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计算数学  1991 

SUFFICIENT CONDITIONS FOR THE STABILITY OF DISCRE TE SCHEMES OF OPERATOR EQUATIONS
算子方程离散格式判稳的充分条件

Keywords: 算子方程,离散格式,稳定性,判别

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Abstract:

A. A. Samarasky has given some sufficient conditions for stability 1], but tbe test of theconditions requires estimating the norm or the eigenvalues of the operator. In general that isdifficult. This paper provides new sufficient conditions for stability, which are easily tested.Particularly, they are applicable to non-uniform finite element division.

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