| 时滞积-微分方程配置解的多重校正 |
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| 引用本文： | 胡齐芽,彭龙.时滞积-微分方程配置解的多重校正[J].系统科学与数学,1999,19(2):134-141. |
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| 作者姓名： | 胡齐芽 彭龙 |
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| 作者单位： | 湘潭大学数学系!湘潭，411105，中国科学院计算数学与科学工程计算研究所，北京，100080，北京外国语大学国际经贸学院!北京，100081 |
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| 摘 要： | 本文讨论线性Volterra时滞积一微分方程的连续分片多项式样条配置方法．在适当条件下，获得了配置解的导数在结点集上成立的精细误差展开式．以此为基础，给出了配置解的多重校正格式．
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| 关 键 词： | 时滞积-微分方程 配置解 误差展开式 校正估计 |
MULTILEVEL CORRECTION FOR COLLOCATION SOLUTIONS OF VOLTERRA DELAY-INTEGRO-DIFFERENTIAL EQUATIONS |
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| Qi Ya Hu,Long PENG.MULTILEVEL CORRECTION FOR COLLOCATION SOLUTIONS OF VOLTERRA DELAY-INTEGRO-DIFFERENTIAL EQUATIONS[J].Journal of Systems Science and Mathematical Sciences,1999,19(2):134-141. |
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| Authors: | Qi Ya Hu Long PENG |
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| Institution: | (1)Department of Mathematics, Xiangtan University, Xiangtan 411105,P.R.China;(2)School of International Business,Beijing Foreign Studies Univ.,Beijing 100081 |
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| Abstract: | In this paper the continuous piecewise polynomial spline collocation method for linear Volterra delay-integro-different equation is discussed. It is shown that the first derivative of the corresponding collocation solution admits, under suitable assumptions, a precise error expansion at the knots. Based on this expansion, a multilevel correction estimate of this collocation solution is obtained. |
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| Keywords: | Delay-integro-differential equation collocation solution error expansion multilevel correction |
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