论文信息 - A criterion forA(α)-stability of linear multistep methods

A criterion forA(α)-stability of linear multistep methods

Some easy-to-check conditions are given which together are sufficient forA(α)-stability. As an application the greatest α's are determined which giveA(α)-stability for the differentiation formulae withk=3, 4, 5 and 6.

Syvert P. Norsett

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[3] G. Dahlquist. A special stability problem for linear multistep methods , 1963 .