The Method of Proper Orthogonal Decomposition for Dynamical Characterization and Order Reduction of Mechanical Systems: An Overview

Author:

Kerschen Gaetan,Golinval Jean-claude,VAKAKIS ALEXANDER F.,BERGMAN LAWRENCE A.

Publisher

Springer Science and Business Media LLC

Subject

Electrical and Electronic Engineering,Applied Mathematics,Mechanical Engineering,Ocean Engineering,Aerospace Engineering,Control and Systems Engineering

Reference89 articles.

1. Berkooz, G., Holmes, P., and Lumley, J. L., ‘The proper orthogonal decomposition in the analysis of turbulent flows’, Annual Review of Fluid Mechanics 25, 1993, 539–575.

2. Karhunen, K., ‘Uber Lineare Methoden in der Wahrscheinlichkeitsrechnung’, Annals of Academic Science Fennicae, Series A1 Mathematics and Physics 37, 1946, 3–79.

3. Kosambi, D., ‘Statistics in function space’, Journal of Indian Mathematical Society 7, 1943, 76–88.

4. Loeve, M., ‘Fonctions Aléatoires du Second Ordre’, in Processus stochastiques et mouvement Brownien, P. Levy (ed.), Gauthier-Villars, Paris, 1948.

5. Obukhov, M. A., ‘Statistical description of continuous fields’, Transactions of the Geophysical International Academy Nauk USSR 24, 1954, 3–42.

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