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Numerical methods for the Vlasov equation

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Numerical Mathematics and Advanced Applications

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.

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Authors and Affiliations

  1. IRMA, Université Louis Pasteur, Strasbourg, France

    F. Filbet & E. Sonnendrücker

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  1. F. Filbet
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  2. E. Sonnendrücker
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Editor information

Editors and Affiliations

  1. e Tecnologie Informatiche IMATI-CNR, Università di Pavia and Istituto di Matematica Applicata, Pavia, Italy

    Franco Brezzi

  2. e Tecnologie Informatiche IMATI-CNR, Istituto di Matematica Applicata, Pavia, Italy

    Annalisa Buffa

  3. e Reti ad Alte Prestazioni ICAR-CNR, Istituto per il Calcolo, Napoli, Italy

    Stefania Corsaro

  4. e Reti ad Alte Prestazioni ICAR-CNR, Università di Napoli and Istituto per il Calcolo, Napoli, Italy

    Almerico Murli

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© 2003 Springer-Verlag Italia

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Filbet, F., Sonnendrücker, E. (2003). Numerical methods for the Vlasov equation. In: Brezzi, F., Buffa, A., Corsaro, S., Murli, A. (eds) Numerical Mathematics and Advanced Applications. Springer, Milano. https://doi.org/10.1007/978-88-470-2089-4_43

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  • DOI: https://doi.org/10.1007/978-88-470-2089-4_43

  • Publisher Name: Springer, Milano

  • Print ISBN: 978-88-470-2167-9

  • Online ISBN: 978-88-470-2089-4

  • eBook Packages: Springer Book Archive

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