Regularization Strategy for the Cauchy Problem of Laplace's Equation from the Viewpoint of Regularization Theory

被引：0
|
作者：
QIAN Ailin
机构：
来源：
Wuhan University Journal of Natural Sciences | 2012年 / 04期
关键词：
ill-posed problems; Cauchy problem; regularization; error estimate; spectral methods;
D O I：
暂无
中图分类号：
O175.2 [偏微分方程];
学科分类号：
070104 ;
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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页码：285 / 289
页数：5
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