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Brunton, Steven L.

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Author ID: brunton.steven-l Recent zbMATH articles by "Brunton, Steven L."
Published as: Brunton, Steven L.; Brunton, S. L.
External Links: MGP
Documents Indexed: 42 Publications since 2010, including 3 Books

Publications by Year

Citations contained in zbMATH Open

32 Publications have been cited 662 times in 340 Documents Cited by Year
Discovering governing equations from data by sparse identification of nonlinear dynamical systems. Zbl 1355.94013
Brunton, Steven L.; Proctor, Joshua L.; Kutz, J. Nathan
141
2016
On dynamic mode decomposition: theory and applications. Zbl 1346.37064
Tu, Jonathan H.; Rowley, Clarence W.; Luchtenburg, Dirk M.; Brunton, Steven L.; Kutz, J. Nathan
105
2014
Dynamic mode decomposition. Data-driven modeling of complex systems. Zbl 1365.65009
Kutz, J. Nathan; Brunton, Steven L.; Brunton, Bingni W.; Proctor, Joshua L.
60
2016
Dynamic mode decomposition with control. Zbl 1334.65199
Proctor, Joshua L.; Brunton, Steven L.; Kutz, J. Nathan
47
2016
Multiresolution dynamic mode decomposition. Zbl 1338.37121
Kutz, J. Nathan; Fu, Xing; Brunton, Steven L.
26
2016
Fast computation of finite-time Lyapunov exponent fields for unsteady flows. Zbl 1311.76102
Brunton, Steven L.; Rowley, Clarence W.
24
2010
Model selection for dynamical systems via sparse regression and information criteria. Zbl 1404.65308
Mangan, N. M.; Kutz, J. N.; Brunton, S. L.; Proctor, J. L.
24
2017
Machine learning for fluid mechanics. Zbl 1439.76138
Brunton, Steven L.; Noack, Bernd R.; Koumoutsakos, Petros
23
2020
Compressive sensing and low-rank libraries for classification of bifurcation regimes in nonlinear dynamical systems. Zbl 1354.37078
Brunton, Steven L.; Tu, Jonathan H.; Bright, Ido; Kutz, J. Nathan
23
2014
Sparse sensor placement optimization for classification. Zbl 1350.49037
Brunton, B. W.; Brunton, S. L.; Proctor, J. L.; Kutz, J. N.
20
2016
Constrained sparse Galerkin regression. Zbl 1419.76205
Loiseau, Jean-Christophe; Brunton, Steven L.
19
2018
Data-driven science and engineering. Machine learning, dynamical systems, and control. Zbl 1407.68002
Brunton, Steven L.; Kutz, J. Nathan
19
2019
Compressed sensing and dynamic mode decomposition. Zbl 1347.94012
Kutz, J. Nathan; Tu, Jonathan H.; Proctor, Joshua L.; Brunton, Steven L.
18
2015
Machine learning control – taming nonlinear dynamics and turbulence. Zbl 1349.76001
Duriez, Thomas; Brunton, Steven L.; Noack, Bernd R.
15
2017
Network structure of two-dimensional decaying isotropic turbulence. Zbl 1359.76124
Taira, Kunihiko; Nair, Aditya G.; Brunton, Steven L.
13
2016
Sparse reduced-order modelling: sensor-based dynamics to full-state estimation. Zbl 1461.76369
Loiseau, Jean-Christophe; Noack, Bernd R.; Brunton, Steven L.
13
2018
Generalizing Koopman theory to allow for inputs and control. Zbl 1390.93226
Proctor, Joshua L.; Brunton, Steven L.; Kutz, J. Nathan
12
2018
Sparse identification of nonlinear dynamics for model predictive control in the low-data limit. Zbl 1425.93175
Kaiser, E.; Kutz, J. N.; Brunton, S. L.
8
2018
Reduced-order unsteady aerodynamic models at low Reynolds numbers. Zbl 1287.76078
Brunton, Steven L.; Rowley, Clarence W.; Williams, David R.
8
2013
Data-driven identification of parametric partial differential equations. Zbl 1456.65096
Rudy, Samuel; Alla, Alessandro; Brunton, Steven L.; Kutz, J. Nathan
7
2019
Data-driven discovery of coordinates and governing equations. Zbl 1433.68396
