The iterative correction method for volterra integral equations

被引：10

作者：

Brunner, H

Qun, L

Yan, NN

机构：

[1] MEM UNIV NEWFOUNDLAND,DEPT MATH & STAT,ST JOHNS,NF A1C 5S7,CANADA

[2] ACAD SINICA,INST SYST SCI,BEIJING 100080,PEOPLES R CHINA

来源：

BIT | 1996年 / 36卷 / 02期

关键词：

Volterra integral equations; collocation; iterative correction;

D O I：

10.1007/BF01731980

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

We show that the (n - 1)-fold application of an iterative correction technique to the iterated collocation solution corresponding to the one-point Gauss collocation solution for a Volterra integral equation of the second kind leads to a significant improvement in the precision of these approximations: the resulting rate of (global) convergence is O(h(n)).

引用

页码：221 / 228

页数：8

共 6 条

[1] THE DISCRETE COLLOCATION METHOD FOR NONLINEAR INTEGRAL-EQUATIONS [J].