FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1999, VOLUME 5, NUMBER 4, PAGES 979-991

Stability of two-layer operator-difference schemes with symmetric and skew-symmetric operators

N. V. Ardelyan

Abstract

View as HTML     View as gif image    View as LaTeX source

Two-layer operator-difference schemes with weight parameters which contain symmetric and skew-symmetric operators are considered. Sufficient conditions and a priori estimates for stability are derived using the method of reduction to a three-layer operator-difference scheme. It is shown that the conditions are necessary ones for some particular cases. The results may be used for investigation of the grid problems approximating initial-boundary value problems of mathematical physics with convection transfer (of convection-diffusion type), including the problems with varying coefficients on various grids.

All articles are published in Russian.

Location: http://mech.math.msu.su/~fpm/eng/99/994/99402h.htm
Last modified: December 9, 1999