滞时Volterra积分方程数值方法的数值稳定性分析

田红炯; 匡蛟勋

滞时Volterra积分方程数值方法的数值稳定性分析

上海师范大学数学系上海 200234

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出版历程
- 收稿日期: 1994-05-23
- 刊出日期: 1995-05-15

Numerical Stahility Analysis of Numerical Nethods for Volterra integral Equations with Delay Argument

Department of Mathematics, Shanghai Normal University, Shanghai 200234, P. R. China

摘要

摘要: 本文给出数值方法解Volterra积分方程的稳定性分析,我们判定可约积分方法的数值稳定性基于如下试验方程其中τ是正常数,p和q是复值的。在上述试验方程的情况下,我们研究θ-方法及可约积分方法的稳定性。
- Volterra积分方程 /
- 滞时 /
- 稳定区域 /
- 可约积分方法 /
- θ-方法
Abstract: The present paper deals with the stability properties of numerical methods for Volterra integral equations with delay argument. We assess the numerical stability of nunterical methods with respect to the followhlg test equations where τ is a positive constant, and p and q are complex valued. We investigate the stability properties of reducible quadrature method and θ-methods in the case of the above test equations.
- Volterra integral equation /
- delay /
- stability regions /
- reducible quadrature methods /
- θ-methods

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参考文献(19)

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