Stochastic multi-symplectic wavelet collocation method for stochastic Hamiltonian Maxwell's equations

Abstract

In this paper, we investigate the model of three-dimensional (3D) stochastic multi-symplectic Hamiltonian Maxwell's equations, and consider the stochastic multi-symplectic numerical methods of solving such equations. In particular, multi-symplectic wavelet collocation method (MSWCM) is applied to such equations. It is shown that this multi-symplectic numerical method preserves not only the multi-symplectic structure, but also discrete energy conservation law under perfectly electric conducting boundary conditions.