Volumetric singular integral equations of electrodynamics. Samokhin A.B.

The book using the singular integral equations discusses various classes of electrodynamics tasks. The monograph consists of two parts. The first part displays volumetric singular integral equations that describe the tasks of dispersing electromagnetic waves into three -dimensional heterogeneous and anisotropic structures, as well as singular equations with delay but time describing the tasks of the non -stationary field interaction with a limited material environment. Using the obtained equations, theorems of the existence and uniqueness of the solution of various classes of waves scattering are proved. The second part sets out iteration methods for solving equations, mathematically strictly substantiated the use of the Galerkin method and the collocation method for the numerical solution of equations that describe the tasks of scattering waves into three -dimensional heterogeneous and anisotropic structures. Effective algorithms for a numerical solution of singular equations are offered.