Edit Profile (opens in new tab) Brunton, Steven L. Co-Author Distance Author ID: brunton.steven-l Published as: Brunton, Steven L.; Brunton, S. L. External Links: MGP Documents Indexed: 118 Publications since 2010, including 4 Books and 57 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 158 Co-Authors with 119 Joint Publications 1,829 Co-Co-Authors all top 5 Co-Authors 0 single-authored 82 Kutz, J. Nathan 14 Kaiser, Eurika 14 Proctor, Joshua L. 13 Brunton, Bingni Wen 7 Manohar, Krithika 7 Noack, Bernd R. 6 Fasel, Urban 6 Loiseau, Jean-Christophe 5 Baddoo, Peter Jonathan 5 Herrmann, Benjamin 5 McKeon, Beverley J. 5 Taira, Kunihiko 4 Aravkin, Aleksandr Y. 4 Bramburger, Jason J. 4 Champion, Kathleen P. 4 de Silva, Brian M. 4 Erichson, N. Benjamin 4 Kaheman, Kadierdan 4 Nair, Aditya G. 4 Rowley, Clarence Worth 3 Askham, Travis 3 Callaham, Jared L. 3 Clark, Emily 3 Krishna, Kartik 3 Lusch, Bethany 3 Mangan, Niall M. 3 Mendible, Ariana 3 Rudy, Samuel H. 3 Semaan, Richard 3 Song, Zhuoyuan 3 Tu, Jonathan H. 2 Bai, Zhe 2 Dawson, Scott T. M. 2 Duriez, Thomas 2 Ichinaga, Sara M. 2 Kutz, Nathan 2 Lange, Henning 2 Liu, Yuying 2 Luchtenburg, Dirk M. 2 Mathelin, Lionel 2 Peitz, Sebastian 2 Sargsyan, Syuzanna 2 Shea, Daniel E. 2 Strom, Benjamin 2 Zheng, Peng 2 Zolman, Nicholas 1 Abdo, Mohammad G. 1 Abel, Markus 1 Alla, Alessandro 1 Andreuzzi, Francesco 1 Bakarji, Joseph 1 Bieker, Katharina 1 Blom-Schieber, Agnes 1 Bonnet, Jean-Paul 1 Bright, Ido 1 Brune, Christoph 1 Budišić, Marko 1 Buttrick, James 1 Calderoni, Pattrick 1 Carlberg, Kevin T. 1 Chapron, Bertrand 1 Chidananda, Vikas 1 Cogliati, Joshua J. 1 Collard, Fabrice 1 Conger, Lauren 1 Conti, Paolo 1 Cordier, Laurent 1 Daniel, Thomas L. 1 Daviller, Guillaume 1 Dellnitz, Michael 1 Demo, Nicola 1 Fablet, Ronan 1 Fehr, Jörg 1 Fonzi, Nicola 1 Frangi, Attilio 1 Fu, Xing 1 Gao, L. Mars 1 Gaultier, Lucile 1 Gin, Craig R. 1 Ginger, David S. 1 Giridharagopal, Rajiv 1 Goebel, Nicholas 1 Gopalakrishnan Meena, Muralikrishnan 1 Guo, Mengwu 1 Hansen, Emma 1 Hempel, Tim 1 Hirsh, Seth M. 1 Hoffmann, Moritz 1 Husic, Brooke E. 1 Ianiro, Andrea 1 Iliopoulos, Athanasios P. 1 Johnson, Mikala C. 1 Kalia, Manu 1 Kamb, Mason 1 Kaptanoglu, Alan A. 1 Karnik, Niharika 1 Klemisch, Jennifer 1 Klus, Stefan 1 Kneifl, Jonas 1 Koch, James V. ...and 58 more Co-Authors all top 5 Serials 12 Journal of Fluid Mechanics 8 SIAM Journal on Applied Dynamical Systems 6 Journal of Computational Physics 5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 Physica D 2 Proceedings of the National Academy of Sciences of the United States of America 2 SIAM Journal on Applied Mathematics 2 Journal of Computational Dynamics 1 Wave Motion 1 IEEE Transactions on Automatic Control 1 European Journal of Applied Mathematics 1 SIAM Review 1 SIAM Journal on Scientific Computing 1 Complexity 1 Nonlinear Dynamics 1 Chaos 1 IEEE Transactions on Antennas and Propagation 1 Journal of Machine Learning Research (JMLR) 1 Multiscale Modeling & Simulation 1 Fluid Mechanics and its Applications 1 Other Titles in Applied Mathematics 1 IEEE Control Systems all top 5 Fields 34 Dynamical systems and ergodic theory (37-XX) 27 Fluid mechanics (76-XX) 19 Numerical analysis (65-XX) 18 Computer science (68-XX) 16 Systems theory; control (93-XX) 9 Statistics (62-XX) 8 Ordinary differential equations (34-XX) 7 Information and communication theory, circuits (94-XX) 6 Partial differential equations (35-XX) 4 