Title:
Second order error bounds for POD-ROM methods based on first order divided differences
Author(s):
García-Archilla, Bosco; John, Volker; Novo, Julia
Year of publication:
2023
Available Date:
2023-11-08T08:11:28Z
Abstract:
This note proves 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.
Part of Identifier:
e-ISSN (online): 1873-5452
Keywords:
Heat equation
POD-ROM methods
BDF2
Pointwise error estimates
DDC-Classification:
510 Mathematik
Publication Type:
Wissenschaftlicher Artikel
URL of the Original Publication:
DOI of the Original Publication:
Journaltitle:
Applied Mathematics Letters
Department/institution:
Mathematik und Informatik
Institut für Mathematik