Edit Profile (opens in new tab) Rozza, Gianluigi Co-Author Distance Author ID: rozza.gianluigi Published as: Rozza, Gianluigi; Rozza, G. Homepage: https://people.sissa.it/~grozza/ External Links: MGP · ORCID · Wikidata · Google Scholar · Twitter · dblp · GND · IdRef · theses.fr Documents Indexed: 227 Publications since 2003, including 3 Books and 74 Additional arXiv Preprints 15 Contributions as Editor Co-Authors: 198 Co-Authors with 235 Joint Publications 3,397 Co-Co-Authors all top 5 Co-Authors 7 single-authored 46 Stabile, Giovanni 45 Ballarin, Francesco 34 Quarteroni, Alfio M. 26 Demo, Nicola 26 Tezzele, Marco 24 Girfoglio, Michele 19 Quaini, Annalisa 18 Mola, Andrea 17 Manzoni, Andrea 14 Hess, Martin Wilfried 13 Strazzullo, Maria 11 Lassila, Toni 11 Pichi, Federico 9 Romor, Francesco 8 Karatzas, Efthymios N. 8 Nonino, Monica 7 Benner, Peter 6 Chen, Peng 6 Grivet-Talocia, Stefano 6 Perotto, Simona 6 Torlo, Davide 5 Ivagnes, Anna 5 Lario, Andrea 5 Patera, Anthony T. 5 Salavatidezfouli, Sajad 5 Silveira, Luís Miguel 4 Hijazi, Saddam 4 Huynh, Dinh Bao Phuong 4 Iliescu, Traian 4 Khamlich, Moaad 4 Maday, Yvon 4 Schilders, Wil H. A. 4 Scovazzi, Guglielmo 4 Zancanaro, Matteo 3 Ali, Shafqat 3 Barral, Patricia 3 Cammi, Antonio 3 Devaud, Denis 3 Gadalla, Mahmoud 3 Haasdonk, Bernard 3 Hajisharifi, Arash 3 Hesthaven, Jan S. 3 Iapichino, Laura 3 Lorenzi, Stefano 3 Luzzi, Lelio 3 Meneghetti, Laura 3 Mengaldo, Gianmarco 3 Morelli, Umberto Emil 3 Ohlberger, Mario 3 Prusak, Ivan 3 Quintela-Estevez, Peregrina 3 Scrofani, Roberto 3 Shah, Nirav Vasant 3 Sheidani, Armin 3 Siena, Pierfrancesco 3 Urban, Karsten 2 Agoshkov, Valeriĭ Ivanovich 2 Andreuzzi, Francesco 2 Bakhshaei, Kabir 2 Bluck, Michael J. 2 Canuto, Claudio 2 Chacón Rebollo, Tomás 2 Comisso, Marina 2 Corsini, Alessandro 2 Coscia, Dario 2 Degroote, Joris 2 Delgado Ávila, Enrique 2 Fremes, Stephen 2 Georgaka, Sokratia 2 Giuliani, Nicola 2 Gómez Mármol, Macarena 2 Gonnella, Isabella Carla 2 Gunzburger, Max D. 2 Gustin, Gianluca 2 Infantino, Giuseppe 2 Jiménez-Juan, Laura 2 Kutz, J. Nathan 2 Lavini, Gianpiero 2 Martini, Immanuel 2 Montalto, Andrea 2 Mrosek, Markus 2 Musumeci, Francesco 2 Negri, Federico 2 Nicolò, Francesca 2 Nouveau, Léo 2 Ortali, Giulio 2 Othmer, Carsten 2 Pacciarini, Paolo 2 Piccialli, Francesco 2 Reali, Alessandro 2 Salmoiraghi, Filippo 2 Scandurra, Leonardo 2 Tonicello, Niccolò 2 Triverio, Piero 2 Van Brummelen, Harald 2 Venturi, Luca 2 Zainib, Zakia 2 Zoccolan, Fabio 1 Alla, Alessandro 1 Atallah, Nabil M. ...and 100 more Co-Authors all top 5 Serials 16 Journal of Scientific Computing 12 Computers & Mathematics with Applications 12 Computer Methods in Applied Mechanics and Engineering 8 Computers and Fluids 8 Journal of Computational Physics 7 International Journal for Numerical Methods in Engineering 5 SIAM Journal on Scientific Computing 5 Advances in Computational Mathematics 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 SIAM Journal on Numerical Analysis 4 International Journal of Computational Fluid Dynamics 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Communications in Computational Physics 3 Applied Mathematical Modelling 3 Communications in Applied and Industrial Mathematics 2 International Journal for Numerical Methods in Fluids 2 Numerische Mathematik 2 ETNA. Electronic Transactions on Numerical Analysis 2 Lecture Notes in Computational Science and Engineering 2 MS&A. Modeling, Simulation and Applications 2 SIAM/ASA Journal on Uncertainty Quantification 1 Applied Mathematics and Computation 1 Calcolo 1 Journal of Computational and Applied Mathematics 1 Applied Numerical Mathematics 1 Computational Mechanics 1 Numerical Methods for Partial Differential Equations 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 SIAM Review 1 Computing and Visualization in Science 1 Vietnam Journal of Mathematics 1 Mathematical and Computer Modelling of Dynamical Systems 1 Archives of Computational Methods in Engineering 1 Journal of Numerical Mathematics 1 Milan Journal of Mathematics 1 SIAM Journal on Applied Dynamical Systems 1 Multiscale Modeling & Simulation 1 Acta Numerica 1 Lecture Notes in Mathematics 1 Computational Science & Engineering 1 Bollettino dell’Unione Matematica Italiana. Series IX 1 Journal of Mathematics in Industry 1 SEMA SIMAI Springer Series 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Bollettino dell’Unione Matematica Italiana 1 SpringerBriefs in Mathematics 1 Mathematics in Engineering 1 SISSA Springer Series all top 5 Fields 132 Numerical analysis (65-XX) 94 Fluid mechanics (76-XX) 67 Partial differential equations (35-XX) 26 Calculus of variations and optimal control; optimization (49-XX) 18 Mechanics of deformable solids (74-XX) 16 General and overarching topics; collections (00-XX) 13 Biology and other natural sciences (92-XX) 11 Computer science (68-XX) 10 Systems theory; control (93-XX) 8 Probability theory and stochastic processes (60-XX) 7 Optics, electromagnetic theory (78-XX) 7 Mathematics education (97-XX) 6 Approximations and expansions (41-XX) 6 Operations research, mathematical programming (90-XX) 5 Statistics (62-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Geophysics (86-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Combinatorics (05-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 137 Publications have been cited 3,029 times in 1,191 Documents Cited by ▼ Year ▼ Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics. Zbl 1304.65251 Rozza, G.; Huynh, D. B. P.; Patera, A. T. 