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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 …
incorporates physical governing equations by defining a structured polynomial form for the …
Data-driven modeling for unsteady aerodynamics and aeroelasticity
Aerodynamic modeling plays an important role in multiphysics and design problems, in
addition to experiment and numerical simulation, due to its low-dimensional representation …
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 …
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 …
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 …
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
Predicting the evolution of systems with spatio-temporal dynamics in response to external
stimuli is essential for scientific progress. Traditional equations-based approaches leverage …
stimuli is essential for scientific progress. Traditional equations-based approaches leverage …
Reduced basis methods for time-dependent problems
Numerical simulation of parametrized differential equations is of crucial importance in the
study of real-world phenomena in applied science and engineering. Computational methods …
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
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 …
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 …
models based on time-dependent partial differential equations. Projection-based model …
Data-driven POD-Galerkin reduced order model for turbulent flows
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 …
turbulent flows in a finite volume setting. The method used to build the reduced order model …