2000 character limit reached
Second order error bounds for POD-ROM methods based on first order divided differences (2306.03550v1)
Published 6 Jun 2023 in math.NA and cs.NA
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.