Title :
Reconstruction of Derivatives by a Truncated Chebyshev Spectral Method
Author :
Zhao, Zhenyu ; Liu, Junfeng ; Qi, Jiejing
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 truncated Chebyshev spectral method has been introduced to deal with the ill-posedness of the problem. The numerical results shows that the method is very effective.
Keywords :
Chebyshev approximation; differentiation; derivative reconstruction; numerical differentiation problem; truncated Chebyshev spectral method; Chebyshev approximation; Computational intelligence; Convergence; Educational institutions; Image reconstruction; Integral equations; Inverse problems; Military computing; Oceans; Polynomials; ill-posed problem; numerical differentiation; spectral method;
Conference_Titel :
Computational Intelligence and Natural Computing, 2009. CINC '09. International Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-0-7695-3645-3
DOI :
10.1109/CINC.2009.87
