Parametric dynamic mode decomposition for reduced order modeling

QA Huhn, ME Tano, JC Ragusa, Y Choi - Journal of Computational Physics, 2023 - Elsevier
Abstract Dynamic Mode Decomposition (DMD) is a model-order reduction approach,
whereby spatial modes of fixed temporal frequencies are extracted from numerical or …

AI-Based Model Order Reduction Techniques: A Survey

S Mallick, M Mittal - Archives of Computational Methods in Engineering, 2025 - Springer
Abstract Model Order Reduction (MOR) techniques play a crucial role in reducing the
computational complexity of high-dimensional mathematical models, enabling efficient …

Order reduction in linear dynamical systems by using improved balanced realization technique

AK Prajapati, R Prasad - Circuits, Systems, and Signal Processing, 2019 - Springer
In this article, a new model order reduction scheme is proposed for the simplification of large-
scale linear dynamical models. The proposed technique is based on the balanced …

A data driven reduced order model of fluid flow by auto-encoder and self-attention deep learning methods

R Fu, D **ao, IM Navon, C Wang - arxiv preprint arxiv:2109.02126, 2021 - arxiv.org
This paper presents a new data-driven non-intrusive reduced-order model (NIROM) that
outperforms the traditional Proper orthogonal decomposition (POD) based reducedorder …

[HTML][HTML] Frequency-and time-limited balanced truncation for large-scale second-order systems

P Benner, SWR Werner - Linear Algebra and its Applications, 2021 - Elsevier
Considering the use of dynamical systems in practical applications, often only limited
regions in the time or frequency domain are of interest. Therefore, it usually pays off to …

Structure-preserving model reduction for mechanical systems

SWR Werner - 2021 - repo.bibliothek.uni-halle.de
In this thesis, structure-preserving model order reduction for dynamical systems is studied.
The particular focus lies on mechanical systems described by differential equations with …

Low integer-order approximation of fractional-order systems using grey wolf optimizer-based cuckoo search algorithm

A Mouhou, A Badri - Circuits, Systems, and Signal Processing, 2022 - Springer
This paper presents a stable reduced order approximation method of fractional-order
systems based on the grey wolf optimizer hybridized with cuckoo search algorithm (GWO …

Singular value decay of operator-valued differential Lyapunov and Riccati equations

T Stillfjord - SIAM Journal on Control and Optimization, 2018 - SIAM
We consider operator-valued differential Lyapunov and Riccati equations, where the
operators B and C may be relatively unbounded with respect to A (in the standard notation) …

Finite-time balanced truncation for linear systems via shifted Legendre polynomials

ZH **ao, YL Jiang, ZZ Qi - Systems & Control Letters, 2019 - Elsevier
In this paper, we present a finite-time model order reduction method for linear systems via
shifted Legendre polynomials. The main idea of the approach is to use finite-time empirical …

Finite-frequency model order reduction of linear and bilinear systems via low-rank approximation

QY Song, U Zulfiqar, X Du - Journal of Computational and Applied …, 2025 - Elsevier
In this paper, we first investigate the finite-frequency model order reduction for linear
systems based on low-rank Gramian approximations. An efficient algorithm for computing …