427 2008 Certified reduced basis methods for parametrized partial differential equations. Zbl 1329.65203 Hesthaven, Jan S.; Rozza, Gianluigi; Stamm, Benjamin 340 2016 On the stability of the reduced basis method for Stokes equations in parametrized domains. Zbl 1173.76352 Rozza, Gianluigi; Veroy, Karen 122 2007 A successive constraint linear optimization method for lower bounds of parametric coercivity and inf-sup stability constants. Zbl 1127.65086 Huynh, D. B. P.; Rozza, G.; Sen, S.; Patera, A. T. 115 2007 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 Reduced order methods for modeling and computational reduction. Zbl 1280.65004 62 2014 Finite volume POD-Galerkin stabilised reduced order methods for the parametrised incompressible Navier-Stokes equations. Zbl 1410.76264 Stabile, Giovanni; Rozza, Gianluigi 60 2018 Numerical solution of parametrized Navier-Stokes equations by reduced basis methods. Zbl 1178.76238 Quarteroni, Alfio; Rozza, Gianluigi 55 2007 Reduced basis approximation and a posteriori error estimation for the time-dependent viscous Burgers’ equation. Zbl 1178.65109 Nguyen, Ngoc-Cuong; Rozza, Gianluigi; Patera, Anthony T. 50 2009 Reduced basis method for parametrized elliptic optimal control problems. Zbl 1280.49046 Negri, Federico; Rozza, Gianluigi; Manzoni, Andrea; Quarteroni, Alfio 46 2013 Parametric free-form shape design with PDE models and reduced basis method. Zbl 1231.76245 Lassila, Toni; Rozza, Gianluigi 44 2010 Scientific machine learning through physics-informed neural networks: where we are and what’s next. Zbl 07568980 Cuomo, Salvatore; Schiano Di Cola, Vincenzo; Giampaolo, Fabio; Rozza, Gianluigi; Raissi, Maziar; Piccialli, Francesco 39 2022 A reduced basis hybrid method for the coupling of parametrized domains represented by fluidic networks. Zbl 1253.76139 Iapichino, Laura; Quarteroni, Alfio; Rozza, Gianluigi 39 2012 POD-Galerkin reduced order methods for CFD using finite volume discretisation: vortex shedding around a circular cylinder. Zbl 1383.35175 Stabile, Giovanni; Hijazi, Saddam; Mola, Andrea; Lorenzi, Stefano; Rozza, Gianluigi 38 2017 Comparison between reduced basis and stochastic collocation methods for elliptic problems. Zbl 1301.65007 Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi 36 2014 Reduced basis approximation of parametrized optimal flow control problems for the Stokes equations. Zbl 1421.49026 Negri, Federico; Manzoni, Andrea; Rozza, Gianluigi 36 2015 POD-Galerkin method for finite volume approximation of Navier-Stokes and RANS equations. Zbl 1439.76112 Lorenzi, Stefano; Cammi, Antonio; Luzzi, Lelio; Rozza, Gianluigi 36 2016 A weighted reduced basis method for elliptic partial differential equations with random input data. Zbl 1288.65007 Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi 35 2013 Reduced basis method for multi-parameter-dependent steady Navier-Stokes equations: applications to natural convection in a cavity. Zbl 1260.76024 Deparis, Simone; Rozza, Gianluigi 34 2009 Shape optimization for viscous flows by reduced basis methods and free-form deformation. Zbl 1412.76031 Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi 33 2012 Data-driven POD-Galerkin reduced order model for turbulent flows. Zbl 1437.76015 Hijazi, Saddam; Stabile, Giovanni; Mola, Andrea; Rozza, Gianluigi 33 2020 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 Reduced basis methods for uncertainty quantification. Zbl 1400.65010 Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi 30 2017 Stochastic optimal Robin boundary control problems of advection-dominated elliptic equations. Zbl 1281.49015 Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi 29 2013 Multilevel and weighted reduced basis method for stochastic optimal control problems constrained by Stokes equations. Zbl 1344.93109 Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi 28 2016 Optimal control and shape optimization of aorto-coronaric bypass anastomoses. Zbl 1063.49029 Quarteroni, Alfio; Rozza, Gianluigi 27 2003 On a certified Smagorinsky reduced basis turbulence model. Zbl 1380.65339 Chacón Rebollo, Tomás; Delgado Ávila, Enrique; Mármol, Macarena Gómez; Ballarin, Francesco; Rozza, Gianluigi 27 2017 Stabilized reduced basis method for parametrized advection-diffusion PDEs. Zbl 1296.65165 Pacciarini, Paolo; Rozza, Gianluigi 26 2014 Model reduction of parametrized systems. Selected contributions based on the presentations at the MoRePaS conference, SISSA, Trieste, Italy, October 13–16, 2015. Zbl 1381.65001 26 2017 A reduced order variational multiscale approach for turbulent flows. Zbl 1435.65165 Stabile, Giovanni; Ballarin, Francesco; Zuccarino, Giacomo; Rozza, Gianluigi 26 2019 A reduced basis method for evolution schemes with parameter-dependent explicit operators. Zbl 1391.76413 Haasdonk, B.; Ohlberger, M.; Rozza, G. 25 2008 Reduced basis approximation and error bounds for potential flows in parametrized geometries. Zbl 1284.76295 Rozza, Gianluigi 21 2011 Reduced basis method and domain decomposition for elliptic problems in networks and complex parametrized geometries. Zbl 1443.65340 Iapichino, Laura; Quarteroni, Alfio; Rozza, Gianluigi 20 2016 On optimization, control and shape design of an arterial bypass. Zbl 1155.76439 Rozza, Gianluigi 19 2005 Reduced basis approximation and a-posteriori error estimation for the coupled Stokes-Darcy system. Zbl 1336.76021 Martini, Immanuel; Rozza, Gianluigi; Haasdonk, Bernard 19 2015 A reduced basis approach for PDEs on parametrized