Numerical Solution of the Non Homogeneous Fokker-Planck-Landau Equation

Filbet, F.; Pareschi, L.

doi:10.1007/978-3-662-04784-2_45

F. Filbet⁴ &
L. Pareschi⁵

Part of the book series: Mathematics in Industry ((TECMI,volume 1))

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Abstract

In this note we describe a novel approach to the numerical solution of the Fokker-Planck-Landau equation in the non-homogeneous case. The method couples, through a time splitting algorithm, a finite volume scheme for the transport with a fast spectral solver for the efficient solution of the collision operator.

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Authors and Affiliations

Department of Mathematics, University of Nancy, BP 239, 54506, Vandœuvre-lès-Nancy, France
F. Filbet
Department of Mathematics, University of Ferrara, via Machiavelli 35, I-44100, Ferrara, Italy
L. Pareschi

Authors

F. Filbet
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L. Pareschi
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Editors and Affiliations

Department of Mathematics and Computer Science, University of Catania, Viale A. Doria 6, 95125, Catania, Italy
Angelo Marcello Anile
MIRIAM and Department of Mathematics, University of Milano, Via C. Saldini 50, 20133, Milano, Italy
Vincenzo Capasso
Department of Mathematics and its Applications, University of Palermo, Via Archirafi 34, 90123, Palermo, Italy
Antonio Greco

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Filbet, F., Pareschi, L. (2002). Numerical Solution of the Non Homogeneous Fokker-Planck-Landau Equation. In: Anile, A.M., Capasso, V., Greco, A. (eds) Progress in Industrial Mathematics at ECMI 2000. Mathematics in Industry, vol 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04784-2_45

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DOI: https://doi.org/10.1007/978-3-662-04784-2_45
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-07647-3
Online ISBN: 978-3-662-04784-2
eBook Packages: Springer Book Archive

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