Computer algebra derives discretisations via self-adjoint multiscale modelling

Roberts, A. J. (2008) Computer algebra derives discretisations via self-adjoint multiscale modelling. Unpublished. (Unpublished)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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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Additional Information: Unpublished article.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 (FOR2008): 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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