Title :
Numerical Differentiation by Legendre-Gauss-Lobatto Interpolation
Author :
Zhao, Zhenyu ; You, Lei
Author_Institution :
Coll. of Sci., Guangdong Ocean Univ., Zhanjiang, China
Abstract :
A numerical differentiation problem for a given function with noisy data is discussed in this paper. A Legendre-Gauss-Lobatto interpolation method with a truncated strategy has been introduced to deal with ill-posed ness. The theoretical analysis and numerical results show that the method is effective.
Keywords :
differentiation; interpolation; Legendre-Gauss-Lobatto interpolation; noisy data; numerical differentiation problem; truncated strategy; Convergence; Interpolation; Inverse problems; Oceans; Piecewise linear approximation; Polynomials; Legendre-Gauss-Lobatto interpolation; ill posed problem; numerical differentiation;
Conference_Titel :
Computational and Information Sciences (ICCIS), 2010 International Conference on
Conference_Location :
Chengdu
Print_ISBN :
978-1-4244-8814-8
Electronic_ISBN :
978-0-7695-4270-6
DOI :
10.1109/ICCIS.2010.196
