Results 211 to 220 of about 6,618 (260)

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 R 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.
AndrĂ© V. G. Cavalieri   +1 more
openaire   +1 more source

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   +2 more
openaire   +2 more sources

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
openaire   +1 more source

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