Model Reduction via Parametrized Locally Invariant Manifolds: Some Examples
arXiv:math-ph/0412022
Abstract
A method for model reduction in nonlinear ODE systems is demonstrated through computational examples. The method does not require an implicit separation of time-scales in the fine dynamics to be effective. From the computational standpoint, the method has the potential of serving as a subgrid modeling tool. From the physical standpoint, it provides a model for interpreting and describing history dependence in coarse-grained response of an autonomous system.
37 pages, PDF format