FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

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

N. V. Ardelyan

Abstract

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```
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.
```

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Last modified: December 9, 1999