Construction of Bifurcation Diagrams Using POD on the Fly

DOI10.1137/130927267zbMath1348.37116OpenAlexW1971224383MaRDI QIDQ2876674

José M. Vega, Filippo Terragni

Publication date: 19 August 2014

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/130927267

zbMATH Keywords

proper orthogonal decompositionPoincaré mapsadaptive methodsbifurcation diagramscomplex Ginzburg-Landau equationGalerkin projectionreduced-order models

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Computational methods for bifurcation problems in dynamical systems (37M20) Numerical bifurcation problems (65P30) Ginzburg-Landau equations (35Q56)

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Uses Software

• AUTO

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