General and overarching topics; collections (00-XX) 4 Operator theory (47-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Mechanics of particles and systems (70-XX) 3 Biology and other natural sciences (92-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Optics, electromagnetic theory (78-XX) 1 Topological groups, Lie groups (22-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 52 Publications have been cited 1,945 times in 984 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 422 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 201 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. 184 2016 Machine learning for fluid mechanics. Zbl 1439.76138 Brunton, Steven L.; Noack, Bernd R.; Koumoutsakos, Petros 142 2020 Data-driven science and engineering. Machine learning, dynamical systems, and control. Zbl 1407.68002 Brunton, Steven L.; Kutz, J. Nathan 106 2019 Dynamic mode decomposition with control. Zbl 1334.65199 Proctor, Joshua L.; Brunton, Steven L.; Kutz, J. Nathan 97 2016 Data-driven discovery of coordinates and governing equations. Zbl 1433.68396 Champion, Kathleen; Lusch, Bethany; Kutz, Nathan; Brunton, Steven L. 58 2019 Multiresolution dynamic mode decomposition. Zbl 1338.37121 Kutz, J. Nathan; Fu, Xing; Brunton, Steven L. 51 2016 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. 51 2018 Data-driven identification of parametric partial differential equations. Zbl 1456.65096 Rudy, Samuel; Alla, Alessandro; Brunton, Steven L.; Kutz, J. Nathan 51 2019 Constrained sparse Galerkin regression. Zbl 1419.76205 Loiseau, Jean-Christophe; Brunton, Steven L. 48 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. 43 2017 Deep learning of dynamics and signal-noise decomposition with time-stepping constraints. Zbl 1452.68170 Rudy, Samuel H.; Nathan Kutz, J.; Brunton, Steven L. 36 2019 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 30 2014 Fast computation of finite-time Lyapunov exponent fields for unsteady flows. Zbl 1311.76102 Brunton, Steven L.; Rowley, Clarence W. 30 2010 Sparse reduced-order modelling: sensor-based dynamics to full-state estimation. Zbl 1461.76369 Loiseau, Jean-Christophe; Noack, Bernd R.; Brunton, Steven L. 28 2018 Sparse sensor placement optimization for classification. Zbl 1350.49037 Brunton, B. W.; Brunton, S. L.; Proctor, J. L.; Kutz, J. N. 28 2016 Data-driven sparse sensor placement for reconstruction: demonstrating the benefits of exploiting known patterns. Zbl 1477.93128 Manohar, Krithika; Brunton, Bingni W.; Kutz, J. Nathan; Brunton, Steven L. 28 2018 Compressed sensing and dynamic mode decomposition. Zbl 1347.94012 Kutz, J. Nathan; Tu, Jonathan H.; Proctor, Joshua L.; Brunton, Steven L. 27 2015 Generalizing Koopman theory to allow for inputs and control. Zbl 1390.93226 Proctor, Joshua L.; Brunton, Steven L.; Kutz, J. Nathan 23 2018 Machine learning control – taming nonlinear dynamics and turbulence. Zbl 1349.76001 Duriez, Thomas; Brunton, Steven L.; Noack, Bernd R. 22 2017 Network structure of two-dimensional decaying isotropic turbulence. Zbl 1359.76124 Taira, Kunihiko; Nair, Aditya G.; Brunton, Steven L. 19 2016 Modern Koopman theory for dynamical systems. Zbl 1497.37105 Brunton, Steven L.; Budišić, Marko; Kaiser, Eurika; Kutz, J. Nathan 18 2022 SINDy-PI: a robust algorithm for parallel implicit sparse identification of nonlinear dynamics. Zbl 1473.93007 Kaheman, Kadierdan; Kutz, J. Nathan; Brunton, Steven L. 16 2020 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. 