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Volumn 46, Issue 1, 2006, Pages 195-202

Fast construction of the Fejér and Clenshaw-Curtis quadrature rules

Author keywords

Clenshaw Curtis quadrature; Discrete Fourier transform; Fej r's quadrature rules; Numerical quadrature

Indexed keywords


EID: 33645037515     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10543-006-0045-4     Document Type: Article
Times cited : (125)

References (14)
  • 3
    • 0023565848 scopus 로고
    • Algorithm 655 - IQPACK: FORTRAN subroutines for the weights of interpolatory quadratures
    • S. Elhay and J. Kautsky, Algorithm 655 - IQPACK: FORTRAN subroutines for the weights of interpolatory quadratures, ACM Trans. Math. Softw., 13 (1987), pp. 399-415.
    • (1987) ACM Trans. Math. Softw. , vol.13 , pp. 399-415
    • Elhay, S.1    Kautsky, J.2
  • 4
    • 0000230775 scopus 로고
    • Mechanische quadraturen mit positiven cotesschen zahlen
    • L. Fejér, Mechanische Quadraturen mit positiven Cotesschen Zahlen, Math. Z., 37 (1933), pp. 287-309.
    • (1933) Math. Z. , vol.37 , pp. 287-309
    • Fejér, L.1
  • 5
    • 0003805382 scopus 로고
    • Numerical quadrature in the presence of a singularity
    • W. Gautschi, Numerical quadrature in the presence of a singularity, SIAM J. Numer. Anal., 4 (1967), pp. 357-362.
    • (1967) SIAM J. Numer. Anal. , vol.4 , pp. 357-362
    • Gautschi, W.1
  • 6
    • 84976715209 scopus 로고
    • Implementing Clenshaui-Curtis quadrature
    • W. M. Gentleman, Implementing Clenshaui-Curtis quadrature, Commun. ACM, 15 (1972), pp. 337-346.
    • (1972) Commun. ACM , vol.15 , pp. 337-346
    • Gentleman, W.M.1
  • 7
    • 33645027940 scopus 로고    scopus 로고
    • Algorithm 424 (Fortran code)
    • Algorithm 424 (Fortran code), Commun. ACM ibid., pp. 353-355.
    • Commun. ACM , pp. 353-355
  • 8
    • 0001300342 scopus 로고
    • Calculation of the weights of interpolatory quadratures
    • J. Kautsky and S. Elhay, Calculation of the weights of interpolatory quadratures, Numer. Math., 40 (1982), pp. 407-422.
    • (1982) Numer. Math. , vol.40 , pp. 407-422
    • Kautsky, J.1    Elhay, S.2
  • 10
    • 84968498665 scopus 로고
    • The optimum addition of points to quadrature formulae
    • Errata, Math. Comput., 23 (1969), p. 892
    • T. N. L. Patterson, The optimum addition of points to quadrature formulae, Math. Comput., 22 (1968), pp. 847-856. Errata, Math. Comput., 23 (1969), p. 892.
    • (1968) Math. Comput. , vol.22 , pp. 847-856
    • Patterson, T.N.L.1
  • 11
    • 0034405305 scopus 로고    scopus 로고
    • On the Smolyak cubature error for analytic functions
    • K. Petras, On the Smolyak cubature error for analytic functions, Adv. Comput. Math., 12 (2000), pp. 71-93.
    • (2000) Adv. Comput. Math. , vol.12 , pp. 71-93
    • Petras, K.1
  • 12
    • 0242389714 scopus 로고    scopus 로고
    • Smolyak cubature of given polynomial degree with few nodes for increasing dimension
    • K. Petras, Smolyak cubature of given polynomial degree with few nodes for increasing dimension, Numer. Math., 93 (2003), pp. 729-753.
    • (2003) Numer. Math. , vol.93 , pp. 729-753
    • Petras, K.1
  • 13
    • 0001048297 scopus 로고
    • Quadrature and interpolation formulas for tensor products of certain classes of functions
    • S. A. Smolyak, Quadrature and interpolation formulas for tensor products of certain classes of functions, Sov. Math. Dokl., 4 (1963), pp. 240-243.
    • (1963) Sov. Math. Dokl. , vol.4 , pp. 240-243
    • Smolyak, S.A.1
  • 14
    • 33645030608 scopus 로고    scopus 로고
    • Fast clenshaw-curtis quadrature
    • Feb.
    • G. von Winckel, Fast Clenshaw-Curtis Quadrature, The Mathworks Central File Exchange, Feb. 2005. URL http://www.mathworks.com/matlabcentral/files/6911/ clencurt.m
    • (2005) The Mathworks Central File Exchange
    • Von Winckel, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.