Special regularizing methods for ill-posed problems with sourcewise represented solutions

被引：11

作者：

Leonov, AS

Yagola, AG

机构：

[1] Moscow Engn Phys Inst, Dept Math, Moscow 115409, Russia

[2] Moscow MV Lomonosov State Univ, Fac Phys, Dept Math, Moscow 119899, Russia

来源：

INVERSE PROBLEMS | 1998年 / 14卷 / 06期

关键词：

D O I：

10.1088/0266-5611/14/6/012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we propose new special versions of the discrepancy method, the quasisolution method and the Tikhonov method for the case when we possess the additional a priori information that the solution of an ill-posed problem has a source representation. In the methods presented no saturation occurs. All these methods are optimal in order of accuracy. They can be numerically implemented.

引用

页码：1539 / 1550

页数：12

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