An adaptive variable order quadrature strategy

Houston, Paul and Wihler, Thomas P. (2017) An adaptive variable order quadrature strategy. Lecture Notes in Computational Science and Engineering, 119 . pp. 533-545. ISSN 1439-7358

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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
Additional Information: The final publication is available at Springer via
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: 04 May 2020 19:01

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