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Algorithm 424: Clenshaw-Curtis quadrature [D1]
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Communications of the ACM archive
Volume 15 ,  Issue 5  (May 1972) table of contents
Pages: 353 - 355  
Year of Publication: 1972
ISSN:0001-0782
Author
W. Morven Gentleman  Univ. of Waterloo, Waterloo, Ont., Canada
Publisher
ACM  New York, NY, USA
Bibliometrics
Downloads (6 Weeks): 5,   Downloads (12 Months): 37,   Citation Count: 5
Additional Information:

abstract   references   cited by   collaborative colleagues  

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ABSTRACT

Clenshaw-Curtis quadrature is one of the most effective automatic quadrature schemes available, particularly for integrands with some continuous derivatives. It can also be used for any piecewise continuous integrand, although it is not recommended for integrands with discontinuities.


REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

1
W. Morven Gentleman, Implementing Clenshaw-Curtis quadrature, I methodology and experience, Communications of the ACM, v.15 n.5, p.337-342, May 1972  [doi>10.1145/355602.361310]
2
W. Morven Gentleman, Implementing Clenshaw-Curtis quadrature, II computing the cosine transformation, Communications of the ACM, v.15 n.5, p.343-346, May 1972  [doi>10.1145/355602.361311]
 
3
Gentleman, W.M., and Sande, G. Fast Fourier transforms--for fun and profit. Proc. AFIPS 1966 FJCC, Vol. 29, Spartan Books, New York, pp. 563-578.
4
F. R. A. Hopgood , C. Litherland, Algorithm 279: Chebyshev quadrature, Communications of the ACM, v.9 n.4, p.270, April 1966  [doi>10.1145/365278.365508]

CITED BY  5
K. O. Geddes, Numerical integration in a symbolic context, Proceedings of the fifth ACM symposium on Symbolic and algebraic computation, p.185-191, July 21-23, 1986, Waterloo, Ontario, Canada
K. O. Geddes , G. J. Fee, Hybrid symbolic-numeric integration in MAPLE, Papers from the international symposium on Symbolic and algebraic computation, p.36-41, July 27-29, 1992, Berkeley, California, United States
W. Morven Gentleman, Implementing Clenshaw-Curtis quadrature, I methodology and experience, Communications of the ACM, v.15 n.5, p.337-342, May 1972
Paola Favati , Grazia Lotti , Francesco Romani, Algorithm 691; Improving QUADPACK automatic integration routines, ACM Transactions on Mathematical Software (TOMS), v.17 n.2, p.218-232, June 1991
W. Morven Gentleman, Implementing Clenshaw-Curtis quadrature, II computing the cosine transformation, Communications of the ACM, v.15 n.5, p.343-346, May 1972
Collaborative Colleagues:
W. Morven Gentleman: colleagues

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