A program is described which calculates the abscissae and weights for the Gauss-Laguerre quadrature formula for integrals of the form fαΊ½~x'f(x)dx very rapidly and with high accuracy even in the case of many abscissae. The abscissae are given by the zeros of the Laguerre polynomials, which are found
β¦ LIBER β¦
Convergence acceleration of the Gauss-Laguerre quadrature formula
β Scribed by M. Kzaz
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 730 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0168-9274
No coin nor oath required. For personal study only.
β¦ Synopsis
Asymptotic expansions have been obtained for the error of the Gauss-Laguerre quadrature formula for a large class of analytic integrands. Then, a theorem of convergence acceleration is given. Numerical examples are also given.
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