Edit Profile (opens in new tab) Alla, Alessandro Co-Author Distance Author ID: alla.alessandro Published as: Alla, Alessandro; Alla, A. External Links: MGP Documents Indexed: 35 Publications since 2013, including 1 Book and 8 Additional arXiv Preprints Co-Authors: 31 Co-Authors with 33 Joint Publications 1,234 Co-Co-Authors all top 5 Co-Authors 1 single-authored 9 Falcone, Maurizio 5 Hinze, Michael 5 Saluzzi, Luca 4 Kalise, Dante 3 Gräßle, Carmen 3 Kutz, J. Nathan 2 Haasdonk, Bernard 2 Monti, Angela 2 Oliveira, Hugo Luiz 2 Pacifico, Agnese 2 Sgura, Ivonne 2 Simoncini, Valeria 2 Volkwein, Stefan 1 Balzotti, Caterina 1 Briani, Maya 1 Brunton, Steven L. 1 Cristiani, Emiliano 1 D’Elia, Marta 1 Dower, Peter M. 1 Fabrini, Giulia 1 Gunzburger, Max D. 1 Hess, Martin Wilfried 1 Kolvenbach, Philip 1 Lass, Oliver 1 Mghazli, Zoubida 1 Palladino, Michele 1 Pesare, Andrea 1 Quaini, Annalisa 1 Rozza, Gianluigi 1 Rudy, Samuel H. 1 Santin, Gabriele 1 Ulbrich, Stefan all top 5 Serials 5 Advances in Computational Mathematics 3 SIAM Journal on Scientific Computing 2 Journal of Scientific Computing 2 SIAM Journal on Applied Dynamical Systems 1 Computer Methods in Applied Mechanics and Engineering 1 SIAM Journal on Control and Optimization 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Applied Numerical Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Journal of Numerical Mathematics 1 Bulletin of the Brazilian Mathematical Society. New Series 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 International Journal of Mathematics and Statistics 1 Publicações Matemáticas do IMPA all top 5 Fields 20 Numerical analysis (65-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 11 Systems theory; control (93-XX) 9 Partial differential equations (35-XX) 7 Operations research, mathematical programming (90-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Fluid mechanics (76-XX) 2 Optics, electromagnetic theory (78-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Statistics (62-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 21 Publications have been cited 223 times in 170 Documents Cited by ▼ Year ▼ Data-driven identification of parametric partial differential equations. Zbl 1456.65096 Rudy, Samuel; Alla, Alessandro; Brunton, Steven L.; Kutz, J. Nathan 51 2019 An efficient policy iteration algorithm for dynamic programming equations. Zbl 1327.65259 Alla, Alessandro; Falcone, Maurizio; Kalise, Dante 32 2015 An efficient DP algorithm on a tree-structure for finite horizon optimal control problems. Zbl 1423.49024 Alla, Alessandro; Falcone, Maurizio; Saluzzi, Luca 20 2019 Nonlinear model order reduction via dynamic mode decomposition. Zbl 1373.65090 Alla, Alessandro; Kutz, J. Nathan 19 2017 Error analysis for POD approximations of infinite horizon problems via the dynamic programming approach. Zbl 1378.49025 Alla, A.; Falcone, M.; Volkwein, S. 17 2017 An adaptive POD approximation method for the control of advection-diffusion equations. Zbl 1272.49056 Alla, Alessandro; Falcone, Maurizio 15 2013 A localized reduced-order modeling approach for PDEs with bifurcating solutions. Zbl 1441.65082 Hess, Martin; Alla, Alessandro; Quaini, Annalisa; Rozza, Gianluigi; Gunzburger, Max 14 2019 An HJB-POD approach for the control of nonlinear PDEs on a tree structure. (A HJB-POD approach for the control of nonlinear PDEs on a tree structure.) Zbl 1437.49039 Alla, Alessandro; Saluzzi, Luca 9 2020 A certified model reduction approach for robust parameter optimization with PDE