| Runge-Kutta方法对微分代数方程的正则性 |
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| 引用本文： | 张春蕊,郑宝东.Runge-Kutta方法对微分代数方程的正则性[J].黑龙江大学自然科学学报,2003,20(3):6-9. |
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| 作者姓名： | 张春蕊 郑宝东 |
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| 作者单位： | 哈尔滨工业大学,理学院,黑龙江,哈尔滨,150001 |
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| 基金项目： | National Natural Science Foundation of China(10271036) |
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| 摘 要： | Runge-Kutta方法对微分代数方程是正则的,是指数值解的有限渐进值与方程本身的渐进值是相等的.给出了保证Runge-Kutta方法对微分代数方程是正则的条件,证明了Runge-Kutta方法是正则的充要条件是折叠方法是正则的.
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| 关 键 词： | 微分代数方程 Runge-Kutta方法 正则性 |
Regularity properties of Runge-Kutta method for differential-algebraic equation |
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| Abstract.Regularity properties of Runge-Kutta method for differential-algebraic equation[J].Journal of Natural Science of Heilongjiang University,2003,20(3):6-9. |
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| Authors: | Abstract |
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| Abstract: | The numerical method for differential - algebraic equation is regular if it has the same set of finite asymptotic values as the underlying differential - algebraic system. The conditions that guarantee regular properties of Runge-Kutta method for differential - algebraic equation are considered. It is proved that the Runge -Kutta method for differential - algebraic equation is regular if and only if the fold method is regular for differential - algebraic equation. |
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| Keywords: | differential - algebraic equation Runge -Kutta method regularity properties |
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