# Computer algebra derives discretisations via self-adjoint multiscale modelling

Article

*Unpublihsed.*

Article Title | Computer algebra derives discretisations via self-adjoint multiscale modelling |
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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Public Notes | Unpublished article.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 |

https://research.usq.edu.au/item/9yv9z/computer-algebra-derives-discretisations-via-self-adjoint-multiscale-modelling

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