Numerical Algorithms for Axisymmetric Fokker-planck-landau Operators
چکیده
We establish a simpliied form of the axisymmetric Fokker-Planck-Landau operator. In doing so, we derive a weak formulation of this operator on which we get directly the conservation properties and the decay of the entropy as it is the case for the three dimensional operator 6]. A symmetrized version of this formulation leads to a class of numerical schemes which satisfy these physical properties at the discrete level. Fast numerical algorithms used in 5] 15] are shown to be eecient in the cylindrical geometry. Finally, some numerical tests are presented at the end of this paper.