A METHOD FOR THE NUMERICAL EVALUATION OF A HADAMARD FINITE-PART INTEGRAL

Authors
MOHANKUMAR N NATARAJAN A
Citation
N. Mohankumar et A. Natarajan, A METHOD FOR THE NUMERICAL EVALUATION OF A HADAMARD FINITE-PART INTEGRAL, Computer physics communications, 105(2-3), 1997, pp. 187-196
Citations number
15
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical","Computer Science Interdisciplinary Applications
Journal title
Computer physics communications → ACNP
ISSN journal
00104655
Volume
105
Issue
2-3
Year of publication
1997
Pages
187 - 196
Database
ISI
SICI code
0010-4655(1997)105:2-3<187:AMFTNE>2.0.ZU;2-Q
Abstract
An accurate numerical method for the evaluation of a particular Hadama rd finite part integral using the IMT quadrature is indicated. The pro posed method exploits a standard relation between the Cauchy principal value integral and the Hadamard finite part integral. The paper also provides an asymptotic estimate of the discretization error, starting from a contour integral representation of the error term. (C) 1997 Els evier Science B.V.