| 解常微分方程组初值问题一步混合方法的代数稳定性 |
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| 引用本文： | 丛玉豪,黄清龙.解常微分方程组初值问题一步混合方法的代数稳定性[J].兰州大学学报(自然科学版),1994,30(4):23-28. |
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| 作者姓名： | 丛玉豪 黄清龙 |
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| 作者单位： | 兰州大学数学系 |
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| 摘 要： | 本文在各种合理的内向量不同选取下，讨论了一步混合方法的代数稳定性，导出了一步混合方法代数稳定的充要条件。据此，得到了一系列结论。最后，给出了若干一步二阶、三阶代数稳定的混合方法公式。
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| 关 键 词： | 常微分方程 混合方法 代数稳定性 初值问题 |
Algebraic Stability of One-step Hybrid Methods for Solving the Initial Value Problems of Ordinary Differential Equations |
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| Cong Yuhao, Huang Qinlong.Algebraic Stability of One-step Hybrid Methods for Solving the Initial Value Problems of Ordinary Differential Equations[J].Journal of Lanzhou University(Natural Science),1994,30(4):23-28. |
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| Authors: | Cong Yuhao Huang Qinlong |
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| Abstract: | This paper is concerned with the algebraic stability of one-step hybrid method under the various different choices of internal vector. A sufficient and necessary condition for the algebraic stability of one-step hybrid method is derived. Furthermore, we derive a series of results. we give a number of one-step two-order and three-order hybrid formulae which are algebraically stable in the end. |
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| Keywords: | stiff ordinary differential equations hybrid methods numerical analysis internal vectori general linear method algebraic stability |
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