Mathematica 9 is now available

Wolfram Library Archive


Courseware Demos MathSource Technical Notes
All Collections Articles Books Conference Proceedings
Title

Gaussian quadrature rule for arbitrary weight function and interval
Authors

H. Fukuda
Organization: University of Shizuoka
Department: School of Administration and Informatics
M. Katuya
Organization: University of Shizuoka
Department: School of Administration and Informatics
E. O. Alt
Organization: Universität Mainz
Department: Institut für Physik
A. V. Matveenko
Organization: Joint Institute for Nuclear Research
Department: Bogoliubov Laboratory of Theoretical Physics
Journal / Anthology

Computer Physics Communications
Year: 2005
Volume: 167
Issue: 2
Page range: 143-150
Description

A program for calculating abscissas and weights of Gaussian quadrature rules for arbitrary weight functions and intervals is reported. The program is written in Mathematica. The only requirement is that the moments of the weight function can be evaluated analytically in Mathematica. The result is a FORTRAN subroutine ready to be utilized for quadrature.
Subjects

*Mathematica Technology > Application Packages > Applications from Independent Developers
*Mathematics > Algebra > Polynomials
Keywords

FORTRAN, Quadrature
URL

http://cpc.cs.qub.ac.uk/summaries/ADVB