A semi-discrete Galerkin method for numerical solution of the one-dimensional Vlasov-Poisson equation and comparison with the particle method

Date

1993-05

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Abstract

In this paper, we consider the numerical solutions of one-dimensional VlasovPossion equation by a semi-discrete Galerkin method and compare it with the particle method. First of all, we provide two theroems to show two equivalent systems which simplify our numerical experimentations. Then we derive two numerical schemes with numerical results for Landau damping and two-stream instability problems.

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Keywords

Poisson’s equation -- Numerical solutions, Numerical analysis, Galerkin methods, Elliptic operators

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