3 papers
math.AP2025
Mathematical and numerical study of a model for navigation in stratified waters
Zeina Rammal, Matthieu Brachet, Germain Rousseaux +1
We derive a linear model of navigation in a two-layer fluid with a variable velocity of the ship. A spectral version of the model including a Rayleigh damping term is analyzed. We…
math.NA2019
Fast and Stable Schemes for Phase Fields Models
Matthieu Brachet, Jean-Paul Chehab
We propose and analyse new stabilized time marching schemes for Phase Fields model such as Allen-Cahn and Cahn-Hillard equations, when discretized in space with high order finite d…
math.NA2015
Stabilized Times Schemes for High Accurate Finite Differences Solutions of Nonlinear Parabolic Equations
Brachet Matthieu, Chehab Jean-Paul
The Residual Smooting Scheme (RSS) have been introduced in \cite{AverbuchCohenIsraeli} as a backward Euler's method with a simplified implicit part for the solution of parabolic pr…