On Optimal Pointwise in Time Error Bounds and Difference Quotients for the Proper Orthogonal Decomposition

SIAM Journal on Numerical Analysis ◽

10.1137/20m1371798 ◽

2021 ◽

Vol 59 (4) ◽

pp. 2163-2196

Author(s):

Birgul Koc ◽

Samuele Rubino ◽

Michael Schneier ◽

John Singler ◽

Traian Iliescu

Keyword(s):

Proper Orthogonal Decomposition ◽

Error Bounds ◽

Orthogonal Decomposition ◽

Difference Quotients ◽

Proper Orthogonal

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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 of Computational and Applied Mathematics ◽

10.1016/j.cam.2017.09.001 ◽

2018 ◽

Vol 330 ◽

pp. 553-573 ◽

Author(s):

Tanya Kostova-Vassilevska ◽

Geoffrey M. Oxberry

Keyword(s):

Dynamical Systems ◽

Proper Orthogonal Decomposition ◽

Model Reduction ◽

Error Bounds ◽

Orthogonal Decomposition ◽

Comparison Of Methods ◽

Proper Orthogonal

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Are the Snapshot Difference Quotients Needed in the Proper Orthogonal Decomposition?

SIAM Journal on Scientific Computing ◽

10.1137/130925141 ◽

2014 ◽

Vol 36 (3) ◽

pp. A1221-A1250 ◽

Author(s):

Traian Iliescu ◽

Zhu Wang

Keyword(s):

Proper Orthogonal Decomposition ◽

Orthogonal Decomposition ◽

Difference Quotients ◽

Proper Orthogonal

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Analysis of Spatiotemporal Field Modes of Particle-in-Cell Plasma Simulations via Proper Orthogonal Decomposition

2020 International Applied Computational Electromagnetics Society Symposium (ACES) ◽

10.23919/aces49320.2020.9196152 ◽

2020 ◽

Author(s):

Julio L. Nicolini ◽

Fernando L. Teixeira

Keyword(s):

Proper Orthogonal Decomposition ◽

Orthogonal Decomposition ◽

Particle In Cell ◽

Cell Plasma ◽

Plasma Simulations ◽

Proper Orthogonal

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An examination of coherent structures in a lobed mixer using multifractal measures in conjunction with the proper orthogonal decomposition

10.2514/6.1991-521 ◽

1991 ◽

Author(s):

L. UKEILEY ◽

M. VARGHESE ◽

M. GLAUSER ◽

D. VALENTINE

Keyword(s):

Proper Orthogonal Decomposition ◽

Coherent Structures ◽

Orthogonal Decomposition ◽

Proper Orthogonal ◽

Multifractal Measures

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Aerodynamic Data Reconstruction Using Proper Orthogonal Decomposition

39th AIAA Fluid Dynamics Conference ◽

10.2514/6.2009-4203 ◽

2009 ◽

Author(s):

Weigang Yao

Keyword(s):

Proper Orthogonal Decomposition ◽

Orthogonal Decomposition ◽

Data Reconstruction ◽

Proper Orthogonal

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An Proper Orthogonal Decomposition Analysis of a Realistic Landing Gear with Applications to Noise Prediction

10.26678/abcm.encit2016.cit2016-0174 ◽

2016 ◽

Author(s):

Paulo Azevedo ◽

William Wolf

Keyword(s):

Proper Orthogonal Decomposition ◽

Decomposition Analysis ◽

Landing Gear ◽

Orthogonal Decomposition ◽

Noise Prediction ◽

Proper Orthogonal ◽

Proper Orthogonal Decomposition Analysis

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Proper orthogonal decomposition for pricing options

The Journal of Computational Finance ◽

10.21314/jcf.2012.246 ◽

2012 ◽

Vol 16 (1) ◽

pp. 33-46 ◽

Author(s):

Olivier Pironneau

Keyword(s):

Proper Orthogonal Decomposition ◽

Orthogonal Decomposition ◽

Pricing Options ◽

Proper Orthogonal

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PROPER ORTHOGONAL DECOMPOSITION ANALYSIS OF TURBULENT CRYOGENIC LIQUID JET INJECTION UNDER TRANSCRITICAL AND SUPERCRITICAL CONDITIONS

Atomization and Sprays ◽

10.1615/atomizspr.2018028999 ◽

2018 ◽

Vol 28 (10) ◽

pp. 875-900 ◽

Author(s):

S. Taghizadeh ◽

Dorrin Jarrahbashi

Keyword(s):

Proper Orthogonal Decomposition ◽

Decomposition Analysis ◽

Cryogenic Liquid ◽

Orthogonal Decomposition ◽

Jet Injection ◽

Supercritical Conditions ◽

Proper Orthogonal ◽

Proper Orthogonal Decomposition Analysis ◽

Liquid Jet Injection

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Equivalent brain source localization exploiting the proper orthogonal decomposition of EEG

2011 10th International Workshop on Biomedical Engineering ◽

10.1109/iwbe.2011.6079041 ◽

2011 ◽

Author(s):

I. Aitidis ◽

P. Anastasiou ◽

P. Bonovas ◽

H. Panagiotidis ◽

G. Kyriacou

Keyword(s):

Proper Orthogonal Decomposition ◽

Source Localization ◽

Orthogonal Decomposition ◽

Proper Orthogonal ◽

Brain Source Localization

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Three-dimensional numerical simulations and proper orthogonal decomposition analysis of flow over different bottom-mounted ribs

Ships and Offshore Structures ◽

10.1080/17445302.2021.1877939 ◽

2021 ◽

pp. 1-36

Author(s):

Vinicius Serta Fraga ◽

Guang Yin ◽

Muk Chen Ong

Keyword(s):

Numerical Simulations ◽

Proper Orthogonal Decomposition ◽

Three Dimensional ◽

Decomposition Analysis ◽

Orthogonal Decomposition ◽

Proper Orthogonal ◽

Proper Orthogonal Decomposition Analysis

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