%0 Journal Article %T An adaptive numerical method for the Vlasov equation based on a multiresolution analysis %A Nicolas Besse %A Francis Filbet %A Michael Gutnic %A Ioana Paun %A Eric Sonnendr¨ącker %J Mathematics %D 2007 %I arXiv %X In this paper, we present very first results for the adaptive solution on a grid of the phase space of the Vlasov equation arising in particles accelarator and plasma physics. The numerical algorithm is based on a semi-Lagrangian method while adaptivity is obtained using multiresolution analysis. %U http://arxiv.org/abs/0704.1595v1