An outlet for my thoughts that range in the thin layer that separates Twitter and math journals.

180410: Failing POD

POD is a popular approach for model reduction. Here is an illustration that POD may completely fail to give a decent approximation because it only considers data from a trajectory while ignoring the dynamics of the model. And this failure is not detected a-priori from the singular values of the snapshot matrix.
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[Python Code] [Ipython Notebook]


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by the researcher, blogger, and Open Access activist Ross Mounce