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. | |
| Official URL: http://dx.doi.org/10.1145/384101.384131 |
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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: | Book section |
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| DOI/Identification number: | 10.1145/384101.384131 |
| Subjects: | Q Science > QA Mathematics (inc Computing science) > QA372 Ordinary differential equations |
| Institutional Unit: | Schools > School of Engineering, Mathematics and Physics > Mathematical Sciences |
| Former Institutional Unit: |
Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
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| Depositing User: | Elizabeth Mansfield |
| Date Deposited: | 29 Jun 2011 13:34 UTC |
| Last Modified: | 20 May 2025 11:34 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/23872 (The current URI for this page, for reference purposes) |
University of Kent Author Information
Mansfield, Elizabeth L..
| Creator's ORCID: |
 https://orcid.org/0000-0002-6778-2241
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| CReDIT Contributor Roles: |
Hydon, Peter E..
| Creator's ORCID: |
https://orcid.org/0000-0002-3732-4813
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| CReDIT Contributor Roles: |
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