Numerical methods of higher accuracy for solving problems of electrodynamics.

Difference schemes of high accuracy for solving three-dimensional non-stationary Maxwell equations are proposed. From the original problem, we pass to the problem for one sought-for vector function. The problem is considered in a parallelepiped with the simplest boundary conditions. The construction of difference schemes is conducted on the basis of the finite difference method and finite element method. The stability and convergence of the considered difference schemes in the class of smooth solutions of the original differential problem are proved. [ABSTRACT FROM AUTHOR]