Numerical methods for the Vlasov equation

F. Filbet and E. Sonnendrücker
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F. Filbet: Université Louis Pasteur, IRMA
E. Sonnendrücker: Université Louis Pasteur, IRMA

A chapter in Numerical Mathematics and Advanced Applications, 2003, pp 459-468 from Springer

Abstract: Summary In this paper, we give a fairly exhaustive review of the literature on numerical simulations of the Vlasov equation.We first recall the range of applications of the Vlasov equation and present the different approaches for the discretization.We briefly describe Lagrangian and Eulerian schemes and give a few numerical results comparing these methods.

Keywords: Velocity Space; Finite Volume Method; Particle Method; Vlasov Equation; Finite Volume Scheme (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-88-470-2089-4_43

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DOI: 10.1007/978-88-470-2089-4_43

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