36 citations · 36 across the 2 of their papers we have counts for
3 papers
math.AP2026
Three-scale singular limits with applications to rapidly rotating fluids and the hyperbolization of dispersive systems
Vincent Duchêne, Arnaud Duran, Khawla Msheik
We consider singular problems for a general class of quasilinear hyperbolic systems that involve two a priori independent stiff parameters. We argue that such situations may lead t…
math.NA2016★ 36 cited
An explicit asymptotic preserving low Froude scheme for the multilayer shallow water model with density stratification
Frédéric Couderc, Arnaud Duran, Jean-Paul Vila
We present an explicit scheme for a two-dimensional multilayer shallow water model with density stratification, for general meshes and collocated variables. The proposed strategy i…
math.NA2016
A discontinuous Galerkin method for a new class of Green-Naghdi equations on simplicial unstructured meshes
Arnaud Duran, Fabien Marche
In this paper, we introduce a discontinuous Finite Element formulation on simplicial unstructured meshes for the study of free surface flows based on the fully nonlinear and weakly…