Multiscale modelling of systems with complex microscale detail

该项目旨在为具有微观不规则细节的系统的紧凑和准确的宏观建模开发系统的数学和计算方法。该方法，合理的数学分析和计算，使用粒子/代理模拟，偏微分方程（PDE），或差分方程的小突发，有效地预测宏观行为。该项目的数学方法旨在有效，准确地提取和模拟宏观尺度上出现的集体动态，从而改善对工程师和科学家相关规模的这些复杂系统的重要特征的预测和理解。

This project aims to develop systematic mathematical and computational methods for the compact and accurate macroscale modelling of systems with microscopic irregular details. The methodology, justified with mathematical analysis and computation, uses small bursts of particle/agent simulations, partial differential equation (PDEs), or difference equations, to efficiently predict macroscale behaviour. This project’s mathematical methodology aims to efficiently and accurately extract and simulate the collective dynamics which emerge on macroscales, leading to improved prediction and understanding of the significant features of these complex systems at the scale relevant to engineers and scientists.