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时滞积-微分方程配置解的多重校正
MULTILEVEL CORRECTION FOR COLLOCATION SOLUTIONS OF VOLTERRA DELAY-INTEGRO-DIFFERENTIAL EQUATIONS
【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.
【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.
【关键词】 时滞积-微分方程;
配置解;
误差展开式;
校正估计;
【Key words】 Delay-integro-differential equation; collocation solution; error expansion; multilevel correction;
【Key words】 Delay-integro-differential equation; collocation solution; error expansion; multilevel correction;
【基金】 国家自然科学青年基金
- 【文献出处】 系统科学与数学 ,JOURNAL OF SYSTEMS SCIENCE AND MATHEMATICAL SCIENCES , 编辑部邮箱 ,1999年02期
- 【分类号】O175
- 【被引频次】2
- 【下载频次】40