一类广义差分方程组与CDS方法的收敛性

A CILASS OF GENERALIZED DIFFERENCE EQUATION SYSTEMS AND THE CONVERGENCE OF CDS METHODS

本文首先证明了基于 ILMM 的 CDS 格式是不收敛的,然后对一类广义差分方程组给出了解的估计式,最后,在这个基础上,对基于 IMLMM 的 CDS 格式建立了收敛性定理,给出的收敛阶也是最佳的。

This paper firstly proves that any CDS scheme based on ILMM is notconvergent,and then gives the estimation of the solution of a class of generalized difference equation systems.Finally,based on the estimation,the conver-gence theorem for CDS scheme based on IMLMM is set up,and the order ofthe convergence is also optimal.