12 citations · 13 across the 2 of their papers we have counts for
3 papers
math.NA2025★ 12 cited
TVD-MOOD schemes based on implicit-explicit time integration
Victor Michel-Dansac, Andrea Thomann
The context of this work is the development of first order total variation diminishing (TVD) implicit-explicit (IMEX) Runge-Kutta (RK) schemes as a basis of a Multidimensional Opti…
math.NA2025★ 1 cited
A fully well-balanced hydrodynamic reconstruction
Christophe Berthon, Victor Michel-Dansac
The present work focuses on the numerical approximation of the weak solutions of the shallow water model over a non-flat topography. In particular, we pay close attention to steady…
math.NA2024
Towards a fully well-balanced and entropy-stable scheme for the Euler equations with gravity: General equations of state
Victor Michel-Dansac, Andrea Thomann
The present work concerns the derivation of a fully well-balanced Godunov-type finite volume scheme for the Euler equations with a gravitational potential based on an approximate R…