Edit Profile (opens in new tab) Manzoni, Andrea Co-Author Distance Author ID: manzoni.andrea Published as: Manzoni, Andrea; Manzoni, A. External Links: MGP · ORCID Documents Indexed: 83 Publications since 2011, including 3 Books and 21 Additional arXiv Preprints Co-Authors: 72 Co-Authors with 82 Joint Publications 1,797 Co-Co-Authors all top 5 Co-Authors 1 single-authored 30 Quarteroni, Alfio M. 17 Rozza, Gianluigi 15 Fresca, Stefania 8 Lassila, Toni 7 Franco, Nicola Rares 7 Negri, Federico 7 Pagani, Stefano 6 Dal Santo, Niccolò 6 Zunino, Paolo 5 Beretta, Elena 5 Dede’, Luca 4 Braghin, Francesco 4 Cicci, Ludovica 4 Conti, Paolo 4 Deparis, Simone 4 Frangi, Attilio 4 Guo, Mengwu 4 Sinigaglia, Carlo 3 Ballarin, Francesco 3 Gobat, Giorgio 3 Ratti, Luca 3 Salsa, Sandro 3 Zappon, Elena 2 Berman, Spring 2 Cavaterra, Cecilia 2 Hesthaven, Jan S. 2 Mariani, Stefano 2 Parolini, Nicola 2 Pierotti, Dario 2 Torzoni, Matteo 2 Verani, Marco 2 Vergara, Christian 1 Alkadhi, Hatem 1 Amendt, Maurice 1 Amsallem, David 1 Antonietti, Paola Francesca 1 Ardenghi, Giovanni 1 Bonomi, Diana 1 Brivio, Simone 1 Brunton, Steven L. 1 Buoso, Stefano 1 Carlberg, Kevin T. 1 Cerutti, Maria Cristina 1 Colombo, Alessio 1 Corigliano, Alberto 1 Devaud, Denis 1 Faggiano, Elena 1 Farhat, Charbel H. 1 Fatone, Federico 1 Fedeli, Patrick 1 Fraulin, Daniel 1 Fumagalli, Ivan 1 Gervasio, Paola 1 Grimberg, Sebastian 1 Heltai, Luca 1 Huynh, Dinh Bao Phuong 1 Ippolito, Sonia 1 Kurtcuoglu, Vartan 1 Kutz, J. Nathan 1 Maday, Yvon 1 Miglio, Edie 1 Ponti, Luca 1 Pugliese, Andrea 1 Quadrelli, Davide Enrico 1 Rosafalco, Luca 1 Salmoiraghi, Filippo 1 Salvador, Matteo 1 Scrofani, Roberto 1 Tezzele, Marco 1 Tombari, Filippo 1 Vitullo, Piermario 1 Willcox, Karen E. all top 5 Serials 8 Computer Methods in Applied Mechanics and Engineering 5 Journal of Scientific Computing 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Computers & Mathematics with Applications 3 Advances in Computational Mathematics 2 Inverse Problems 2 Journal of Computational Physics 2 International Journal for Numerical Methods in Engineering 2 SIAM Journal on Scientific Computing 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Communications in Applied and Industrial Mathematics 2 SIAM/ASA Journal on Uncertainty Quantification 2 Mathematics in Engineering 1 Computers and Fluids 1 International Journal for Numerical Methods in Fluids 1 Mathematics of Computation 1 Numerische Mathematik 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Milan Journal of Mathematics 1 Acta Numerica 1 Applied Mathematical Sciences 1 Cambridge Monographs on Applied and Computational Mathematics 1 Unitext 1 Bollettino dell’Unione Matematica Italiana. Series IX 1 International Journal for Uncertainty Quantification 1 Journal of Mathematics in Industry 1 Annals of Mathematical Sciences and Applications all top 5 Fields 49 Numerical analysis (65-XX) 27 Partial differential equations (35-XX) 21 Fluid mechanics (76-XX) 15 Biology and other natural sciences (92-XX) 11 Computer science (68-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 5 Mechanics of deformable solids (74-XX) 4 Systems theory; control (93-XX) 1 Approximations and expansions (41-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 55 Publications have been cited 1,361 times in 785 Documents Cited by ▼ Year ▼ Reduced basis methods for partial differential equations. An introduction. Zbl 1337.65113 Quarteroni, Alfio; Manzoni, Andrea; Negri, Federico 310 2016 Supremizer stabilization of POD-Galerkin approximation of parametrized steady incompressible Navier-Stokes equations. Zbl 1352.76039 Ballarin, Francesco; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi 107 2015 Certified reduced basis approximation for parametrized partial differential equations and applications. Zbl 1273.65148 Quarteroni, Alfio; Rozza, Gianluigi; Manzoni, Andrea 102 2011 Model order reduction