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International Journal of Computer Mathematics Volume 86, 2009 - Issue 2: RECENT ADVANCES IN COMPUTATIONAL AND APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING
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Original Articles

A proper orthogonal decomposition approach to approximate balanced truncation of infinite dimensional linear systems

John R. Singler Department of Mathematics and Statistics, Missouri University of Science and Technology, Rolla, MO, USA
&
Belinda A. Batten School of Mechanical, Industrial and Manufacturing Engineering, Oregon State University, Corvallis, OR, USACorrespondence[email protected]
Pages 355-371 | Received 25 Sep 2007, Accepted 19 May 2008, Published online: 05 Dec 2008

Citations (14)

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Read on this site (1)

John R. Singler. (2010) Optimality of Balanced Proper Orthogonal Decomposition for Data Reconstruction. Numerical Functional Analysis and Optimization 31:7, pages 852-869.
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Articles from other publishers (13)

Ion Victor Gosea, Serkan Gugercin & Christopher Beattie. (2022) Data-Driven Balancing of Linear Dynamical Systems. SIAM Journal on Scientific Computing 44:1, pages A554-A582.
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Markel Penalba & John V. Ringwood. (2020) Systematic complexity reduction of wave-to-wire models for wave energy system design. Ocean Engineering 217, pages 107651.
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Shady E. Ahmed, Omer San, Diana A. Bistrian & Ionel M. Navon. (2020) Sampling and resolution characteristics in reduced order models of shallow water equations: Intrusive vs nonintrusive. International Journal for Numerical Methods in Fluids 92:8, pages 992-1036.
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Shady E. Ahmed, Suraj Pawar, Omer San & Adil Rasheed. (2020) Reduced order modeling of fluid flows: Machine learning, Kolmogorov barrier, closure modeling, and partitioning (Invited). Reduced order modeling of fluid flows: Machine learning, Kolmogorov barrier, closure modeling, and partitioning (Invited).
Weiwei Hu & John R. Singler. (2014) A modified balanced POD model reduction algorithm for parabolic PDEs with unbounded inputs. A modified balanced POD model reduction algorithm for parabolic PDEs with unbounded inputs.
John R. Singler, Joshua Merritt, Cody W. Ray & Belinda A. Batten. (2013) Reduced order controllers for an anisotropic composite plate with smart actuation and sensing. Reduced order controllers for an anisotropic composite plate with smart actuation and sensing.
John R. Singler. (2013) Variation of the balanced POD algorithm for model reduction of linear systems. Variation of the balanced POD algorithm for model reduction of linear systems.
John R. Singler & Belinda A. Batten. (2011) Balanced POD for linear PDE robust control computations. Computational Optimization and Applications 53:1, pages 227-248.
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J. R. Singler. (2012) Model reduction of linear PDE systems: A continuous time Eigensystem Realization Algorithm. Model reduction of linear PDE systems: A continuous time Eigensystem Realization Algorithm.
John R. Singler. (2011) Balanced POD for model reduction of linear PDE systems: convergence theory. Numerische Mathematik 121:1, pages 127-164.
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M. R. Opmeer. (2012) Model Order Reduction by Balanced Proper Orthogonal Decomposition and by Rational Interpolation. IEEE Transactions on Automatic Control 57:2, pages 472-477.
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John R. Singler & Belinda A. Batten. (2009) A comparison of balanced truncation methods for closed loop systems. A comparison of balanced truncation methods for closed loop systems.
John R. Singler. (2008) Approximate low rank solutions of Lyapunov equations via proper orthogonal decomposition. Approximate low rank solutions of Lyapunov equations via proper orthogonal decomposition.

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