An adaptive variable order quadrature strategy

Houston, Paul; Wihler, Thomas P.

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.

Citation

Houston, P., & Wihler, T. P. (in press). An adaptive variable order quadrature strategy. Lecture Notes in Computational Science and Engineering, 119, https://doi.org/10.1007/978-3-319-65870-4_38

• Journal Article Type: Article
• Acceptance Date: May 25, 2017
• Online Publication Date: Aug 22, 2017
• Deposit Date: Aug 27, 2015
• Publicly Available Date: Aug 23, 2018
• Journal: Lecture Notes in Computational Science and Engineering
• Electronic ISSN: 1439-7358
• Publisher: Springer Verlag
• Peer Reviewed: Peer Reviewed
• Volume: 119
• DOI: https://doi.org/10.1007/978-3-319-65870-4_38
• Public URL: https://nottingham-repository.worktribe.com/output/878404
• Publisher URL: https://link.springer.com/chapter/10.1007/978-3-319-65870-4_38
• Additional Information: The final publication is available at Springer via http://dx.doi.org/10.1007/978-3-319-65870-4_38