Fast spline quasicollocation solvers of integral equations

被引：8

作者：

Vainikko, G. ^{[1
]}

Zolk, I. ^{[1
]}

机构：

[1] Univ Tartu, Inst Math, EE-50409 Tartu, Estonia

来源：

MATHEMATICAL MODELLING AND ANALYSIS | 2007年 / 12卷 / 04期

关键词：

fast solvers; Fredholm integral equation; complexity; quasicollocation method; two grid iterations; splines; interpolation; quasi-interpolation;

D O I：

10.3846/1392-6292.2007.12.515-538

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A fast (C, C-m) solver for linear Fredholm integral equations u = Tu + f with smooth data is constructed on the basis of a discrete version of the spline quasicollocation method. By a fast (C, C-m) solver we mean a discrete method that meets the optimal accuracy for f is an element of C-m with minimal arithmetic work.

引用

页码：515 / 538

页数：24

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