Gauss–Legendre quadrature for the evaluation of integrals involving the Hankel function
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摘要
The boundary integral method for the two dimensional Helmholtz equation requires the approximate evaluation of the integral ∫-11g(x)H0(1)(λ(x-a)2+b2)dx, 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 -1⩽a⩽1 and 0
论文关键词：41A55,65D30,65N38,Numerical integration,Boundary element method,Helmholtz’ equation,Nearly singular integrals,Nonlinear coordinate transformation,Sinh function,Hankel function
论文评审过程：Received 29 March 2006, Revised 30 October 2006, Available online 11 December 2006.
论文官网地址：https://doi.org/10.1016/j.cam.2006.11.002