geometries based on the shifted boundary finite element method and application to a Stokes flow. Zbl 1440.76073 Karatzas, Efthymios N.; Stabile, Giovanni; Nouveau, Leo; Scovazzi, Guglielmo; Rozza, Gianluigi 18 2019 Model reduction for parametrized optimal control problems in environmental marine sciences and engineering. Zbl 1395.49015 Strazzullo, Maria; Ballarin, Francesco; Mosetti, Renzo; Rozza, Gianluigi 18 2018 Projection-based reduced order models for a cut finite element method in parametrized domains. Zbl 1443.65348 Karatzas, Efthymios N.; Ballarin, Francesco; Rozza, Gianluigi 17 2020 Reduced basis method for linear elasticity problems with many parameters. Zbl 1194.74445 Milani, Roberto; Quarteroni, Alfio; Rozza, Gianluigi 17 2008 Stabilized reduced basis methods for parametrized steady Stokes and Navier-Stokes equations. Zbl 1524.76206 Ali, Shafqat; Ballarin, Francesco; Rozza, Gianluigi 16 2020 Reduced-basis methods for elliptic equations in sub-domains with a posteriori error bounds and adaptivity. Zbl 1112.65122 Rozza, Gianluigi 15 2005 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 Numerical approximation of a control problem for advection-diffusion processes. Zbl 1214.49029 Quarteroni, A.; Rozza, G.; Dedè, L.; Quaini, A. 14 2006 On the application of reduced basis methods to bifurcation problems in incompressible fluid dynamics. Zbl 1433.76122 Pitton, Giuseppe; Rozza, Gianluigi 14 2017 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 Shape design in aorto-coronaric bypass anastomoses using perturbation theory. Zbl 1120.49037 Agoshkov, Valery; Quarteroni, Alfio; Rozza, Gianluigi 13 2006 A weighted empirical interpolation method: a priori convergence analysis and applications. Zbl 1304.65097 Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi 13 2014 The neural network shifted-proper orthogonal decomposition: a machine learning approach for non-linear reduction of hyperbolic equations. Zbl 1507.65208 Papapicco, Davide; Demo, Nicola; Girfoglio, Michele; Stabile, Giovanni; Rozza, Gianluigi 13 2022 Computational reduction for parametrized PDEs: strategies and applications. Zbl 1432.65171 Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi 13 2012 Stabilized weighted reduced basis methods for parametrized advection dominated problems with random inputs. Zbl 1408.35021 Torlo, Davide; Ballarin, Francesco; Rozza, Gianluigi 13 2018 A reduced basis model with parametric coupling for fluid-structure interaction problems. Zbl 1390.74053 Lassila, Toni; Quarteroni, Alfio; Rozza, Gianluigi 12 2012 A reduced order approach for the embedded shifted boundary FEM and a heat exchange system on parametrized geometries. Zbl 1442.65376 Karatzas, Efthymios N.; Stabile, Giovanni; Atallah, Nabil; Scovazzi, Guglielmo; Rozza, Gianluigi 12 2020 A hybrid reduced order method for modelling turbulent heat transfer problems. Zbl 1502.65087 Georgaka, Sokratia; Stabile, Giovanni; Star, Kelbij; Rozza, Gianluigi; Bluck, Michael J. 12 2020 Reduced basis methods for time-dependent problems. Zbl 07674582 Hesthaven, Jan S.; Pagliantini, Cecilia; Rozza, Gianluigi 12 2022 A POD-Galerkin reduced order model for a LES filtering approach. Zbl 07513841 Girfoglio, Michele; Quaini, Annalisa; Rozza, Gianluigi 11 2021 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 Model order reduction. Volume 1: System- and data-driven methods and algorithms. Zbl 1473.93004 11 2021 Efficient geometrical parametrisation techniques of interfaces for reduced-order modelling: application to fluid-structure interaction coupling problems. Zbl 07512420 Forti, Davide; Rozza, Gianluigi 10 2014 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 A reduced-order shifted boundary method for parametrized incompressible Navier-Stokes equations. Zbl 1506.76086 Karatzas, Efthymios N.; Stabile, Giovanni; Nouveau, Leo; Scovazzi, Guglielmo; Rozza, Gianluigi 10 2020 A finite volume approximation of the Navier-Stokes equations with nonlinear filtering stabilization. Zbl 1474.76045 Girfoglio, Michele; Quaini, Annalisa; Rozza, Gianluigi 10 2019 Reduced-order semi-implicit schemes for fluid-structure interaction problems. Zbl 1464.76054 Ballarin, Francesco; Rozza, Gianluigi; Maday, Yvon 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 Fundamentals of reduced basis method for problems governed by parametrized PDEs and applications. Zbl 1312.93027 Rozza, Gianluigi 9 2014 Parametric POD-Galerkin model order reduction for unsteady-state heat transfer problems. Zbl 1473.78016 Georgaka, Sokratia; Stabile, Giovanni; Rozza, Gianluigi; Bluck, Michael J. 9 2020 Free-form deformation, mesh morphing and reduced-order methods: enablers for efficient aerodynamic shape optimisation. Zbl 07474453 Salmoiraghi, F.; Scardigli, A.; Telib, H.; Rozza, G. 9 2018 Reduced basis approaches for parametrized bifurcation problems held by non-linear von Kármán equations. Zbl 1427.35275 Pichi, Federico; Rozza, Gianluigi 8 2019 POD-Galerkin reduced order methods for combined Navier-Stokes transport equations based on a hybrid FV-FE solver. Zbl 1443.65196 Busto, Saray; Stabile, G.; Rozza, G.; Vázquez-Cendón, M. Elena 8 2020 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 Model order reduction. Volume 2: Snapshot-based methods and algorithms. Zbl 1455.93001 8 2021 Model order reduction. Volume 3: Applications. Zbl 1455.93002 8 2021 POD-Galerkin model order reduction for parametrized time dependent linear quadratic optimal control problems in saddle point formulation. Zbl 1444.49013 