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Second order error bounds for POD-ROM methods based on first order divided differences

Published 6 Jun 2023 in math.NA and cs.NA | (2306.03550v1)

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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