Computer algebra derives discretisations via self-adjoint multiscale modelling
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Roberts, A. J.. 2008. "Computer algebra derives discretisations via self-adjoint multiscale modelling." Unpublihsed.
| Article Title | Computer algebra derives discretisations via self-adjoint multiscale modelling |
|---|---|
| Article Category | Article |
| Authors | |
| Author | Roberts, A. J. |
| Journal Title | Unpublihsed |
| Number of Pages | 30 |
| Year | 2008 |
| 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. |
| Keywords | computer algebra, self-adjoint dynamics, multiscale modelling |
| ANZSRC Field of Research 2020 | 490409. Ordinary differential equations, difference equations and dynamical systems |
| 490302. Numerical analysis | |
| Public Notes | Unpublished article. |
| Byline Affiliations | Department of Mathematics and Computing |
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