04484 (2020)
2010 – 2019
- 2019
- [j20]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): 924-956 (2019) - 2018
- [j19]Christophe Berthon, Victor Michel-Dansac:
A simple fully well-balanced and entropy preserving scheme for the shallow-water equations. Appl. Math. Lett. 86: 284-290 (2018) - 2017
- [j18]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: 115-154 (2017) - 2016
- [j17]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): 568-593 (2016) - [j16]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): 618-643 (2016) - [j15]Christophe Berthon, Christophe Chalons:
A fully well-balanced, positive and entropy-satisfying Godunov-type method for the shallow-water equations. Math. Comput. 85(299): 1281-1307 (2016) - [j14]Vivien Desveaux, Markus Zenk, Christophe Berthon, Christian Klingenberg:
Well-balanced schemes to capture non-explicit steady states: Ripa model. Math. Comput. 85(300): 1571-1602 (2016) - 2015
- [j13]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: 184-206 (2015) - 2013
- [j12]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): 268-308 (2013) - [j11]Christophe Berthon, Philippe G. LeFloch, Rodolphe Turpault:
Late-time/stiff-relaxation asymptotic-preserving approximations of hyperbolic equations. Math. Comput. 82(282): 831-860 (2013) - 2012
- [j10]Christophe Berthon, Françoise Foucher:
Efficient well-balanced hydrostatic upwind schemes for shallow-water equations. J. Comput. Phys. 231(15): 4993-5015 (2012) - [j9]Christophe Berthon, Bruno Dubroca, Afeintou Sangam:
A Local Entropy Minimum Principle for Deriving Entropy Preserving Schemes. SIAM J. Numer. Anal. 50(2): 468-491 (2012) - 2011
- [j8]Rémi Abgrall, Denise Aregba, Christophe Berthon, Manuel J. Castro, Carlos Parés:
Preface. J. Sci. Comput. 48(1-3): 1-2 (2011)
2000 – 2009
- 2008
- [j7]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): 2587-2612 (2008) - 2007
- [j6]Christophe Berthon, Pierre Charrier, Bruno Dubroca:
An HLLC Scheme to Solve The M 1 Model of Radiative Transfer in Two Space Dimensions. J. Sci. Comput. 31(3): 347-389 (2007) - [j5]Christophe Berthon, Frédéric Coquel:
Nonlinear projection methods for multi-entropies Navier-Stokes systems. Math. Comput. 76(259): 1163-1194 (2007) - 2006
- [j4]Christophe Berthon:
Robustness of MUSCL schemes for 2D unstructured meshes. J. Comput. Phys. 218(2): 495-509 (2006) - [j3]Christophe Berthon:
Numerical approximations of the 10-moment Gaussian closure. Math. Comput. 75(256): 1809-1831 (2006) - [j2]Christophe Berthon:
Why the MUSCL-Hancock Scheme is L1-stable. Numerische Mathematik 104(1): 27-46 (2006) - 2005
- [j1]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): 411-440 (2005)
Coauthor Index
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