Approximate inverse method for stable analytic continuation in a strip domain

✍ Scribed by Yuan-Xiang Zhang; Chu-Li Fu; Liang Yan

• Book ID: 104007300
• Publisher: Elsevier Science
• Year: 2011
• Tongue: English
• Weight: 541 KB
• Volume: 235
• Category: Article
• ISSN: 0377-0427
• DOI: 10.1016/j.cam.2010.12.017

✦ Synopsis

Numerical analytic continuation is, in general, an ill-posed problem and some special regularization methods are needed. In this paper we apply the approximate inverse method to deal with the problem in a strip domain

plane, the data is known approximately only on the line y = 0. Error estimate between the exact and approximate solution with regularization parameter selected by both a priori and a posteriori strategy are provided, respectively. Numerical results show that the method works effectively, and can be a competitive alternative to existing method for the problem.