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An adaptive variable order quadrature strategy

Houston, Paul; Wihler, Thomas P.

Authors

Paul Houston Paul.Houston@nottingham.ac.uk

Thomas P. Wihler wihler@math.unibe.ch



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.

Journal Article Type Article
Journal Lecture Notes in Computational Science and Engineering
Electronic ISSN 1439-7358
Publisher Humana Press
Peer Reviewed Peer Reviewed
Volume 119
APA6 Citation Houston, P., & Wihler, T. P. (in press). An adaptive variable order quadrature strategy. Lecture Notes in Computational Science and Engineering, 119, doi:10.1007/978-3-319-65870-4_38
DOI https://doi.org/10.1007/978-3-319-65870-4_38
Publisher URL https://link.springer.com/chapter/10.1007/978-3-319-65870-4_38
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf
Additional Information The final publication is available at Springer via http://dx.doi.org/10.1007/978-3-319-65870-4_38

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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