Strazzullo, Maria; Ballarin, Francesco; Rozza, Gianluigi 8 2020 A mathematical approach in the design of arterial bypass using unsteady Stokes equations. Zbl 1158.76452 Agoshkov, Valery; Quarteroni, Alfio; Rozza, Gianluigi 7 2006 Certified reduced basis VMS-Smagorinsky model for natural convection flow in a cavity with variable height. Zbl 1447.65067 Ballarin, Francesco; Chacón Rebollo, Tomás; Delgado Ávila, Enrique; Gómez Mármol, Macarena; Rozza, Gianluigi 7 2020 An improvement on geometrical parameterizations by transfinite maps. (Une amélioration pour les paramétrages géometriques par les transformations transfinies.) Zbl 1302.35167 Jäggli, Christoph; Iapichino, Laura; Rozza, Gianluigi 7 2014 Free form deformation techniques applied to 3D shape optimization problems. Zbl 1329.49091 Rozza, Gianluigi; Koshakji, Anwar; Quarteroni, Alfio 6 2013 On the comparison of LES data-driven reduced order approaches for hydroacoustic analysis. Zbl 1521.76210 Gadalla, Mahmoud; Cianferra, Marta; Tezzele, Marco; Stabile, Giovanni; Mola, Andrea; Rozza, Gianluigi 6 2021 Model order reduction: basic concepts and notation. Zbl 1480.93046 Benner, Peter; Grivet-Talocia, Stefano; Quarteroni, Alfio; Rozza, Gianluigi; Schilders, Wil; Silveira, Luís Miguel 6 2021 Consistency of the full and reduced order models for evolve-filter-relax regularization of convection-dominated, marginally-resolved flows. Zbl 07767903 Strazzullo, Maria; Girfoglio, Michele; Ballarin, Francesco; Iliescu, Traian; Rozza, Gianluigi 6 2022 An efficient computational framework for naval shape design and optimization problems by means of data-driven reduced order modeling techniques. Zbl 1516.65073 Demo, Nicola; Ortali, Giulio; Gustin, Gianluca; Rozza, Gianluigi; Lavini, Gianpiero 6 2021 Efficient computation of bifurcation diagrams with a deflated approach to reduced basis spectral element method. Zbl 1472.65152 Pintore, Moreno; Pichi, Federico; Hess, Martin; Rozza, Gianluigi; Canuto, Claudio 6 2021 Basic ideas and tools for projection-based model reduction of parametric partial differential equations. Zbl 1518.65120 Rozza, Gianluigi; Hess, Martin; Stabile, Giovanni; Tezzele, Marco; Ballarin, Francesco 6 2021 Reduced order methods for parametrized non-linear and time dependent optimal flow control problems, towards applications in biomedical and environmental sciences. Zbl 1478.49017 Strazzullo, Maria; Zainib, Zakia; Ballarin, Francesco; Rozza, Gianluigi 6 2021 Reduced basis approximation of parametrized advection-diffusion PDEs with high Péclet number. Zbl 1320.65180 Pacciarini, Paolo; Rozza, Gianluigi 5 2015 A weighted POD-reduction approach for parametrized PDE-constrained optimal control problems with random inputs and applications to environmental sciences. Zbl 1524.65771 Carere, Giuseppe; Strazzullo, Maria; Ballarin, Francesco; Rozza, Gianluigi; Stevenson, Rob 5 2021 Fluid-structure interaction simulations with a LES filtering approach in solids4Foam. Zbl 1474.74043 Girfoglio, Michele; Quaini, Annalisa; Rozza, Gianluigi 5 2021 A weighted POD method for elliptic PDEs with random inputs. Zbl 1462.65201 Venturi, Luca; Ballarin, Francesco; Rozza, Gianluigi 5 2019 A reduced order modeling technique to study bifurcating phenomena: application to the Gross-Pitaevskii equation. Zbl 1451.65227 Pichi, Federico; Quaini, Annalisa; Rozza, Gianluigi 5 2020 On computing upper and lower bounds on the outputs of linear elasticity problems approximated by the smoothed finite element method. Zbl 1193.74160 Xuan, Z. C.; Lassila, T.; Rozza, G.; Quarteroni, A. 5 2010 A Gaussian process regression approach within a data-driven POD framework for engineering problems in fluid dynamics. Zbl 1500.76072 Ortali, Giulio; Demo, Nicola; Rozza, Gianluigi 5 2022 Driving bifurcating parametrized nonlinear PDEs by optimal control strategies: application to Navier-Stokes equations with model order reduction. Zbl 1497.35389 Pichi, Federico; Strazzullo, Maria; Ballarin, Francesco; Rozza, Gianluigi 5 2022 Reduced basis model order reduction for Navier-Stokes equations in domains with walls of varying curvature. Zbl 1482.76089 Hess, Martin W.; Quaini, Annalisa; Rozza, Gianluigi 5 2020 A reduced order model for a stable embedded boundary parametrized Cahn-Hilliard phase-field system based on cut finite elements. Zbl 1500.65063 Karatzas, Efthymios N.; Rozza, Gianluigi 5 2021 Certified reduced basis approximation for the coupling of viscous and inviscid parametrized flow models. Zbl 1398.76116 Martini, Immanuel; Haasdonk, Bernard; Rozza, Gianluigi 4 2018 A novel iterative penalty method to enforce boundary conditions in finite volume POD-Galerkin reduced order models for fluid dynamics problems. Zbl 1473.65144 Star, S. Kelbij; Stabile, Giovanni; Belloni, Francesco; Rozza, Gianluigi; Degroote, Joris 4 2021 Reduced order isogeometric analysis approach for PDEs in parametrized domains. Zbl 1455.62227 Garotta, Fabrizio; Demo, Nicola; Tezzele, Marco; Carraturo, Massimo; Reali, Alessandro; Rozza, Gianluigi 4 2020 POD-Galerkin model order reduction for parametrized nonlinear time-dependent optimal flow control: an application to shallow water equations. Zbl 1490.65210 Strazzullo, Maria; Ballarin, Francesco; Rozza, Gianluigi 4 2022 Non-linear manifold reduced-order models with convolutional autoencoders and reduced over-collocation method. Zbl 07698834 Romor, Francesco; Stabile, Giovanni; Rozza, Gianluigi 4 2023 A data-driven surrogate modeling approach for time-dependent incompressible Navier-Stokes equations with