Edit Profile (opens in new tab) Carlberg, Kevin T. Co-Author Distance Author ID: carlberg.kevin-t Published as: Carlberg, Kevin; Carlberg, Kevin T.; Carlberg, K. T. more...less Documents Indexed: 34 Publications since 2009, including 6 Additional arXiv Preprints Co-Authors: 65 Co-Authors with 33 Joint Publications 1,428 Co-Co-Authors all top 5 Co-Authors 1 single-authored 5 Farhat, Charbel H. 3 Amsallem, David 3 Chen, Peter Yichen 3 Chiaramonte, Maurizio M. 3 Choi, Youngsoo 3 Cortial, Julien 3 Grinspun, Eitan 2 Guzzetti, Sofia 2 Lee, Kookjin 2 Parish, Eric J. 2 Peng, Liqian 2 Tuminaro, Ray S. 1 Antil, Harbir 1 Balandat, Maximilian 1 Barone, Matthew F. 1 Barth, Andrea 1 Blanco, Pablo Javier 1 Boggs, Paul T. 1 Bou-Mosleh, Charbel 1 Brencher, Lukas 1 Brunton, Steven L. 1 Chang, Yue 1 Cho, Dong Heon 1 Drohmann, Martin 1 Durlofsky, Louis J. 1 Elman, Howard C. 1 Etter, Philip A. 1 Fike, Jeffrey A. 1 Forstall, Virginia 1 Freno, Brian A. 1 Haasdonk, Bernard 1 Hoang, Chi 1 Iliopoulos, Athanasios P. 1 Jameson, Antony 1 Jiang, Chenfanfu 1 Khalil, Mohammad 1 Kochenderfer, Mykel J. 1 Kouri, Drew P. 1 Law, Kody J. H. 1 Li, Minchen 1 Li, Xuan 1 Lindsay, Payton 1 Maia, Henrique Teles 1 Mansilla Alvarez, L. A. 1 Manzoni, Andrea 1 Matusik, Wojciech 1 Michopoulos, John G. 1 Morton, Jeremy 1 Pagani, Stefano 1 Pershing, G A 1 Ray, Jaideep 1 Rodriguez, Steven N. 1 Sargsyan, Khachik V. 1 Sargsyan, Syuzanna 1 Scherer, Stefan 1 Steuben, John C. 1 Tezaur, Irina 1 Trehan, Sumeet 1 Walton, Neil S. 1 Witherden, Freddie D. 1 Xiang, Jinxu 1 Yang, Shangda 1 Zahr, Matthew J. 1 Zankin, Vitaly 1 Zong, Zeshun all top 5 Serials 9 Journal of Computational Physics 6 Computer Methods in Applied Mechanics and Engineering 5 International Journal for Numerical Methods in Engineering 3 SIAM Journal on Scientific Computing 3 SIAM/ASA Journal on Uncertainty Quantification 1 SIAM Journal on Matrix Analysis and Applications 1 International Journal for Uncertainty Quantification all top 5 Fields 24 Numerical analysis (65-XX) 8 Fluid mechanics (76-XX) 4 Partial differential equations (35-XX) 4 Mechanics of deformable solids (74-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Statistics (62-XX) 3 Computer science (68-XX) 3 Systems theory; control (93-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Probability theory and stochastic processes (60-XX) 1 Ordinary differential equations (34-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-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 26 Publications have been cited 1,011 times in 560 Documents Cited by ▼ Year ▼ The GNAT method for nonlinear model reduction: effective implementation and application to computational fluid dynamics and turbulent flows. Zbl 1299.76180 Carlberg, Kevin; Farhat, Charbel; Cortial, Julien; Amsallem, David 188 2013 Efficient non linear model reduction via a least-squares Petrov-Galerkin projection and compressive tensor approximations. Zbl 1235.74351 Carlberg, Kevin; Bou-Mosleh, Charbel; Farhat, Charbel 183 2011 Model reduction of dynamical systems on nonlinear manifolds using deep convolutional autoencoders. Zbl 1454.65184 Lee, Kookjin; Carlberg, Kevin T. 129 2020 Galerkin v. least-squares Petrov-Galerkin projection in nonlinear model reduction. Zbl 1378.65145 Carlberg, Kevin; Barone, Matthew; Antil, Harbir 86 2017 A method for interpolating on manifolds structural dynamics reduced-order models. Zbl 1176.74077 