16 2018 Randomized dynamic mode decomposition. Zbl 1427.65410 Erichson, N. Benjamin; Mathelin, Lionel; Kutz, J. Nathan; Brunton, Steven L. 15 2019 Discovery of nonlinear multiscale systems: sampling strategies and embeddings. Zbl 1474.65476 Champion, Kathleen P.; Brunton, Steven L.; Kutz, J. Nathan 15 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. 13 2019 Data-driven resolvent analysis. Zbl 1487.76065 Herrmann, Benjamin; Baddoo, Peter J.; Semaan, Richard; Brunton, Steven L.; McKeon, Beverley J. 12 2021 Time-delay observables for Koopman: theory and applications. Zbl 1441.37090 Kamb, Mason; Kaiser, Eurika; Brunton, Steven L.; Kutz, J. Nathan 12 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. 11 2020 Reduced-order unsteady aerodynamic models at low Reynolds numbers. Zbl 1287.76078 Brunton, Steven L.; Rowley, Clarence W.; Williams, David R. 11 2013 Data-driven science and engineering. Machine learning, dynamical systems, and control. 2nd edition. Zbl 1487.68001 Brunton, Steven L.; Kutz, J. Nathan 10 2022 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 10 2019 Shallow neural networks for fluid flow reconstruction with limited sensors. Zbl 1472.68172 Erichson, N. Benjamin; Mathelin, Lionel; Yao, Zhewei; Brunton, Steven L.; Mahoney, Michael W.; Kutz, J. Nathan 8 2020 Long-time uncertainty propagation using generalized polynomial chaos and flow map composition. Zbl 1351.37262 Luchtenburg, Dirk M.; Brunton, Steven L.; Rowley, Clarence W. 7 2014 Deep learning models for global coordinate transformations that linearise PDEs. Zbl 1479.35021 Gin, Craig; Lusch, Bethany; Brunton, Steven L.; Kutz, J. Nathan 5 2021 From the POD-Galerkin method to sparse manifold models. Zbl 1471.76057 Loiseau, Jean-Christophe; Brunton, Steven L.; Noack, Bernd R. 5 2021 From Fourier to Koopman: spectral methods for long-term time series prediction. Zbl 07370558 Lange, Henning; Brunton, Steven L.; Kutz, J. Nathan 5 2021 On the role of nonlinear correlations in reduced-order modelling. Zbl 07488219 Callaham, Jared L.; Brunton, Steven L.; Loiseau, Jean-Christophe 5 2022 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. 4 2018 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. 4 2016 Data-driven approximations of dynamical systems operators for control. Zbl 1453.93047 Kaiser, Eurika; Kutz, J. Nathan; Brunton, Steven L. 3 2020 Optimal sensor and actuator selection using balanced model reduction. Zbl 07564832 Manohar, Krithika; Kutz, J. Nathan; Brunton, Steven L. 3 2022 Optimized sampling for multiscale dynamics. Zbl 07033871 Manohar, Krithika; Kaiser, Eurika; Brunton, Steven L.; Kutz, J. Nathan 2 2019 Parsimony as the ultimate regularizer for physics-informed machine learning. Zbl 1517.68337 Kutz, J. Nathan; Brunton, Steven L. 2 2022 Deep learning of conjugate mappings. Zbl 1491.37074 Bramburger, Jason J.; Brunton, Steven L.; Nathan Kutz, J. 2 2021 Phase-based control of periodic flows. Zbl 1494.76033 Nair, Aditya G.; Taira, Kunihiko; Brunton, Bingni W.; Brunton, Steven L. 2 2021 Online interpolation point refinement for reduced-order models using a genetic algorithm. Zbl 1383.65123 Sargsyan, Syuzanna; Brunton, Steven L.; Kutz, J. Nathan 1 2018 Smoothing and parameter estimation by soft-adherence to governing equations. Zbl 1453.62399 Rudy, Samuel H.; Brunton, Steven L.; Kutz, J. Nathan 1 2019 Data-driven fluid mechanics. Combining