Approximation of finite-section equations by piecewise constant functions

被引：0

作者：

E. V. Lebedeva

S. G. Solodky

机构：

[1] National Academy of Sciences of Ukraine,Institute of Mathematics

来源：

Computational Mathematics and Mathematical Physics | 2008年 / 48卷

关键词：

finite-section method; piecewise constant interpolation; ill-posed problem; Fredholm integral equation of the first kind;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The problem is studied of reducing the amount of discrete information required for achieving a prescribed accuracy of solving Fredholm integral equations of the first kind on a half-line. The equations are solved by the finite-section method combined with piecewise constant interpolation of the kernel and the right-hand side at uniform grid points. The approximating properties of the discretization schemes are examined, and the corresponding computational costs are analyzed.

引用

页码：693 / 706

页数：13

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