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.

引用

页码：201 / 220

页数：20

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