A Geometric Approach to Dynamical Model Order Reduction

Any model order reduced dynamical system that evolves a modal decomposition to approximate the discretized solution of a stochastic PDE can be related to a vector field tangent to the manifold of fixed rank matrices. The dynamically orthogonal (DO) approximation is the canonical reduced-order model...

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Bibliographic Details
Main Authors: Feppon, Florian Jeremy, Lermusiaux, Pierre
Other Authors: Massachusetts Institute of Technology. Department of Mechanical Engineering
Format: Article
Published: Society for Industrial & Applied Mathematics (SIAM) 2019
Online Access:http://hdl.handle.net/1721.1/120002
https://orcid.org/0000-0003-0122-5220
https://orcid.org/0000-0002-1869-3883