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International Journal of Mathematical Education in Science and Technology Volume 42, 2011 - Issue 4
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Composite Gauss–Legendre quadrature with error control

J.S.C. Prentice Department of Applied Mathematics, University of Johannesburg, Johannesburg, South AfricaCorrespondence[email protected]
Pages 557-564 | Received 13 Jul 2010, Published online: 23 Feb 2011
 
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Abstract

We describe composite Gauss–Legendre quadrature for determining definite integrals, including a means of controlling the approximation error. We compare the form and performance of the algorithm with standard Newton–Cotes quadrature.

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Composite Gauss–Legendre quadrature with error control

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