Article
Second order error bounds for POD-ROM methods based on first order divided differences
Author/s | García-Archilla, Bosco
John, Volker Novo, Julia |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada II (ETSI) |
Publication Date | 2023 |
Deposit Date | 2023-10-17 |
Published in |
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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. |
Funding agencies | Ministerio de Ciencia, Innovación y Universidades (MICINN). España Ministerio de Economia, Industria y Competitividad (MINECO). España |
Project ID. | PGC2018-096265-B-I00
PID2019-104141GB-I00 PID2019-104141GB-I00 |
Citation | García-Archilla, B., John, V. y Novo, J. (2023). Second order error bounds for POD-ROM methods based on first order divided differences. Applied Mathematics Letters, 146, 108836. https://doi.org/10.1016/j.aml.2023.108836. |
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