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Numerical Mathematics and Advanced Applications pp 447–457Cite as

A brief review of numerical methods for collision operators

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In this review, we present numerical methods for approx imating collision operators in kinetic theory. We refer to [29] for a similar paper concerning the Vlasov equation. Various collision operators are described (Boltzmann, Fokker-Planck) and the three main numerical methods (Spectral, Discrete Velocity and Monte Carlo) are briefly shown.

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Author information

Authors and Affiliations

  1. Laboratoire MAPMO, Université d’Orléans, Orléans, France

    S. Cordier

  2. Laboratoire J.-L. Lions, Université Pierre et Marie Curie, Paris, France

    S. Mancini

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  1. S. Cordier
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  2. S. Mancini
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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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Cordier, S., Mancini, S. (2003). A brief review of numerical methods for collision operators. 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_42

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  • DOI: https://doi.org/10.1007/978-88-470-2089-4_42

  • Publisher Name: Springer, Milano

  • Print ISBN: 978-88-470-2167-9

  • Online ISBN: 978-88-470-2089-4

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