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A mollification regularization method for stable analytic continuation

Author

Listed:
  • Deng, Zhi-Liang
  • Fu, Chu-Li
  • Feng, Xiao-Li
  • Zhang, Yuan-Xiang

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.

Suggested Citation

  • Deng, Zhi-Liang & Fu, Chu-Li & Feng, Xiao-Li & Zhang, Yuan-Xiang, 2011. "A mollification regularization method for stable analytic continuation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(8), pages 1593-1608.
    • Handle: RePEc:eee:matcom:v:81:y:2011:i:8:p:1593-1608
    DOI: 10.1016/j.matcom.2010.11.011
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    Cited by:

    1. Xuemin Xue & Xiangtuan Xiong, 2021. "A Posteriori Fractional Tikhonov Regularization Method for the Problem of Analytic Continuation," Mathematics, MDPI, vol. 9(18), pages 1-11, September.

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