A surrogate non-intrusive reduced order model of quasi-geostrophic turbulence dynamics based on a combination of LSTM and different approaches of DMD

Machine learning for nonintrusive model order reduction of the parametric inviscid transonic flow past an airfoil

(2020) S. Ashwin Renganathan et al.   PHYSICS OF FLUIDS

Dynamic Mode Decomposition for Compressive System Identification

(2019) Zhe Bai et al.   AIAA JOURNAL

An artificial neural network framework for reduced order modeling of transient flows

(2019) Omer San et al.   Communications in Nonlinear Science and Numerical Simulation

Neural network closures for nonlinear model order reduction

(2018) Omer San et al.   ADVANCES IN COMPUTATIONAL MATHEMATICS

Data-driven forecasting of high-dimensional chaotic systems with long short-term memory networks

(2018) Pantelis R. Vlachas et al.   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Model identification of reduced order fluid dynamics systems using deep learning

(2017) Z. Wang et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

Higher Order Dynamic Mode Decomposition

(2017) Soledad Le Clainche et al.   SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS

Randomized low-rank Dynamic Mode Decomposition for motion detection

(2016) N. Benjamin Erichson et al.   COMPUTER VISION AND IMAGE UNDERSTANDING

Multiresolution Dynamic Mode Decomposition

(2016) J. Nathan Kutz et al.   SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS

Compressed dynamic mode decomposition for background modeling

(2016) N. Benjamin Erichson et al.   Journal of Real-Time Image Processing

A stabilized proper orthogonal decomposition reduced-order model for large scale quasigeostrophic ocean circulation

(2015) Omer San et al.   ADVANCES IN COMPUTATIONAL MATHEMATICS

Deep learning

(2015) Yann LeCun et al.   NATURE

Robust and Dynamically Consistent Model Order Reduction for Nonlinear Dynamic Systems

(2014) David B. Segala et al.   JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME

Reduced-Order Model with an Artificial Neural Network for Aerostructural Design Optimization

(2013) Kyung Hyun Park et al.   JOURNAL OF AIRCRAFT

Approximate deconvolution large eddy simulation of a barotropic ocean circulation model

(2011) Omer San et al.   OCEAN MODELLING