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
收藏
页码：515 / 538
页数：24
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