A mollification regularization method for stable analytic continuation

被引：16

作者：

Deng, Zhi-Liang ^{[1
,2
]}

Fu, Chu-Li ^{[1
]}

Feng, Xiao-Li ^{[1
]}

Zhang, Yuan-Xiang ^{[1
]}

机构：

[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China

[2] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 610054, Peoples R China

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 2011年 / 81卷 / 08期

基金：

中国国家自然科学基金;

关键词：

Analytic continuation; III-posed problems; Mollification method; Error estimate; A posteriori; APPROXIMATE INVERSE;

D O I：

10.1016/j.matcom.2010.11.011

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper. we consider an analytic continuation problem on a strip domain with the data given approximately only on the real axis. The Gauss mollification method is proposed to solve this problem. An a priori error estimate between the exact solution and its regularized approximation is obtained. Moreover, we also propose a new a posteriori parameter choice rule and get a good error estimate. Several numerical examples are provided, which show the method works effectively. (C) 2010 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：1593 / 1608

页数：16

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