𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Convergence acceleration of the Gauss-Laguerre quadrature formula

✍ 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.

✦ 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.


πŸ“œ SIMILAR VOLUMES


Abscissae and weights for the Gauss-Lagu
✍ Tadashi Takemasa πŸ“‚ Article πŸ“… 1988 πŸ› Elsevier Science 🌐 English βš– 650 KB

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

Convergence of Gaussian Quadrature Formu
✍ Ying Guang Shi πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 124 KB

Convergence of a general Gaussian quadrature formula is shown and its rate of convergence is also given.