A modified Tikhonov regularization method based on Hermite expansion for solving the Cauchy problem of the Laplace equation
In this paper, a Cauchy problem for the Laplace equation is considered. We develop a modified Tikhonov regularization method based on Hermite expansion to deal with the ill posed-ness of the problem. The regularization parameter is determined by a discrepancy principle. For various smoothness condit...
Main Authors: | Zhao Zhenyu, You Lei, Meng Zehong |
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Format: | Article |
Language: | English |
Published: |
De Gruyter
2020-12-01
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Series: | Open Mathematics |
Subjects: | |
Online Access: | http://www.degruyter.com/view/j/math.2020.18.issue-1/math-2020-0111/math-2020-0111.xml?format=INT |
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