Podlasov Y. Numerical modeling of acoustic fields in heterogeneous media

The dissertation thesis is devoted to elaboration and improvement of mathemati-cal models, numerical methods and computational algorithms for investigation of proc-esses of waves propagation in infinite heterogeneous waveguides. Established are quali-ties of waveguide Sturm ? Liouville problem eigenvalues, proposed are numerical methods of spectrum computation. Developed is the method of solving of ray aiming problem and then acoustic field calculation in a 3-D waveguide of variable depth using ray approximation. Investigated is correctness of the difference scheme for the parabolic wave equation with impedance boundary condition on bottom. Considered are questions of software realization of computational algorithms for acoustic fields calculation.