Modified Gauss rules for approximate calculation of some strongly singular integrals

doi:10.1016/j.endm.2013.07.060

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

EDITED VERSION: http://linkinghub.elsevier.com/retrieve/pii/S1571065313002126

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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