This article aims at developing a high order pressure-based solver for the solution of the 3D
compressible Navier-Stokes system at all Mach numbers. We propose a cell-centered …

In this article we present a high order cell-centered numerical scheme in space and time for
the solution of the compressible Navier-Stokes equations. To deal with multiscale …

In this paper we focus on the construction of numerical schemes for nonlinear Fokker–
Planck equations that preserve the structural properties, like non negativity of the solution …

In this paper, a high-order semi-implicit (SI) asymptotic preserving (AP) and divergence-free
finite difference weighted essentially nonoscillatory (WENO) scheme is proposed for …

This paper presents an asymptotic preserving (AP) all Mach number finite volume shock
capturing method for the numerical solution of compressible Euler equations of gas …

Hyperbolic systems with stiff relaxation constitute a wide class of evolutionary partial
differential equations which describe several physical phenomena, ranging from gas …

We introduce a new family of high order accurate semi-implicit schemes for the solution of
nonlinear time-dependent systems of partial differential equations (PDE) on unstructured …

In this paper, we propose a new high order semi-implicit scheme for the all-Mach full Euler
equations of gas dynamics. Material waves are treated explicitly, while acoustic waves are …

We propose a second-order accurate semi-implicit and well-balanced finite volume scheme
for the equations of ideal magnetohydrodynamics including gravitational source terms. The …

This paper deals with the numerical resolution of the Vlasov--Poisson system with a strong
external magnetic field by particle-in-cell (PIC) methods. In this regime, classical PIC …