Spatial Approximation for Evolutionary Equations
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915681805533184 |
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| author | Buchinger, Andreas Seifert, Christian Trostorff, Sascha Waurick, Marcus |
| author_facet | Buchinger, Andreas Seifert, Christian Trostorff, Sascha Waurick, Marcus |
| contents | We consider evolutionary equations as introduced by R.\ Picard in 2009 and develop a general theory for approximation which can be seen as a theoretical foundation for numerical analysis for evolutionary equations. To demonstrate the approximation result, we apply it to a spatial discretisation of the heat equation using spectral methods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_15354 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Spatial Approximation for Evolutionary Equations Buchinger, Andreas Seifert, Christian Trostorff, Sascha Waurick, Marcus Functional Analysis Analysis of PDEs Primary 35F10, 35A35, secondary 35Q99, 35K90, 65M12, 65M60 We consider evolutionary equations as introduced by R.\ Picard in 2009 and develop a general theory for approximation which can be seen as a theoretical foundation for numerical analysis for evolutionary equations. To demonstrate the approximation result, we apply it to a spatial discretisation of the heat equation using spectral methods. |
| title | Spatial Approximation for Evolutionary Equations |
| topic | Functional Analysis Analysis of PDEs Primary 35F10, 35A35, secondary 35Q99, 35K90, 65M12, 65M60 |
| url | https://arxiv.org/abs/2512.15354 |