Second order error bounds for POD-ROM methods based on first order divided differences
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
| Authors: | , , |
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| Format: | article |
| Publication Date: | 2023 |
| Country: | España |
| Institution: | Universidad Autónoma de Madrid |
| Repository: | Biblos-e Archivo. Repositorio Institucional de la UAM |
| Language: | English |
| OAI Identifier: | oai:repositorio.uam.es:10486/708640 |
| Online Access: | http://hdl.handle.net/10486/708640 https://dx.doi.org/10.1016/j.aml.2023.108836 |
| Access Level: | Open access |
| Keyword: | BDF2 Heat Equation POD-ROM Methods Pointwise Error Estimates Matemáticas |
| Summary: | 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 |
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