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Modified Gauss rules for approximate calculation of some strongly singular integrals

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Modified Gauss rules for approximate calculation of some strongly singular integrals

Berriochoa Esnaola, Elias Manuel Maria; Cachafeiro López, María Alicia; Illán González, Jesús Ricardo; Rebollido Lorenzo, José Manuel
 
DATE : 2013-09
UNIVERSAL IDENTIFIER : http://hdl.handle.net/11093/463
UNESCO SUBJECT : 1202.02 Teoría de la Aproximación
DOCUMENT TYPE : article

ABSTRACT :

The approach we follow consists in transforming the numerical evaluation of hyper-singular integrals into the calculation of a nearly singular integral whose mass is distributed according to a positive parameter ε. To evaluate the latter we apply a Gauss quadrature formula associated with a nearly singular weight function. It is estimated the error in terms of ε. Some numerical results are presented.

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Calidad So9001