This paper reviews Vlasov-based numerical methods used to model plasma in space
physics and astrophysics. Plasma consists of collectively behaving charged particles that …

The interaction of intense lasers with solid matter generates a hot plasma state that is well
described by the Vlasov–Fokker–Planck equation. Accurate and efficient modeling of the …

A new scheme for solving the Vlasov equation using an unstructured mesh for the phase
space is proposed. The algorithm is based on the semi-Lagrangian method which exploits …

In order to model the non-equilibrium plasma within the discharge region of a Hall thruster,
the velocity distribution functions (VDFs) must be obtained accurately. A direct kinetic (DK) …

In this article, we derive a semi-Lagrangian scheme for the solution of the Vlasov equation
represented as a low-parametric tensor. Grid-based methods for the Vlasov equation have …

Méthodes d'Accélération de Convergence en Analyse Numérique et en Statistique - Archive
ouverte HAL Accéder directement au contenu Documentation FR Français (FR) Anglais (EN) …

Abstract Resolving numerically Vlasov–Poisson equations for initially cold systems can be
reduced to following the evolution of a three-dimensional sheet evolving in six-dimensional …

Methods for the numerical discretization of the Vlasov equation should efficiently use the
phase-space discretization and should introduce only enough numerical dissipation to …

Sparse-grid methods have recently gained interest in reducing the computational cost of
solving high-dimensional kinetic equations. In this paper, we construct adaptive and hybrid …

In this paper, we present a novel kinetic scheme termed the Energy Conserving Semi-
Lagrangian (ECSL) for the Vlasov-Ampère system. The novelty of the ECSL is that it retains …