## Abstract In a previous work, a new Gauss quadrature was introduced with a view to evaluate multicenter integrals over Slater‐type functions efficiently. The complexity analysis of the new approach, carried out using the three‐center nuclear integral as a case study, has shown that for low‐order
Gauss–Legendre quadrature for the evaluation of integrals involving the Hankel function
✍ Scribed by David Elliott; Peter R. Johnston
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 292 KB
- Volume
- 211
- Category
- Article
- ISSN
- 0377-0427
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📜 SIMILAR VOLUMES
For analytic functions the remainder term of Gauss-Radau quadrature formulae can be represented as a contour integral with a complex kernel. We study the kernel on elliptic contours with foci at the points ±1 and a sum of semi-axes > 1 for the Chebyshev weight function of the second kind. Starting f
The advance of powerful software for symbolic and numerical computations such as Mathernatica sheds a new light on a paper by Golub and Welsch from 1969. Based on this paper the author describes a Mathernatica procedure for determining the weights and abscissae of a Gauss quadrature rule with a user