A note on weighted quadrature rules

被引：0
|
作者：
Masjed-Jamei, Mohammad [1 ]
Area, Ivan [2 ]
机构：
[1] KN Toosi Univ Technol, Dept Math, POB 16315-1618, Tehran, Iran
[2] Univ Vigo, EE De Telecomun, Dept Matemat Aplicada 2, Campus Lagoas Marcosende, Vigo 36310, Spain
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2017年 / 40卷 / 17期
基金：
美国国家科学基金会;
关键词：
changing the integration basis; Gaussian quadratures; extension of Gauss-Jacobi and Gauss-Laguerre rules; classical orthogonal polynomials; CLENSHAW-CURTIS TYPE; FORMULA;
D O I：
10.1002/mma.3785
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, it is shown how to change the integration basis in some Gaussian (weighted) quadrature rules in order to obtain new quadrature models and improve classical results in the sequel. The main advantage of this approach is its simplicity, which can be implemented in any numerical integration package. Several remarkable numerical evidences are then given to show the advantage and efficiency of the proposed approach with respect to classical methods. Copyright (C) 2015 John Wiley & Sons, Ltd.
引用
收藏
页码：6103 / 6113
页数：11
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