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On the approximate evaluation of Hadamard finite-part integrals
journal contribution
posted on 2023-05-17, 23:51 authored by Robert DelbourgoRobert Delbourgo, David ElliottDavid ElliottGrunwald'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.
History
Publication title
IMA Journal of Numerical AnalysisVolume
14Issue
4Pagination
485-500ISSN
0272-4979Department/School
School of Natural SciencesPublisher
Oxford University PressPlace of publication
Oxford, UKRepository Status
- Restricted