A corrected quadrature formula and applications

Ujevic, Nenad and Roberts, A. J. (2004) A corrected quadrature formula and applications. Australian and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal, 45 (E). E41-E56. ISSN 1446-1811

Full text not available from this repository.


[Abstract]: A 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.

Statistics for USQ ePrint 2986
Statistics for this ePrint Item
Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: See the publisher website for access to full-text: http://anziamj.austms.org.au/V45/E051/Nenad.pdf
Faculty / Department / School: Historic - Faculty of Sciences - Department of Maths and Computing
Date Deposited: 11 Oct 2007 01:18
Last Modified: 18 Mar 2019 00:17
Uncontrolled Keywords: quadrature formula
Fields of Research : 01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010302 Numerical Solution of Differential and Integral Equations
URI: http://eprints.usq.edu.au/id/eprint/2986

Actions (login required)

View Item Archive Repository Staff Only