Some new applications of truncated Gauss-Laguerre quadrature formulas

被引：18

作者：

Mastroianni, G. ^{[2
]}

Monegato, G. ^{[1
]}

机构：

[1] Politecn Turin, Dipartimento Matemat, Turin, Italy

[2] Univ Basilicata, Dipartimento Matemat, I-85100 Potenza, Italy

来源：

NUMERICAL ALGORITHMS | 2008年 / 49卷 / 1-4期

关键词：

Gauss-Laguerre quadrature rules; Integral equations; Nystrom methods;

D O I：

10.1007/s11075-008-9191-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show how truncated Gauss-Laguerre quadrature formulas can be used to produce accurate approximations and high rates of convergence, also when they are applied to integrand functions having only an algebraic type decay to zero at infinity. The approach presented in the paper is proposed for the computation of integrals and for the construction of Nystrom type interpolants for some second kind integral equations.

引用

页码：283 / 297

页数：15

共 11 条

[1]

[Anonymous], 1975, AM MATH SOC C PUBLIC

[2]

DAVIS PJ, 1984, METHODS NUMERICAL IN

[3] Some new thoughts on Gauss-Laguerre quadrature [J].