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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
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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