Numerical Scheme for the One-Dimensional Vlasov-Poisson Equation Using Bi-Orthogonal Spline Wavelets
Vincent Torri · HAL (Le Centre pour la Communication Scientifique Directe) · 2005
In this paper, a numerical scheme for solving the Vlasov-Poisson equations is proposed. It is based on bi-orthogonal compactly supported spline wavelets. The interest of these wavelets used in this method is their precision in computations. For solving the Vlasov equation, a Strang splitting in time and a semi-lagrangian method are used. For the Poisson equation, a solver based only on wavelets is presented.