Some new thoughts on Gauss-Laguerre quadrature

被引：7

作者：

Evans, GA ^{[1
]}

机构：

[1] De Montfort Univ, Fac Comp Sci & Engn, Dept Comp Studies, Leicester LE1 9BH, Leics, England

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2005年 / 82卷 / 06期

关键词：

infinite range quadrature; Gauss-Laguerre; non-exponentially decreasing integrands;

D O I：

10.1080/00207160512331323399

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Gauss-Laguerre quadrature is notoriously poor for integrating non-exponentially decreasing infinite-range integrals. A method is proposed based on the non-standard basis set 1/x(i) and this is implemented for the weight functions 1.0, log x and sin x. A series of tests demonstrate the effectiveness of the approach, and an algorithm is presented to achieve convergence to a specified accuracy.

引用

页码：721 / 730

页数：10

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