in fluid dynamics: challenges and perspectives. Zbl 1395.76058 Lassila, Toni; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi 70 2014 Reduced basis approximation and a posteriori error estimation for Stokes flows in parametrized geometries: roles of the inf-sup stability constants. Zbl 1318.76006 Rozza, Gianluigi; Huynh, D. B. Phuong; Manzoni, Andrea 70 2013 Efficient model reduction of parametrized systems by matrix discrete empirical interpolation. Zbl 1349.65154 Negri, Federico; Manzoni, Andrea; Amsallem, David 56 2015 The cardiovascular system: mathematical modelling, numerical algorithms and clinical applications. Zbl 1376.92016 Quarteroni, A.; Manzoni, A.; Vergara, C. 48 2017 A comprehensive deep learning-based approach to reduced order modeling of nonlinear time-dependent parametrized PDEs. Zbl 1470.65166 Fresca, Stefania; Dede’, Luca; Manzoni, Andrea 48 2021 Reduced basis method for parametrized elliptic optimal control problems. Zbl 1280.49046 Negri, Federico; Rozza, Gianluigi; Manzoni, Andrea; Quarteroni, Alfio 46 2013 Reduced basis approximation of parametrized optimal flow control problems for the Stokes equations. Zbl 1421.49026 Negri, Federico; Manzoni, Andrea; Rozza, Gianluigi 36 2015 Mathematical modelling of the human cardiovascular system. Data, numerical approximation, clinical applications. Zbl 1411.92003 Quarteroni, Alfio; Dede’, Luca; Manzoni, Andrea; Vergara, Christian 36 2019 Shape optimization for viscous flows by reduced basis methods and free-form deformation. Zbl 1412.76031 Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi 33 2012 Fast simulations of patient-specific haemodynamics of coronary artery bypass grafts based on a POD-Galerkin method and a vascular shape parametrization. Zbl 1349.76173 Ballarin, Francesco; Faggiano, Elena; Ippolito, Sonia; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi; Scrofani, Roberto 32 2016 POD-DL-ROM: enhancing deep learning-based reduced order models for nonlinear parametrized PDEs by proper orthogonal decomposition. Zbl 1507.65181 Fresca, Stefania; Manzoni, Andrea 30 2022 Reduced basis isogeometric methods (RB-IGA) for the real-time simulation of potential flows about parametrized NACA airfoils. Zbl 1423.76181 Manzoni, Andrea; Salmoiraghi, Filippo; Heltai, Luca 26 2015 An efficient computational framework for reduced basis approximation and a posteriori error estimation of parametrized Navier-Stokes flows. Zbl 1301.76025 Manzoni, Andrea 24 2014 Accurate solution of Bayesian inverse uncertainty quantification problems combining reduced basis methods and reduction error models. Zbl 1383.35251 Manzoni, A.; Pagani, S.; Lassila, T. 22 2016 Numerical approximation of parametrized problems in cardiac electrophysiology by a local reduced basis method. Zbl 1440.92003 Pagani, Stefano; Manzoni, Andrea; Quarteroni, Alfio 18 2018 Heuristic strategies for the approximation of stability factors in quadratically nonlinear parametrized PDEs. Zbl 1336.76020 Manzoni, Andrea; Negri, Federico 17 2015 Computational bottlenecks for PROMs: precomputation and hyperreduction. Zbl 1483.65154 Farhat, Charbel; Grimberg, Sebastian; Manzoni, Andrea; Quarteroni, Alfio 16 2021 A matrix DEIM technique for model reduction of nonlinear parametrized problems in cardiac mechanics. Zbl 1439.74394 Bonomi, Diana; Manzoni, Andrea; Quarteroni, Alfio 15 2017 Reduced basis approximation for shape optimization in thermal flows with a parametrized polynomial geometric map. Zbl 1430.76366 Rozza, Gianluigi; Lassila, Toni; Manzoni, Andrea 14 2011 Computational reduction for parametrized PDEs: strategies and applications. Zbl 1432.65171 Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi 13 2012 Efficient state/parameter estimation in nonlinear unsteady PDEs by a reduced basis ensemble Kalman filter. Zbl 1398.65280 Pagani, Stefano; Manzoni, Andrea; Quarteroni, Alfio 11 2017 Boundary control and