Gaussian rational quadrature formulas for ill-scaled integrands
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摘要
A flexible treatment of Gaussian quadrature formulas based on rational functions is given to evaluate the integral ∫If(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.
论文关键词：primary,41A55,secondary,41A28,65D32,Gauss rational quadrature formula,Smoothing transformation,Difficult poles,Substitution mapping,Meromorphic integrand
论文评审过程：Received 21 December 2007, Available online 25 February 2009.
论文官网地址：https://doi.org/10.1016/j.cam.2009.02.043
