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

DOI10.1137/130925141zbMath1297.65092arXiv1303.6012OpenAlexW2594340015MaRDI QIDQ2878951

Traian Iliescu, Zhu Wang

Publication date: 5 September 2014

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.6012

zbMATH Keywords

convergenceheat equationproper orthogonal decompositionBurgers equationerror analysisnumerical testreduced-order modeling

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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