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

Vincent Torri 1
1 CALVI - Scientific computation and visualization
IRMA - Institut de Recherche Mathématique Avancée, LSIIT - Laboratoire des Sciences de l'Image, de l'Informatique et de la Télédétection, Inria Nancy - Grand Est, IECL - Institut Élie Cartan de Lorraine
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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https://hal.inria.fr/inria-00070263
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Submitted on : Friday, May 19, 2006 - 7:46:45 PM
Last modification on : Friday, February 4, 2022 - 3:29:43 AM
Long-term archiving on: : Sunday, April 4, 2010 - 8:46:14 PM

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  • HAL Id : inria-00070263, version 1

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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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