English

Reduced-order modelling based on Koopman operator theory

Numerical Analysis 2024-09-06 v1 Numerical Analysis Dynamical Systems

Abstract

The present study focuses on a subject of significant interest in fluid dynamics: the identification of a model with decreased computational complexity from numerical code output using Koopman operator theory. A reduced-order modelling method that incorporates a novel strategy for identifying the most impactful Koopman modes was used to numerically approximate the Koopman composition operator.

Keywords

Cite

@article{arxiv.2409.03549,
  title  = {Reduced-order modelling based on Koopman operator theory},
  author = {Diana A. Bistrian and Gabriel Dimitriu and Ionel M. Navon},
  journal= {arXiv preprint arXiv:2409.03549},
  year   = {2024}
}

Comments

11 pages, 7 figures

R2 v1 2026-06-28T18:35:22.475Z