The Global Behavior of Spacial Spectral Collocation Methods for a Partial Integro-Differential Equation with a Weakly Singular Kernel
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

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.