Champion, Kathleen; Lusch, Bethany; Kutz, Nathan; Brunton, Steven L.
6
2019
Applied Koopman theory for partial differential equations and data-driven modeling of spatio-temporal systems. Zbl 1409.37029
Nathan Kutz, J.; Proctor, J. L.; Brunton, S. L.
6
2018
Randomized dynamic mode decomposition. Zbl 1427.65410
Erichson, N. Benjamin; Mathelin, Lionel; Kutz, J. Nathan; Brunton, Steven L.
4
2019
Cluster-based feedback control of turbulent post-stall separated flows. Zbl 1421.76138
Nair, Aditya G.; Yeh, Chi-An; Kaiser, Eurika; Noack, Bernd R.; Brunton, Steven L.; Taira, Kunihiko
4
2019
Time-delay observables for Koopman: theory and applications. Zbl 1441.37090
Kamb, Mason; Kaiser, Eurika; Brunton, Steven L.; Kutz, J. Nathan
3
2020
Deep learning of dynamics and signal-noise decomposition with time-stepping constraints. Zbl 1452.68170
Rudy, Samuel H.; Nathan Kutz, J.; Brunton, Steven L.
3
2019
Frequency selection by feedback control in a turbulent shear flow. Zbl 1425.76110
Parezanović, Vladimir; Cordier, Laurent; Spohn, Andreas; Duriez, Thomas; Noack, Bernd R.; Bonnet, Jean-Paul; Segond, Marc; Abel, Markus; Brunton, Steven L.
3
2016
Sparsity enabled cluster reduced-order models for control. Zbl 1375.76075
Kaiser, Eurika; Morzyński, Marek; Daviller, Guillaume; Kutz, J. Nathan; Brunton, Bingni W.; Brunton, Steven L.
3
2018
Long-time uncertainty propagation using generalized polynomial chaos and flow map composition. Zbl 1351.37262
Luchtenburg, Dirk M.; Brunton, Steven L.; Rowley, Clarence W.
2
2014
Model selection for hybrid dynamical systems via sparse regression. Zbl 1427.93253
Mangan, N. M.; Askham, T.; Brunton, S. L.; Kutz, J. N.; Proctor, J. L.
1
2019
Sparse principal component analysis via variable projection. Zbl 1440.62231
Erichson, N. Benjamin; Zheng, Peng; Manohar, Krithika; Brunton, Steven L.; Kutz, J. Nathan; Aravkin, Aleksandr Y.
1
2020
Data-driven approximations of dynamical systems operators for control. Zbl 1453.93047
Kaiser, Eurika; Kutz, J. Nathan; Brunton, Steven L.
1
2020
Machine learning for fluid mechanics. Zbl 1439.76138
Brunton, Steven L.; Noack, Bernd R.; Koumoutsakos, Petros
23
2020
Time-delay observables for Koopman: theory and applications. Zbl 1441.37090
Kamb, Mason; Kaiser, Eurika; Brunton, Steven L.; Kutz, J. Nathan
3
2020
Sparse principal component analysis via variable projection. Zbl 1440.62231
Erichson, N. Benjamin; Zheng, Peng; Manohar, Krithika; Brunton, Steven L.; Kutz, J. Nathan; Aravkin, Aleksandr Y.
1
2020
Data-driven approximations of dynamical systems operators for control. Zbl 1453.93047
Kaiser, Eurika; Kutz, J. Nathan; Brunton, Steven L.
1
2020
Data-driven science and engineering. Machine learning, dynamical systems, and control. Zbl 1407.68002
Brunton, Steven L.; Kutz, J. Nathan
19
2019
Data-driven identification of parametric partial differential equations. Zbl 1456.65096
Rudy, Samuel; Alla, Alessandro; Brunton, Steven L.; Kutz, J. Nathan
7
2019
Data-driven discovery of coordinates and governing equations. Zbl 1433.68396
Champion, Kathleen; Lusch, Bethany; Kutz, Nathan; Brunton, Steven L.
6
2019
Randomized dynamic mode decomposition. Zbl 1427.65410
Erichson, N. Benjamin; Mathelin, Lionel; Kutz, J. Nathan; Brunton, Steven L.
4
2019
Cluster-based feedback control of turbulent post-stall separated flows. Zbl 1421.76138
Nair, Aditya G.; Yeh, Chi-An; Kaiser, Eurika; Noack, Bernd R.; Brunton, Steven L.; Taira, Kunihiko
4
2019
Deep learning of dynamics and signal-noise decomposition with time-stepping constraints. Zbl 1452.68170
Rudy, Samuel H.; Nathan Kutz, J.; Brunton, Steven L.
