Gladka Y. Numerically-analytic modelling of wave processes

Dissertation thesis is devoted to elaboration of numerically-analytic methods for modeling of wave processes in inhomogeneous domains. New mathematical models of spreading of acoustic waves are formulated. The analytic solutions of base spatial problems are obtained. The connection of these solutions with singular solutions is established. The method of normal modes for impedance boundary is generalized. The numerical method of solution of spectral problem with complex non-self-conjugate operator is suggested. The stability of discrete models for wave equations of the Schrodinger type is investigated. Some questions of program realization of computing algorithms for calculation of acoustic fields are considered.