Exact solutions of wave problems from the point of view of applications of these
solutions to the numeric calculation of wave phenomena of different nature were
Asymptotic methods of solution of wave problems, i.e. the spaceЩtime ray method,
the method of Gaussian bundles, were developed, which can be used for representation
of a wave field both in the area of regularity of the ray and in the caustics.
On the basis of the developed exact and asymptotic methods of solution of wave
problems computer programs for numeric solution of these problems were constructed and
engineering methods of solution of wave problems in media of complex structure were developed.