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On Computing the Points and Weights for Gauss--Legendre Quadrature

โœ Scribed by Swarztrauber, Paul N.


Book ID
118188826
Publisher
Society for Industrial and Applied Mathematics
Year
2003
Tongue
English
Weight
137 KB
Volume
24
Category
Article
ISSN
1064-8275

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Abscissae and weights for the Gauss-Lagu
โœ Tadashi Takemasa ๐Ÿ“‚ Article ๐Ÿ“… 1988 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 650 KB

A program is described which calculates the abscissae and weights for the Gauss-Laguerre quadrature formula for integrals of the form fแบฝ~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