Numerical Solution of the Fokker-Planck-Landau Equation by Spectral Methods

Francis Filbet; Lorenzo Pareschi

doi:10.4310/CMS.2003.v1.n1.a13

Numerical Solution of the Fokker-Planck-Landau Equation by Spectral Methods

Francis Filbet^*
, Lorenzo Pareschi

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

A new approach for the accurate numerical solution of the Fokker-Planck-Landau (FPL) equation has been presented recently in [1, 2]. The method is based on a fast spectral solver for the efficient solution of the collision operator. The use of a suitable explicit Runge-Kutta solver for the time integration of the collision phase avoids excessive small time steps induced by the stiffness of the diffusive collision operator.

Original language	English
Pages (from-to)	206-207
Number of pages	2
Journal	Communications in Mathematical Sciences
Volume	1
Issue number	1
DOIs	https://doi.org/10.4310/CMS.2003.v1.n1.a13
Publication status	Published - 2003

Keywords

Landau-fokker-planck equation
Runge-kutta methods
Spectral methods

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.4310/CMS.2003.v1.n1.a13

Cite this

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title = "Numerical Solution of the Fokker-Planck-Landau Equation by Spectral Methods",

abstract = "A new approach for the accurate numerical solution of the Fokker-Planck-Landau (FPL) equation has been presented recently in [1, 2]. The method is based on a fast spectral solver for the efficient solution of the collision operator. The use of a suitable explicit Runge-Kutta solver for the time integration of the collision phase avoids excessive small time steps induced by the stiffness of the diffusive collision operator.",

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AU - Filbet, Francis

AU - Pareschi, Lorenzo

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N2 - A new approach for the accurate numerical solution of the Fokker-Planck-Landau (FPL) equation has been presented recently in [1, 2]. The method is based on a fast spectral solver for the efficient solution of the collision operator. The use of a suitable explicit Runge-Kutta solver for the time integration of the collision phase avoids excessive small time steps induced by the stiffness of the diffusive collision operator.

AB - A new approach for the accurate numerical solution of the Fokker-Planck-Landau (FPL) equation has been presented recently in [1, 2]. The method is based on a fast spectral solver for the efficient solution of the collision operator. The use of a suitable explicit Runge-Kutta solver for the time integration of the collision phase avoids excessive small time steps induced by the stiffness of the diffusive collision operator.

KW - Landau-fokker-planck equation

KW - Runge-kutta methods

KW - Spectral methods

UR - https://www.scopus.com/pages/publications/85012259296

U2 - 10.4310/CMS.2003.v1.n1.a13

DO - 10.4310/CMS.2003.v1.n1.a13

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AN - SCOPUS:85012259296

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JO - Communications in Mathematical Sciences

JF - Communications in Mathematical Sciences

IS - 1

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Numerical Solution of the Fokker-Planck-Landau Equation by Spectral Methods

Abstract

Keywords

ASJC Scopus subject areas

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