Vshivkov, V. A.; Snytnikov, V. N. On the particle method for the Vlasov kinetic equation. (English. Russian original) Zbl 1086.76586 Comput. Math. Math. Phys. 38, No. 11, 1801-1807 (1998); translation from Zh. Vychisl. Mat. Mat. Fiz. 38, No. 11, 1877-1883 (1998). 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. Reviewer: Alexey Tret’yakov (Siedlce) MSC: 76M28 Particle methods and lattice-gas methods 76X05 Ionized gas flow in electromagnetic fields; plasmic flow Keywords:self-heating; self-force PDF BibTeX XML Cite \textit{V. A. Vshivkov} and \textit{V. N. Snytnikov}, Comput. Math. Math. Phys. 38, No. 11, 1801--1807 (1998; Zbl 1086.76586); translation from Zh. Vychisl. Mat. Mat. Fiz. 38, No. 11, 1877--1883 (1998) OpenURL