块θ方法关于一类广义延迟微分方程的渐近稳定性

Numerical Stability of Block θ-methods for a Type of General Delay Differential-algebraic Equations

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摘要基于延迟微分代数方程的稳定性理论,讨论了一类广义延迟微分代数方程的渐近稳定性,并讨论了块θ方法应用于其上的渐近稳定性。 This paper deals with the asymptotic behavior of block θ-methods for a type of general delay differential-algebraic equations. It is shown that the methods preserve the asymptotic stability of the equations under certain conditions if applied to the equations.

作者汪玉霞

机构地区华中科技大学数学系

出处《四川理工学院学报（自然科学版）》 CAS 2007年第3期18-21,共4页 Journal of Sichuan University of Science & Engineering(Natural Science Edition)

关键词延迟微分代数方程块θ方法稳定性 delay differential-algebraic equations block θ-methods stability

分类号 O241.8 [理学—计算数学]

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参考文献7

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共引文献3

1赵景军,董世勇,徐阳.中立型延迟微分代数系统新θ-方法的稳定性分析[J].黑龙江大学自然科学学报,2006,23(5):651-654.
2汪玉霞.块θ方法关于一类广义延迟微分方程的渐近稳定性[J].应用数学,2007,20(S1):159-162.
3丛玉豪,赵欢欢,张艳.中立型时滞微分系统多步龙格—库塔方法的时滞相关稳定性[J].数值计算与计算机应用,2018,39(4):310-320. 被引量：3

1汪玉霞.块θ方法关于一类广义延迟微分方程的渐近稳定性[J].应用数学,2007,20(S1):159-162.
2徐阳,刘明珠.多延迟微分代数方程θ-方法的渐近稳定性(英文)[J].黑龙江大学自然科学学报,2004,21(3):3-6. 被引量：5
3肖飞雁,曹学年.一类延迟微分代数方程的稳定性[J].吉首大学学报（自然科学版）,2006,27(3):4-6.

四川理工学院学报（自然科学版）

2007年第3期

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块θ方法关于一类广义延迟微分方程的渐近稳定性

参考文献7

二级参考文献10

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