The improvement of firmness of stiff system design methods

Abstract

The paper analyzes and researches the stability of obvious and non-obvious stiff system design methods, and shows that the stability of majority methods substantially depends on stiff factor and the parameters of the system, which is being solved. There had been suggested the approach for increasing firmness of stiff system design methods that uses the method of selective algorithm depending on stiff factor, and the procedure of multi-stage extrapolation on the basis of information, got during the diminishing of the integration step in intermediate points. Researching results of the suggested method showed its high reloiability.