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Gaussian rational quadrature formulas for ill-scaled integrands

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Gaussian rational quadrature formulas for ill-scaled integrands

Illán González, Jesús Ricardo
 
DATE : 2009-12
UNIVERSAL IDENTIFIER : http://hdl.handle.net/11093/458
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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