constraints. Zbl 1477.35291 Alla, Alessandro; Hinze, Michael; Kolvenbach, Philip; Lass, Oliver; Ulbrich, Stefan 8 2019 Randomized model order reduction. Zbl 1418.65193 Alla, Alessandro; Kutz, J. Nathan 8 2019 A posteriori snapshot location for POD in optimal control of linear parabolic equations. Zbl 1417.49040 Alla, Alessandro; Grässle, Carmen; Hinze, Michael 6 2018 Asymptotic stability of POD based model predictive control for a semilinear parabolic PDE. Zbl 1329.93072 Alla, Alessandro; Volkwein, Stefan 4 2015 A HJB-POD feedback synthesis approach for the wave equation. Zbl 1338.49063 Alla, Alessandro; Falcone, Maurizio; Kalise, Dante 4 2016 A tree structure algorithm for optimal control problems with state constraints. Zbl 1454.65055 Alla, Alessandro; Falcone, Maurizio; Saluzzi, Luca 4 2020 Model order reduction approaches for infinite horizon optimal control problems via the HJB equation. Zbl 06861108 Alla, Alessandro; Schmidt, Andreas; Haasdonk, Bernard 3 2017 Feedback control of parametrized PDEs via model order reduction and dynamic programming principle. Zbl 1441.49031 Alla, Alessandro; Haasdonk, Bernard; Schmidt, Andreas 3 2020 Understanding mass transfer directions via data-driven models with application to mobile phone data. Zbl 1448.76028 Alla, Alessandro; Balzotti, Caterina; Briani, Maya; Cristiani, Emiliano 2 2020 Order reduction approaches for the algebraic Riccati equation and the LQR problem. Zbl 1416.49039 Alla, Alessandro; Simoncini, Valeria 1 2018 Error estimates for a tree structure algorithm solving finite horizon control problems. Zbl 1503.49025 Saluzzi, Luca; Alla, Alessandro; Falcone, Maurizio 1 2022 State-dependent Riccati equation feedback stabilization for nonlinear PDEs. Zbl 1516.93203 Alla, Alessandro; Kalise, Dante; Simoncini, Valeria 1 2023 Adaptive POD-DEIM correction for Turing pattern approximation in reaction-diffusion PDE systems. Zbl 07745017 Alla, Alessandro; Monti, Angela; Sgura, Ivonne 1 2023 State-dependent Riccati equation feedback stabilization for nonlinear PDEs. Zbl 1516.93203 Alla, Alessandro; Kalise, Dante; Simoncini, Valeria 1 2023 Adaptive POD-DEIM correction for Turing pattern approximation in reaction-diffusion PDE systems. Zbl 07745017 Alla, Alessandro; Monti, Angela; Sgura, Ivonne 1 2023 Error estimates for a tree structure algorithm solving finite horizon control problems. Zbl 1503.49025 Saluzzi, Luca; Alla, Alessandro; Falcone, Maurizio 1 2022 An HJB-POD approach for the control of nonlinear PDEs on a tree structure. (A HJB-POD approach for the control of nonlinear PDEs on a tree structure.) Zbl 1437.49039 Alla, Alessandro; Saluzzi, Luca 9 2020 A tree structure algorithm for optimal control problems with state constraints. Zbl 1454.65055 Alla, Alessandro; Falcone, Maurizio; Saluzzi, Luca 4 2020 Feedback control of parametrized PDEs via model order reduction and dynamic programming principle. Zbl 1441.49031 Alla, Alessandro; Haasdonk, Bernard; Schmidt, Andreas 3 2020 Understanding mass transfer directions via data-driven models with application to mobile phone data. Zbl 1448.76028 Alla, Alessandro; Balzotti, Caterina; Briani, Maya; Cristiani, Emiliano 2 2020 Data-driven identification of parametric partial differential equations. Zbl 1456.65096 Rudy, Samuel; Alla, Alessandro; Brunton, Steven L.; Kutz, J. Nathan 51 2019 An efficient DP algorithm on a tree-structure for finite horizon optimal control problems. Zbl 1423.49024 Alla, Alessandro; Falcone, Maurizio; Saluzzi, Luca 20 2019 A localized reduced-order