| 用正则化方法求解代数—微分方程组 |
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| 引用本文： | 王海艳. 用正则化方法求解代数—微分方程组[J]. 南京师大学报(自然科学版), 1998, 21(1): 1-3,9 |
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| 作者姓名： | 王海艳 |
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| 作者单位： | 南京师范大学数学系 |
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| 摘 要： | 当代由于代数－微分方程组可年地作是无限抽象 性常微分方程组，因而代数－微分方程 可看作是刚性常微分方程组的解在某种意义下的极限。
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| 关 键 词： | 常微分方程组 正则化方法 代数微分方程组 |
Regularization Methods for the Treatment of Differential-Algebraic Equations |
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| Wang Haiyan. Regularization Methods for the Treatment of Differential-Algebraic Equations[J]. Journal of Nanjing Normal University(Natural Science Edition), 1998, 21(1): 1-3,9 |
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| Authors: | Wang Haiyan |
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| Affiliation: | Wang Haiyan |
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| Abstract: | This paper deals with the regularization methods for the treatment of DAEs.One can interpret DAEs as infinitely stiff ODEs,so the solutions of DAEs can be considered as the limit of the solutions to the stiff ODEs in a certain sense.Semi explicit DAEs in Hessenberg form with index less than 3 can be regularized to a stiff ODEs by using the technique in this paper.A numerical example is given to show the detailed regularization process. |
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| Keywords: | differential-algebraic equations (DAEs) stiff ordinary differential equations (stiff ODEs) regularization method |
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