The minimal radius of Galerkin information for severely ill-posed problems

被引：11

作者：

Solodky, Sergei G. ^{[1
]}

Myleiko, Ganna L. ^{[1
]}

机构：

[1] Natl Acad Sci Ukraine, Inst Math, UA-01601 Kiev, Ukraine

来源：

JOURNAL OF INVERSE AND ILL-POSED PROBLEMS | 2014年 / 22卷 / 05期

关键词：

Minimal radius; Galerkin information; severely ill-posed problems; error estimate; COMPLEXITY;

D O I：

10.1515/jip-2013-0035

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper minimization problems of the information costs for numerical solving severely ill-posed problems are studied. A projection scheme of discretization which is economical in a sense of used harmonics is presented. By means of this scheme the order estimate of the minimal radius of Galerkin information is computed.

引用

页码：739 / 757

页数：19

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