modeling approach for PDEs with bifurcating solutions. Zbl 1441.65082 Hess, Martin; Alla, Alessandro; Quaini, Annalisa; Rozza, Gianluigi; Gunzburger, Max 14 2019 A certified model reduction approach for robust parameter optimization with PDE constraints. Zbl 1477.35291 Alla, Alessandro; Hinze, Michael; Kolvenbach, Philip; Lass, Oliver; Ulbrich, Stefan 8 2019 Randomized model order reduction. Zbl 1418.65193 Alla, Alessandro; Kutz, J. Nathan 8 2019 A posteriori snapshot location for POD in optimal control of linear parabolic equations. Zbl 1417.49040 Alla, Alessandro; Grässle, Carmen; Hinze, Michael 6 2018 Order reduction approaches for the algebraic Riccati equation and the LQR problem. Zbl 1416.49039 Alla, Alessandro; Simoncini, Valeria 1 2018 Nonlinear model order reduction via dynamic mode decomposition. Zbl 1373.65090 Alla, Alessandro; Kutz, J. Nathan 19 2017 Error analysis for POD approximations of infinite horizon problems via the dynamic programming approach. Zbl 1378.49025 Alla, A.; Falcone, M.; Volkwein, S. 17 2017 Model order reduction approaches for infinite horizon optimal control problems via the HJB equation. Zbl 06861108 Alla, Alessandro; Schmidt, Andreas; Haasdonk, Bernard 3 2017 A HJB-POD feedback synthesis approach for the wave equation. Zbl 1338.49063 Alla, Alessandro; Falcone, Maurizio; Kalise, Dante 4 2016 An efficient policy iteration algorithm for dynamic programming equations. Zbl 1327.65259 Alla, Alessandro; Falcone, Maurizio; Kalise, Dante 32 2015 Asymptotic stability of POD based model predictive control for a semilinear parabolic PDE. Zbl 1329.93072 Alla, Alessandro; Volkwein, Stefan 4 2015 An adaptive POD approximation method for the control of advection-diffusion equations. Zbl 1272.49056 Alla, Alessandro; Falcone, Maurizio 15 2013 all cited Publications top 5 cited Publications all top 5 Cited by 315 Authors 18 Alla, Alessandro 13 Kalise, Dante 12 Rozza, Gianluigi 10 Kunisch, Karl 9 Falcone, Maurizio 6 Hinze, Michael 6 Saluzzi, Luca 5 Duan, Jinqiao 5 Hess, Martin Wilfried 4 Ballarin, Francesco 4 Darbon, Jerome 4 Li, Yang 4 Meng, Tingwei 4 Pichi, Federico 4 Singler, John R. 4 Volkwein, Stefan 4 Xu, Hao 4 Zhang, Dongxiao 3 Benner, Peter 3 Camilli, Fabio 3 Gräßle, Carmen 3 Haghighat, Ehsan 3 Juanes, Ruben 3 Karasözen, Bülent 3 Kröner, Axel 3 Kutz, J. Nathan 3 Milz, Johannes 3 Quaini, Annalisa 3 Stabile, Giovanni 3 Uzunca, Murat 3 Willcox, Karen E. 2 Barros, Gabriel F. 2 Chang, Haibin 2 Coutinho, Alvaro L. G. A. 2 Dolgov, Sergey V. 2 Fabrini, Giulia 2 Festa, Adriano 2 Gao, Ting 2 Grave, Malú 2 Haasdonk, Bernard 2 Hesthaven, Jan S. 2 Himpe, Christian 2 Hintermüller, Michael 2 Iliescu, Traian 2 Kang, Sung Ha 2 Keil, Tobias 2 Korolev, Denis 2 Langer, Ulrich 2 Lessig, Christian 2 Liao, Wenjing 2 Lu, Yubin 2 Margenberg, Nils 2 McQuarrie, Shane A. 2 Peherstorfer, Benjamin 2 Reali, Alessandro 2 Rubino, Samuele 2 Rudy, Samuel H. 2 Simoncini, Valeria 2 Steinbach, Olaf 2 Tang, Qing 2 Tartakovsky, Daniel M. 2 Tröltzsch, Fredi 2 Viguerie, Alex 2 Wang, Yiran 2 Yang, Huidong 2 Zhang, Zhiwen 2 Zidani, Hasnaa 1 Adams, Nikolaus A. 1 Agarwal, Deborah 1 Ahmed, Shady E. 1 Akman, Tuğba 1 Albi, Giacomo 1 Alfaro, Iciar 1 Andrade, Roberto Fernandes Silva 1 Antolin, Pablo 1 Aquino, Wilkins 1 Arora, Bhavna 1 Azmi, Behzad 1 Bakarji, Joseph 1 Balabanov, Oleg 1 Balzotti, Caterina 1 Barati Farimani, Amir 1 Beattie, Christopher A. 1 Beise, Hans-Peter 1 Bekar, Ali Can 1 Bensoussan, Alain 1 Bokanowski, Olivier 1 Bokanowski, Olivier 1 Bouklas, Nikolaos 1 Braun, Philipp 