A mollification regularization method for stable analytic continuation

Zhi-Liang Deng, Chu-Li Fu, Xiao-Li Feng and Yuan-Xiang Zhang

Mathematics and Computers in Simulation (MATCOM), 2011, vol. 81, issue 8, 1593-1608

Abstract: 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.

Keywords: Analytic continuation; Ill-posed problems; Mollification method; Error estimate; A posteriori (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:81:y:2011:i:8:p:1593-1608

DOI: 10.1016/j.matcom.2010.11.011

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