Numerical technique of non stationary electromagnetic theory

Initial boundary value problems (ibvp) and boundary value problems (bvp) for Maxwell´s system of differential equations are the subjects under investigation in electromagnetic theory. That is the starting mathematical model of physical processes, and it is necessary by means of mathematical techniques to extract and treat the physical results. The main subject of the present communication is the review of modern methods and algorithms for numerical analyses of transient processes in open compact, waveguide and periodic resonators. Computation of scattering characteristics of elementary discontinuities is of special importance. We have developed specialized algorithms, using formally correct numerical subroutines in key steps of solution construction, including analytical regularization of operator equations of the first kind