%0 Journal Article
%T The Global Behavior of Spacial Spectral Collocation Methods for a Partial Integro-Differential Equation with a Weakly Singular Kernel<br>一类带弱奇异核偏积分微分方程空间谱配置方法的全局性
%A TANG Jie
%A <br>唐杰
%J 系统科学与数学
%D 2009
%I 
%X The Laplace transform is introduced to analyze the method of spectral collocation,which is a collocation method at the Gauss-Lobatto quadrature points, for the semidiscretization of a class of linear partial integro-differential equations arising in viscoelasticity problems, for example. The stability and convergence of the space discretization are examined.
%K Partial integro-differential equation
%K weakly singular kernel
%K spectral collocation methods
%K Laplace transform<br>偏积分微分方程
%K 弱奇异核
%K 谱配置方法
%K 拉普拉斯变换.
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=560C5287CCB834D0C372FFCBD765BA55&yid=DE12191FBD62783C&vid=771469D9D58C34FF&iid=94C357A881DFC066&sid=6C62BFE34266FA92&eid=46682C11199DA00C&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=8