first principles and machine learning. Based on a von Karman Institute Lecture Series. Zbl 1508.76003 1 2023 Near-wake dynamics of a vertical-axis turbine. Zbl 07465426 Strom, Benjamin; Polagye, Brian; Brunton, Steven L. 1 2022 Data-driven fluid mechanics. Combining first principles and machine learning. Based on a von Karman Institute Lecture Series. Zbl 1508.76003 1 2023 Modern Koopman theory for dynamical systems. Zbl 1497.37105 Brunton, Steven L.; Budišić, Marko; Kaiser, Eurika; Kutz, J. Nathan 18 2022 Data-driven science and engineering. Machine learning, dynamical systems, and control. 2nd edition. Zbl 1487.68001 Brunton, Steven L.; Kutz, J. Nathan 10 2022 On the role of nonlinear correlations in reduced-order modelling. Zbl 07488219 Callaham, Jared L.; Brunton, Steven L.; Loiseau, Jean-Christophe 5 2022 Optimal sensor and actuator selection using balanced model reduction. Zbl 07564832 Manohar, Krithika; Kutz, J. Nathan; Brunton, Steven L. 3 2022 Parsimony as the ultimate regularizer for physics-informed machine learning. Zbl 1517.68337 Kutz, J. Nathan; Brunton, Steven L. 2 2022 Near-wake dynamics of a vertical-axis turbine. Zbl 07465426 Strom, Benjamin; Polagye, Brian; Brunton, Steven L. 1 2022 Data-driven resolvent analysis. Zbl 1487.76065 Herrmann, Benjamin; Baddoo, Peter J.; Semaan, Richard; Brunton, Steven L.; McKeon, Beverley J. 12 2021 Deep learning models for global coordinate transformations that linearise PDEs. Zbl 1479.35021 Gin, Craig; Lusch, Bethany; Brunton, Steven L.; Kutz, J. Nathan 5 2021 From the POD-Galerkin method to sparse manifold models. Zbl 1471.76057 Loiseau, Jean-Christophe; Brunton, Steven L.; Noack, Bernd R. 5 2021 From Fourier to Koopman: spectral methods for long-term time series prediction. Zbl 07370558 Lange, Henning; Brunton, Steven L.; Kutz, J. Nathan 5 2021 Deep learning of conjugate mappings. Zbl 1491.37074 Bramburger, Jason J.; Brunton, Steven L.; Nathan Kutz, J. 2 2021 Phase-based control of periodic flows. Zbl 1494.76033 Nair, Aditya G.; Taira, Kunihiko; Brunton, Bingni W.; Brunton, Steven L. 2 2021 Machine learning for fluid mechanics. Zbl 1439.76138 Brunton, Steven L.; Noack, Bernd R.; Koumoutsakos, Petros 142 2020 SINDy-PI: a robust algorithm for parallel implicit sparse identification of nonlinear dynamics. Zbl 1473.93007 Kaheman, Kadierdan; Kutz, J. Nathan; Brunton, Steven L. 16 2020 Time-delay observables for Koopman: theory and applications. Zbl 1441.37090 Kamb, Mason; Kaiser, Eurika; Brunton, Steven L.; Kutz, J. Nathan 12 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. 11 2020 Shallow neural networks for fluid flow reconstruction with limited sensors. Zbl 1472.68172 Erichson, N. Benjamin; Mathelin, Lionel; Yao, Zhewei; Brunton, Steven L.; Mahoney, Michael W.; Kutz, J. Nathan 8 2020 Data-driven approximations of dynamical systems operators for control. Zbl 1453.93047 Kaiser, Eurika; Kutz, J. Nathan; Brunton, Steven L. 3 2020 Data-driven science and engineering. Machine learning, dynamical systems, and control. Zbl 1407.68002 Brunton, Steven L.; Kutz, J. Nathan 106 2019 Data-driven discovery of coordinates and governing equations. Zbl 1433.68396 Champion, Kathleen; Lusch, Bethany; Kutz, Nathan; Brunton, Steven L. 58 2019 Data-driven identification of parametric partial differential equations. Zbl 1456.65096 Rudy, Samuel; Alla, Alessandro; Brunton, Steven L.; Kutz, J. Nathan 51 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. 