An adaptive variable order quadrature strategy

Houston, Paul and Wihler, Thomas P. (2015) An adaptive variable order quadrature strategy. BIT Numerical Mathematics . ISSN 0006-3835 (Submitted)

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In this article we propose a new adaptive numerical quadrature procedure which includes both local subdivision of the integration domain, as well as local variation of the number of quadrature points employed on each subinterval. In this way we aim to account for local smoothness properties of the function to be integrated as effectively as possible, and thereby achieve highly accurate results in a very efficient manner. Indeed, this idea originates from so-called hp-version finite element methods which are known to deliver high-order convergence rates, even for nonsmooth functions.

Item Type: Article
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
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Depositing User: Houston, Paul
Date Deposited: 27 Aug 2015 07:39
Last Modified: 18 Sep 2016 21:24

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