| 两步Runge-Kutta方法求解延迟微分方程的GPL-稳定性 |
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| 引用本文： | 蒋成香.两步Runge-Kutta方法求解延迟微分方程的GPL-稳定性[J].上海师范大学学报(自然科学版),2010,39(4):344-351. |
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| 作者姓名： | 蒋成香 |
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| 作者单位： | 上海师范大学,天华学院,上海,201815 |
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| 摘 要： | 主要研究了两步Runge-Kutta方法求解延迟系统方程的稳定性.首先讨论了两步Runge-Kutta方法求解常微分方程数值解的L-稳定性,给出L-稳定性的充分性条件,然后讨论延迟微分方程的GPL-稳定性,得到延迟微分方程是GPL-稳定的充要条件是它是L-稳定的.
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| 关 键 词： | 延迟微分方程 两步Runge-Kutta方法 GPL-稳定 |
The GPL-stability of the two-step Runge-Kutta methods for delay differential systems |
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| JIANG Cheng-xiang.The GPL-stability of the two-step Runge-Kutta methods for delay differential systems[J].Journal of Shanghai Normal University(Natural Sciences),2010,39(4):344-351. |
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| Authors: | JIANG Cheng-xiang |
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| Abstract: | This paper deals with the numerical stability of the two-step Runge-Kutta methods for delay differential equations(DDEs).The conditions of L-stability of two-step Runge-Kutta methods for ordinary differential equation (ODE) are discussed,It is shown that two-step Runge-Kutta mthods is GPL-stable for DDEs if and only if the corresponding methods for ODE is L-stable. |
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| Keywords: | delay differential equations two-step Runge-Kutta method GPL-stability |
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