shape optimization for the robust design of bypass anastomoses under uncertainty. Zbl 1402.92246 Lassila, Toni; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi 11 2013 A reconstruction algorithm based on topological gradient for an inverse problem related to a semilinear elliptic boundary value problem. Zbl 1372.35355 Beretta, Elena; Manzoni, Andrea; Ratti, Luca 10 2017 On the approximation of stability factors for general parametrized partial differential equations with a two-level affine decomposition. Zbl 1276.65069 Lassila, Toni; Manzoni, Andrea; Rozza, Gianluigi 10 2012 Efficient reduction of PDEs defined on domains with variable shape. Zbl 1388.78020 Manzoni, Andrea; Negri, Federico 9 2017 Shape optimization by free-form deformation: existence results and numerical solution for Stokes flows. Zbl 1303.49017 Ballarin, Francesco; Manzoni, Andrea; Rozza, Gianluigi; Salsa, Sandro 9 2014 Non intrusive reduced order modeling of parametrized PDEs by kernel POD and neural networks. Zbl 07447582 Salvador, M.; Dedè, L.; Manzoni, A. 9 2021 Hyper-reduced order models for parametrized unsteady Navier-Stokes equations on domains with variable shape. Zbl 1435.65155 Dal Santo, Niccolò; Manzoni, Andrea 9 2019 An algebraic least squares reduced basis method for the solution of nonaffinely parametrized Stokes equations. Zbl 1440.76055 Dal Santo, Niccolo; Deparis, S.; Manzoni, A.; Quarteroni, A. 9 2019 Reduced basis approximation and a posteriori error estimates for parametrized elliptic eigenvalue problems. Zbl 1355.65149 Fumagalli, Ivan; Manzoni, Andrea; Parolini, Nicola; Verani, Marco 8 2016 Generalized reduced basis methods and \(n\)-width estimates for the approximation of the solution manifold of parametric PDEs. Zbl 1347.41033 Lassila, Toni; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi 8 2013 Multi-fidelity regression using artificial neural networks: efficient approximation of parameter-dependent output quantities. Zbl 1507.65184 Guo, Mengwu; Manzoni, Andrea; Amendt, Maurice; Conti, Paolo; Hesthaven, Jan S. 8 2022 Multi space reduced basis preconditioners for large-scale parametrized PDEs. Zbl 1453.65416 Santo, Niccolò Dal; Deparis, Simone; Manzoni, Andrea; Quarteroni, Alfio 7 2018 An online intrinsic stabilization strategy for the reduced basis approximation of parametrized advection-dominated problems. (Une stratégie intrinsèque de stabilisation en ligne pour l’approximation bases réduites de problèmes paramètrés avec transport dominant.) Zbl 1353.65093 Maday, Yvon; Manzoni, Andrea; Quarteroni, Alfio 7 2016 An inverse problem for a semilinear parabolic equation arising from cardiac electrophysiology. Zbl 1376.92015 Beretta, Elena; Cavaterra, Cecilia; Cerutti, M. Cristina; Manzoni, Andrea; Ratti, Luca 7 2017 An asymptotic formula for boundary potential perturbations in a semilinear elliptic equation related to cardiac electrophysiology. Zbl 1336.35162 Beretta, Elena; Cerutti, M. Cristina; Manzoni, Andrea; Pierotti, Dario 6 2016 Dimensionality reduction of parameter-dependent problems through proper orthogonal decomposition. Zbl 1381.65005 Manzoni, Andrea; Negri, Federico; Quarteroni, Alfio 5 2016 A deep learning approach to reduced order modelling of parameter dependent partial differential equations. Zbl 1504.65255 Franco, Nicola R.; Manzoni, Andrea; Zunino, Paolo 5 2023 Deep-HyROMnet: a deep learning-based operator approximation for hyper-reduction of nonlinear parametrized PDEs. Zbl 1503.65225 Cicci, Ludovica; Fresca, Stefania; Manzoni, Andrea 3 2022 Multi-fidelity surrogate modeling using long short-term memory networks. Zbl 07644865 Conti, Paolo; Guo, Mengwu; Manzoni, Andrea; Hesthaven, Jan S. 3 2023 Optimal control of partial differential equations. Analysis, approximation, and applications. Zbl 1483.49001 Manzoni, Andrea; Quarteroni, Alfio; Salsa, Sandro 3 2021 A numerical investigation of multi space reduced basis