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)

[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 Campus > Faculty of Science > School of Mathematical Sciences
Related URLs:
URLURL Type
http://link.springer.com/journal/10543Publisher
Depositing User: Houston, Paul
Date Deposited: 27 Aug 2015 07:39
Last Modified: 18 Sep 2016 21:24
URI: http://eprints.nottingham.ac.uk/id/eprint/29677

Actions (Archive Staff Only)

Edit View Edit View