A Dynamic Mode Decomposition Extension for the Forecasting of Parametric Dynamical Systems

DOI10.1137/22m1481658zbMath1527.37094arXiv2110.09155OpenAlexW3205592958MaRDI QIDQ6076407

Gianluigi Rozza, Nicola Demo, Unnamed Author

Publication date: 21 September 2023

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.09155

zbMATH Keywords

dynamical systemreduced order modelingdynamic mode decompositionparametric partial differential equations

Mathematics Subject Classification ID

Approximation methods and numerical treatment of dynamical systems (37M99)

Cites Work

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• Data-driven POD-Galerkin reduced order model for turbulent flows
• An efficient computational framework for naval shape design and optimization problems by means of data-driven reduced order modeling techniques
• Projection-based model reduction of dynamical systems using space-time subspace and machine learning
• An integrated data-driven computational pipeline with model order reduction for industrial and applied mathematics
• On the comparison of LES data-driven reduced order approaches for hydroacoustic analysis
• Compressive Sensing and Low-Rank Libraries for Classification of Bifurcation Regimes in Nonlinear Dynamical Systems
• Certified Reduced Basis Methods for Parametrized Partial Differential Equations
• An Online Method for Interpolating Linear Parametric Reduced-Order Models
• Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations
• Variable Projection Methods for an Optimized Dynamic Mode Decomposition
• Prediction Accuracy of Dynamic Mode Decomposition
• Parametric POD-Galerkin Model Order Reduction for Unsteady-State Heat Transfer Problems
• Higher Order Dynamic Mode Decomposition
• Sparse Sensing and DMD-Based Identification of Flow Regimes and Bifurcations in Complex Flows
• A data-driven surrogate modeling approach for time-dependent incompressible Navier-Stokes equations with dynamic mode decomposition and manifold interpolation

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