Michel Mehrenberger

Conservative semi-Lagrangian schemes for Vlasov equations

Conservative methods for the numerical solution of the Vlasov equation are developed in the context of the one-dimensional splitting. In the case of constant advection, these methods and the traditional semi-Lagrangian ones are proven to be equivalent, but the conservative methods offer the possibility to add adequate filters in order to ensure the positivity. In the non constant advection case, they present an alternative to the traditional semi-Lagrangian schemes which can suffer from bad mass conservation, in this time splitting setting.

Convergence of classes of high-order semi-Lagrangian schemes for the Vlasov-Poisson system

Abstract: In this paper we present some classes of high-order semi-Lagran- gian schemes for solving the periodic one-dimensional Vlasov-Poisson system in phase-space on uniform grids. We prove that the distribution function

A 5D gyrokinetic full-f global semi-lagrangian code for flux-driven ion turbulence simulations

f(t,x,v)

Convergence of an adaptive semi-Lagrangian scheme for the Vlasov-Poisson system

and the electric field

Adaptive numerical resolution of the Vlasov equation.

E(t,x)

Enhanced Convergence Estimates for Semi-Lagrangian Schemes Application to the Vlasov--Poisson Equation

converge in the

High-order Hamiltonian splitting for the Vlasov---Poisson equations

L^2

Observability of coupled systems

norm with a rate of

FEEDBACK STABILIZATION OF A COUPLED STRING-BEAM SYSTEM

\displaystyle \mathcal{O}\left(\Delta t^2 +h^{m+1}+ \frac{h^{m+1}}{\Delta t}\right),

Simulations of Kinetic Electrostatic Electron Nonlinear (KEEN) Waves with Variable Velocity Resolution Grids and High-Order Time-Splitting

where