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BSMaSS > BSMaSS Volume 2 > A Mixed Quadrature Rule by Blending...
A Mixed Quadrature Rule by Blending Clenshaw-Curtis and Gauss-Legendre Quadrature Rules for Approximate Evaluation of Real Definite Integrals
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A Mixed Quadrature Rule by Blending Clenshaw-Curtis and Gauss-Legendre Quadrature Rules for Approximate Evaluation of Real Definite Integrals

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Abstract:

A mixed quadrature rule blending Clenshaw-Curtis five point rule and Gauss-Legendre three point rule is formed. The mixed rule has been tested and found to be more effective than that of its constituent Clenshaw-Curtis five point rule.

Info:

Periodical:
The Bulletin of Society for Mathematical Services and Standards (Volume 2)
Pages:
10-15
DOI:
https://doi.org/10.18052/www.scipress.com/BSMaSS.2.10
Citation:
A. Pati et al., "A Mixed Quadrature Rule by Blending Clenshaw-Curtis and Gauss-Legendre Quadrature Rules for Approximate Evaluation of Real Definite Integrals", The Bulletin of Society for Mathematical Services and Standards, Vol. 2, pp. 10-15, 2012
Online since:
June 2012
Authors:
Anasuya Pati, Rajani B. Dash, Pritikanta Patra
Keywords:
Clenshaw-Curtis Quadrature Rule [RCC5(f)], Gauss-Legendre 3-Point Rule [RGL3(f)], Mixed Quadrature Quadrature Rule [RCC5GL3(f)]
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Distribution:
Open Access

Creative Commons License
This work is licensed under a
Creative Commons Attribution 4.0 International License

References:

R.N. Das and G. Pradhan, A mixed quadrature rule for approximate evaluation of real definite integrals, Int. J. Math. Educ. Sci. Technol, 1996, Vol. 27, No. 2, 279-283.

R.N. Das and G. Pradhan, A mixed quadrature rule for numerical integration of analytic functions, Bulletin, Cal. Math. Soc., 89: 37-42.

R.B. Dash and S.K. Mohanty, A mixed quadrature rule for numerical integration of analytic functions, Bulletin, Pure and Applied Sciences, Vol. 27E (No. 2) 2008, pp.369-372.

J. Oliver (1971), A doubly adaptive Clenshaw-Curtis quadrature method, Computing Centre, University of Essex, Wivenhoepark, Colchester, Essex.

Kendall E. Atkinsion, An introduction to numerical analysis, 2nd ed. (John Wiley), (2001).

Conte S. and C. de Boor, 'Elementary numerical analysis (McGraw Hill), (1980).

Erwin Kreyszig, Advanced engineering mathematics, 8th ed. (John Wiley), (2005).

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