一类具有A(j)-稳定性的混合线性多步方法

J. Num. Math. Pub Date : 2013-06-01 DOI:10.1515/jnum-2013-0006

R. Okuonghae, M. Ikhile

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引用次数: 20

摘要

摘要本文考虑一类具有合理误差阶的混合线性多步方法，用于求解常微分方程中刚性初值问题的数值解。当k = 1，…，9时，该方法是稳定的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A class of hybrid linear multistep methods with A(ɑ)-stability properties for stiff IVPs in ODEs

Abstract In this paper, we consider a family of hybrid linear multistep methods (LMM) with reasonable error order for the numerical solution of stiff initial value problems (IVPs) in ordinary differential equations (ODEs). The methods are A(ɑ)-stable for k = 1, ...,9.

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J. Num. Math.

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