Results 201 to 210 of about 6,628 (246)

Optimization of Sparse Sensor Layouts and Data-Driven Reconstruction Methods for Steady-State and Transient Thermal Field Inverse Problems. [PDF]

Sensors (Basel)
Yuan Q, Yao P, Zhao W, Zhang B.
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A mild and highly effective method of leaching metal from chalcopyrite using household chemicals. [PDF]

RSC Adv
Fang Z, Duchesne PN.
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Quadratic Subproduct Systems, Free Products, and Their C*-Algebras. [PDF]

Integr Equ Oper Theory
Arici F, Ge Y.
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The Role of Charge Resonances in the Benzene Dimer. [PDF]

ACS Phys Chem Au
Balbi A, Aagaard AR, Folkestad SD, Høyvik IM.   +3 more
europepmc   +1 more source

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A New Look at Proper Orthogonal Decomposition

SIAM Journal on Numerical Analysis, 2003
Summary: We investigate some basic properties of the proper orthogonal decomposition (POD) method as it is applied to data compression and model reduction of finite dimensional nonlinear systems. First we provide an analysis of the errors involved in solving a nonlinear ODE initial value problem using a POD reduced order model.
Muruhan Rathinam, Linda Petzold
exaly   +3 more sources

Cross proper orthogonal decomposition

Physical Review Fluids, 2021
A new modal decomposition of fluid flows, labeled cross proper orthogonal decomposition (CPOD), is presented. CPOD modes are ranked by their contributions to the trace of the cross-covariance between flow fluctuations. An application of CPOD is presented for turbulent channel flow, with modes with maximal contribution to the Reynolds shear stress.
André V. G. Cavalieri, André F. C. da Silva   +1 more
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Preserving Symmetries in the Proper Orthogonal Decomposition

SIAM Journal on Scientific Computing, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nadine Aubry, Wen-Yu Lian, Edriss S. Titi   +2 more
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Isogeometric Analysis with Proper Orthogonal Decomposition for Elastodynamics

Communications in Computational Physics, 2021
Summary: We consider reduced order modelling of elastodynamics with proper orthogonal decomposition and isogeometric analysis, a recent novel and promising discretization method for partial differential equations. The generalized-\(\alpha\) method for transient problems is used for additional flexibility in controlling high frequency dissipation.
Li, Richen, Wu, Qingbiao, Zhu, Shengfeng
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On The Hidden Beauty of the Proper Orthogonal Decomposition

Theoretical and Computational Fluid Dynamics, 1991
The proper orthogonal decomposition theorem (Loeve (1955)) of probability theory has been proposed and adapted by Lumley (1967) for detecting spatial coherent patterns in turbulent flows. More specifically, the decomposition extracts deterministic functions from second order statistics of a random field and converges optimally fast in the quadratic ...
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A few thoughts on proper orthogonal decomposition in turbulence

Physics of Fluids, 2017
Proper orthogonal decomposition was originally introduced in turbulence to identify large-scale patterns in turbulent flows. Over the years, several extensions have been formulated in order to strengthen its model-predictive abilities, with limited success in the case of fully developed turbulence.
Podvin, Bérengère, Fraigneau, Yann
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