Principles of Multiscale Modeling¶
E, W. (2011). Principles of Multiscale Modeling. Cambridge University Press.
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Primes¶
- Hierarchical Decomposability
- Physical structure: atom → molecule → polymer → material → object; the basis for materials-science multi-scale modeling, where within-level forces (electronic, intramolecular, intermolecular, mesoscopic) dominate within a scale and couple weakly to other scales, a multi-scale framing E (2011) systematizes in his treatment of mathematical principles of multiscale modeling for materials and biophysical systems.
This sourceSystematic treatment of multiscale modeling in materials science and biophysics: develops the mathematical framework for analyzing systems with weak cross-scale coupling and dense within-scale coupling (atom → molecule → polymer → material → object), and the algorithms by which level-at-a-time analysis can be made rigorous.
- Physical structure: atom → molecule → polymer → material → object; the basis for materials-science multi-scale modeling, where within-level forces (electronic, intramolecular, intermolecular, mesoscopic) dominate within a scale and couple weakly to other scales, a multi-scale framing E (2011) systematizes in his treatment of mathematical principles of multiscale modeling for materials and biophysical systems.
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