Sayko I. Mathematical modelling of the behaviour of a system of reflectors under harmonic influence based on singular integral equations

The purpose of the thesis is to increase the efficiency and precision of the determination of characteristics of physical and local systems of reflectors under the influence of harmonic anti-flat and flat stresses if these processes are modelled by singular integral equations. It is achieved by two types of investigation: direct numerical solution of new diffraction problems where harmonic influence occurs towards local systems of reflectors with an arbitrary cross-section and an arbitrary number (for which new dependencies are obtained, in the interpretation of the elasticity theory), and by the investigation of the conditions and the stability of the used mathematical models and the properties of local and cluster calculation systems. Conclusions are made about the application of models in practice. The key advantage of the obtained results is the use of increased comparative information about the subject of the investigation, modern highly productive computers (clusters), specialized software and modern methods of computational mathematics.