36 2019 Randomized dynamic mode decomposition. Zbl 1427.65410 Erichson, N. Benjamin; Mathelin, Lionel; Kutz, J. Nathan; Brunton, Steven L. 15 2019 Discovery of nonlinear multiscale systems: sampling strategies and embeddings. Zbl 1474.65476 Champion, Kathleen P.; Brunton, Steven L.; Kutz, J. Nathan 15 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. 13 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 10 2019 Optimized sampling for multiscale dynamics. Zbl 07033871 Manohar, Krithika; Kaiser, Eurika; Brunton, Steven L.; Kutz, J. Nathan 2 2019 Smoothing and parameter estimation by soft-adherence to governing equations. Zbl 1453.62399 Rudy, Samuel H.; Brunton, Steven L.; Kutz, J. Nathan 1 2019 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. 51 2018 Constrained sparse Galerkin regression. Zbl 1419.76205 Loiseau, Jean-Christophe; Brunton, Steven L. 48 2018 Sparse reduced-order modelling: sensor-based dynamics to full-state estimation. Zbl 1461.76369 Loiseau, Jean-Christophe; Noack, Bernd R.; Brunton, Steven L. 28 2018 Data-driven sparse sensor placement for reconstruction: demonstrating the benefits of exploiting known patterns. Zbl 1477.93128 Manohar, Krithika; Brunton, Bingni W.; Kutz, J. Nathan; Brunton, Steven L. 28 2018 Generalizing Koopman theory to allow for inputs and control. Zbl 1390.93226 Proctor, Joshua L.; Brunton, Steven L.; Kutz, J. Nathan 23 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. 16 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. 4 2018 Online interpolation point refinement for reduced-order models using a genetic algorithm. Zbl 1383.65123 Sargsyan, Syuzanna; Brunton, Steven L.; Kutz, J. Nathan 1 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. 43 2017 Machine learning control – taming nonlinear dynamics and turbulence. Zbl 1349.76001 Duriez, Thomas; Brunton, Steven L.; Noack, Bernd R. 22 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 422 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. 184 2016 Dynamic mode decomposition with control. Zbl 1334.65199 Proctor, Joshua L.; Brunton, Steven L.; Kutz, J. Nathan 97 2016 Multiresolution dynamic mode decomposition. Zbl 1338.37121 Kutz, J. Nathan; Fu, Xing; Brunton, Steven L. 51 2016 Sparse sensor placement optimization for classification. Zbl 1350.49037 Brunton, B. W.; Brunton, S. L.; Proctor, J. L.; Kutz, J. N. 28 2016 Network structure of two-dimensional decaying isotropic turbulence. Zbl 1359.76124 Taira, Kunihiko; Nair, Aditya G.; Brunton, Steven L. 19 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. 4 2016 Compressed sensing and dynamic mode decomposition. Zbl 1347.94012 Kutz, J. Nathan; Tu, Jonathan H.; Proctor, Joshua L.; Brunton, Steven L. 27 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 201 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 30 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. 7 2014 Reduced-order unsteady aerodynamic models at low Reynolds numbers. Zbl 1287.76078 Brunton, Steven L.; Rowley, Clarence W.; Williams, David R. 11 2013 Fast computation of finite-time Lyapunov exponent fields for unsteady flows. Zbl 1311.76102 Brunton, Steven L.; Rowley, Clarence W. 30 2010 all cited Publications top 5 cited Publications all top 5 Cited by 2,047 Authors 44 Brunton, Steven L. 43 Kutz, J. Nathan 16 Noack, Bernd R. 16 Peherstorfer, Benjamin 15 Karniadakis, George Em 14 Rozza, Gianluigi 13 Kevrekidis, Ioannis