Uniform convergence of monotone iterative methods for semilinear singularly perturbed problems of elliptic and parabolic types

被引：0

作者：

Boglaev, I ^{[1
]}

机构：

[1] Massey Univ, Inst Fundamental Sci, Palmerston North, New Zealand

来源：

ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS | 2005年 / 20卷

关键词：

singular perturbation; reaction-diffusion problem; convection-diffusion problem; discrete monotone iterative method; uniform convergence;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with discrete monotone iterative methods for solving semilinear singularly perturbed problems of elliptic and parabolic types. The monotone iterative methods solve only linear discrete systems at each iterative step of the iterative process. Uniform convergence of the monotone iterative methods are investigated and rates of convergence are estimated. Numerical experiments complement the theoretical results.

引用

页码：86 / 103

页数：18

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