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块迭代解法在偏微分方程数值解中的应用
引用本文:刘荣花.块迭代解法在偏微分方程数值解中的应用[J].长春师范学院学报,2010(6).
作者姓名:刘荣花
作者单位:齐齐哈尔高等师范专科学校理工系;
摘    要:本文从偏微分方程定解问题出发,比较偏微分方程数值解的各种方法,针对大型稀疏的方程组的系数矩阵的块结构性质,提出将块迭代解法用于求解偏微分方程,从而有效地解决了该类问题。

关 键 词:偏微分方程  迭代法  线性代数  块迭代  

Application of Block-iterative Methods in Solving the Numerical Solution of Partial Differential Equations
LIU Rong-hua.Application of Block-iterative Methods in Solving the Numerical Solution of Partial Differential Equations[J].Journal of Changchun Teachers College,2010(6).
Authors:LIU Rong-hua
Institution:LIU Rong-hua(Department of Technology,Qiqihar Teachers College,Qiqihar 161005,China)
Abstract:Starting from the definite solution problems of partial differential equations,this paper compared different methods of numerical solution of these equations,and proposed the block-iterative methods for solving partial differential equations based on the block structure character of coefficient matrix of large sparse equations to effectively solve this kind of problem.
Keywords:partial differential equations  iterative methods  linear algebra  block-iterative  
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