A new splitting is proposed for solving the Vlasov–Maxwell system. This splitting is based on
a decomposition of the Hamiltonian of the Vlasov–Maxwell system and allows for the …

Numerical solutions to the radiative transfer equation are typically computationally
expensive. The large expense arises because the solution has a high dimensionality with …

The purpose of the present paper is to compare two semi-Lagrangian methods in the context
of the four-dimensional Vlasov–Poisson equation. More specifically, our goal is to compare …

The efficient numerical solution of many kinetic models in plasma physics is impeded by the
stiffness of these systems. Exponential integrators are attractive in this context as they …

In this paper, we propose a semi-Lagrangian discontinuous Galerkin method coupled with
Runge-Kutta exponential integrators (SLDG-RKEI) for nonlinear Vlasov dynamics. The …

Running kinetic plasma physics simulations using grid-based solvers is very demanding
both in terms of memory as well as computational cost. This is primarily due to the up to six …

In this paper, our goal is to efficiently solve the Vlasov equation on GPUs. A semi-
Lagrangian discontinuous Galerkin scheme is used for the discretization. Such kinetic …

This paper develops energy-preserving discontinuous Galerkin (DG) methods for the Vlasov-
Ampère (VA) system coupled with the Dougherty-Fokker-Planck (DFP) collision operator …

The recently developed semi-Lagrangian discontinuous Galerkin approach is used to
discretize hyperbolic partial differential equations (usually first order equations). Since these …

We propose an efficient semi-Lagrangian characteristic mapping method for solving the
one+ one-dimensional Vlasov-Poisson equations with high precision on a coarse grid. The …