Amsallem, David; Cortial, Julien; Carlberg, Kevin; Farhat, Charbel 71 2009 Adaptive \(h\)-refinement for reduced-order models. Zbl 1352.65136 Carlberg, Kevin 60 2015 Preserving Lagrangian structure in nonlinear model reduction with application to structural dynamics. Zbl 1320.65193 Carlberg, Kevin; Tuminaro, Ray; Boggs, Paul 54 2015 A low-cost, goal-oriented ‘compact proper orthogonal decomposition’ basis for model reduction of static systems. Zbl 1235.74352 Carlberg, Kevin; Farhat, Charbel 40 2011 Conservative model reduction for finite-volume models. Zbl 1415.65208 Carlberg, Kevin; Choi, Youngsoo; Sargsyan, Syuzanna 34 2018 Space-time least-squares Petrov-Galerkin projection for nonlinear model reduction. Zbl 1405.65140 Choi, Youngsoo; Carlberg, Kevin 31 2019 The ROMES method for statistical modeling of reduced-order-model error. Zbl 1322.65029 Drohmann, Martin; Carlberg, Kevin 29 2015 An efficient, globally convergent method for optimization under uncertainty using adaptive model reduction and sparse grids. Zbl 1448.65057 Zahr, Matthew J.; Carlberg, Kevin T.; Kouri, Drew P. 14 2019 Krylov-subspace recycling via the POD-augmented conjugate-gradient method. Zbl 1348.15005 Carlberg, Kevin; Forstall, Virginia; Tuminaro, Ray 13 2016 Domain-decomposition least-squares Petrov-Galerkin (DD-LSPG) nonlinear model reduction. Zbl 1507.65242 Hoang, Chi; Choi, Youngsoo; Carlberg, Kevin 13 2021 Online adaptive basis refinement and compression for reduced-order models via vector-space sieving. Zbl 1442.65338 Etter, Philip A.; Carlberg, Kevin T. 12 2020 Machine-learning error models for approximate solutions to parameterized systems of nonlinear equations. Zbl 1440.65058 Freno, Brian A.; Carlberg, Kevin T. 10 2019 Recovering missing CFD data for high-order discretizations using deep neural networks and dynamics learning. Zbl 1452.68147 Carlberg, Kevin T.; Jameson, Antony; Kochenderfer, Mykel J.; Morton, Jeremy; Peng, Liqian; Witherden, Freddie D. 8 2019 Decreasing the temporal complexity for nonlinear, implicit reduced-order models by forecasting. Zbl 1425.65073 Carlberg, Kevin; Ray, Jaideep; van Bloemen Waanders, Bart 8 2015 Propagating uncertainties in large-scale hemodynamics models via network uncertainty quantification and reduced-order modeling. Zbl 1441.76147 Guzzetti, S.; Mansilla Alvarez, L. A.; Blanco, P. J.; Carlberg, K. T.; Veneziani, A. 7 2020 Time-series machine-learning error models for approximate solutions to parameterized dynamical systems. Zbl 1442.65446 Parish, Eric J.; Carlberg, Kevin T. 6 2020 Windowed least-squares model reduction for dynamical systems. Zbl 07510054 Parish, Eric J.; Carlberg, Kevin T. 5 2021 Data-driven time parallelism via forecasting. Zbl 07099294 Carlberg, Kevin; Brencher, Lukas; Haasdonk, Bernard; Barth, Andrea 4 2019 Stochastic least-squares Petrov-Galerkin method for parameterized linear systems. Zbl 1388.35232 Lee, Kookjin; Carlberg, Kevin; Elman, Howard C. 2 2018 Corrigendum to: “The GNAT method for nonlinear model reduction: effective implementation and application to computational fluid dynamics and turbulent flows”. Zbl 1472.76071 Carlberg, Kevin; Farhat, Charbel; Cortial, Julien; Amsallem, David 2 2013 Preconditioned least-squares Petrov-Galerkin reduced order models. Zbl 07769311 Lindsay, Payton; Fike, Jeffrey; Tezaur, Irina; Carlberg, Kevin 1 2022 Statistical closure modeling for reduced-order models of stationary systems by the