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Towards approximations which preserve integrals

Mansfield, Elizabeth L. and Hydon, Peter E. (2001) Towards approximations which preserve integrals. In: Mourrain, B., ed. Proceedings of the 2001 international symposium on Symbolic and algebraic computation. ACM, New York, USA, pp. 217-222. ISBN 1-58113-417-7. (doi:10.1145/384101.384131) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:23872)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. (Contact us about this Publication)
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http://dx.doi.org/10.1145/384101.384131

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: Book section
DOI/Identification number: 10.1145/384101.384131
Subjects: Q Science > QA Mathematics (inc Computing science) > QA372 Ordinary differential equations
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User: Elizabeth Mansfield
Date Deposited: 29 Jun 2011 13:34 UTC
Last Modified: 16 Feb 2021 12:34 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/23872 (The current URI for this page, for reference purposes)
Mansfield, Elizabeth L.: https://orcid.org/0000-0002-6778-2241
Hydon, Peter E.: https://orcid.org/0000-0002-3732-4813
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