Gauss-Legendre quadrature for the evaluation of integrals involving the Hankel function

Elliott, David; Johnston, PR

Gauss-Legendre quadrature for the evaluation of integrals involving the Hankel function

journal contribution

posted on 2023-05-16, 21:29 authored by David 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

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The definitive version is available at http://www.sciencedirect.com

Repository Status

Restricted

Socio-economic Objectives

Expanding knowledge in the mathematical sciences

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Keywords

Numerical integration Boundary element method Helmholtz’ equation Nearly singular integrals Nonlinear coordinate transformation Sinh function Hankel function

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Gauss-Legendre quadrature for the evaluation of integrals involving the Hankel function

History

Publication title

Volume

Pagination

ISSN

Department/School

Publisher

Place of publication

Rights statement

Repository Status

Socio-economic Objectives

Usage metrics

Categories

Keywords

Licence

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