Regularization Strategy for the Cauchy Problem of Laplace's Equation from the Viewpoint of Regularization Theory
Regularization Strategy for the Cauchy Problem of Laplace's Equation from the Viewpoint of Regularization Theory作者机构：School of Mathematics and StatisticsHubei University of Science and TechnologyXianning 437100HubeiChina
出 版 物：《Wuhan University Journal of Natural Sciences》 (武汉大学学报（自然科学英文版）)
年 卷 期：2012年第17卷第4期
页 面：285-289页
学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学]
基 金：Supported by the Youth Project of Hubei Provincial Department of Education (Q20102804) the Outstanding Young Team Project of Hubei Provincial Higher School (T201009)
主 题：ill-posed problems Cauchy problem regularization error estimate spectral methods
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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