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Towards approximations which preserve integrals

Mansfield, E. L. and Hydon, Peter E. (2001) Towards approximations which preserve integrals Proceedings of the 2001 International Symposium on Symbolic and Algebraic Computation. pp. 217-222.

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Abstract

We investigate the algorithmic approximation of ordinary differential equations having a known conservation law, with finite difference schemes which inherit a discrete version of the conservation law. We use the method of moving frames on a multispace due to Olver. We assume that the system of ODEs to be studied has a variational principle and that the conservation law arises from a variational symmetry via Noether's theorem.

Item Type: Article
Additional Information: © ACM, 2001. This is the author's version of the work. It is posted here by permission of ACM for your personal use. Not for redistribution. The definitive version was published in Proceedings of the 2001 International Symposium on Symbolic and Algebraic Computation, 217-222. Click http://doi.acm.org/10.1145/384101.384131 to access the published version.
Uncontrolled Keywords: Approximation, Moving frames, Symmetry, Variational principles
Divisions: Faculty of Engineering and Physical Sciences > Mathematics
Depositing User: Mr Adam Field
Date Deposited: 27 May 2010 14:40
Last Modified: 23 Sep 2013 18:32
URI: http://epubs.surrey.ac.uk/id/eprint/1400

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