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. Here we present the details of a numerical simulation of the relaxation process in a three-dimensional Coulomb gas
Numerical solution of the Fokker-Planck-Landau equation by spectral methods
FILBET, Francis;PARESCHI, Lorenzo
2003
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. Here we present the details of a numerical simulation of the relaxation process in a three-dimensional Coulomb gasFile in questo prodotto:
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