A computational method for stable analytic continuation (Q1956215)
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scientific article; zbMATH DE number 6175212
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A computational method for stable analytic continuation |
scientific article; zbMATH DE number 6175212 |
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A computational method for stable analytic continuation (English)
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13 June 2013
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The problem of analytical continuation of an analytic function on a strip domain in the complex plane, when the data are only given on the real axis, is studied here (cf. [\textit{D. N. Hào} and \textit{H. Sahli}, in: Proceedings of the 2004 international conference on applied mathematics (ICAM) on methods of complex Clifford analysis, Hanoi, Vietnam, August 25--29, 2004. Delhi: SAS International Publications. 143--152 (2004; Zbl 1102.65031)]). A modified kernel method is used to solve the problem. Convergence estimates with an appropriate choice of the regularization parameter are obtained. Some numerical tests are also given to show the effectiveness of the presented method.
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analytic continuation
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regularization
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modified kernel method
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ill-posed problem
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convergence
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numerical tests
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