Fast computation of a class of highly oscillatory integrals

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摘要

In this paper, the problem of numerical evaluation of a class of highly oscillatory integrals ∫abf(x)(x-a)α(b-x)β∏k=1nx-τkγkeiωxdx, where α,β<1,γk⩽1,a<τk

论文关键词:Oscillatory integrals,Singular integrals,Numerical evaluation,Analytic continuation,General Gauss–Laguerre quadrature rule

论文评审过程:Available online 8 December 2013.

论文官网地址:https://doi.org/10.1016/j.amc.2013.11.068