English

Multiscale modelling of microscale heterogeneous systems: analysis supports systematic and efficient macroscale modelling and simulation

Dynamical Systems 2019-07-24 v1

Abstract

These are lecture notes for five sessions in the AMSI Winter School on 'Computational Modelling of Heterogeneous Media' held at QUT in July 2019 [https://ws.amsi.org.au/]. Aim: Discuss a mix of new mathematical approaches for multiscale modelling, heterogeneous material in particular, along with corresponding novel computational techniques and issues. I include discussion of a developing toolbox that empowers you to implement effective multiscale `equation-free' computation [https://github.com/uoa1184615/EquationFreeGit.git].

Keywords

Cite

@article{arxiv.1907.09685,
  title  = {Multiscale modelling of microscale heterogeneous systems: analysis supports systematic and efficient macroscale modelling and simulation},
  author = {A. J. Roberts},
  journal= {arXiv preprint arXiv:1907.09685},
  year   = {2019}
}
R2 v1 2026-06-23T10:27:54.581Z