An all Mach number relaxation upwind scheme

Berthon, Christophe; Klingenberg, Christian; Zenk, Markus

The SMAI Journal of computational mathematics, Volume 6 (2020) p. 1-31

Numerical convergence rate for a diffusive limit of hyperbolic systems: $p$-system with damping

Berthon, Christophe; Bessemoulin-Chatard, Marianne; Mathis, Hélène

The SMAI Journal of computational mathematics, Volume 2 (2016) p. 99-119

Second-order MUSCL schemes based on Dual Mesh Gradient Reconstruction (DMGR)

Berthon, Christophe; Coudière, Yves; Desveaux, Vivien

ESAIM: Mathematical Modelling and Numerical Analysis , Volume 48 (2014) p. 583-602