Title :
The TSVD Method for Numerical Differentiation of 2D Functions
Author :
Zhao, Zhenyu ; Yue, Chuan
Author_Institution :
Coll. of Sci., Guangdong Ocean Univ., Zhangjiang, China
Abstract :
Numerical is a a classical ill-posed problem. In this paper, we propose a new method for numerical differentiation of bivariate functions. The truncated singular value decomposition (TSVD)regularization approach of weighted generalized solution for reasonable equations has been introduced to deal with the ill-posed ness of the problem. We show that the method can be realized by the discrete sine transform. Theoretical and numerical results show that the method is effective.
Keywords :
Computer science; Discrete transforms; Educational institutions; Equations; Marine technology; Oceans; Optimization methods; Sea measurements; Singular value decomposition; Telecommunication computing; ill posed problem; numerical differentiation; the truncated singular value decomposition method;
Conference_Titel :
Computational Science and Optimization (CSO), 2010 Third International Joint Conference on
Conference_Location :
Huangshan, Anhui, China
Print_ISBN :
978-1-4244-6812-6
Electronic_ISBN :
978-1-4244-6813-3
DOI :
10.1109/CSO.2010.11
