| Regularization strategy for the Cauchy problem of Laplace’s equation from the viewpoint of regularization theory |
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| 基金项目： | Supported by the Youth Project of Hubei Provincial Department of Education (Q20102804);the Outstanding Young Team Project of Hubei Provincial Higher School (T201009) |
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| 摘 要： | Within the framework of the regularization theory, a spectral regularization method is introduced and analyzed. The convergence estimate under an appropriate choice of regularization parameter is obtained. A numerical implementation is described. Numerical examples show that the proposed method is effective and stable.
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| 关 键 词： | ill-posed problems Cauchy problem regularization error estimate spectral methods |
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