Fast Algorithms for Numerical, Conservative and Entropy Approximations of the Fokker-planck-landau Equation
نویسندگان
چکیده
abstract We present fast numerical algorithms to solve the non linear Fokker-Planck-Landau equation in 3-D velocity space. The discretization of the collision operator preserves the properties required by the physical nature of the Fokker-Planck-Landau equation, such as the conservation of mass, momentum and energy, the decay of the entropy, and the fact that the steady states are Maxwellians. At the end of this paper, we give numerical results illustrating the eeciency of these fast algorithms, in terms of accuracy and CPU time.
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