3
2019
Model selection for hybrid dynamical systems via sparse regression. Zbl 1427.93253
Mangan, N. M.; Askham, T.; Brunton, S. L.; Kutz, J. N.; Proctor, J. L.
1
2019
Constrained sparse Galerkin regression. Zbl 1419.76205
Loiseau, Jean-Christophe; Brunton, Steven L.
19
2018
Sparse reduced-order modelling: sensor-based dynamics to full-state estimation. Zbl 1461.76369
Loiseau, Jean-Christophe; Noack, Bernd R.; Brunton, Steven L.
13
2018
Generalizing Koopman theory to allow for inputs and control. Zbl 1390.93226
Proctor, Joshua L.; Brunton, Steven L.; Kutz, J. Nathan
12
2018
Sparse identification of nonlinear dynamics for model predictive control in the low-data limit. Zbl 1425.93175
Kaiser, E.; Kutz, J. N.; Brunton, S. L.
8
2018
Applied Koopman theory for partial differential equations and data-driven modeling of spatio-temporal systems. Zbl 1409.37029
Nathan Kutz, J.; Proctor, J. L.; Brunton, S. L.
6
2018
Sparsity enabled cluster reduced-order models for control. Zbl 1375.76075
Kaiser, Eurika; Morzyński, Marek; Daviller, Guillaume; Kutz, J. Nathan; Brunton, Bingni W.; Brunton, Steven L.
3
2018
Model selection for dynamical systems via sparse regression and information criteria. Zbl 1404.65308
Mangan, N. M.; Kutz, J. N.; Brunton, S. L.; Proctor, J. L.
24
2017
Machine learning control – taming nonlinear dynamics and turbulence. Zbl 1349.76001
Duriez, Thomas; Brunton, Steven L.; Noack, Bernd R.
15
2017
Discovering governing equations from data by sparse identification of nonlinear dynamical systems. Zbl 1355.94013
Brunton, Steven L.; Proctor, Joshua L.; Kutz, J. Nathan
141
2016
Dynamic mode decomposition. Data-driven modeling of complex systems. Zbl 1365.65009
Kutz, J. Nathan; Brunton, Steven L.; Brunton, Bingni W.; Proctor, Joshua L.
60
2016
Dynamic mode decomposition with control. Zbl 1334.65199
Proctor, Joshua L.; Brunton, Steven L.; Kutz, J. Nathan
47
2016
Multiresolution dynamic mode decomposition. Zbl 1338.37121
Kutz, J. Nathan; Fu, Xing; Brunton, Steven L.
26
2016
Sparse sensor placement optimization for classification. Zbl 1350.49037
Brunton, B. W.; Brunton, S. L.; Proctor, J. L.; Kutz, J. N.
20
2016
Network structure of two-dimensional decaying isotropic turbulence. Zbl 1359.76124
Taira, Kunihiko; Nair, Aditya G.; Brunton, Steven L.
13
2016
Frequency selection by feedback control in a turbulent shear flow. Zbl 1425.76110
Parezanović, Vladimir; Cordier, Laurent; Spohn, Andreas; Duriez, Thomas; Noack, Bernd R.; Bonnet, Jean-Paul; Segond, Marc; Abel, Markus; Brunton, Steven L.
3
2016
Compressed sensing and dynamic mode decomposition. Zbl 1347.94012
Kutz, J. Nathan; Tu, Jonathan H.; Proctor, Joshua L.; Brunton, Steven L.
18
2015
On dynamic mode decomposition: theory and applications. Zbl 1346.37064
Tu, Jonathan H.; Rowley, Clarence W.; Luchtenburg, Dirk M.; Brunton, Steven L.; Kutz, J. Nathan
105
2014
Compressive sensing and low-rank libraries for classification of bifurcation regimes in nonlinear dynamical systems. Zbl 1354.37078
Brunton, Steven L.; Tu, Jonathan H.; Bright, Ido; Kutz, J. Nathan
23
2014
Long-time uncertainty propagation using generalized polynomial chaos and flow map composition. Zbl 1351.37262
Luchtenburg, Dirk M.; Brunton, Steven L.; Rowley, Clarence W.
2
2014
Reduced-order unsteady aerodynamic models at low Reynolds numbers. Zbl 1287.76078
Brunton, Steven L.; Rowley, Clarence W.; Williams, David R.
8
2013
Fast computation of finite-time Lyapunov exponent fields for unsteady flows. Zbl 1311.76102
Brunton, Steven L.; Rowley, Clarence W.
24
2010
all top 5

