SciCADE 2013
International Conference on Scientific Computation and Differential Equations
September 16-20, 2013, Valladolid (Spain)

Invited Talk

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Hamiltonian splitting methods for Vlasov equations and Landau damping

E. Faou

Abstract
We will consider Hamiltonian splitting methods applied to Vlasov-like equations in the context of semi-Lagrangian methods. We will show how the algebraic structure of the Vlasov-Poisson equation arising in Plasma Physics allows to derive efficient high order methods possessing strong geometrical properties. We will then analyze the long time behavior of these methods, that is the numerical reproduction of the Landau damping phenomenon over long times. These are joint works with Fernando Casas, Nicolas Crouseilles, Michel Mehrenberger and Frédéric Rousset.

Organized by         Universidad de Valladolid     IMUVA