Multipole expansions for the Fokker-Planck-Landau operator
β Scribed by M. Lemou
- Book ID
- 105879595
- Publisher
- Springer-Verlag
- Year
- 1998
- Tongue
- English
- Weight
- 228 KB
- Volume
- 78
- Category
- Article
- ISSN
- 0029-599X
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π SIMILAR VOLUMES
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 log 2 n) operations in contrast with the usual O(n 2 ) cost of a deterministic scheme. W
The homogeneous Fokker-Planck-Landau equation is investigated for Coulombic potential and isotropic distribution function, i.e., when the distribution function depends only on time and on the modulus of the velocity. We derive a conservative and entropy decaying semidiscretized Landau equation for w
The Landau equation is obtained, for a system of particles of arbitrary statistics, by expanding the semiclassical Boltzmann collision integral in the scattering angle. The equation is next cast into the Fokker-Planck form. Both the nonrelativistic and the relativistic cases are considered. In each