Cited by 649 Authors

30 Kutz, J. Nathan
29 Brunton, Steven L.
13 Noack, Bernd R.
12 Rowley, Clarence W.
9 Mezić, Igor
8 Karniadakis, George Em
8 Peherstorfer, Benjamin
8 Proctor, Joshua L.
8 Schaeffer, Hayden
7 Bollt, Erik M.
7 Kaiser, Eurika
7 Kevrekidis, Ioannis George
7 Klus, Stefan
7 Willcox, Karen E.
6 Giannakis, Dimitrios
6 Morzyński, Marek
6 Peitz, Sebastian
6 Raissi, Maziar
5 Alla, Alessandro
5 Chinesta, Francisco
5 Cueto, Elias
5 Duraisamy, Karthik
5 Iliescu, Traian
5 Pan, Shaowu
5 Sapsis, Themistoklis P.
5 Schütte, Christof
5 Taira, Kunihiko
5 Xiu, Dongbin
4 Abisset-Chavanne, Emmanuelle
4 Balasuriya, Sanjeeva
4 Brunton, Bingni W.
4 Das, Suddhasattwa
4 Dietrich, Felix
4 Duan, Jinqiao
4 Garikipati, Krishna
4 Hesthaven, Jan S.
4 Ibañez, Ruben
4 Koltai, Péter
4 Krämer, Boris
4 Leung, Shingyu
4 Loiseau, Jean-Christophe
4 Rozza, Gianluigi
4 Semaan, Richard
4 Tran, Giang N.
4 Wu, Kailiang
3 Drmač, Zlatko
3 Gunzburger, Max D.
3 Karasözen, Bülent
3 Le Clainche, Soledad
3 Mathelin, Lionel
3 Mauroy, Alexandre
3 Mohebujjaman, Muhammad
3 Mohr, Ryan
3 Mou, Changhong
3 Noé, Frank
3 Page, Jacob
3 Perdikaris, Paris G.
3 Qin, Tong
3 Rudy, Samuel H.
3 Vega, José Manuel
3 Ward, Rachel A.
3 Williams, Matthew O.
3 You, Guoqiao
2 Aguado, Jose Vicente
2 Ammar, Amine
2 Askham, Travis
2 Attux, Romis
2 Benner, Peter
2 Blanchard, Antoine B.
2 Cattafesta, Louis N. III
2 Chang, Haibin
2 Chekroun, Mickaël D.
2 Chen, Zhen
2 Cordier, Laurent
2 de Oliveira, José Raimundo
2 Deem, Eric A.
2 Dellnitz, Michael
2 Deng, Nan
2 Du, Qiang
2 Duval, Jean Louis
2 Erichson, N. Benjamin
2 Fang, Fangxin
2 Fazanaro, Filipe I.
2 Fernex, Daniel
2 Flores, Kevin B.
2 Fukagata, Koji
2 Fukami, Kai
2 Gebken, Bennet
2 Gopalakrishnan Meena, Muralikrishnan
2 Gunaratne, Gemunu H.
2 Haghighat, Ehsan
2 Hirsh, Seth M.
2 Iacobello, Giovanni
2 Jacobs, Gustaaf B.
2 Jayaraman, Balaji
2 Juanes, Ruben
2 Kerswell, Richard Rodney
2 Khodkar, M. A.
2 Koc, Birgul
2 Korda, Milan
...and 549 more Authors
all top 5

