An adaptive variable order quadrature strategy

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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

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Official URL: https://link.springer.com/chapter/10.1007/978-3-319-65870-4_38

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

RIS ID:

https://nottingham-repository.worktribe.com/output/878404

Additional Information:

The final publication is available at Springer via http://dx.doi.org/10.1007/978-3-319-65870-4_38

Schools/Departments:

University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences

Identification Number:

https://doi.org/10.1007/978-3-319-65870-4_38

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