Roberts, A. J. (2008) Computer algebra derives discretisations via self-adjoint multiscale modelling. Unpublished.
[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 Status:||Live Archive|
|Additional Information:||Unpublished article.|
|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
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