Algorithms for approximating finite Hilbert transform with end-point singularities and its derivatives

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摘要

Algorithms are proposed for the numerical evaluation of Cauchy principal value integrals ⨍−11w(t)f(t)/(t−x)dt, −1

论文关键词：Quadrature rule,Hilbert transform,Principal value integral,Finite-part integral,End-point singularities of Jacobi type,Chebyshev interpolation

论文评审过程：Received 15 February 2010, Revised 12 June 2011, Available online 30 June 2011.

论文官网地址：https://doi.org/10.1016/j.cam.2011.06.027