Convergence acceleration of the Gauss-Laguerre quadrature formula

被引：9
|
作者：
Kzaz, M
机构：
[1] Univ Cadi Ayyad, Fac Sci & Tech, Dept Math & Informat, Marrakech, Morocco
[2] Fac Sci Semlalia, Dept Math, Marrakech, Morocco
来源：
APPLIED NUMERICAL MATHEMATICS | 1999年 / 29卷 / 02期
关键词：
acceleration of convergence; asymptotic expansion; orthogonal polynomials; Gaussian quadrature;
D O I：
10.1016/S0168-9274(98)00075-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. (C) 1999 Elsevier Science B.V. and IMACS. All rights reserved.
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页码：201 / 220
页数：20
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