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3 Algorithms for Hadamard finite-part integrals and fractional derivatives

Citation

Elliott, D, 3 Algorithms for Hadamard finite-part integrals and fractional derivatives, Journal of Computational and Applied Mathematics, 62, (3) pp. 267-283. ISSN 0377-0427 (1995) [Refereed Article]

DOI: doi:10.1016/0377-0427(94)00113-5

Abstract

Three algorithms for the evaluation of the Hadamard finite-part integral of the form ∫1 -1( f(t) (1-t)1+α), where α is a positive non-integer, are described. One algorithm is based on a knowledge of the Chebyshev series expansion of f on [-1, 1], the other two on polynomial interpolations to f at the zeros of TN, the Chebyshev polynomial of the first kind. Convergence theorems are given for each algorithm, and each algorithm is demonstrated numerically. © 1995.

Item Details

Item Type:Refereed Article
Research Division:Mathematical Sciences
Research Group:Numerical and Computational Mathematics
Research Field:Numerical Analysis
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Mathematical Sciences
Author:Elliott, D (Professor David Elliott)
ID Code:4163
Year Published:1995
Web of Science® Times Cited:7
Deposited By:Mathematics
Deposited On:1995-08-01
Last Modified:2011-08-22
Downloads:0

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