Dynamically Optimal Projection onto Slow Spectral Manifolds for Linear Systems
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866915211246567424 |
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| author | Kogelbauer, Florian Karlin, Ilya |
| author_facet | Kogelbauer, Florian Karlin, Ilya |
| contents | We derive the dynamically optimal projection onto the linear slow manifold from a temporal variational principle. We demonstrate that the projection captures transient dynamics of the overall dissipative system and leads to a considerably improved fit of reduced trajectories compared to full trajectories. We illustrate these optimal model reduction properties on explicit examples, including the linear three-component Grad's moment system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_18021 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dynamically Optimal Projection onto Slow Spectral Manifolds for Linear Systems Kogelbauer, Florian Karlin, Ilya Dynamical Systems We derive the dynamically optimal projection onto the linear slow manifold from a temporal variational principle. We demonstrate that the projection captures transient dynamics of the overall dissipative system and leads to a considerably improved fit of reduced trajectories compared to full trajectories. We illustrate these optimal model reduction properties on explicit examples, including the linear three-component Grad's moment system. |
| title | Dynamically Optimal Projection onto Slow Spectral Manifolds for Linear Systems |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2503.18021 |