| 滞时Volterra积分方程数值方法的数值稳定性分析 |
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| 引用本文： | 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[J].应用数学和力学,1995,16(5):451-457. |
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| 作者姓名： | 田红炯 匡蛟勋 |
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| 作者单位： | 上海师范大学数学系 上海 200234 |
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| 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。
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| 关 键 词： | Volterra积分方程 滞时 稳定区域 可约积分方法 θ-方法 |
| 收稿时间： | 1994-05-23 |
Numerical Stahility Analysis of Numerical Nethods forVolterra integral Equations with Delay Argument |
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| Tian Hong-jiong Kuang Jiao-xun.Numerical Stahility Analysis of Numerical Nethods forVolterra integral Equations with Delay Argument[J].Applied Mathematics and Mechanics,1995,16(5):451-457. |
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| Authors: | Tian Hong-jiong Kuang Jiao-xun |
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| Institution: | Department of Mathematics, Shanghai Normal University, Shanghai 200234, P. R. China |
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| 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. |
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