Computer algebra derives discretisations via self-adjoint multiscale modelling

Roberts, A. J. (2008) Computer algebra derives discretisations via self-adjoint multiscale modelling. Unpublihsed. pp. 1-30.

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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:	Article (Commonwealth Reporting Category C)
Refereed:	No
Item Status:	Live Archive
Additional Information:	Unpublished article.
Faculty/School / Institute/Centre:	Historic - Faculty of Sciences - Department of Maths and Computing (Up to 30 Jun 2013)
Faculty/School / Institute/Centre:	Historic - Faculty of Sciences - Department of Maths and Computing (Up to 30 Jun 2013)
Date Deposited:	22 Jul 2008 05:01
Last Modified:	23 Apr 2021 02:05
Uncontrolled Keywords:	computer algebra, self-adjoint dynamics, multiscale modelling
Fields of Research (2008):	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
Fields of Research (2020):	49 MATHEMATICAL SCIENCES > 4904 Pure mathematics > 490409 Ordinary differential equations, difference equations and dynamical systems 49 MATHEMATICAL SCIENCES > 4903 Numerical and computational mathematics > 490302 Numerical analysis
URI:	http://eprints.usq.edu.au/id/eprint/4275

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