Highly Influenced

@inproceedings{Weinan2003AnalysisOT, title={Analysis of the Heterogeneous Multiscale Method for Ordinary Differential Equations∗}, author={E Weinan}, year={2003} }

- Published 2003

studied in averaging methods [1]. Here f and g are assumed to be periodic in φ and bounded as ε → 0. In the standard terminology of multiscale analysis, we would call x and φ the fast variables of these systems, y and I the slow variables. But we also have a particular interest on systems for which the fast and slow variables exist but cannot be explicitly identified beforehand. At the present time, there does not exist a unified strategy for dealing with both problems of type (1.1) and (1.2… CONTINUE READING

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