Long‐time behavior of the proper orthogonal decomposition method

DOI10.1002/NLA.825zbMath1274.65180OpenAlexW2168505388MaRDI QIDQ4924935

Jens Kemper

Publication date: 10 June 2013

Published in: Numerical Linear Algebra with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nla.825

zbMATH Keywords

infinite horizon problemsingular value decompositioneigenvaluesnumerical experimentsproper orthogonal decompositiondynamical systemerror estimatemodel reductionperturbation analysisevolution problemfeedback synthesis

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Feedback control (93B52) System structure simplification (93B11) Eigenvalues, singular values, and eigenvectors (15A18) Control/observation systems governed by ordinary differential equations (93C15) Initial-boundary value problems for second-order parabolic systems (35K51)

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Cites Work

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• Galerkin Proper Orthogonal Decomposition Methods for a General Equation in Fluid Dynamics
• Approximation of Large-Scale Dynamical Systems
• An adaptive subdivision technique for the approximation of attractors and invariant measures
• Galerkin proper orthogonal decomposition methods for parabolic problems

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