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Numerical Solution of Boole’s Rule in Numerical Integration by Using General Quadrature Formula
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Numerical Solution of Boole’s Rule in Numerical Integration by Using General Quadrature Formula

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Abstract:

We have seen that definite integrals arise in many different areas and that the fundamental theorem of calculus is a powerful tool for evaluating definite integrals. This paper describes classical quadrature method for the numerical solution of Boole’s rule in numerical integration.

Info:

Periodical:
The Bulletin of Society for Mathematical Services and Standards (Volume 2)
Pages:
1-4
DOI:
https://doi.org/10.18052/www.scipress.com/BSMaSS.2.1
Citation:
P.V. Ubale, "Numerical Solution of Boole’s Rule in Numerical Integration by Using General Quadrature Formula", The Bulletin of Society for Mathematical Services and Standards, Vol. 2, pp. 1-4, 2012
Online since:
June 2012
Authors:
P.V. Ubale
Keywords:
Boole’s Rule, Classical Quadrature Formula, Numerical Integration
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RIS, BibTeX, Text
Distribution:
Open Access

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

References:

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Kaishun Li, Peter Lumb (1985): Reliability analysis by numerical integration and curve fitting, Elsevier, vol. 3, issue1, 29-36.

Cools R (1992): A survey of methods for constructing cubature formulae in numerical integration, recent developments software and applications 1-24.

Evans M and Swartz T (1995): Methods for approximating integrals in statistics with special emphasis on Bayesian integration problems, Statistical science, 10, 254-272.

E Balagurusamy (1999): Numerical Methods Tata McGraw Hill Publishing Company Ltd.

Devi Prasad (2003): an introduction to numerical analysis third edition, Narosa Publishing House.

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Cited By:

[1] P. Gómez, H. Toftevaag, G. Meoni, "torchquad: Numerical Integration in Arbitrary Dimensions with PyTorch", Journal of Open Source Software, Vol. 6, p. 3439, 2021

DOI: https://doi.org/10.21105/joss.03439

[2] "Boole's Strategy in Multistep Block Method for Volterra Integro-Differential Equation", Malaysian Journal of Mathematical Sciences, Vol. 16, p. 237, 2022

DOI: https://doi.org/10.47836/mjms.16.2.05