preconditioners for parametrized elliptic advection-diffusion equations. Zbl 1382.65384 Dal Santo, Niccolò; Deparis, Simone; Manzoni, Andrea 2 2017 Deep learning-based reduced order models for the real-time simulation of the nonlinear dynamics of microstructures. Zbl 07769309 Fresca, Stefania; Gobat, Giorgio; Fedeli, Patrick; Frangi, Attilio; Manzoni, Andrea 2 2022 Generalized reduced basis methods and \(n\)-width estimates for the approximation of the solution manifold of parametric PDEs. Zbl 1273.35024 Lassila, Toni; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi 2 2013 Reduced order modeling of parametrized systems through autoencoders and SINDy approach: continuation of periodic solutions. Zbl 07692963 Conti, Paolo; Gobat, Giorgio; Fresca, Stefania; Manzoni, Andrea; Frangi, Attilio 2 2023 Reduction strategies for shape dependent inverse problems in haemodynamics. Zbl 1266.49081 Lassila, Toni; Manzoni, Andrea; Rozza, Gianluigi 1 2013 Efficient and certified solution of parametrized one-way coupled problems through DEIM-based data projection across non-conforming interfaces. Zbl 1512.65221 Zappon, Elena; Manzoni, Andrea; Quarteroni, Alfio 1 2023 Multi space reduced basis preconditioners for parametrized Stokes equations. Zbl 1442.65357 Dal Santo, Niccolo; Deparis, S.; Manzoni, A.; Quarteroni, A. 1 2019 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 A saddle point approach to an optimal boundary control problem for steady Navier-Stokes equations. Zbl 1434.49021 Manzoni, Andrea; Quarteroni, Alfio; Salsa, Sandro 1 2019 A certified RB method for PDE-constrained parametric optimization problems. Zbl 1422.49007 Manzoni, Andrea; Pagani, Stefano 1 2019 Projection-based reduced order models for parameterized nonlinear time-dependent problems arising in cardiac mechanics. Zbl 07817661 Cicci, Ludovica; Fresca, Stefania; Pagani, Stefano; Manzoni, Andrea; Quarteroni, Alfio 1 2023 A deep learning approach to reduced order modelling of parameter dependent partial differential equations. Zbl 1504.65255 Franco, Nicola R.; Manzoni, Andrea; Zunino, Paolo 5 2023 Multi-fidelity surrogate modeling using long short-term memory networks. Zbl 07644865 Conti, Paolo; Guo, Mengwu; Manzoni, Andrea; Hesthaven, Jan S. 3 2023 Reduced order modeling of parametrized systems through autoencoders and SINDy approach: continuation of periodic solutions. Zbl 07692963 Conti, Paolo; Gobat, Giorgio; Fresca, Stefania; Manzoni, Andrea; Frangi, Attilio 2 2023 Efficient and certified solution of parametrized one-way coupled problems through DEIM-based data projection across non-conforming interfaces. Zbl 1512.65221 Zappon, Elena; Manzoni, Andrea; Quarteroni, Alfio 1 2023 Projection-based reduced order models for parameterized nonlinear time-dependent problems arising in cardiac mechanics. Zbl 07817661 Cicci, Ludovica; Fresca, Stefania; Pagani, Stefano; Manzoni, Andrea; Quarteroni, Alfio 1 2023 POD-DL-ROM: enhancing deep learning-based reduced order models for nonlinear parametrized PDEs by proper orthogonal decomposition. Zbl 1507.65181 Fresca, Stefania; Manzoni, Andrea 30 2022 Multi-fidelity regression using artificial neural networks: efficient approximation of parameter-dependent output quantities. Zbl 1507.65184 Guo, Mengwu; Manzoni, Andrea; Amendt, Maurice; Conti, Paolo; Hesthaven, Jan S. 8 2022 Deep-HyROMnet: a deep learning-based operator approximation for hyper-reduction of nonlinear parametrized PDEs. Zbl 1503.65225 Cicci, Ludovica; Fresca, Stefania; Manzoni, Andrea 3 2022 Deep learning-based reduced order models for the real-time simulation of the nonlinear dynamics of microstructures. Zbl 07769309 Fresca, Stefania; Gobat, Giorgio; Fedeli, Patrick; Frangi, Attilio; Manzoni, Andrea 2 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 A comprehensive deep learning-based approach to reduced order modeling of nonlinear time-dependent parametrized PDEs. Zbl 