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Model reduction of dynamical systems by proper orthogonal decomposition: Error bounds and comparison of methods using snapshots from the solution and the time derivatives

Journal Article · · Journal of Computational and Applied Mathematics

Not Available

Sponsoring Organization:
USDOE
OSTI ID:
1846851
Alternate ID(s):
OSTI ID: 1409976
OSTI ID: 1549927
Journal Information:
Journal of Computational and Applied Mathematics, Journal Name: Journal of Computational and Applied Mathematics Journal Issue: C Vol. 330; ISSN 0377-0427
Publisher:
ElsevierCopyright Statement
Country of Publication:
Belgium
Language:
English

References (26)

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A low-cost, goal-oriented ‘compact proper orthogonal decomposition’ basis for model reduction of static systems journal December 2010
Limited-memory adaptive snapshot selection for proper orthogonal decomposition: ADAPTIVE SNAPSHOT SELECTION FOR POD
  • Oxberry, Geoffrey M.; Kostova-Vassilevska, Tanya; Arrighi, William
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Control of laser surface hardening by a reduced-order approach using proper orthogonal decomposition journal November 2003
Gradient-enhanced surrogate modeling based on proper orthogonal decomposition journal January 2013
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Galerkin approximation with proper orthogonal decomposition : new error estimates and illustrative examples journal February 2012
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Error Estimation for Reduced‐Order Models of Dynamical Systems journal January 2007
Mixed Finite Element Formulation and Error Estimates Based on Proper Orthogonal Decomposition for the Nonstationary Navier–Stokes Equations journal January 2009
On Logarithmic Norms journal October 1975
Nonlinear Model Reduction via Discrete Empirical Interpolation journal January 2010
A State Space Error Estimate for POD-DEIM Nonlinear Model Reduction journal January 2012
New POD Error Expressions, Error Bounds, and Asymptotic Results for Reduced Order Models of Parabolic PDEs journal January 2014
Are the Snapshot Difference Quotients Needed in the Proper Orthogonal Decomposition? journal January 2014
Galerkin Proper Orthogonal Decomposition Methods for a General Equation in Fluid Dynamics journal January 2002
A New Look at Proper Orthogonal Decomposition journal January 2003
Fitzhugh–Nagumo Revisited: Types of Bifurcations, Periodical Forcing and Stability Regions by a Lyapunov Functional journal March 2004
Note on the Derivatives with Respect to a Parameter of the Solutions of a System of Differential Equations journal July 1919

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