dynamic mode decomposition and manifold interpolation. Zbl 1514.35352 Hess, Martin W.; Quaini, Annalisa; Rozza, Gianluigi 3 2023 A novel large eddy simulation model for the quasi-geostrophic equations in a finite volume setting. Zbl 1502.65088 Girfoglio, Michele; Quaini, Annalisa; Rozza, Gianluigi 2 2023 Data-driven reduced order modelling for patient-specific hemodynamics of coronary artery bypass grafts with physical and geometrical parameters. Zbl 07682839 Siena, Pierfrancesco; Girfoglio, Michele; Ballarin, Francesco; Rozza, Gianluigi 2 2023 An extended physics informed neural network for preliminary analysis of parametric optimal control problems. Zbl 07703997 Demo, Nicola; Strazzullo, Maria; Rozza, Gianluigi 1 2023 Projection based semi-implicit partitioned reduced basis method for fluid-structure interaction problems. Zbl 1505.76059 Nonino, Monica; Ballarin, Francesco; Rozza, Gianluigi; Maday, Yvon 1 2023 Advanced reduced order methods and applications in computational fluid dynamics. Zbl 07647935 Rozza, Gianluigi; Stabile, Giovanni; Ballarin, Francesco 1 2023 Pressure data-driven variational multiscale reduced order models. Zbl 07652789 Ivagnes, Anna; Stabile, Giovanni; Mola, Andrea; Iliescu, Traian; Rozza, Gianluigi 1 2023 Hybrid data-driven closure strategies for reduced order modeling. Zbl 1511.76063 Ivagnes, Anna; Stabile, Giovanni; Mola, Andrea; Iliescu, Traian; Rozza, Gianluigi 1 2023 Scientific machine learning through physics-informed neural networks: where we are and what’s next. Zbl 07568980 Cuomo, Salvatore; Schiano Di Cola, Vincenzo; Giampaolo, Fabio; Rozza, Gianluigi; Raissi, Maziar; Piccialli, Francesco 39 2022 The neural network shifted-proper orthogonal decomposition: a machine learning approach for non-linear reduction of hyperbolic equations. Zbl 1507.65208 Papapicco, Davide; Demo, Nicola; Girfoglio, Michele; Stabile, Giovanni; Rozza, Gianluigi 13 2022 Reduced basis methods for time-dependent problems. Zbl 07674582 Hesthaven, Jan S.; Pagliantini, Cecilia; Rozza, Gianluigi 12 2022 Consistency of the full and reduced order models for evolve-filter-relax regularization of convection-dominated, marginally-resolved flows. Zbl 07767903 Strazzullo, Maria; Girfoglio, Michele; Ballarin, Francesco; Iliescu, Traian; Rozza, Gianluigi 6 2022 A Gaussian process regression approach within a data-driven POD framework for engineering problems in fluid dynamics. Zbl 1500.76072 Ortali, Giulio; Demo, Nicola; Rozza, Gianluigi 5 2022 Driving bifurcating parametrized nonlinear PDEs by optimal control strategies: application to Navier-Stokes equations with model order reduction. Zbl 1497.35389 Pichi, Federico; Strazzullo, Maria; Ballarin, Francesco; Rozza, Gianluigi 5 2022 POD-Galerkin model order reduction for parametrized nonlinear time-dependent optimal flow control: an application to shallow water equations. Zbl 1490.65210 Strazzullo, Maria; Ballarin, Francesco; Rozza, Gianluigi 4 2022 Embedded domain reduced basis models for the shallow water hyperbolic equations with the shifted boundary method. Zbl 1507.76128 Zeng, Xianyi; Stabile, Giovanni; Karatzas, Efthymios N.; Scovazzi, Guglielmo; Rozza, Gianluigi 4 2022 A POD-Galerkin reduced order model for the Navier-Stokes equations in stream function-vorticity formulation. Zbl 1521.76333 Girfoglio, Michele; Quaini, Annalisa; Rozza, Gianluigi 4 2022 A comparison of reduced-order modeling approaches using artificial neural networks for PDEs with bifurcating solutions. Zbl 1487.65195 Hess, Martin W.; Quaini, Annalisa; Rozza, Gianluigi 3 2022 Verifiability of the data-driven variational multiscale reduced order model. Zbl 1503.65234 Koc, Birgul; Mou, Changhong; Liu, Honghu; Wang, Zhu; Rozza, Gianluigi; Iliescu, Traian 3 2022 An integrated data-driven computational pipeline with model order reduction for industrial and applied mathematics. Zbl 1496.74017 Tezzele, Marco; Demo, Nicola; Mola, Andrea; Rozza, Gianluigi 3 2022 Neural-network learning of SPOD latent dynamics. Zbl 07578895 Lario, Andrea; Maulik, Romit; Schmidt, Oliver T.; Rozza, Gianluigi; Mengaldo, Gianmarco 2 2022 Kernel-based active subspaces with application to computational fluid dynamics parametric problems using the discontinuous Galerkin method. Zbl 07769251 Romor, Francesco; Tezzele, Marco; Lario, Andrea; Rozza, Gianluigi 1 2022 A reduced order cut finite element method for geometrically parametrized steady and unsteady Navier-Stokes problems. Zbl 1524.76215 Karatzas, Efthymios N.; Nonino, Monica; Ballarin, Francesco; Rozza, Gianluigi 1 2022 Space-time POD-Galerkin approach for parametric flow control. Zbl 1495.49003 Ballarin, Francesco; Rozza, Gianluigi; Strazzullo, Maria 1 2022 A POD-Galerkin reduced order model for a LES filtering approach. Zbl 07513841 Girfoglio, Michele; Quaini, Annalisa; Rozza, Gianluigi 11 2021 Model order reduction. Volume 1: System- and data-driven methods and algorithms. Zbl 1473.93004 11 2021 Model order reduction. Volume 2: Snapshot-based methods and algorithms. Zbl 1455.93001 8 2021 Model order reduction. Volume 3: Applications. Zbl 1455.93002 8 2021 On the comparison of LES data-driven reduced order approaches for hydroacoustic analysis. Zbl 1521.76210 Gadalla, Mahmoud; Cianferra, Marta; Tezzele, Marco; Stabile, Giovanni; Mola, Andrea; Rozza, Gianluigi 6 2021 Model order reduction: basic concepts and notation. Zbl 1480.93046 Benner, Peter; Grivet-Talocia, Stefano; Quarteroni, Alfio; Rozza, Gianluigi; Schilders, Wil; Silveira, Luís Miguel 6 2021 An efficient computational