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

## TL;DR

This paper discusses new mathematical and computational approaches for multiscale modelling of heterogeneous materials, providing a toolbox for efficient macroscale simulations based on microscale analysis.

## Contribution

It introduces novel multiscale modelling techniques and computational tools specifically designed for heterogeneous media, enhancing systematic and efficient macroscale simulation capabilities.

## Key findings

- Development of a multiscale modelling toolbox
- Implementation of equation-free computational methods
- Enhanced efficiency in macroscale simulations

## 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].

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Source: https://tomesphere.com/paper/1907.09685