Modeling, Mathematical Analysis, and Computation of Multiscale Systems

该项目开发并实施了一种系统的方法，包括分析和计算，以提取复杂物理和工程系统的紧凑，准确，系统级模型。我们广泛的方法论是围绕精细尺度，微观，详细的动力系统描述（粒子或分子模拟，或PDE或晶格方程）构建计算效率高的“包装”。综合考虑宏观尺度变化中子网格过程之间的多尺度相互作用，保证了稳定性和准确性。基于动态系统理论和分析，我们的方法将为即将到来的百亿亿次计算的最佳宏观模拟提供系统分析和理解。

This project develops and implements a systematic approach, both analytic and computational, to extract compact, accurate, system level models of complex physical and engineering systems. Our wide ranging methodology is to construct computationally efficient "wrappers" around fine scale, microscopic, detailed descriptions of dynamical systems (particle or molecular simulation, or PDE or lattice equations). Comprehensively accounting for multiscale interactions between subgrid processes among macroscale variations ensures stability and accuracy. Based on dynamical systems theory and analysis, our approach will empower systematic analysis and understanding for optimal macroscopic simulation for forthcoming exascale computing.