framework for naval shape design and optimization problems by means of data-driven reduced order modeling techniques. Zbl 1516.65073 Demo, Nicola; Ortali, Giulio; Gustin, Gianluca; Rozza, Gianluigi; Lavini, Gianpiero 6 2021 Efficient computation of bifurcation diagrams with a deflated approach to reduced basis spectral element method. Zbl 1472.65152 Pintore, Moreno; Pichi, Federico; Hess, Martin; Rozza, Gianluigi; Canuto, Claudio 6 2021 Basic ideas and tools for projection-based model reduction of parametric partial differential equations. Zbl 1518.65120 Rozza, Gianluigi; Hess, Martin; Stabile, Giovanni; Tezzele, Marco; Ballarin, Francesco 6 2021 Reduced order methods for parametrized non-linear and time dependent optimal flow control problems, towards applications in biomedical and environmental sciences. Zbl 1478.49017 Strazzullo, Maria; Zainib, Zakia; Ballarin, Francesco; Rozza, Gianluigi 6 2021 A weighted POD-reduction approach for parametrized PDE-constrained optimal control problems with random inputs and applications to environmental sciences. Zbl 1524.65771 Carere, Giuseppe; Strazzullo, Maria; Ballarin, Francesco; Rozza, Gianluigi; Stevenson, Rob 5 2021 Fluid-structure interaction simulations with a LES filtering approach in solids4Foam. Zbl 1474.74043 Girfoglio, Michele; Quaini, Annalisa; Rozza, Gianluigi 5 2021 A reduced order model for a stable embedded boundary parametrized Cahn-Hilliard phase-field system based on cut finite elements. Zbl 1500.65063 Karatzas, Efthymios N.; Rozza, Gianluigi 5 2021 A novel iterative penalty method to enforce boundary conditions in finite volume POD-Galerkin reduced order models for fluid dynamics problems. Zbl 1473.65144 Star, S. Kelbij; Stabile, Giovanni; Belloni, Francesco; Rozza, Gianluigi; Degroote, Joris 4 2021 A supervised learning approach involving active subspaces for an efficient genetic algorithm in high-dimensional optimization problems. Zbl 07378153 Demo, Nicola; Tezzele, Marco; Rozza, Gianluigi 3 2021 A POD-Galerkin reduced order model of a turbulent convective buoyant flow of Sodium over a backward-facing step. Zbl 1479.76049 Star, Sabrina; Stabile, Giovanni; Rozza, Gianluigi; Degroote, Joris 3 2021 Hierarchical model reduction techniques for flow modeling in a parametrized setting. Zbl 1468.65209 Zancanaro, Matteo; Ballarin, Francesco; Perotto, Simona; Rozza, Gianluigi 2 2021 Data-driven POD-Galerkin reduced order model for turbulent flows. Zbl 1437.76015 Hijazi, Saddam; Stabile, Giovanni; Mola, Andrea; Rozza, Gianluigi 33 2020 Projection-based reduced order models for a cut finite element method in parametrized domains. Zbl 1443.65348 Karatzas, Efthymios N.; Ballarin, Francesco; Rozza, Gianluigi 17 2020 Stabilized reduced basis methods for parametrized steady Stokes and Navier-Stokes equations. Zbl 1524.76206 Ali, Shafqat; Ballarin, Francesco; Rozza, Gianluigi 16 2020 A reduced order approach for the embedded shifted boundary FEM and a heat exchange system on parametrized geometries. Zbl 1442.65376 Karatzas, Efthymios N.; Stabile, Giovanni; Atallah, Nabil; Scovazzi, Guglielmo; Rozza, Gianluigi 12 2020 A hybrid reduced order method for modelling turbulent heat transfer problems. Zbl 1502.65087 Georgaka, Sokratia; Stabile, Giovanni; Star, Kelbij; Rozza, Gianluigi; Bluck, Michael J. 12 2020 A reduced-order shifted boundary method for parametrized incompressible Navier-Stokes equations. Zbl 1506.76086 Karatzas, Efthymios N.; Stabile, Giovanni; Nouveau, Leo; Scovazzi, Guglielmo; Rozza, Gianluigi 10 2020 Parametric POD-Galerkin model order reduction for unsteady-state heat transfer problems. Zbl 1473.78016 Georgaka, Sokratia; Stabile, Giovanni; Rozza, Gianluigi; Bluck, Michael J. 9 2020 POD-Galerkin reduced order methods for combined Navier-Stokes transport equations based on a hybrid FV-FE solver. Zbl 1443.65196 Busto, Saray; Stabile, G.; Rozza, G.; Vázquez-Cendón, M. Elena 8 2020 POD-Galerkin model order reduction for parametrized time dependent linear quadratic optimal control problems in saddle point formulation. Zbl 1444.49013 Strazzullo, Maria; Ballarin, Francesco; Rozza, Gianluigi 8 2020 Certified reduced basis VMS-Smagorinsky model for natural convection flow in a cavity with variable height. Zbl 1447.65067 Ballarin, Francesco; Chacón Rebollo, Tomás; Delgado Ávila, Enrique; Gómez Mármol, Macarena; Rozza, Gianluigi 7 2020 A reduced order modeling technique to study bifurcating phenomena: application to the Gross-Pitaevskii equation. Zbl 1451.65227 Pichi, Federico; Quaini, Annalisa; Rozza, Gianluigi 5 2020 Reduced basis model order reduction for Navier-Stokes equations in domains with walls of varying curvature. Zbl 1482.76089 Hess, Martin W.; Quaini, Annalisa; Rozza, Gianluigi 5 2020 Reduced order isogeometric analysis approach for PDEs in parametrized domains. Zbl 1455.62227 Garotta, Fabrizio; Demo, Nicola; Tezzele, Marco; Carraturo, Massimo; Reali, Alessandro; Rozza, Gianluigi 4 2020 A spectral element reduced basis method for Navier-Stokes equations with geometric variations. Zbl 1484.65253 Hess, Martin W.; Quaini, Annalisa; Rozza, Gianluigi 2 2020 Non-intrusive polynomial chaos method applied to full-order and reduced problems in computational fluid dynamics: a comparison and perspectives. Zbl 1455.62159 Hijazi, Saddam; Stabile, Giovanni; Mola, Andrea; Rozza, Gianluigi 2 2020 Quantification of uncertainty: improving efficiency and technology. QUIET. Selected contributions based on the presentations at the international workshop, Trieste, Italy, July 