Magazine article from our research archive:

Accurate low-dimensional approximation of the linear dynamics of fluid flow

(Manuscript received 4 October 1999, in final form 30 January 2001)

ABSTRACT

Methods for approximating a stable linear autonomous dynamical system by a system of lower order are examined. Reducing the order of a dynamical system is useful theoretically in identifying the irreducible dimension of the dynamics and in isolating the dominant spatial structures supporting the dynamics, and practically in providing tractable lower-dimension statistical models for climate studies and error covariance models for forecast analysis and initialization. Optimal solution of the model order reduction problem requires simultaneous representation of both the growing structures in the system and the ...

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