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Article
A Proper Orthogonal Decomposition Approach to Approximate Balanced Truncation of Infinite Dimensional Linear Systems
International Journal of Computer Mathematics
  • John R. Singler, Missouri University of Science and Technology
  • Belinda A. Batten
Abstract
We 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 Type
Article - Journal
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2009 Taylor & Francis, All rights reserved.
Publication Date
2-1-2009
Citation Information
John 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/