George 13 Mezić, Igor 13 Rowley, Clarence Worth 13 Willcox, Karen E. 10 Hesthaven, Jan S. 10 Klus, Stefan 10 Peitz, Sebastian 10 San, Omer 10 Xiu, Dongbin 9 Chinesta, Francisco 9 Duan, Jinqiao 9 Iliescu, Traian 9 Lin, Guang 8 Giannakis, Dimitrios 8 Kaiser, Eurika 8 Morzyński, Marek 8 Proctor, Joshua L. 8 Schaeffer, Hayden 8 Taira, Kunihiko 7 Bollt, Erik M. 7 Cueto, Elias 7 Krämer, Boris 7 Le Clainche, Soledad 7 Sapsis, Themistoklis P. 7 Schütte, Christof 7 Wu, Kailiang 6 Alla, Alessandro 6 Benner, Peter 6 Brunton, Bingni Wen 6 Duraisamy, Karthik 6 Kang, Sung Ha 6 Lermusiaux, Pierre F. J. 6 Loiseau, Jean-Christophe 6 Maulik, Romit 6 Perdikaris, Paris G. 6 Raissi, Maziar 6 Tran, Giang N. 6 Vega, José Manuel 6 Wilson, Dan D. 6 Zhang, Dongxiao 5 Chen, Zhen 5 Das, Suddhasattwa 5 Dietrich, Felix 5 Li, Yang 5 Liao, Wenjing 5 Mathelin, Lionel 5 Mou, Changhong 5 Nüske, Feliks 5 Pan, Shaowu 5 Rudy, Samuel H. 5 Semaan, Richard 5 Tartakovsky, Daniel M. 4 Abisset-Chavanne, Emmanuelle 4 Adams, Nikolaus A. 4 Ahmed, Shady E. 4 Babaee, Hessam 4 Balasuriya, Sanjeeva 4 Bortz, David M. 4 Chakraborty, Souvik 4 Chang, Haibin 4 Deng, Nan 4 Drmač, Zlatko 4 Erichson, N. Benjamin 4 Fukagata, Koji 4 Fukami, Kai 4 He, Yuchen 4 Huang, Juntao 4 Ibañez, Ruben 4 Jiang, Lijian 4 Karasözen, Bülent 4 Koltai, Péter 4 Koutsourelakis, Phaedon-Stelios 4 Kumar, Siddhant 4 Leung, Shingyu 4 Liu, Yingjie 4 Livescu, Daniel 4 Lu, Hannah 4 Maggioni, Mauro 4 Manzoni, Andrea 4 Mauroy, Alexandre 4 Messenger, Daniel A. 4 Navon, Ionel Michael 4 Quaini, Annalisa 4 Stabile, Giovanni 4 Uy, Wayne Isaac Tan 4 Wang, Jianxun 4 Wang, Yuepeng 4 Ward, Rachel A. 4 Xu, Hao 4 Zhang, Linan 3 Ammar, Amine 3 Aravkin, Aleksandr Y. 3 Askham, Travis 3 Bramburger, Jason J. ...and 1,947 more Authors all top 5 Cited in 157 Serials 158 Journal of Computational Physics 129 Journal of Fluid Mechanics 73 Computer Methods in Applied Mechanics and Engineering 58 SIAM Journal on Applied Dynamical Systems 43 Physica D 38 SIAM Journal on Scientific Computing 31 Chaos 29 Computers and Fluids 18 Journal of Scientific Computing 18 Journal of Nonlinear Science 13 Automatica 13 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 11 Nonlinear Dynamics 10 Computational Mechanics 10 Journal of Computational Dynamics 9 Physica A 9 International Journal of Computational Fluid Dynamics 9 Communications in Computational Physics 8 Computers & Mathematics with Applications 8 Communications in Nonlinear Science and Numerical Simulation 8 Multiscale Modeling & Simulation 8 SIAM/ASA Journal on Uncertainty Quantification 7 Advances in Computational Mathematics 6 Inverse Problems 6 Journal of Computational and Applied Mathematics 6 SIAM Review 6 International Journal of Robust and Nonlinear Control 5 Applied and Computational Harmonic Analysis 5 ETNA. Electronic Transactions on Numerical Analysis 5 GAMM-Mitteilungen 4 Computer Physics Communications 4 Journal of Statistical Physics 4 Bulletin of Mathematical Biology 4 Applied Mathematics and Computation 4 International Journal for Numerical Methods in Engineering 4 Neural Networks 4 SIAM Journal on Applied Mathematics 4 European Journal of Mechanics. B. Fluids 4 Computational Geosciences 4 Journal of Machine Learning Research (JMLR) 3 Biological Cybernetics 3 Journal of the Franklin Institute 3 SIAM Journal on Numerical Analysis 3 Applied Mathematical Modelling 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Computational