Computer algebra models dynamics on a multigrid across multiple length and time scales
Technical report
Roberts, A. J.. 2007. Computer algebra models dynamics on a multigrid across multiple length and time scales.
| Title | Computer algebra models dynamics on a multigrid across multiple length and time scales |
|---|---|
| Report Type | Technical report |
| Authors | |
| Author | Roberts, A. J. |
| Institution of Origin | University of Southern Queensland |
| Number of Pages | 12 |
| Year | 2007 |
| 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. |
| Keywords | computer algebra models; modelling dynamics; multigridspace-time scales |
| ANZSRC Field of Research 2020 | 490302. Numerical analysis |
| 499999. Other mathematical sciences not elsewhere classified | |
| 490409. Ordinary differential equations, difference equations and dynamical systems | |
| Public Notes | File reproduced in accordance with the copyright policy of the publisher/author. |
| Byline Affiliations | Computational Engineering and Science Research Centre |
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