A fractional Landweber iterative regularization method for stable analytic continuation | |
Yang, Fan![]() ![]() | |
2021 | |
发表期刊 | AIMS MATHEMATICS
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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 | |
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. |
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