Computer algebra derives discretisations via self-adjoint multiscale modelling

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.