Roberts, A. J. (2008) Computer algebra derives discretisations via self-adjoint multiscale modelling. Unpublished.
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Abstract
[Abstract]: The computer algebra routines documented here empower you to reproduce and check details described in a partner article. We consider a region of a spatial domain far from any boundaries, and derive a discrete model for the dynamics on the slow manifold on a coarse scale lattice. The approach automatically accounts for fine-grid scale interactions within and between coarse-grid elements to form a systematic approximation of the accurate closure on the coarse grid. You may straightforwardly adapt these routines to model many similar multiscale dynamical systems.
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Statistics for this ePrint Item |
| Item Type: | Other |
|---|---|
| Refereed: | No |
| Item Status: | Live Archive |
| Additional Information: | Unpublished article. |
| Depositing User: | Prof Tony Roberts |
| Faculty / Department / School: | Historic - Faculty of Sciences - Department of Maths and Computing |
| Date Deposited: | 22 Jul 2008 05:01 |
| Last Modified: | 02 Jul 2013 23:04 |
| Uncontrolled Keywords: | computer algebra, self-adjoint dynamics, multiscale modelling |
| Fields of Research : | 01 Mathematical Sciences > 0101 Pure Mathematics > 010109 Ordinary Differential Equations, Difference Equations and Dynamical Systems 01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010301 Numerical Analysis |
| URI: | http://eprints.usq.edu.au/id/eprint/4275 |
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