Learning nonlinear reduced models from data with operator inference

B Kramer, B Peherstorfer… - Annual Review of Fluid …, 2024 - annualreviews.org
This review discusses Operator Inference, a nonintrusive reduced modeling approach that
incorporates physical governing equations by defining a structured polynomial form for the …

Data-driven modeling for unsteady aerodynamics and aeroelasticity

J Kou, W Zhang - Progress in Aerospace Sciences, 2021 - Elsevier
Aerodynamic modeling plays an important role in multiphysics and design problems, in
addition to experiment and numerical simulation, due to its low-dimensional representation …

[SÁCH][B] Data-driven science and engineering: Machine learning, dynamical systems, and control

SL Brunton, JN Kutz - 2022 - books.google.com
Data-driven discovery is revolutionizing how we model, predict, and control complex
systems. Now with Python and MATLAB®, this textbook trains mathematical scientists and …

Data-driven prediction in dynamical systems: recent developments

A Ghadami, BI Epureanu - Philosophical Transactions of …, 2022 - royalsocietypublishing.org
In recent years, we have witnessed a significant shift toward ever-more complex and ever-
larger-scale systems in the majority of the grand societal challenges tackled in applied …

Survey of multifidelity methods in uncertainty propagation, inference, and optimization

B Peherstorfer, K Willcox, M Gunzburger - Siam Review, 2018 - SIAM
In many situations across computational science and engineering, multiple computational
models are available that describe a system of interest. These different models have varying …

Learning the intrinsic dynamics of spatio-temporal processes through Latent Dynamics Networks

F Regazzoni, S Pagani, M Salvador, L Dede'… - Nature …, 2024 - nature.com
Predicting the evolution of systems with spatio-temporal dynamics in response to external
stimuli is essential for scientific progress. Traditional equations-based approaches leverage …

Reduced basis methods for time-dependent problems

JS Hesthaven, C Pagliantini, G Rozza - Acta Numerica, 2022 - cambridge.org
Numerical simulation of parametrized differential equations is of crucial importance in the
study of real-world phenomena in applied science and engineering. Computational methods …

Virtual, digital and hybrid twins: a new paradigm in data-based engineering and engineered data

F Chinesta, E Cueto, E Abisset-Chavanne… - … methods in engineering, 2020 - Springer
Engineering is evolving in the same way than society is doing. Nowadays, data is acquiring
a prominence never imagined. In the past, in the domain of materials, processes and …

Data-driven operator inference for nonintrusive projection-based model reduction

B Peherstorfer, K Willcox - Computer Methods in Applied Mechanics and …, 2016 - Elsevier
This work presents a nonintrusive projection-based model reduction approach for full
models based on time-dependent partial differential equations. Projection-based model …

Data-driven POD-Galerkin reduced order model for turbulent flows

S Hijazi, G Stabile, A Mola, G Rozza - Journal of Computational Physics, 2020 - Elsevier
In this work we present a Reduced Order Model which is specifically designed to deal with
turbulent flows in a finite volume setting. The method used to build the reduced order model …