We propose a novel semi-Lagrangian method for the Vlasov equation, which combines Strang splitting in time with WENO reconstruction in space. A key insight is that the spatial interpolation matrices, used in the reconstruction process, can be factored into flux matrices. This factorization makes it possible to develop a conservative reconstruction method based on WENO. The semi-Lagrangian framework has the advantage of removing the stiff CFL time step restriction of explicit vlasov solvers. The quality of the method is demonstrated by several classical problems in plasma physics.
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