In this paper, we extend a method for reduced order model derivation for finite dimensional systems developed by Rowley to infinite dimensional systems. The method is related to standard balanced truncation, but includes aspects of the proper orthogonal decomposition in its computational approach. The method is also applicable to nonlinear systems. The method is applied to a convection diffusion equation.
J. R. Singler and B. A. Batten, "Balanced Proper Orthogonal Decomposition for Model Reduction of Infinite Dimensional Linear Systems," Proceedings of the International Conference on Computational and Mathematical Methods in Science and Engineering; CMMSE (2007, Chicago, IL), University of Wisconsin, Jan 2007.
International Conference on Computational and Mathematical Methods in Science and Engineering; CMMSE (2007: Jun. 20-23, Chicago, IL)
Mathematics and Statistics
Keywords and Phrases
Balanced Truncation; Proper Orthogonal Decomposition; Infinite Dimensional Systems
Article - Conference proceedings
© 2007 University of Wisconsin, All rights reserved.