Paul Houston Paul.Houston@nottingham.ac.uk
An adaptive variable order quadrature strategy
Houston, Paul; Wihler, Thomas P.
Thomas P. Wihler email@example.com
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|
|Peer Reviewed||Peer Reviewed|
|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|
|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|
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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