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

Citation

Elliott, D and Johnston, PR, Gauss-Legendre quadrature for the evaluation of integrals involving the Hankel function, Journal of Computational and Applied Mathematics, 211, (1) pp. 23-35. ISSN 0377-0427 (2008) [Refereed Article]


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DOI: doi:10.1016/j.cam.2006.11.002

Abstract

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

Item Details

Item Type:Refereed Article
Keywords:Numerical integration; Boundary element method; Helmholtz’ equation; Nearly singular integrals; Nonlinear coordinate transformation; Sinh function; Hankel function
Research Division:Mathematical Sciences
Research Group:Numerical and Computational Mathematics
Research Field:Numerical Solution of Differential and Integral Equations
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Mathematical Sciences
Author:Elliott, D (Professor David Elliott)
ID Code:51529
Year Published:2008
Web of Science® Times Cited:6
Deposited By:Mathematics
Deposited On:2008-04-02
Last Modified:2012-03-05
Downloads:2 View Download Statistics

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