Izvestiya of Saratov University.
ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)

совместные системы дифференциальных уравнений

On differential approximations of difference schemes

The concept of the first differential approximation was introduced in the 1950s for the analysis of difference schemes by A. I. Zhukov  and then was used to study the quality of difference schemes approximating equations in partial derivatives. In the present work, the first differential approximation is considered as a universal construction that allows to use computer algebra methods for  investigation difference schemes, bypassing the direct use of the methods of difference algebra.