Dynamically Optimal Projection onto Slow Spectral Manifolds for Linear Systems
Dynamical Systems
2025-03-25 v1
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.
Cite
@article{arxiv.2503.18021,
title = {Dynamically Optimal Projection onto Slow Spectral Manifolds for Linear Systems},
author = {Florian Kogelbauer and Ilya Karlin},
journal= {arXiv preprint arXiv:2503.18021},
year = {2025}
}