A fractional Landweber iterative regularization method for stable analytic continuation

doi:10.3934/math.2021025

IR > 理学院

	A fractional Landweber iterative regularization method for stable analytic continuation
	Yang, Fan; Wang, Qianchao; Li, Xiaoxiao
	2021
发表期刊	AIMS MATHEMATICS
卷号	6 期号:1 页码:404-419
摘要	In this paper, we consider the problem of analytic continuation of the analytic function g(z) = g(x + iy) on a strip domain Omega = {z = x + iy is an element of C vertical bar x is an element of R, 0 < y < y(0)}, where the data is given only on the line y = 0. This problem is a severely ill-posed problem. We propose the fraction Landweber iterative regularization method to deal with this problem. Under the a priori and a posteriori regularization parameter choice rule, we all obtain the error estimates between the regularization solution and the exact solution. Some numerical examples are given to verify the efficiency and accuracy of the proposed methods.
关键词	stable analytic continuation fractional Landweber regularization method III-posed problem inverse problem
DOI	10.3934/math.2021025
收录类别	SCOPUS ; SCIE
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000590361100025
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
来源库	WOS
引用统计	被引频次：3[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://ir.lut.edu.cn/handle/2XXMBERH/147373
专题	理学院
通讯作者	Yang, Fan
作者单位	Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Gansu, Peoples R China
第一作者单位	理学院
通讯作者单位	理学院
第一作者的第一单位	理学院
推荐引用方式 GB/T 7714	Yang, Fan,Wang, Qianchao,Li, Xiaoxiao. A fractional Landweber iterative regularization method for stable analytic continuation[J]. AIMS MATHEMATICS,2021,6(1):404-419.
APA	Yang, Fan,Wang, Qianchao,&Li, Xiaoxiao.(2021).A fractional Landweber iterative regularization method for stable analytic continuation.AIMS MATHEMATICS,6(1),404-419.
MLA	Yang, Fan,et al."A fractional Landweber iterative regularization method for stable analytic continuation".AIMS MATHEMATICS 6.1(2021):404-419.