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四点嵌套迭代并行算法
引用本文:刘庆富.四点嵌套迭代并行算法[J].贵州大学学报(自然科学版),2002,19(1):18-21.
作者姓名:刘庆富
作者单位:贵州大学数学系,贵州,贵阳,550025
摘    要:主要构造了求解一维隐式差分方程的四点嵌套迭代并行算法,并证明了它的收敛性。数值算例表明,四点嵌套迭代法不仅有好的并行性,且有较高的收敛性和计算精度。

关 键 词:四点嵌套迭代法  收敛性  隐式差分方程  并行算法  计算精度

Quadri-Points Embedding Overlapped Iteration Prallel Algorithm
Abstract.Quadri-Points Embedding Overlapped Iteration Prallel Algorithm[J].Journal of Guizhou University(Natural Science),2002,19(1):18-21.
Authors:Abstract
Abstract:The focal point is to construct a new embedding overlapped iterative algorithm for solving one-dimensional implicit difference equations. The quadri-points embedding overlapped iterative (QEOI) algorithm is set up and its convergence property is proved. And more, the method has the advantages of paralleling computing, stability and accuracy. In the numerical experiments for an example the convergence and the accuracy of the method is showed.
Keywords:QEOI method  convergence property  implicit difference equation
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