%0 Journal Article
%T MULTILEVEL CORRECTION FOR COLLOCATION SOLUTIONS OF VOLTERRA DELAY-INTEGRO-DIFFERENTIAL EQUATIONS<br>时滞积-微分方程配置解的多重校正
%A Qi Ya Hu
%A Long PENG
%A <br>胡齐芽
%A 彭龙
%J 系统科学与数学
%D 1999
%I 
%X 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.
%K Delay-integro-differential equation
%K collocation solution
%K error expansion
%K multilevel correction<br>时滞积-微分方程
%K 配置解
%K 误差展开式
%K 校正估计
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=C43468F676BB875F&yid=B914830F5B1D1078&vid=2A8D03AD8076A2E3&iid=0B39A22176CE99FB&sid=03A030BB0C519C60&eid=A8DE7703CC9E390F&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=0