and Applied Mathematics 3 Complexity 3 Stochastics and Dynamics 3 Acta Numerica 3 Journal of Statistical Mechanics: Theory and Experiment 3 Journal of Physics A: Mathematical and Theoretical 3 Discrete and Continuous Dynamical Systems. Series S 2 Acta Mechanica 2 International Journal of Control 2 Journal of Mathematical Biology 2 Nonlinearity 2 Physics Letters. A 2 Mathematics and Computers in Simulation 2 Meccanica 2 SIAM Journal on Control and Optimization 2 European Journal of Applied Mathematics 2 Machine Learning 2 Journal of Global Optimization 2 Proceedings of the National Academy of Sciences of the United States of America 2 SIAM Journal on Mathematical Analysis 2 Physics of Fluids 2 Engineering Analysis with Boundary Elements 2 Multibody System Dynamics 2 European Journal of Mechanics. A. Solids 2 Archives of Computational Methods in Engineering 2 Analysis and Applications (Singapore) 2 Oberwolfach Reports 2 Advances in Data Analysis and Classification. ADAC 2 SIAM Journal on Imaging Sciences 2 International Journal of Systems Science. Principles and Applications of Systems and Integration 2 Applied Mathematics and Nonlinear Sciences 2 SIAM Journal on Mathematics of Data Science 2 Sampling Theory, Signal Processing, and Data Analysis 1 Archives of Mechanics 1 Communications on Pure and Applied Mathematics 1 International Journal of Engineering Science 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 Physics Reports 1 Wave Motion 1 Mathematics of Computation 1 Chaos, Solitons and Fractals 1 ACM Transactions on Mathematical Software 1 Applied Mathematics and Optimization 1 Calcolo 1 Information Sciences 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of the American Statistical Association 1 Journal of Approximation Theory 1 Journal of Optimization Theory and Applications 1 Optimal Control Applications & Methods 1 Systems & Control Letters 1 Acta Applicandae Mathematicae 1 Applied Numerical Mathematics 1 Sequential Analysis ...and 57 more Serials all top 5 Cited in 46 Fields 344 Numerical analysis (65-XX) 324 Fluid mechanics (76-XX) 271 Computer science (68-XX) 235 Dynamical systems and ergodic theory (37-XX) 127 Systems theory; control (93-XX) 125 Statistics (62-XX) 124 Partial differential equations (35-XX) 60 Biology and other natural sciences (92-XX) 55 Mechanics of deformable solids (74-XX) 46 Probability theory and stochastic processes (60-XX) 35 Operations research, mathematical programming (90-XX) 33 Ordinary differential equations (34-XX) 33 Operator theory (47-XX) 33 Statistical mechanics, structure of matter (82-XX) 27 Mechanics of particles and systems (70-XX) 27 Geophysics (86-XX) 25 Information and communication theory, circuits (94-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 14 Classical thermodynamics, heat transfer (80-XX) 7 Approximations and expansions (41-XX) 7 Optics, electromagnetic theory (78-XX) 7 Quantum theory (81-XX) 6 Combinatorics (05-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 General and overarching topics; collections (00-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Functional analysis (46-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Astronomy and astrophysics (85-XX) 3 Integral equations (45-XX) 3 Differential geometry (53-XX) 2 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Relativity and gravitational theory (83-XX) 1 Mathematics education (97-XX) Citations by Year