Regularization methods for a problem of analytic continuation |
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Authors: | Xiangtuan XiongLiqin Zhu Ming Li |
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Affiliation: | a Department of Mathematics, Northwest Normal University, Gansu, China b Department of Mathematics, Taiyuan University of Technology, Shanxi, China |
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Abstract: | 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. |
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Keywords: | 30B40 65J20 |
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