Model Reduction via Parametrized Locally Invariant Manifolds: Some Examples

Details Model Reduction via Parametrized Locally Invariant Manifolds: Some Examples Model Reduction via Parametrized Locally Invariant Manifolds: Some Examples

2004-12-08

arxiv.org/abs/math-ph/0412022v2

Physics

Mathematical Physics

37 pages, PDF format

Scientific paper

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.

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