Geodesic
A method of computing nodes and weights of the Gauss--Christoffel quadratures
Matematičeskoe modelirovanie, Tome 25 (2013) no. 3, pp. 3-13

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In this paper we propose a new efficient numerical method for determining the nodes and weights for quadrature formulas of Gauss, which is adapted to calculate the integrals with rapidly oscillating integrand. In particular, the application, the method used for the integrals of the kinetic theory of gases.
Mots-clés : orthogonal polynomials, Gaussian quadrature
Keywords: the nodes and weights, the existence and uniqueness, iterative process, a rapidly oscillating integrand. 
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     author = {I. V. Anisimova and R. R. Ginijatullina and V. N. Ignatiev},
     title = {A method of computing nodes and weights of the {Gauss--Christoffel} quadratures},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {3--13},
     publisher = {mathdoc},
     volume = {25},
     number = {3},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2013_25_3_a0/}
}
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I. V. Anisimova; R. R. Ginijatullina; V. N. Ignatiev. A method of computing nodes and weights of the Gauss--Christoffel quadratures. Matematičeskoe modelirovanie, Tome 25 (2013) no. 3, pp. 3-13. http://geodesic.mathdoc.fr/item/MM_2013_25_3_a0/