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Coarse-Graining Autonomous ODE Systems by Inducing a Separation of Scales: Practical Strategies and Mathematical Questions

Department of Civil & Environmental Engineering, Carnegie Mellon University, Pittsburgh, PA 15213, USA

^* To whom correspondence should be addressed.

	Abstract

This short note introduces a methodology for sequential multiscale modeling of autonomous, microscopic, systems of Ordinary Differential Equations through a redef inition of the original dynamics as an augmented system with an explicit separation of time scales arising merely from the def inition of time-averaging. Associated mathematical questions are stated and discussed.

Key Words: sequential multiscale modeling, time-averaging, computational coarse-graining methodology

First published on March 11, 2009
Mathematics and Mechanics of Solids 2009, doi:10.1177/1081286508100972


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