An adaptive variable order quadrature strategy
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 f...
| Main Authors: | , |
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| Format: | Article |
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Springer
2017
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| Online Access: | https://eprints.nottingham.ac.uk/29677/ |
| _version_ | 1848793829427118080 |
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| author | Houston, Paul Wihler, Thomas P. |
| author_facet | Houston, Paul Wihler, Thomas P. |
| author_sort | Houston, Paul |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T19:06:31Z |
| format | Article |
| id | nottingham-29677 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:06:31Z |
| publishDate | 2017 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-296772020-05-04T19:01:24Z https://eprints.nottingham.ac.uk/29677/ An adaptive variable order quadrature strategy Houston, Paul Wihler, Thomas P. 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. Springer 2017-08-22 Article PeerReviewed Houston, Paul and Wihler, Thomas P. (2017) An adaptive variable order quadrature strategy. Lecture Notes in Computational Science and Engineering, 119 . pp. 533-545. ISSN 1439-7358 https://link.springer.com/chapter/10.1007/978-3-319-65870-4_38 doi:10.1007/978-3-319-65870-4_38 doi:10.1007/978-3-319-65870-4_38 |
| spellingShingle | Houston, Paul Wihler, Thomas P. An adaptive variable order quadrature strategy |
| title | An adaptive variable order quadrature strategy |
| title_full | An adaptive variable order quadrature strategy |
| title_fullStr | An adaptive variable order quadrature strategy |
| title_full_unstemmed | An adaptive variable order quadrature strategy |
| title_short | An adaptive variable order quadrature strategy |
| title_sort | adaptive variable order quadrature strategy |
| url | https://eprints.nottingham.ac.uk/29677/ https://eprints.nottingham.ac.uk/29677/ https://eprints.nottingham.ac.uk/29677/ |