"Stability of explicit schemes for solving Maxwell's equations by
highorder finite volume methods" Firsov D.K. 
A new stability criterion of explicit schemes for solving Maxwell's equations by highorder finite volume methods is proposed. The proof is based on a generalization of the stability criterion for the firstorder finite volume scheme to the case of highorder schemes. The effect of discontinuities of the solution on the stability of highorder schemes is evaluated. The maximum principle for the finite volume approximations of vector conservation laws is discussed. Keywords: Maxwell's equations, finite volume method, stability of explicit schemes, highorder accuracy, partial differential equations.

