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
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2023 |
| País: | España |
| Institución: | Universidad Autónoma de Madrid |
| Repositorio: | Biblos-e Archivo. Repositorio Institucional de la UAM |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.uam.es:10486/708640 |
| Acceso en línea: | http://hdl.handle.net/10486/708640 https://dx.doi.org/10.1016/j.aml.2023.108836 |
| Access Level: | acceso abierto |
| Palabra clave: | BDF2 Heat Equation POD-ROM Methods Pointwise Error Estimates Matemáticas |
| Sumario: | 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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