A Proper Orthogonal Decomposition Approach to Approximate Balanced Truncation of Infinite Dimensional Linear SystemsInternational Journal of Computer Mathematics
AbstractWe extend a method for approximate balanced reduced order model derivation for finite dimensional linear systems developed by Rowley (Int. J. Bifur. Chaos Appl. Sci. Eng. 15(3) (2005), pp. 997-1013) to infinite dimensional systems. The algorithm is related to standard balanced truncation, but includes aspects of the proper orthogonal decomposition in its computational approach. The method can be also applied to nonlinear systems. Numerical results are presented for a convection diffusion system.
Department(s)Mathematics and Statistics
Keywords and Phrases
- Balanced Truncation,
- Infinite Dimensional Systems,
- Proper Orthogonal Decomposition
Document TypeArticle - Journal
Document VersionFinal Version
Rights© 2009 Taylor & Francis, All rights reserved.
Citation InformationJohn R. Singler and Belinda A. Batten. "A Proper Orthogonal Decomposition Approach to Approximate Balanced Truncation of Infinite Dimensional Linear Systems" International Journal of Computer Mathematics (2009)
Available at: http://works.bepress.com/john-singler/5/