Data-driven reduced-order modeling for nonautonomous dynamical systems in multiscale media
From MaRDI portal
Publication:2112501
DOI10.1016/j.jcp.2022.111799OpenAlexW4310064447MaRDI QIDQ2112501
Publication date: 11 January 2023
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2204.13180
Smooth dynamical systems: general theory (37Cxx) Approximation methods and numerical treatment of dynamical systems (37Mxx) Numerical problems in dynamical systems (65Pxx)
Related Items (1)
Cites Work
- Unnamed Item
- Discovering governing equations from data by sparse identification of nonlinear dynamical systems
- A kernel-based method for data-driven Koopman spectral analysis
- On the numerical approximation of the Perron-Frobenius and Koopman operator
- A data-driven approximation of the koopman operator: extending dynamic mode decomposition
- A multiscale finite element method for elliptic problems in composite materials and porous media
- On convergence of extended dynamic mode decomposition to the Koopman operator
- Discrete multi-resolution analysis and generalized wavelets
- Constraint energy minimizing generalized multiscale finite element method
- Deep learning nonlinear multiscale dynamic problems using Koopman operator
- Koopman operator theory for nonautonomous and stochastic systems
- Spectral properties of dynamical systems, model reduction and decompositions
- On dynamic mode decomposition: theory and applications
- Multiresolution Dynamic Mode Decomposition
- Dynamic mode decomposition of numerical and experimental data
- Optimization of the first eigenvalue in problems involving the 𝑝-Laplacian
- On a Nonlinear Parabolic Problem Arising in Some Models Related to Turbulent Flows
- Hamiltonian Systems and Transformation in Hilbert Space
- Koopman Operator Family Spectrum for Nonautonomous Systems
- Dynamical Systems of Continuous Spectra
- Online Dynamic Mode Decomposition for Time-Varying Systems
This page was built for publication: Data-driven reduced-order modeling for nonautonomous dynamical systems in multiscale media