Approximating Cauchy-type singular integral by an automatic quadrature scheme

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摘要

An automatic quadrature scheme is developed for the approximate evaluation of the product-type indefinite integral Q(f,x,y,c)=∫xyρ(t)K(t,c)f(t)dt,−1≤x,y≤1,−1

论文关键词:65D32,45E05,65R20,An automatic quadrature scheme,Product integral,Singular integral,Clenshaw–Curtis rules,Chebyshev polynomials,Indefinite integral,Recurrence relation

论文评审过程:Author links open overlay panelZ.K.EshkuvatovabPersonEnvelopeA.AhmedovbcN.M.A.Nik LongabN.J.Amalinaa

论文官网地址:https://doi.org/10.1016/j.cam.2010.08.001