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arXiv · 2503.18021

Dynamically Optimal Projection onto Slow Spectral Manifolds for Linear Systems

Florian Kogelbauer·Ilya Karlin
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Abstract

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.

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Florian Kogelbauer, Ilya Karlin. 2025-03-23. Dynamically Optimal Projection onto Slow Spectral Manifolds for Linear Systems. https://arxiv.org/abs/2503.18021

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