1470.65166 Fresca, Stefania; Dede’, Luca; Manzoni, Andrea 48 2021 Computational bottlenecks for PROMs: precomputation and hyperreduction. Zbl 1483.65154 Farhat, Charbel; Grimberg, Sebastian; Manzoni, Andrea; Quarteroni, Alfio 16 2021 Non intrusive reduced order modeling of parametrized PDEs by kernel POD and neural networks. Zbl 07447582 Salvador, M.; Dedè, L.; Manzoni, A. 9 2021 Optimal control of partial differential equations. Analysis, approximation, and applications. Zbl 1483.49001 Manzoni, Andrea; Quarteroni, Alfio; Salsa, Sandro 3 2021 Mathematical modelling of the human cardiovascular system. Data, numerical approximation, clinical applications. Zbl 1411.92003 Quarteroni, Alfio; Dede’, Luca; Manzoni, Andrea; Vergara, Christian 36 2019 Hyper-reduced order models for parametrized unsteady Navier-Stokes equations on domains with variable shape. Zbl 1435.65155 Dal Santo, Niccolò; Manzoni, Andrea 9 2019 An algebraic least squares reduced basis method for the solution of nonaffinely parametrized Stokes equations. Zbl 1440.76055 Dal Santo, Niccolo; Deparis, S.; Manzoni, A.; Quarteroni, A. 9 2019 Multi space reduced basis preconditioners for parametrized Stokes equations. Zbl 1442.65357 Dal Santo, Niccolo; Deparis, S.; Manzoni, A.; Quarteroni, A. 1 2019 A saddle point approach to an optimal boundary control problem for steady Navier-Stokes equations. Zbl 1434.49021 Manzoni, Andrea; Quarteroni, Alfio; Salsa, Sandro 1 2019 A certified RB method for PDE-constrained parametric optimization problems. Zbl 1422.49007 Manzoni, Andrea; Pagani, Stefano 1 2019 Numerical approximation of parametrized problems in cardiac electrophysiology by a local reduced basis method. Zbl 1440.92003 Pagani, Stefano; Manzoni, Andrea; Quarteroni, Alfio 18 2018 Multi space reduced basis preconditioners for large-scale parametrized PDEs. Zbl 1453.65416 Santo, Niccolò Dal; Deparis, Simone; Manzoni, Andrea; Quarteroni, Alfio 7 2018 The cardiovascular system: mathematical modelling, numerical algorithms and clinical applications. Zbl 1376.92016 Quarteroni, A.; Manzoni, A.; Vergara, C. 48 2017 A matrix DEIM technique for model reduction of nonlinear parametrized problems in cardiac mechanics. Zbl 1439.74394 Bonomi, Diana; Manzoni, Andrea; Quarteroni, Alfio 15 2017 Efficient state/parameter estimation in nonlinear unsteady PDEs by a reduced basis ensemble Kalman filter. Zbl 1398.65280 Pagani, Stefano; Manzoni, Andrea; Quarteroni, Alfio 11 2017 A reconstruction algorithm based on topological gradient for an inverse problem related to a semilinear elliptic boundary value problem. Zbl 1372.35355 Beretta, Elena; Manzoni, Andrea; Ratti, Luca 10 2017 Efficient reduction of PDEs defined on domains with variable shape. Zbl 1388.78020 Manzoni, Andrea; Negri, Federico 9 2017 An inverse problem for a semilinear parabolic equation arising from cardiac electrophysiology. Zbl 1376.92015 Beretta, Elena; Cavaterra, Cecilia; Cerutti, M. Cristina; Manzoni, Andrea; Ratti, Luca 7 2017 A numerical investigation of multi space reduced basis preconditioners for parametrized elliptic advection-diffusion equations. Zbl 1382.65384 Dal Santo, Niccolò; Deparis, Simone; Manzoni, Andrea 2 2017 Reduced basis methods for partial differential equations. An introduction. Zbl 1337.65113 Quarteroni, Alfio; Manzoni, Andrea; Negri, Federico 310 2016 Fast simulations of patient-specific haemodynamics of coronary artery bypass grafts based on a POD-Galerkin method and a vascular shape parametrization. Zbl 1349.76173 Ballarin, Francesco; Faggiano, Elena; Ippolito, Sonia; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi; Scrofani, Roberto 32 2016 Accurate solution of Bayesian inverse uncertainty quantification problems combining reduced basis methods and reduction error models. Zbl 1383.35251 Manzoni, A.; Pagani, S.; Lassila, T. 22 2016 Reduced basis approximation and a posteriori error estimates