Title :
Numerical Approximation to the n-th Derivatives
Author :
Jiang, Yong ; Dai, Yu ; Li, Yumei
Author_Institution :
Dept. of Inf. & Comput., Nanjing Univ. of Inf. Sci. & Technol., Nanjing, China
Abstract :
Continuing the work of, this paper considers mainly the approximation to the n-th derivatives of functions, and develops an effective algorithm with its convergence and error estimate by the method of numerical integration. As an application, the algorithm is used to evaluate the integration of highly oscillatory functions and proves efficient.
Keywords :
approximation theory; convergence of numerical methods; integration; convergence; error estimate; n-th derivatives; numerical approximation; numerical integration; oscillatory functions; Acceleration; Algorithm design and analysis; Approximation algorithms; Approximation methods; Convergence; Error analysis; Transforms; algorithm; error estimation; numerical approximation;
Conference_Titel :
Information and Computing (ICIC), 2011 Fourth International Conference on
Conference_Location :
Phuket Island
Print_ISBN :
978-1-61284-688-0
DOI :
10.1109/ICIC.2011.82
