Gauss-Legendre quadrature for the evaluation of integrals involving the Hankel function
journal contribution
posted on 2023-05-16, 21:29authored byDavid Elliott, Johnston, PR
The boundary integral method for the two dimensional Helmholtz equation requires the approximate evaluation of the integral , where g is a polynomial. In particular, Gauss–Legendre quadrature is considered when the source point is close to the interval of integration; that is -1a1 and 0
History
Publication title
Journal of Computational and Applied Mathematics
Volume
211
Pagination
23-35
ISSN
0377-0427
Department/School
School of Natural Sciences
Publisher
Elsevier Science BV
Place of publication
Amsterdam, Netherlands
Rights statement
The definitive version is available at http://www.sciencedirect.com