On Optimal Pointwise in Time Error Bounds and Difference Quotients for the Proper Orthogonal Decomposition
DOI10.1137/20M1371798zbMath1493.65154arXiv2010.03750OpenAlexW3192632560MaRDI QIDQ5009343
Traian Iliescu, Michael Schneier, Birgul Koc, Samuele Rubino, John R. Singler
Publication date: 20 August 2021
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.03750
Numerical solutions to overdetermined systems, pseudoinverses (65F20) Heat equation (35K05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) PDEs in connection with classical thermodynamics and heat transfer (35Q79)
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