ROMES method. Zbl 1498.65013 Pagani, S.; Manzoni, A.; Carlberg, K. T. 1 2022 Preconditioned least-squares Petrov-Galerkin reduced order models. Zbl 07769311 Lindsay, Payton; Fike, Jeffrey; Tezaur, Irina; Carlberg, Kevin 1 2022 Statistical closure modeling for reduced-order models of stationary systems by the ROMES method. Zbl 1498.65013 Pagani, S.; Manzoni, A.; Carlberg, K. T. 1 2022 Domain-decomposition least-squares Petrov-Galerkin (DD-LSPG) nonlinear model reduction. Zbl 1507.65242 Hoang, Chi; Choi, Youngsoo; Carlberg, Kevin 13 2021 Windowed least-squares model reduction for dynamical systems. Zbl 07510054 Parish, Eric J.; Carlberg, Kevin T. 5 2021 Model reduction of dynamical systems on nonlinear manifolds using deep convolutional autoencoders. Zbl 1454.65184 Lee, Kookjin; Carlberg, Kevin T. 129 2020 Online adaptive basis refinement and compression for reduced-order models via vector-space sieving. Zbl 1442.65338 Etter, Philip A.; Carlberg, Kevin T. 12 2020 Propagating uncertainties in large-scale hemodynamics models via network uncertainty quantification and reduced-order modeling. Zbl 1441.76147 Guzzetti, S.; Mansilla Alvarez, L. A.; Blanco, P. J.; Carlberg, K. T.; Veneziani, A. 7 2020 Time-series machine-learning error models for approximate solutions to parameterized dynamical systems. Zbl 1442.65446 Parish, Eric J.; Carlberg, Kevin T. 6 2020 Space-time least-squares Petrov-Galerkin projection for nonlinear model reduction. Zbl 1405.65140 Choi, Youngsoo; Carlberg, Kevin 31 2019 An efficient, globally convergent method for optimization under uncertainty using adaptive model reduction and sparse grids. Zbl 1448.65057 Zahr, Matthew J.; Carlberg, Kevin T.; Kouri, Drew P. 14 2019 Machine-learning error models for approximate solutions to parameterized systems of nonlinear equations. Zbl 1440.65058 Freno, Brian A.; Carlberg, Kevin T. 10 2019 Recovering missing CFD data for high-order discretizations using deep neural networks and dynamics learning. Zbl 1452.68147 Carlberg, Kevin T.; Jameson, Antony; Kochenderfer, Mykel J.; Morton, Jeremy; Peng, Liqian; Witherden, Freddie D. 8 2019 Data-driven time parallelism via forecasting. Zbl 07099294 Carlberg, Kevin; Brencher, Lukas; Haasdonk, Bernard; Barth, Andrea 4 2019 Conservative model reduction for finite-volume models. Zbl 1415.65208 Carlberg, Kevin; Choi, Youngsoo; Sargsyan, Syuzanna 34 2018 Stochastic least-squares Petrov-Galerkin method for parameterized linear systems. Zbl 1388.35232 Lee, Kookjin; Carlberg, Kevin; Elman, Howard C. 2 2018 Galerkin v. least-squares Petrov-Galerkin projection in nonlinear model reduction. Zbl 1378.65145 Carlberg, Kevin; Barone, Matthew; Antil, Harbir 86 2017 Krylov-subspace recycling via the POD-augmented conjugate-gradient method. Zbl 1348.15005 Carlberg, Kevin; Forstall, Virginia; Tuminaro, Ray 13 2016 Adaptive \(h\)-refinement for reduced-order models. Zbl 1352.65136 Carlberg, Kevin 60 2015 Preserving Lagrangian structure in nonlinear model reduction with application to structural dynamics. Zbl 1320.65193 Carlberg, Kevin; Tuminaro, Ray; Boggs, Paul 54 2015 The ROMES method for statistical modeling of reduced-order-model error. Zbl 1322.65029 Drohmann, Martin; Carlberg, Kevin 29 2015 Decreasing the temporal complexity for nonlinear, implicit reduced-order models by forecasting. Zbl 1425.65073 Carlberg, Kevin; Ray, Jaideep; van Bloemen Waanders, Bart 8 2015 The GNAT method for