Cited in 59 Serials

65 Journal of Fluid Mechanics
33 Journal of Computational Physics
31 Chaos
28 SIAM Journal on Applied Dynamical Systems
25 Computer Methods in Applied Mechanics and Engineering
20 SIAM Journal on Scientific Computing
8 Computers and Fluids
8 Journal of Nonlinear Science
8 Journal of Computational Dynamics
7 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
6 Automatica
6 Advances in Computational Mathematics
6 Nonlinear Dynamics
5 Physica D
5 Multiscale Modeling & Simulation
4 Journal of Scientific Computing
4 SIAM Journal on Applied Mathematics
4 Applied and Computational Harmonic Analysis
4 Communications in Nonlinear Science and Numerical Simulation
3 Computational Mechanics
3 Journal of Machine Learning Research (JMLR)
3 SIAM/ASA Journal on Uncertainty Quantification
2 Computers & Mathematics with Applications
2 Journal of Statistical Physics
2 Nonlinearity
2 SIAM Journal on Mathematical Analysis
2 SIAM Review
2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
2 Physics of Fluids
2 Complexity
2 Archives of Computational Methods in Engineering
2 Discrete and Continuous Dynamical Systems. Series S
1 Archives of Mechanics
1 Journal of Mathematical Biology
1 Physics Letters. A
1 Bulletin of Mathematical Biology
1 ACM Transactions on Mathematical Software
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Approximation Theory
1 Journal of Optimization Theory and Applications
1 SIAM Journal on Numerical Analysis
1 Acta Applicandae Mathematicae
1 Sequential Analysis
1 MCSS. Mathematics of Control, Signals, and Systems
1 Neural Networks
1 Journal of Global Optimization
1 Numerical Algorithms
1 European Journal of Operational Research
1 Proceedings of the National Academy of Sciences of the United States of America
1 International Journal of Robust and Nonlinear Control
1 Advances in Applied Clifford Algebras
1 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki
1 European Journal of Mechanics. B. Fluids
1 Computational Geosciences
1 Quantitative Finance
1 Journal of Statistical Mechanics: Theory and Experiment
1 Applied Mathematics and Nonlinear Sciences
1 Bollettino dell’Unione Matematica Italiana
1 Electronic Research Archive
all top 5

Cited in 34 Fields

119 Dynamical systems and ergodic theory (37-XX)
115 Fluid mechanics (76-XX)
109 Numerical analysis (65-XX)
54 Computer science (68-XX)
45 Statistics (62-XX)
43 Partial differential equations (35-XX)
35 Systems theory; control (93-XX)
20 Ordinary differential equations (34-XX)
19 Probability theory and stochastic processes (60-XX)
16 Operator theory (47-XX)
16 Biology and other natural sciences (92-XX)
15 Mechanics of deformable solids (74-XX)
10 Operations research, mathematical programming (90-XX)
10 Information and communication theory, circuits (94-XX)
9 Mechanics of particles and systems (70-XX)
8 Calculus of variations and optimal control; optimization (49-XX)
8 Geophysics (86-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
4 Statistical mechanics, structure of matter (82-XX)
3 Combinatorics (05-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Classical thermodynamics, heat transfer (80-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Quantum theory (81-XX)
1 General and overarching topics; collections (00-XX)
1 Mathematical logic and foundations (03-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Approximations and expansions (41-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Integral equations (45-XX)
1 Functional analysis (46-XX)
1 Differential geometry (53-XX)
1 Optics, electromagnetic theory (78-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year