Analytical and Numerical Solutions of One-Dimensional Cold Plasma Equationsстатья
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Дата последнего поиска статьи во внешних источниках: 27 октября 2021 г.
Аннотация:High-accuracy numerical algorithms are proposed and justified for the simulation of coldplasma oscillations in both nonrelativistic and relativistic cases. A specific feature of the givenapproach is that Lagrangian variables are used for the approximate solution of the problem formulatedin Eulerian variables. The main results are stated as convergence theorems for the proposed algorithmswith respect to small discretization parameters of independent Eulerian variables. The theoreticalresults are illustrated by numerical experiments. Specifically, the breaking of plasma oscillations ismodeled and this effect is confirmed to have the form of a gradient catastrophe.