Abstract: We give a semi-Lagrangian scheme for Vlasov-Poisson equation using third order upwind interpolation polynomial with limiter. The scheme is conservative and keeps solution positive. We use the scheme to compute typical examples that include Landau damping, two stream instability and symmetric two stream instability. These simulations are compared with other numerical results. In conclusion, the conservative scheme works well in solving Vlasov-Poisson equation.

Key words: Vlasov-Poisson equation, semi-Lagrangian, interpolation, conservative scheme