On the particle method for the Vlasov kinetic equation (Q1571296)

The author haves show that the apparent self-heating in the ensemble of large particles of a plasma can be caused by the error of approximation of the force acting on each particle. This error is known as the self-force. It does not decrease with mesh size in traditional algorithms of the particle method. A new class of grid kernels is proposed, which is free of this disadvantage. Numerical solution of unsteady three-dimensional plasma dynamics confirms a high efficiency of an algorithm based on the new kernel.