Gaussian rational quadrature formulas for ill-scaled integrands

Illán González, Jesús RicardoAutor UVIGO
DATE: 2009-12
UNIVERSAL IDENTIFIER: http://hdl.handle.net/11093/458
EDITED VERSION: http://dx.doi.org/10.1016/j.cam.2009.02.043
UNESCO SUBJECT: 1202.02 Teoría de la Aproximación
DOCUMENT TYPE: article

ABSTRACT

A flexible treatment of Gaussian quadrature formulas based on rational functions is given to evaluate the integral , 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.
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