Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4632303 | Applied Mathematics and Computation | 2010 | 11 Pages |
Abstract
Numerical differentiation is a classical ill-posed problem. In this paper, we propose a wavelet-Galerkin method for high order numerical differentiation. By an appropriate choice of the regularization parameter an order optimal stability estimate of Hölder type is obtained. Some numerical examples show that the method is effective and stable.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Fang-Fang Dou, Chu-Li Fu, Yun-Jie Ma,