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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
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

Publications by Year

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 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