A new approach for the accurate 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 efficent solution of the collision operator. The use of a suitable explicit Runge-Kutta solver for the time intergreation of the collision phase avoids excessive small time steps included 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.
"MOVIE COMMUNICATION: Numerical Solution of the Fokker-Planck-Landau Equation by Spectral Methods." Commun. Math. Sci. 1 (1) 206 - 207, March 2003.