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.

引用

页码：285 / 289

页数：5

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