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

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 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
Creator:	Elliott, D (Professor David Elliott)
ID Code:	51529
Year Published:	2008
Web of Science^® Times Cited:	4
Deposited By:	Mathematics
Deposited On:	2008-04-02
Last Modified:	2012-03-05
Downloads:	2 View Download Statistics

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