nonlinear model reduction: effective implementation and application to computational fluid dynamics and turbulent flows. Zbl 1299.76180 Carlberg, Kevin; Farhat, Charbel; Cortial, Julien; Amsallem, David 188 2013 Corrigendum to: “The GNAT method for nonlinear model reduction: effective implementation and application to computational fluid dynamics and turbulent flows”. Zbl 1472.76071 Carlberg, Kevin; Farhat, Charbel; Cortial, Julien; Amsallem, David 2 2013 Efficient non linear model reduction via a least-squares Petrov-Galerkin projection and compressive tensor approximations. Zbl 1235.74351 Carlberg, Kevin; Bou-Mosleh, Charbel; Farhat, Charbel 183 2011 A low-cost, goal-oriented ‘compact proper orthogonal decomposition’ basis for model reduction of static systems. Zbl 1235.74352 Carlberg, Kevin; Farhat, Charbel 40 2011 A method for interpolating on manifolds structural dynamics reduced-order models. Zbl 1176.74077 Amsallem, David; Cortial, Julien; Carlberg, Kevin; Farhat, Charbel 71 2009 all cited Publications top 5 cited Publications all top 5 Cited by 960 Authors 31 Rozza, Gianluigi 25 Manzoni, Andrea 24 Carlberg, Kevin T. 22 Farhat, Charbel H. 20 Hesthaven, Jan S. 20 Stabile, Giovanni 16 Iliescu, Traian 15 Brunton, Steven L. 14 Taddei, Tommaso 13 Amsallem, David 13 Choi, Youngsoo 13 Peherstorfer, Benjamin 13 Quarteroni, Alfio M. 12 Navon, Ionel Michael 12 Willcox, Karen E. 11 Kutz, J. Nathan 10 Fang, Fangxin 10 San, Omer 9 Haasdonk, Bernard 9 Pain, Christopher C. 8 Ballarin, Francesco 8 Benner, Peter 8 Desmet, Wim 8 Wang, Zhu 7 Guo, Mengwu 7 Karasözen, Bülent 7 Uzunca, Murat 7 Zahr, Matthew J. 6 Chen, Jiun-Shyan 6 Deparis, Simone 6 Duraisamy, Karthik 6 Fresca, Stefania 6 Maday, Yvon 6 Naets, Frank 6 Pagani, Stefano 6 Parish, Eric J. 6 Ryckelynck, David 6 Xiao, Dunhui 6 Yano, Masayuki 5 Ahmed, Shady E. 5 Cho, Haeseong 5 Codina, Ramon 5 Gugercin, Serkan 5 Heirman, Gert H. K. 5 Iollo, Angelo 5 Karatzas, Efthymios N. 5 Kouri, Drew P. 5 Maulik, Romit 5 Mola, Andrea 5 Néron, David 5 Nobile, Fabio 5 Pagliantini, Cecilia 5 Rebholz, Leo G. 4 Balajewicz, Maciej J. 4 Bordas, Stéphane Pierre Alain 4 Chaturantabut, Saifon 4 Chen, Peng 4 Chen, Yanlai 4 Dal Santo, Niccolò 4 Dede’, Luca 4 Florez, Horacio 4 Gildin, Eduardo 4 Girfoglio, Michele 4 Lee, Kookjin 4 Loiseau, Jean-Christophe 4 Lombardi, Damiano 4 Mohebujjaman, Muhammad 4 Mula, Olga 4 Ohlberger, Mario 4 Rasheed, Adil 4 Reiss, Julius 4 Reyes, Ricardo 4 Schneier, Michael 4 Scovazzi, Guglielmo 4 Shin, Sangjoon 4 Tezaur, Irina 4 Tezaur, Radek 4 Zhang, Lei 3 Afkham, Babak Maboudi 3 Akkari, Nissrine 3 Aquino, Wilkins 3 Baiges, Joan 3 Bergmann, Michel 3 Buchan, Andrew G. 3 Cho, Maenghyo 3 Conti, Paolo 3 Du, Juan 3 Durlofsky, Louis J. 3 Elman, Howard C. 3 Farthing, Matthew W. 3 Feng, Lihong 3 Gerbeau, Jean-Frédéric 3 Ghattas, Omar N. 3 Gunzburger, Max D. 3 Hetmaniuk, Ulrich L. 3 Hijazi, Saddam 3 Huynh, Kevin 3 Ivagnes, Anna 3 Kerfriden, Pierre 3 Kim, Haedong ...and 860 more Authors all top 5 Cited in 72 Serials 122 Computer Methods in Applied Mechanics and Engineering 92 Journal of Computational Physics 48 SIAM Journal on Scientific Computing 46 International Journal for Numerical Methods in Engineering 21 Journal of Scientific Computing 18 Advances in Computational Mathematics 16 SIAM/ASA Journal on Uncertainty Quantification 15 Computers and Fluids 15 Computational Mechanics 11 Journal of Fluid Mechanics 10 Journal of