Stability of two-layer operator-difference schemes with symmetric and skew-symmetric operators
N. V. Ardelyan
M. V. Lomonosov Moscow State University
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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N. V. Ardelyan, “Stability of two-layer operator-difference schemes with symmetric and skew-symmetric operators”, Fundam. Prikl. Mat., 5:4 (1999), 979–991
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\paper Stability of two-layer operator-difference schemes with symmetric and skew-symmetric operators
\jour Fundam. Prikl. Mat.
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