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On the approximate evaluation of Hadamard finite-part integrals


Delbourgo, R and Elliott, D, On the approximate evaluation of Hadamard finite-part integrals, IMA Journal of Numerical Analysis, 14, (4) pp. 485-500. ISSN 0272-4979 (1994) [Refereed Article]

DOI: doi:10.1093/imanum/14.4.485


Grunwald's algorithms for the numerical evaluation of Hadamard finite-part integrals with non-integer exponent are extended to the case of integer exponent. These algorithms are based on the use of Bernstein polynomials and it is shown how, by an appropriate modification of the first algorithm, a convergence rate of order 1/N 2 may be obtained, where N is the number of function evaluations.

Item Details

Item Type:Refereed Article
Research Division:Physical Sciences
Research Group:Particle and high energy physics
Research Field:Particle physics
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the physical sciences
UTAS Author:Delbourgo, R (Professor Robert Delbourgo)
UTAS Author:Elliott, D (Professor David Elliott)
ID Code:90680
Year Published:1994
Web of Science® Times Cited:8
Deposited By:Mathematics and Physics
Deposited On:2014-04-16
Last Modified:2014-04-16

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