Computational and Applied Mathematics 8 Computers & Mathematics with Applications 7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 6 Applied Mathematics and Computation 6 Physica D 5 SIAM Journal on Matrix Analysis and Applications 5 Computational Geosciences 4 Numerische Mathematik 4 SIAM Journal on Numerical Analysis 4 Applied Mathematical Modelling 4 International Journal of Computational Fluid Dynamics 3 Mathematics and Computers in Simulation 3 SIAM Review 3 GAMM-Mitteilungen 3 Communications in Computational Physics 3 Communications in Applied and Industrial Mathematics 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Mathematics of Computation 2 BIT 2 SIAM Journal on Optimization 2 Communications in Nonlinear Science and Numerical Simulation 2 Thai Journal of Mathematics 2 Acta Numerica 2 Journal of Computational Dynamics 1 Computer Physics Communications 1 International Journal of Engineering Science 1 Journal of Mathematical Analysis and Applications 1 Physica A 1 Wave Motion 1 Systems & Control Letters 1 Circuits, Systems, and Signal Processing 1 Applied Numerical Mathematics 1 Constructive Approximation 1 COMPEL 1 Numerical Methods for Partial Differential Equations 1 Numerical Algorithms 1 SIAM Journal on Applied Mathematics 1 Mathematical Programming. Series A. Series B 1 Archive of Applied Mechanics 1 Journal of Nonlinear Science 1 Computational and Applied Mathematics 1 Engineering Analysis with Boundary Elements 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Multibody System Dynamics 1 Nonlinear Dynamics 1 Vietnam Journal of Mathematics 1 Soft Computing 1 Chaos 1 Mathematical and Computer Modelling of Dynamical Systems 1 Mathematical & Computational Applications 1 International Journal of Applied Mathematics and Computer Science 1 Discrete and Continuous Dynamical Systems. Series B 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 SIAM Journal on Applied Dynamical Systems 1 Multiscale Modeling & Simulation 1 International Journal of Computational Methods 1 Oberwolfach Reports 1 Mathematical Geosciences 1 Statistics and Computing 1 Mathematics in Engineering 1 SMAI Journal of Computational Mathematics 1 Communications of the American Mathematical Society all top 5 Cited in 31 Fields 402 Numerical analysis (65-XX) 202 Fluid mechanics (76-XX) 111 Partial differential equations (35-XX) 84 Computer science (68-XX) 81 Mechanics of deformable solids (74-XX) 47 Systems theory; control (93-XX) 45 Dynamical systems and ergodic theory (37-XX) 32 Statistics (62-XX) 30 Biology and other natural sciences (92-XX) 21 Operations research, mathematical programming (90-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 18 Optics, electromagnetic theory (78-XX) 14 Approximations and expansions (41-XX) 14 Mechanics of particles and systems (70-XX) 13 Geophysics (86-XX) 11 Probability theory and stochastic processes (60-XX) 10 Ordinary differential equations (34-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 7 Classical thermodynamics, heat transfer (80-XX) 7 Statistical mechanics, structure of matter (82-XX) 5 Differential geometry (53-XX) 4 General and overarching topics; collections (00-XX) 3 Functional analysis (46-XX) 3 Operator theory (47-XX) 2 Mathematics education (97-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Quantum theory (81-XX) 1 Astronomy and astrophysics (85-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year