Construction of a Mixed Quadrature Rule using Three Different Well-Known Quadrature Rules

1
Debasish Das
Debasish Das
2
Rajani B. Dash
Rajani B. Dash
3
Parthasarathi Das
Parthasarathi Das
1 Ravenshaw University

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This paper deals with construction of a mixed quadrature rule of precision nine by using Gauss-Legendre 3-point rule, Lobatto 4-point rule and Clenshaw-Curtis 5-point rule, each having precision five. This mixed rule is successfully tested on different real definite integrals.

4 Cites in Articles

References

  1. S Conte,Carl De Boor (1980). Elementary Numerical Analysis.
  2. Kendal Atkinson (2001). An Introduction to numerical analysis.
  3. R Das,G Pradhan (1996). A mixed quadrature rule for approximate evaluation of real definite integrals.
  4. J Oliver (1971). A doubly-adaptive Clenshaw-Curtis quadrature method.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

Debasish Das. 2014. \u201cConstruction of a Mixed Quadrature Rule using Three Different Well-Known Quadrature Rules\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 14 (GJSFR Volume 14 Issue F1): .

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Issue Cover
GJSFR Volume 14 Issue F1
Pg. 107- 122
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Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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v1.2

Issue date

May 3, 2014

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English

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This paper deals with construction of a mixed quadrature rule of precision nine by using Gauss-Legendre 3-point rule, Lobatto 4-point rule and Clenshaw-Curtis 5-point rule, each having precision five. This mixed rule is successfully tested on different real definite integrals.

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Construction of a Mixed Quadrature Rule using Three Different Well-Known Quadrature Rules

Debasish Das
Debasish Das Ravenshaw University
Rajani B. Dash
Rajani B. Dash
Parthasarathi Das
Parthasarathi Das

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