18–21, 2017. Zbl 1454.62013 1 2020 A reduced order variational multiscale approach for turbulent flows. Zbl 1435.65165 Stabile, Giovanni; Ballarin, Francesco; Zuccarino, Giacomo; Rozza, Gianluigi 26 2019 A reduced basis approach for PDEs on parametrized geometries based on the shifted boundary finite element method and application to a Stokes flow. Zbl 1440.76073 Karatzas, Efthymios N.; Stabile, Giovanni; Nouveau, Leo; Scovazzi, Guglielmo; Rozza, Gianluigi 18 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 finite volume approximation of the Navier-Stokes equations with nonlinear filtering stabilization. Zbl 1474.76045 Girfoglio, Michele; Quaini, Annalisa; Rozza, Gianluigi 10 2019 Reduced basis approaches for parametrized bifurcation problems held by non-linear von Kármán equations. Zbl 1427.35275 Pichi, Federico; Rozza, Gianluigi 8 2019 A weighted POD method for elliptic PDEs with random inputs. Zbl 1462.65201 Venturi, Luca; Ballarin, Francesco; Rozza, Gianluigi 5 2019 Preface: Special issue on model reduction. Zbl 1481.00045 1 2019 Finite volume POD-Galerkin stabilised reduced order methods for the parametrised incompressible Navier-Stokes equations. Zbl 1410.76264 Stabile, Giovanni; Rozza, Gianluigi 60 2018 Model reduction for parametrized optimal control problems in environmental marine sciences and engineering. Zbl 1395.49015 Strazzullo, Maria; Ballarin, Francesco; Mosetti, Renzo; Rozza, Gianluigi 18 2018 Stabilized weighted reduced basis methods for parametrized advection dominated problems with random inputs. Zbl 1408.35021 Torlo, Davide; Ballarin, Francesco; Rozza, Gianluigi 13 2018 Free-form deformation, mesh morphing and reduced-order methods: enablers for efficient aerodynamic shape optimisation. Zbl 07474453 Salmoiraghi, F.; Scardigli, A.; Telib, H.; Rozza, G. 9 2018 Certified reduced basis approximation for the coupling of viscous and inviscid parametrized flow models. Zbl 1398.76116 Martini, Immanuel; Haasdonk, Bernard; Rozza, Gianluigi 4 2018 A spectral element reduced basis method in parametric CFD. Zbl 1425.76175 Hess, Martin W.; Rozza, Gianluigi 3 2018 Reduced basis approximation and a posteriori error estimation: applications to elasticity problems in several parametric settings. Zbl 1416.65452 Huynh, Dinh Bao Phuong; Pichi, Federico; Rozza, Gianluigi 2 2018 Mathematical and numerical modeling of the cardiovascular system and applications. Selected invited papers based on the presentations at the conference, Pavia, Italy, February 21–22, 2017. Zbl 1404.92007 1 2018 POD-Galerkin reduced order methods for CFD using finite volume discretisation: vortex shedding around a circular cylinder. Zbl 1383.35175 Stabile, Giovanni; Hijazi, Saddam; Mola, Andrea; Lorenzi, Stefano; Rozza, Gianluigi 38 2017 Reduced basis methods for uncertainty quantification. Zbl 1400.65010 Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi 30 2017 On a certified Smagorinsky reduced basis turbulence model. Zbl 1380.65339 Chacón Rebollo, Tomás; Delgado Ávila, Enrique; Mármol, Macarena Gómez; Ballarin, Francesco; Rozza, Gianluigi 27 2017 Model reduction of parametrized systems. Selected contributions based on the presentations at the MoRePaS conference, SISSA, Trieste, Italy, October 13–16, 2015. Zbl 1381.65001 26 2017 On the application of reduced basis methods to bifurcation problems in incompressible fluid dynamics. Zbl 1433.76122 Pitton, Giuseppe; Rozza, Gianluigi 14 2017 Reduced-order semi-implicit schemes for fluid-structure interaction problems. Zbl 1464.76054 Ballarin, Francesco; Rozza, Gianluigi; Maday, Yvon 9 2017 Certified reduced basis method for affinely parametric isogeometric analysis NURBS approximation. Zbl 1382.65387 Devaud, Denis; Rozza, Gianluigi 2 2017 A reduced order model for investigating the dynamics of the Gen-IV LFR coolant pool. Zbl 1443.76050 Lorenzi, Stefano; Cammi, Antonio; Luzzi, Lelio; Rozza, Gianluigi 1 2017 Certified reduced basis methods for parametrized partial differential equations. Zbl 1329.65203 Hesthaven, Jan S.; Rozza, Gianluigi; Stamm, Benjamin 340 2016 POD-Galerkin method for finite volume approximation of Navier-Stokes and RANS equations. Zbl 1439.76112 Lorenzi, Stefano; Cammi, Antonio; Luzzi, Lelio; Rozza, Gianluigi 36 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 Multilevel and weighted reduced basis method for stochastic optimal control problems constrained by Stokes equations. Zbl 1344.93109 Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi 28 2016 Reduced basis method and domain decomposition for elliptic problems in networks and complex parametrized geometries. Zbl 1443.65340 Iapichino, Laura; Quarteroni, Alfio; Rozza, Gianluigi 20 2016 Reduced basis approaches in time-dependent non-coercive settings for modelling the movement of nuclear reactor control rods. Zbl 1388.65106 Sartori, Alberto; Cammi, Antonio; Luzzi, Lelio; Rozza, Gianluigi 2 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 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 approximation and a-posteriori error estimation for the coupled Stokes-Darcy system. Zbl 1336.76021 Martini, Immanuel; Rozza, Gianluigi; Haasdonk, Bernard 19 2015 Reduced basis approximation of parametrized advection-diffusion PDEs with high Péclet number. Zbl 1320.65180 Pacciarini, Paolo; Rozza, Gianluigi 5 2015 Model order reduction in fluid dynamics: challenges and perspectives. Zbl 1395.76058 Lassila, Toni; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi 70 2014 Reduced order methods for