Second order error bounds for POD-ROM methods based on first order divided differences
Numerical Analysis
2023-06-07 v1 Numerical Analysis
Abstract
This note proves, for simplicity for the heat equation, that using BDF2 as time stepping scheme in POD-ROM methods with snapshots based on difference quotients gives both the optimal second order error bound in time and pointwise estimates.
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@article{arxiv.2306.03550,
title = {Second order error bounds for POD-ROM methods based on first order divided differences},
author = {Bosco García-Archilla and Volker John and Julia Novo},
journal= {arXiv preprint arXiv:2306.03550},
year = {2023}
}
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