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The Heterogeneous Multi-Scale Method

Weinan E·Bjorn Engquist
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Abstract

The heterogeneous multi-scale method (HMM) is a general strategy for dealing with problems involving multi-scales, with multi-physics, using multi-grids. It not only unifies several existing multi-scale methods, but also provide a methodology for designing new algorithms for new applications. In this paper, we review the history of multi-scale modeling and simulation that led to the development of HMM, the methodology itself together with some applications, and the mathematical theory of stability and accuracy.

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Weinan E, Bjorn Engquist. 2002-11-22. The Heterogeneous Multi-Scale Method. https://arxiv.org/abs/physics/0205048

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