| 解一类二阶延迟常微分方程连续RKN方法的P-稳定性 |
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| 引用本文： | 丁效华,邹巾英,刘明珠.解一类二阶延迟常微分方程连续RKN方法的P-稳定性[J].高等学校计算数学学报,2005,27(2):123-132. |
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| 作者姓名： | 丁效华 邹巾英 刘明珠 |
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| 作者单位： | 哈尔滨工业大学(威海)数学系,威海,264209;哈尔滨工业大学(威海)数学系,威海,264209;哈尔滨工业大学(威海)数学系,威海,264209 |
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| 基金项目： | 国家自然科学基金;哈尔滨工业大学校科研和教改项目 |
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| 摘 要： | In this paper, we study the P-stability of the continuous Runge-Kutta Nystroem method for solving the delayed second order differential equation that does not depend on y′. A general theorem is presented which can be used to obtain complete characterizations of the P-stability regions of these continuous RungeKutta- Nystroem methods. We use the condition to two given RKN methods.
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| 关 键 词： | 二阶延迟常微分方程 连续RKN方法 P-稳定性 荣格-库塔定理法 |
P-STABILITY OF CONTINUOUS RUNGE-KUTTA-NYSTR(O)M METHOD FOR A CLASS OF DELAYED SECOND ORDER DIFFERENTIAL EQUATION |
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| DING Xiaohua,Zou Jinying,LIU Mingzhu.P-STABILITY OF CONTINUOUS RUNGE-KUTTA-NYSTR(O)M METHOD FOR A CLASS OF DELAYED SECOND ORDER DIFFERENTIAL EQUATION[J].Numerical Mathematics A Journal of Chinese Universities,2005,27(2):123-132. |
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| Authors: | DING Xiaohua Zou Jinying LIU Mingzhu |
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| Abstract: | In this paper, we study the P-stability of the continuous Runge-Kutta-Nystrom method for solving the delayed second order differential equation that does not depend on y'. A general theorem is presented which can be used to obtain complete characterizations of the P-stability regions of these continuous Runge-Kutta- Nystrom methods. We use the condition to two given RKN methods. |
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| Keywords: | second-order differential equations Runge-Kutta-Nystrom method stability |
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