dorsal/arxiv
View SchemaThe Heterogeneous Multi-Scale Method
| Authors | Weinan E, Bjorn Engquist |
|---|---|
| Categories | |
| ArXiv ID | physics/0205048 |
| URL | https://arxiv.org/abs/physics/0205048 |
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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"abstract": "The heterogeneous multi-scale method (HMM) is a general strategy for dealing\nwith problems involving multi-scales, with multi-physics, using multi-grids. It\nnot only unifies several existing multi-scale methods, but also provide a\nmethodology for designing new algorithms for new applications. In this paper,\nwe review the history of multi-scale modeling and simulation that led to the\ndevelopment of HMM, the methodology itself together with some applications, and\nthe mathematical theory of stability and accuracy.",
"arxiv_id": "physics/0205048",
"authors": [
"Weinan E",
"Bjorn Engquist"
],
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"physics.comp-ph"
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"title": "The Heterogeneous Multi-Scale Method",
"url": "https://arxiv.org/abs/physics/0205048"
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