Abstract
In this paper we present a new spectral method for the fast evaluation of the Fokker-Planck-Landau (FPL) collision operator. The method allows us to obtain spectrally accurate numerical solutions with simply O(n log2n) operations in contrast with the usual O(n2) cost of a deterministic scheme. We show that the method preserves the total mass whereas momentum and energy are approximated with spectral accuracy. Numerical results for the FPL equation for Maxwell molecules and for Coulomb interactions in two and three dimensions in velocity space are also given.
| Original language | English |
|---|---|
| Pages (from-to) | 216-236 |
| Number of pages | 21 |
| Journal | Journal of Computational Physics |
| Volume | 165 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 20 Nov 2000 |
Keywords
- Fast Fourier transform
- Fokker-Planck-Landau equation
- Spectral methods
ASJC Scopus subject areas
- Numerical Analysis
- Modelling and Simulation
- Physics and Astronomy (miscellaneous)
- General Physics and Astronomy
- Computer Science Applications
- Computational Mathematics
- Applied Mathematics
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