Regularization methods for a problem of analytic continuation

被引：7
作者：
Xiong, Xiangtuan [1 ]
Zhu, Liqin [1 ]
Li, Ming [1 ]
机构：
[1] Taiyuan Univ Technol, Dept Math, Taiyuan, Shanxi, Peoples R China
来源：
MATHEMATICS AND COMPUTERS IN SIMULATION | 2011年 / 82卷 / 02期
基金：
中国国家自然科学基金; 高等学校博士学科点专项科研基金;
关键词：
Analytic continuation; Ill-posed problems; Generalized Tikhonov regularization; Stability estimate; Error estimate; ILL-POSED PROBLEMS; GENERAL SOURCE CONDITIONS; CONDITIONAL STABILITY; HEAT-EQUATION; CONTINUITY; MODULUS;
D O I：
10.1016/j.matcom.2011.08.005
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 prove a sharp stability estimate for the problem of analytic continuation. Based on the obtained stability estimate, a generalized Tikhonov regularization is provided and the corresponding error estimate is obtained. Moreover, we give many other regularization methods. For illustration, a numerical experiment is constructed to demonstrate the feasibility and efficiency of the proposed method. (C) 2011 IMACS. Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：332 / 345
页数：14
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