for parametrized elliptic eigenvalue problems. Zbl 1355.65149 Fumagalli, Ivan; Manzoni, Andrea; Parolini, Nicola; Verani, Marco 8 2016 An online intrinsic stabilization strategy for the reduced basis approximation of parametrized advection-dominated problems. (Une stratégie intrinsèque de stabilisation en ligne pour l’approximation bases réduites de problèmes paramètrés avec transport dominant.) Zbl 1353.65093 Maday, Yvon; Manzoni, Andrea; Quarteroni, Alfio 7 2016 An asymptotic formula for boundary potential perturbations in a semilinear elliptic equation related to cardiac electrophysiology. Zbl 1336.35162 Beretta, Elena; Cerutti, M. Cristina; Manzoni, Andrea; Pierotti, Dario 6 2016 Dimensionality reduction of parameter-dependent problems through proper orthogonal decomposition. Zbl 1381.65005 Manzoni, Andrea; Negri, Federico; Quarteroni, Alfio 5 2016 Supremizer stabilization of POD-Galerkin approximation of parametrized steady incompressible Navier-Stokes equations. Zbl 1352.76039 Ballarin, Francesco; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi 107 2015 Efficient model reduction of parametrized systems by matrix discrete empirical interpolation. Zbl 1349.65154 Negri, Federico; Manzoni, Andrea; Amsallem, David 56 2015 Reduced basis approximation of parametrized optimal flow control problems for the Stokes equations. Zbl 1421.49026 Negri, Federico; Manzoni, Andrea; Rozza, Gianluigi 36 2015 Reduced basis isogeometric methods (RB-IGA) for the real-time simulation of potential flows about parametrized NACA airfoils. Zbl 1423.76181 Manzoni, Andrea; Salmoiraghi, Filippo; Heltai, Luca 26 2015 Heuristic strategies for the approximation of stability factors in quadratically nonlinear parametrized PDEs. Zbl 1336.76020 Manzoni, Andrea; Negri, Federico 17 2015 Model order reduction in fluid dynamics: challenges and perspectives. Zbl 1395.76058 Lassila, Toni; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi 70 2014 An efficient computational framework for reduced basis approximation and a posteriori error estimation of parametrized Navier-Stokes flows. Zbl 1301.76025 Manzoni, Andrea 24 2014 Shape optimization by free-form deformation: existence results and numerical solution for Stokes flows. Zbl 1303.49017 Ballarin, Francesco; Manzoni, Andrea; Rozza, Gianluigi; Salsa, Sandro 9 2014 Reduced basis approximation and a posteriori error estimation for Stokes flows in parametrized geometries: roles of the inf-sup stability constants. Zbl 1318.76006 Rozza, Gianluigi; Huynh, D. B. Phuong; Manzoni, Andrea 70 2013 Reduced basis method for parametrized elliptic optimal control problems. Zbl 1280.49046 Negri, Federico; Rozza, Gianluigi; Manzoni, Andrea; Quarteroni, Alfio 46 2013 Boundary control and shape optimization for the robust design of bypass anastomoses under uncertainty. Zbl 1402.92246 Lassila, Toni; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi 11 2013 Generalized reduced basis methods and \(n\)-width estimates for the approximation of the solution manifold of parametric PDEs. Zbl 1347.41033 Lassila, Toni; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi 8 2013 Generalized reduced basis methods and \(n\)-width estimates for the approximation of the solution manifold of parametric PDEs. Zbl 1273.35024 Lassila, Toni; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi 2 2013 Reduction strategies for shape dependent inverse problems in haemodynamics. Zbl 1266.49081 Lassila, Toni; Manzoni, Andrea; Rozza, Gianluigi 1 2013 Shape optimization for viscous flows by reduced basis methods and free-form deformation. Zbl 1412.76031 Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi 33 2012 Computational reduction for parametrized PDEs: strategies and applications. Zbl 1432.65171 Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi 13 2012 On the approximation of stability factors for general parametrized partial differential