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Reports (Research Report) Year : 2005

Numerical Scheme for the One-Dimensional Vlasov-Poisson Equation Using Bi-Orthogonal Spline Wavelets

Abstract

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.
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Dates and versions

inria-00070263 , version 1 (19-05-2006)

Identifiers

  • HAL Id : inria-00070263 , version 1

Cite

Vincent Torri. Numerical Scheme for the One-Dimensional Vlasov-Poisson Equation Using Bi-Orthogonal Spline Wavelets. [Research Report] RR-5757, INRIA. 2005, pp.29. ⟨inria-00070263⟩
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