Gaussian rational quadrature formulas for ill-scaled integrands

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:233

Article; Proceedings Paper

Illan Gonzalez, J. R.

关键词: Gauss rational quadrature formula;    Smoothing transformation;    Difficult poles;    Substitution mapping;    Meromorphic integrand;   

DOI  :  10.1016/j.cam.2009.02.043

来源: Elsevier

【 摘 要 】

A flexible treatment Of Gaussian quadrature formulas based on rational functions is given to evaluate the integral integral(I)f(x)W(x)dx, when f is meromorphic in a neighborhood V of the interval I and W(x) is an ill-scaled weight function. Some numerical tests illustrate the power of this approach in comparison with Gautschi's method. (C) 2009 Elsevier B.V. All rights reserved.

【 授权许可】

Free