Gaussian rational quadrature formulas for ill-scaled integrands

[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.

[发布日期] 2009-12-01

[效力级别]  Proceedings Paper

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