A mollification regularization method for stable analytic continuation
A mollification regularization method for stable analytic continuation
复制标题
稳定解析连续的软化正则化方法
DOI：
10.1016/j.matcom.2010.11.011
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发表时间：
2011-04-01
影响因子：
4.6
通讯作者：
Zhang, Yuan-Xiang
中科院分区：
文献类型：
--
作者：
Deng, Zhi-Liang;Fu, Chu-Li;Zhang, Yuan-Xiang
在这篇论文中。我们考虑了只在实轴上给出近似数据的条形区域上的解析延拓问题。为了解决这一问题，提出了高斯软化方法。得到了精确解与其正则化近似解之间的先验误差估计。此外，我们还提出了一种新的后验参数选择准则，并得到了较好的误差估计。文中给出了几个数值算例，验证了该方法的有效性。(C)2010款iMac。爱思唯尔出版，版权所有。
In this paper. we consider an analytic continuation problem on a strip domain with the data given approximately only on the real axis. The Gauss mollification method is proposed to solve this problem. An a priori error estimate between the exact solution and its regularized approximation is obtained. Moreover, we also propose a new a posteriori parameter choice rule and get a good error estimate. Several numerical examples are provided, which show the method works effectively. (C) 2010 IMACS. Published by Elsevier B.V. All rights reserved.