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

作　　者：胡齐芽[1,2] 彭龙[3] 

机构地区：[1]湘潭大学数学系 [2]中国科学院计算数学与科学工程计算研究所,北京,100080 [3]北京外国语大学国际经贸学院

出　　处：《系统科学与数学》1999年第2期134-141,共8页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学青年基金

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．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：配置解 误差展开式 校正估计 积分微分方程 

分 类 号：O175.6[理学—数学]