A numerical method for solving the one-dimensional Vlasov-Poisson equation in phase space (Q1299648)

The authors present a differential-algebraic cubic interpolated propagation scheme for the numerical solution of the one-dimensional Vlasov-Poisson equation with periodic boundary conditions \[ {\partial f\over\partial t}+ v{\partial f\over\partial x}- E{\partial f\over\partial v}= 0,\quad {\partial E\over\partial x}= 1-\int^\infty_{-\infty} f dv. \] In this numerical scheme the trajectory equations are solved explicitly and the dynamics along the stream lines are solved with a numerical integration method for ordinary differential equations.