%0 Journal Article
%T THE ERROR ESTIMATE OF NEWTON-COTES METHODS TO COMPUTE HYPERSINGULAR INTEGRAL<br>牛顿科茨公式计算超奇异积分的误差估计
%A Li Jin
%A Yu Dehao
%A <br>李金
%A 余德浩
%J 计算数学
%D 2011
%I 
%X The composite Newton-Cotes rules for the computation of hypersingular integral on interval is studied. The emphasis is placed on certain function, denoted by Sk(p)(τ), in the error functional, where τ is the local coordinate of the singular point. When Sk(p)(τ)=0 the so-called point wise superconvergence phenomenon occurs. Besides, the property of Sk(p)(τ) is presented. At last, numerical examples are provided to validate the theoretical analysis.
%K hypersingular integral
%K Newton-Cotes rule
%K error estimate<br>超奇异积分
%K 牛顿科茨公式
%K 误差展开式
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=CC77F3CEF526D9CF0B3021650FB4E57E&aid=844AA66BB344A493BB3DF3ECF1CE9680&yid=9377ED8094509821&vid=27746BCEEE58E9DC&iid=CA4FD0336C81A37A&sid=E44E40A2398D4F2A&eid=7AA74D31F1FF2DCE&journal_id=0254-7791&journal_name=计算数学&referenced_num=0&reference_num=18