Construction of a Mixed Quadrature Rule using Three Different Well-Known Quadrature Rules
Gauss-Legendre quadrature rule, Lobatto quadrature rule, Clenshaw-Curtis quadrature rule, mixed quadrature rule
Abstract
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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References
S Conte, Carl De Boor (1980) Elementary Numerical Analysis.
Kendal Atkinson (2001) An Introduction to numerical analysis.
R Das, G Pradhan (1996) A mixed quadrature rule for approximate evaluation of real definite integrals. 27(2), 279-283.
J Oliver (1971) A doubly-adaptive Clenshaw-Curtis quadrature method. 15(2), 141-147.
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2014-05-03
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