Nechay O. Counted study of mathematical models of stiff dynamic processes of electrical engineers and electronic devices

The thesis consists of mathematical modeling of dynamic processes of devices of electrical engineering and electronics. The circle of tasks is designated, mathematical models of which are described by rigid systems of the differential nonlinear equations, problem for the decision by existing numerical methods. The improvements of an obvious fraction-rational numerical method due to the developed new parameters of a method are offered. The mathematical models valves of braking of the asynchronous engine, free-running oscillators of harmonic fluctuations on the unipolar and bipolar transistor with quartz stabilization of frequency are constructed. The account of new and known difficult models of this class of problems has proved advantages of the advanced numerical method to research of dynamic processes.