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On Fast and Stable Implementation of Clenshaw-Curtis and Fejér-Type Quadrature Rules
Joint Authors
Xiang, Shuhuang
He, Guo
Wang, Haiyong
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-26
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
Based upon the fast computation of the coefficients of the interpolation polynomials at Chebyshev-type points by FFT, together with the efficient evaluation of the modified moments by forward recursions or by Oliver’s algorithms, this paper presents fast and stable interpolating integration algorithms, by using the coefficients and modified moments, for Clenshaw-Curtis, Fejér’s first- and second-type rules for Jacobi weights or Jacobi weights multiplied by a logarithmic function.
Numerical examples illustrate the stability, efficiency, and accuracy of these quadratures.
American Psychological Association (APA)
Xiang, Shuhuang& He, Guo& Wang, Haiyong. 2014. On Fast and Stable Implementation of Clenshaw-Curtis and Fejér-Type Quadrature Rules. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1013932
Modern Language Association (MLA)
Xiang, Shuhuang…[et al.]. On Fast and Stable Implementation of Clenshaw-Curtis and Fejér-Type Quadrature Rules. Abstract and Applied Analysis No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-1013932
American Medical Association (AMA)
Xiang, Shuhuang& He, Guo& Wang, Haiyong. On Fast and Stable Implementation of Clenshaw-Curtis and Fejér-Type Quadrature Rules. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1013932
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013932