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Cited article:

Uniform Bounds with Difference Quotients for Proper Orthogonal Decomposition Reduced Order Models of the Burgers Equation

Birgul Koc, Tomás Chacón Rebollo and Samuele Rubino
Journal of Scientific Computing 95 (2) (2023)
https://doi.org/10.1007/s10915-023-02160-2

A new approach to proper orthogonal decomposition with difference quotients

Sarah Locke Eskew and John R. Singler
Advances in Computational Mathematics 49 (2) (2023)
https://doi.org/10.1007/s10444-023-10011-9

A posteriori error estimates in a finite element VMS-based reduced order model for the incompressible Navier-Stokes equations

Ramon Codina, Ricardo Reyes and Joan Baiges
Mechanics Research Communications 112 103599 (2021)
https://doi.org/10.1016/j.mechrescom.2020.103599

On Optimal Pointwise in Time Error Bounds and Difference Quotients for the Proper Orthogonal Decomposition

Birgul Koc, Samuele Rubino, Michael Schneier, John Singler and Traian Iliescu
SIAM Journal on Numerical Analysis 59 (4) 2163 (2021)
https://doi.org/10.1137/20M1371798

New Proper Orthogonal Decomposition Approximation Theory for PDE Solution Data

Sarah Locke and John Singler
SIAM Journal on Numerical Analysis 58 (6) 3251 (2020)
https://doi.org/10.1137/19M1297002

Projection-based reduced order models for flow problems: A variational multiscale approach

Ricardo Reyes and Ramon Codina
Computer Methods in Applied Mechanics and Engineering 363 112844 (2020)
https://doi.org/10.1016/j.cma.2020.112844