The Heterogeneous Multi-Scale Method
Computational Physics
2007-05-23 v2
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.
Cite
@article{arxiv.physics/0205048,
title = {The Heterogeneous Multi-Scale Method},
author = {Weinan E and Bjorn Engquist},
journal= {arXiv preprint arXiv:physics/0205048},
year = {2007}
}
Comments
24 pages, 2 figures