1 Breiten, Tobias 1 Briani, Maya 1 Brunton, Steven L. 1 Buffa, Annalisa 1 Cacace, Simone 1 Cai, Weihua 1 Caliari, Marco 1 Canuto, Claudio 1 Carlini, Elisabetta 1 Cassini, Fabio ...and 215 more Authors all top 5 Cited in 62 Serials 17 Journal of Computational Physics 15 SIAM Journal on Scientific Computing 14 Advances in Computational Mathematics 13 Computer Methods in Applied Mechanics and Engineering 8 Computers & Mathematics with Applications 5 SIAM Journal on Numerical Analysis 5 Physica D 4 SIAM Journal on Control and Optimization 4 Journal of Scientific Computing 4 SIAM Journal on Applied Dynamical Systems 3 Applied Mathematics and Computation 3 Applied Mathematics and Optimization 3 ETNA. Electronic Transactions on Numerical Analysis 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 SIAM/ASA Journal on Uncertainty Quantification 2 Journal of Computational and Applied Mathematics 2 Journal of Optimization Theory and Applications 2 Applied Numerical Mathematics 2 Computational Mechanics 2 Computational Geosciences 2 Stochastics and Dynamics 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Acta Numerica 2 Communications in Computational Physics 1 Computers and Fluids 1 Inverse Problems 1 Journal of Fluid Mechanics 1 Journal of Mathematical Analysis and Applications 1 Journal of Statistical Physics 1 Chaos, Solitons and Fractals 1 Calcolo 1 International Journal for Numerical Methods in Engineering 1 Mathematics and Computers in Simulation 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Acta Applicandae Mathematicae 1 MCSS. Mathematics of Control, Signals, and Systems 1 Machine Learning 1 Journal of Global Optimization 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Numerical Algorithms 1 Applied Mathematical Modelling 1 Computational Optimization and Applications 1 Computational and Applied Mathematics 1 Vietnam Journal of Mathematics 1 Chaos 1 Foundations of Computational Mathematics 1 Journal of Systems Science and Complexity 1 Journal of Machine Learning Research (JMLR) 1 Journal of Numerical Mathematics 1 Journal of Statistical Mechanics: Theory and Experiment 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Journal of Biological Dynamics 1 Networks and Heterogeneous Media 1 GEM - International Journal on Geomathematics 1 Journal of Agricultural, Biological, and Environmental Statistics 1 Dynamic Games and Applications 1 Mathematical Control and Related Fields 1 Journal of Mathematics in Industry 1 Research in the Mathematical Sciences 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Electronic Research Archive 1 SN Partial Differential Equations and Applications all top 5 Cited in 23 Fields 109 Numerical analysis (65-XX) 63 Partial differential equations (35-XX) 54 Calculus of variations and optimal control; optimization (49-XX) 36 Systems theory; control (93-XX) 34 Computer science (68-XX) 31 Fluid mechanics (76-XX) 21 Operations research, mathematical programming (90-XX) 15 Dynamical systems and ergodic theory (37-XX) 10 Probability theory and stochastic processes (60-XX) 10 Statistics (62-XX) 8 Mechanics of deformable solids (74-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Biology and other natural sciences (92-XX) 5 Geophysics (86-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Statistical mechanics, structure of matter (82-XX) 2 Ordinary differential equations (34-XX) 2 Optics, electromagnetic theory (78-XX) 1 Approximations and expansions (41-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year