On the Gaussian quadrature rule for finite-part integrals with a first-order singularity

✍ Scribed by Ioakimidis, N. I.

Publisher: Wiley (John Wiley & Sons)
Year: 1986
Tongue: English
Weight: 504 KB
Volume: 2
Category: Article
ISSN: 0748-8025
DOI: 10.1002/cnm.1630020202

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This paper is concerned with a Chebyshev quadrature rule for approximating one sided finite part integrals with smooth density functions. Our quadrature rule is based on the Chebyshev interpolation polynomial with the zeros of the Chebyshev polynomial T N+1 ({)&T N&1 (t). We analyze the stability an