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Journal Articles SIAM Journal on Numerical Analysis Year : 2011

Enhanced convergence estimates for semi-lagrangian schemes Application to the Vlasov-Poisson equation

Abstract

We prove enhanced error estimates for high order semi-lagrangian discretizations of the Vlasov-Poisson equation. It provides new insights into optimal numerical strategies for the numerical solution of this problem. The new error estimate is based on advanced error estimates for semi-lagrangian schemes, also equal to shifted Strang's schemes, for the discretization of the advection equation.
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Dates and versions

inria-00629081 , version 1 (05-10-2011)

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Frédérique Charles, Bruno Després, Michel Mehrenberger. Enhanced convergence estimates for semi-lagrangian schemes Application to the Vlasov-Poisson equation. SIAM Journal on Numerical Analysis, 2011, ⟨10.1137/110851511⟩. ⟨inria-00629081⟩
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