| 非线性刚性变延迟微分方程单支方法的D-收敛性 |
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| 引用本文： | 王文强,李寿佛. 非线性刚性变延迟微分方程单支方法的D-收敛性[J]. 计算数学, 2004, 26(2): 247-256 |
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| 作者姓名： | 王文强 李寿佛 |
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| 作者单位： | 湘潭大学数学系,湘潭,411105;湘潭大学数学系,湘潭,411105 |
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| 基金项目： | 国家863高技术惯性约束聚变主题资助科研项目，国家自然科学基金资助项目(10271100)，湖南省自然科学基金(03JJY3004)，湖南省教育厅资助科研项目. |
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| 摘 要： | This paper is concerned with the error analysis of one-leg methods when applied to nonlinear stiff Delay Differential Equations(DDEs) with a variable delay. It is proved that a one-leg method with Lagrangian linear interpolation procedure is D-convergent of oder p if and only if it is A-stable and consistent of order p in the classical sense for ODEs. The results obtained can be regarded as extension of that for DDEs with constant delay presented by Huang Chenming et al. in 2001
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| 关 键 词： | 延迟微分方程 单支方法 D-收敛 |
| 修稿时间： | 2003-08-30 |
D-CONVERGENCE OF ONE-LEG METHODS FOR NONLINEAR STIFF DELAY DIFFERENTIAL EQUATIONS WITH A VARIABLE DELAY |
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| Wang Wenqiang Li Shoufu. D-CONVERGENCE OF ONE-LEG METHODS FOR NONLINEAR STIFF DELAY DIFFERENTIAL EQUATIONS WITH A VARIABLE DELAY[J]. Mathematica Numerica Sinica, 2004, 26(2): 247-256 |
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| Authors: | Wang Wenqiang Li Shoufu |
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| Affiliation: | Wang Wenqiang Li Shoufu (Department of Mathematics, Xiangtan University, Xiangtan, Hunan, 411105) |
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| Abstract: | This paper is concerned with the error analysis of one-leg methods when applied to nonlinear stiff Delay Differential Equations(DDEs) with a variable delay. It is proved that a one-leg method with Lagrangian linear interpolation procedure is D-convergent of oder p if and only if it is A-stable and consistent of order p in the classical sense for ODEs. The results obtained can be regarded as extension of that for DDEs with constant delay presented by Huang Chengming et al. in 2001 |
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| Keywords: | Delay differential equations one-leg methods D-convergence |
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