NDLI: An Automatic Quadrature for Cauchy Principal Value Integrals

Content Provider	Scilit
Author	Hasegawa, Takemitsu Torii, Tatsuo
Copyright Year	1991
Description	An automatic quadrature is presented for computing Cauchy principal value integrals , for smooth functions . After subtracting out the singularity, we approximate the function by a sum of Chebyshev polynomials whose coefficients are computed using the FFT. The evaluations of for a set of values of c in (a, b) are efficiently accomplished with the same number of function evaluations. Numerical examples are also given.
Related Links	https://www.ams.org/mcom/1991-56-194/S0025-5718-1991-1068816-1/S0025-5718-1991-1068816-1.pdf
Ending Page	754
Page Count	14
Starting Page	741
ISSN	00255718
e-ISSN	10886842
DOI	10.2307/2008405
Journal	Mathematics of Computation
Issue Number	194
Volume Number	56
Language	English
Publisher	Duke University Press
Publisher Date	1991-04-01
Access Restriction	Open
Subject Keyword	Mathematical Physics Chebyshev Polynomial
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Algebra and Number Theory Computational Mathematics

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An Automatic Quadrature for Cauchy Principal Value Integrals