modeling and computational reduction. Zbl 1280.65004 62 2014 Comparison between reduced basis and stochastic collocation methods for elliptic problems. Zbl 1301.65007 Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi 36 2014 Stabilized reduced basis method for parametrized advection-diffusion PDEs. Zbl 1296.65165 Pacciarini, Paolo; Rozza, Gianluigi 26 2014 A weighted empirical interpolation method: a priori convergence analysis and applications. Zbl 1304.65097 Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi 13 2014 Efficient geometrical parametrisation techniques of interfaces for reduced-order modelling: application to fluid-structure interaction coupling problems. Zbl 07512420 Forti, Davide; Rozza, Gianluigi 10 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 Fundamentals of reduced basis method for problems governed by parametrized PDEs and applications. Zbl 1312.93027 Rozza, Gianluigi 9 2014 An improvement on geometrical parameterizations by transfinite maps. (Une amélioration pour les paramétrages géometriques par les transformations transfinies.) Zbl 1302.35167 Jäggli, Christoph; Iapichino, Laura; Rozza, Gianluigi 7 2014 ...and 37 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,828 Authors 112 Rozza, Gianluigi 35 Manzoni, Andrea 35 Quarteroni, Alfio M. 32 Hesthaven, Jan S. 32 Patera, Anthony T. 26 Ballarin, Francesco 26 Benner, Peter 25 Maday, Yvon 24 Iliescu, Traian 24 Stabile, Giovanni 22 Peherstorfer, Benjamin 20 Chen, Yanlai 19 Ohlberger, Mario 19 Willcox, Karen E. 18 Haasdonk, Bernard 16 Chen, Peng 16 Luo, Zhendong 16 Taddei, Tommaso 16 Veroy, Karen 15 Urban, Karsten 15 Yano, Masayuki 14 Chacón Rebollo, Tomás 14 Grepl, Martin A. 14 Nguyen, Ngoc Cuong 14 Schwab, Christoph 13 Quaini, Annalisa 12 Girfoglio, Michele 12 Gugercin, Serkan 12 Hess, Martin Wilfried 12 Knezevic, David J. 12 Rave, Stephan David 11 Carlberg, Kevin T. 11 Chinesta, Francisco 11 Cohen, Albert 11 Deparis, Simone 11 Farhat, Charbel H. 11 Huynh, Dinh Bao Phuong 11 Navon, Ionel Michael 11 San, Omer 10 Abdulle, Assyr 10 Gunzburger, Max D. 10 Hinze, Michael 10 Jiang, Lijian 10 Karatzas, Efthymios N. 10 Narayan, Akil C. 10 Néron, David 10 Smetana, Kathrin 10 Volkwein, Stefan 9 Demo, Nicola 9 Huerta, Antonio 9 Strazzullo, Maria 9 Wang, Zhu 8 Bordas, Stéphane Pierre Alain 8 Choi, Youngsoo 8 Dahmen, Wolfgang A. 8 Fang, Fangxin 8 Feng, Lihong 8 Ghattas, Omar N. 8 Guo, Mengwu 8 Iapichino, Laura 8 Li, Qiuqi 8 Nobile, Fabio 8 Pain, Christopher C. 8 Rubino, Samuele 8 Scovazzi, Guglielmo 8 Xiao, Dunhui 7 Amsallem, David 7 Azaïez, Mejdi 7 Cueto, Elias 7 Dal Santo, Niccolò 7 Eftang, Jens L. 7 Gómez Mármol, Macarena 7 Kouri, Drew P. 7 Ladevèze, Pierre 7 Mula, Olga 7 Perotto, Simona 6 Aguado, Jose Vicente 6 Dede’, Luca 6 Iollo, Angelo 6 Karasözen, Bülent 6 Kerfriden, Pierre 6 Koc, Birgul 6 Krämer, Boris 6 Lanteri, Stéphane 6 Li, Kun 6 Li, Liang 6 Mola, Andrea 6 Mou, Changhong 6 Nouy, Anthony 6 Parish, Eric J. 6 Schindler, Felix 6 Schneier, Michael 6 Veneziani, Alessandro 6 Zahr, Matthew J. 6 Zhang, Zhiwen 6 Zhu, Shengfeng 5 Ahmed, Shady E. 5 Antil, Harbir 5 Bai, Yun 5 Bonizzoni, Francesca ...and 1,728 more Authors all top 5 Cited in 146 Serials 186 Computer Methods in Applied Mechanics and Engineering 145 Journal of Computational Physics 83 SIAM Journal on Scientific Computing 60 Journal of Scientific Computing 50 International Journal for Numerical Methods in Engineering 46 Advances in Computational Mathematics 33 Computers & Mathematics with Applications 31 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 27 SIAM/ASA Journal on Uncertainty Quantification 26 Computers and Fluids 25 Journal of Computational and Applied Mathematics 20 Computational Mechanics 20 Comptes Rendus. 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Mathematics of Control, Signals, and Systems 1 European Journal of Applied Mathematics 1 Annals of Operations Research 1 Applications of Mathematics ...and 46 more Serials all top 5 Cited in 42 Fields 909 Numerical analysis (65-XX) 388 Partial differential equations (35-XX) 377 Fluid mechanics (76-XX) 153 Mechanics of deformable solids (74-XX) 124 Calculus of variations and optimal control; optimization (49-XX) 121 Computer science (68-XX) 80 Systems theory; control (93-XX) 73 Probability theory and stochastic processes (60-XX) 69 Statistics (62-XX) 65 Biology and other natural sciences (92-XX) 55 Operations research, mathematical programming (90-XX) 46 Optics, electromagnetic theory (78-XX) 41 Approximations and expansions (41-XX) 39 Dynamical systems and ergodic theory (37-XX) 24 Classical thermodynamics, heat transfer (80-XX) 19 Geophysics (86-XX) 17 Linear and multilinear algebra; matrix theory (15-XX) 16 Statistical mechanics, structure of matter (82-XX) 11 Ordinary differential equations (34-XX) 10 Operator theory (47-XX) 8 Real functions (26-XX) 8 Mechanics of particles and systems (70-XX) 7 Functional analysis (46-XX) 6 Quantum theory (81-XX) 5 Functions of a complex variable (30-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Information and communication theory, circuits (94-XX) 4 Combinatorics (05-XX) 4 Integral equations (45-XX) 3 General and overarching topics; collections (00-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Relativity and gravitational theory (83-XX) 2 Integral transforms, operational calculus (44-XX) 2 Differential geometry (53-XX) 2 Mathematics education (97-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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