Analysis of the Heterogeneous Multiscale Method for Ordinary Differential Equations∗

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