equations with a two-level affine decomposition. Zbl 1276.65069 Lassila, Toni; Manzoni, Andrea; Rozza, Gianluigi 10 2012 Certified reduced basis approximation for parametrized partial differential equations and applications. Zbl 1273.65148 Quarteroni, Alfio; Rozza, Gianluigi; Manzoni, Andrea 102 2011 Reduced basis approximation for shape optimization in thermal flows with a parametrized polynomial geometric map. Zbl 1430.76366 Rozza, Gianluigi; Lassila, Toni; Manzoni, Andrea 14 2011 all cited Publications top 5 cited Publications all top 5 Cited by 1,280 Authors 83 Rozza, Gianluigi 55 Quarteroni, Alfio M. 45 Manzoni, Andrea 30 Dede’, Luca 26 Ballarin, Francesco 22 Hesthaven, Jan S. 20 Iliescu, Traian 20 Stabile, Giovanni 16 Benner, Peter 15 Regazzoni, Francesco 15 Taddei, Tommaso 14 Maday, Yvon 14 Vergara, Christian 13 Luo, Zhendong 11 Deparis, Simone 10 Chacón Rebollo, Tomás 10 Chen, Peng 10 Chen, Yanlai 10 Ohlberger, Mario 10 Urban, Karsten 9 Gugercin, Serkan 9 Haasdonk, Bernard 9 Hess, Martin Wilfried 9 Strazzullo, Maria 8 Ghattas, Omar N. 8 Navon, Ionel Michael 8 Pagani, Stefano 8 Patera, Anthony T. 8 Quaini, Annalisa 8 Rave, Stephan David 8 Rubino, Samuele 8 Salvador, Matteo 8 Veroy, Karen 8 Wang, Zhu 7 Chinesta, Francisco 7 Dal Santo, Niccolò 7 Farhat, Charbel H. 7 Fresca, Stefania 7 Girfoglio, Michele 7 Gómez Mármol, Macarena 7 Gunzburger, Max D. 7 Hinze, Michael 7 Karatzas, Efthymios N. 7 San, Omer 7 Schwab, Christoph 7 Zhu, Shengfeng 6 Africa, Pasquale Claudio 6 Beretta, Elena 6 Bucelli, Michele 6 Cueto, Elias 6 Fedele, Marco 6 Feng, Lihong 6 Grepl, Martin A. 6 Guo, Mengwu 6 Li, Qiuqi 6 Pain, Christopher C. 6 Peherstorfer, Benjamin 6 Schneier, Michael 6 Yano, Masayuki 6 Zingaro, Alberto 6 Zunino, Paolo 5 Delgado Ávila, Enrique 5 Demo, Nicola 5 Fang, Fangxin 5 Fumagalli, Ivan 5 Jiang, Lijian 5 Keil, Tim 5 Koc, Birgul 5 Krivovichev, Gerasim Vladimirovich 5 Mola, Andrea 5 Mou, Changhong 5 Narayan, Akil C. 5 Nobile, Fabio 5 O’Leary-Roseberry, Thomas 5 Perotto, Simona 5 Pichi, Federico 5 Pradovera, Davide 5 Ratti, Luca 5 Schindler, Felix 5 Singler, John R. 5 Smetana, Kathrin 5 Volkwein, Stefan 5 Willcox, Karen E. 5 Xiao, Dunhui 4 Aguado, Jose Vicente 4 Alla, Alessandro 4 Badías, Alberto 4 Bonizzoni, Francesca 4 Borzacchiello, Domenico 4 Carlberg, Kevin T. 4 Chamoin, Ludovic 4 Choi, Youngsoo 4 Corno, Antonio F. 4 Desmet, Wim 4 Gervasio, Paola 4 Gigante, Giacomo 4 Glas, Silke 4 Gosea, Ion Victor 4 Gräßle, Carmen 4 Herrero, Henar ...and 1,180 more Authors all top 5 Cited in 116 Serials 119 Computer Methods in Applied Mechanics and Engineering 96 Journal of Computational Physics 58 SIAM Journal on Scientific Computing 51 Journal of Scientific Computing 32 Advances in Computational Mathematics 29 Computers & Mathematics with Applications 26 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 24 International Journal for Numerical Methods in Engineering 18 Computers and Fluids 16 SIAM/ASA Journal on Uncertainty Quantification 15 Journal of Computational and Applied Mathematics 15 SIAM Journal on Numerical Analysis 8 Computational Mechanics 7 Numerische Mathematik 7 Applied Numerical Mathematics 7 International Journal of Computational Fluid Dynamics 7 Vietnam Journal of Mathematics 7 Mathematics in Engineering 6 Inverse Problems 6 Journal of Mathematical Analysis and Applications 6 Applied Mathematics and Computation 6 Numerical Methods for Partial Differential Equations 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Communications in Computational Physics 5 Mathematics of Computation 5 Archives of Computational Methods in Engineering 4 Computer Physics Communications 4 Physica D 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 Applied Mathematical Modelling 4 Journal of Numerical Mathematics 4 Multiscale Modeling & Simulation 3 Journal of Fluid Mechanics 3 Mathematics and Computers in Simulation 3 SIAM Journal on