Convergence of a particle method for the relativistic Vlasov-Maxwell system. (English) Zbl 0725.65124

Glassey, Robert; Schaeffer, Jack

SIAM J. Numer. Anal. 28, No. 1, 1-25 (1991).

The authors consider the Cauchy problem for the relativistic one- dimensional Vlasov-Maxwell system. A particle method is used for discretization. The convergence of the method is proved.

Reviewer: I.Grosu (Iaşi)

MSC:

65Z05	Applications to the sciences
65M12	Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
82D10	Statistical mechanics of plasmas
35Q72	Other PDE from mechanics (MSC2000)

Keywords:

Cauchy problem; relativistic one-dimensional Vlasov-Maxwell system; particle method; convergence