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 . ISSN 1439-7358 (In Press)

[img] PDF - Repository staff only until 24 August 2018. - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
Download (419kB)
[img] PDF - Repository staff only - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
Download (546kB)

Abstract

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
Related URLs:
Depositing User: Houston, Paul
Date Deposited: 27 Aug 2015 07:39
Last Modified: 18 Nov 2017 19:56
URI: http://eprints.nottingham.ac.uk/id/eprint/29677

Actions (Archive Staff Only)

Edit View Edit View