Computer algebra models dynamics on a multigrid across multiple length and time scales

Roberts, A. J. (2007) Computer algebra models dynamics on a multigrid across multiple length and time scales. Technical Report. UNSPECIFIED . [Report]

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Abstract

[Abstract]: Methods for modelling dynamics posit just two time scales: a fast and a slow scale. But many applications, including many in continuum mechanics, possess a wide variety of space-time scales; often they possess a continuum of space-time scales. The computer algebra described here empowers an approach to modelling the dynamics of advection and diffusion with rigorous support for changing the resolved space-time scale by just a factor of two. The mapping of dynamics from a finer grid to a coarser grid may be iterated to generate a hierarchy of models across a wide range of space-time scales.


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Item Type: Report (Technical Report)
Item Status: Live Archive
Additional Information: USQ publication.
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: 14 Dec 2007 04:51
Last Modified: 02 Jul 2013 22:51
Uncontrolled Keywords: computer algebra models; modelling dynamics; multigridspace-time scales
Fields of Research (2008): 01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010301 Numerical Analysis
01 Mathematical Sciences > 0199 Other Mathematical Sciences > 019999 Mathematical Sciences not elsewhere classified
01 Mathematical Sciences > 0101 Pure Mathematics > 010109 Ordinary Differential Equations, Difference Equations and Dynamical Systems
Fields of Research (2020): 49 MATHEMATICAL SCIENCES > 4903 Numerical and computational mathematics > 490302 Numerical analysis
49 MATHEMATICAL SCIENCES > 4999 Other mathematical sciences > 499999 Other mathematical sciences not elsewhere classified
49 MATHEMATICAL SCIENCES > 4904 Pure mathematics > 490409 Ordinary differential equations, difference equations and dynamical systems
URI: http://eprints.usq.edu.au/id/eprint/3373

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