Control and Optimization 3 SIAM Journal on Matrix Analysis and Applications 3 Numerical Algorithms 3 SIAM Review 3 Computational and Applied Mathematics 3 ETNA. Electronic Transactions on Numerical Analysis 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Computational Geosciences 3 SIAM Journal on Applied Dynamical Systems 3 Acta Numerica 3 GEM - International Journal on Geomathematics 3 Communications in Applied and Industrial Mathematics 3 East Asian Journal on Applied Mathematics 2 Acta Mechanica 2 Applicable Analysis 2 Journal of Optimization Theory and Applications 2 Applied Mathematics Letters 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 SIAM Journal on Applied Mathematics 2 SIAM Journal on Mathematical Analysis 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 2 Communications in Nonlinear Science and Numerical Simulation 2 Differentsial’nye Uravneniya i Protsessy Upravleniya 2 Advances in Difference Equations 2 Mathematical Biosciences and Engineering 2 Boundary Value Problems 2 GAMM-Mitteilungen 2 Mathematical Control and Related Fields 2 Journal of Mathematics in Industry 2 Journal of Computational Dynamics 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 2 SMAI Journal of Computational Mathematics 1 Classical and Quantum Gravity 1 International Journal of Engineering Science 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Mathematical Biosciences 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Wave Motion 1 Applied Mathematics and Optimization 1 Integral Equations and Operator Theory 1 Ricerche di Matematica 1 Zeitschrift für Analysis und ihre Anwendungen 1 Statistics & Probability Letters 1 Acta Applicandae Mathematicae 1 Bulletin of the Iranian Mathematical Society 1 Journal of Computational Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Optimization 1 Constructive Approximation 1 COMPEL 1 European Journal of Applied Mathematics 1 Japan Journal of Industrial and Applied Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 International Journal of Robust and Nonlinear Control 1 Journal of Nonlinear Science 1 Continuum Mechanics and Thermodynamics 1 Journal of Inverse and Ill-Posed Problems 1 Mathematical Problems in Engineering 1 Computing and Visualization in Science 1 Differential Equations and Dynamical Systems 1 Discrete Dynamics in Nature and Society 1 European Journal of Mechanics. A. Solids 1 European Journal of Mechanics. B. Fluids 1 Optimization and Engineering ...and 16 more Serials all top 5 Cited in 38 Fields 586 Numerical analysis (65-XX) 285 Fluid mechanics (76-XX) 269 Partial differential equations (35-XX) 96 Biology and other natural sciences (92-XX) 93 Mechanics of deformable solids (74-XX) 82 Computer science (68-XX) 77 Calculus of variations and optimal control; optimization (49-XX) 44 Statistics (62-XX) 43 Systems theory; control (93-XX) 29 Operations research, mathematical programming (90-XX) 28 Dynamical systems and ergodic theory (37-XX) 28 Probability theory and stochastic processes (60-XX) 26 Approximations and expansions (41-XX) 24 Optics, electromagnetic theory (78-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 12 Geophysics (86-XX) 11 Ordinary differential equations (34-XX) 11 Classical thermodynamics, heat transfer (80-XX) 11 Statistical mechanics, structure of matter (82-XX) 9 Functional analysis (46-XX) 9 Operator theory (47-XX) 6 Mechanics of particles and systems (70-XX) 5 Real functions (26-XX) 4 Functions of a complex variable (30-XX) 4 Several complex variables and analytic spaces (32-XX) 3 Quantum theory (81-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Potential theory (31-XX) 2 Integral equations (45-XX) 2 Mathematics education (97-XX) 1 General and overarching topics; collections (00-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Relativity and gravitational theory (83-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year