A corrected quadrature formula and applications

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dc.contributor.authorUjevic, N.
dc.contributor.authorRoberts, A.
dc.date.issued2004
dc.description.abstractA straightforward three-point quadrature formula of closed type is derived that improves on Simpson’s rule. Just using the additional information of the integrand’s derivative at the two endpoints we show the error is sixth order in grid spacing. Various error bounds for the quadrature formula are obtained to quantify more precisely the errors. Applications in numerical integration are given. With these error bounds, which are generally better than the usual Peano bounds, the composite formulas can be applied to integrands with lower order derivatives.
dc.description.statementofresponsibilityNenad Ujevic and A.J. Roberts
dc.identifier.citationAustralia and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal, 2004; 45:E41-E56
dc.identifier.issn1446-1811
dc.identifier.orcidRoberts, A. [0000-0001-8930-1552]
dc.identifier.urihttp://hdl.handle.net/2440/57680
dc.language.isoen
dc.publisherAustralian Mathematical Society
dc.source.urihttp://anziamj.austms.org.au/ojs/index.php/ANZIAMJ/article/view/499/369
dc.titleA corrected quadrature formula and applications
dc.typeJournal article
pubs.publication-statusPublished

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