%0 Journal Article %T WENO schemes applied to the quasi-relativistic Vlasov--Maxwell model for laser-plasma interaction %A Francesco Vecil %A Pep Mulet %A Simon Labrunie %J Physics %D 2014 %I arXiv %R 10.1016/j.crme.2014.06.009 %X In this paper we focus on WENO-based methods for the simulation of the 1D Quasi-Relativistic Vlasov--Maxwell (QRVM) model used to describe how a laser wave interacts with and heats a plasma by penetrating into it. We propose several non-oscillatory methods based on either Runge--Kutta (explicit) or Time-Splitting (implicit) time discretizations. We then show preliminary numerical experiments. %U http://arxiv.org/abs/1406.4381v1