Edit Profile (opens in new tab) Rozza, Gianluigi Compute Distance To: Compute Author ID: rozza.gianluigi Published as: Rozza, Gianluigi; Rozza, G. External Links: MGP · ORCID · dblp Documents Indexed: 109 Publications since 2003, including 1 Book 13 Contributions as Editor Co-Authors: 108 Co-Authors with 116 Joint Publications 2,259 Co-Co-Authors all top 5 Co-Authors 6 single-authored 34 Quarteroni, Alfio M. 17 Ballarin, Francesco 17 Manzoni, Andrea 16 Stabile, Giovanni 11 Lassila, Toni 8 Quaini, Annalisa 7 Benner, Peter 7 Hess, Martin Wilfried 6 Chen, Peng 5 Grivet-Talocia, Stefano 5 Karatzas, Efthymios N. 5 Patera, Anthony T. 5 Perotto, Simona 5 Silveira, Luís Miguel 4 Demo, Nicola 4 Girfoglio, Michele 4 Huynh, Dinh Bao Phuong 4 Mola, Andrea 4 Pichi, Federico 4 Schilders, Wil H. A. 4 Strazzullo, Maria 4 Tezzele, Marco 3 Cammi, Antonio 3 Devaud, Denis 3 Haasdonk, Bernard 3 Hijazi, Saddam 3 Iapichino, Laura 3 Lorenzi, Stefano 3 Luzzi, Lelio 3 Ohlberger, Mario 3 Scovazzi, Guglielmo 2 Agoshkov, Valeriĭ Ivanovich 2 Bluck, Michael J. 2 Chacón Rebollo, Tomás 2 Corsini, Alessandro 2 Degroote, Joris 2 Delgado Ávila, Enrique 2 Georgaka, Sokratia 2 Gómez Mármol, Macarena 2 Gunzburger, Max D. 2 Martini, Immanuel 2 Negri, Federico 2 Nouveau, Léo 2 Pacciarini, Paolo 2 Urban, Karsten 2 Van Brummelen, Harald 1 Ali, Shafqat 1 Alla, Alessandro 1 Atallah, Nabil M. 1 Belloni, Francesco 1 Boffi, Daniele 1 Busto, Saray 1 Canuto, Claudio 1 Carere, Giuseppe 1 Carraturo, Massimo 1 Cianferra, Marta 1 Dede’, Luca 1 D’Elia, Marta 1 Deparis, Simone 1 Di Pietro, Daniele Antonio 1 Ern, Alexandre 1 Faggiano, Elena 1 Formaggia, Luca 1 Forti, Davide 1 Gadalla, Mahmoud 1 Garotta, Fabrizio 1 Gelsomino, Fabrizio 1 Gustin, Gianluca 1 Hesthaven, Jan S. 1 Ippolito, Sonia 1 Jäggli, Christoph 1 Koshakji, Anwar 1 Lavini, Gianpiero 1 Lelièvre, Tony 1 Maday, Yvon 1 Milani, Roberto 1 Mosetti, Renzo 1 Nguyen, Ngoc Cuong 1 Ortali, Giulio 1 Papapicco, Davide 1 Pavarino, Luca Franco 1 Pintore, Moreno 1 Pitton, Giuseppe 1 Reali, Alessandro 1 Salmoiraghi, Filippo 1 Salsa, Sandro 1 Sartori, Alberto 1 Scacchi, Simone 1 Scardigli, Angela 1 Schilders, Wilhelmus H. A. 1 Scrofani, Roberto 1 Shah, Nirav Vasant 1 Sorensen, Danny C. 1 Stamm, Benjamin 1 Star, Kelbij 1 Star, S. Kelbij 1 Star, Sabrina 1 Stevenson, Rob P. 1 Telib, Haysam 1 Torlo, Davide ...and 8 more Co-Authors all top 5 Serials 10 Computer Methods in Applied Mechanics and Engineering 10 Journal of Scientific Computing 7 Computers & Mathematics with Applications 5 Computers and Fluids 5 SIAM Journal on Scientific Computing 4 Journal of Computational Physics 4 SIAM Journal on Numerical Analysis 4 Advances in Computational Mathematics 4 International Journal of Computational Fluid Dynamics 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Communications in Computational Physics 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Communications in Applied and Industrial Mathematics 2 International Journal for Numerical Methods in Fluids 2 International Journal for Numerical Methods in Engineering 2 Numerische Mathematik 2 Applied Mathematical Modelling 2 Lecture Notes in Computational Science and Engineering 2 MS&A. Modeling, Simulation and Applications 2 SIAM/ASA Journal on Uncertainty Quantification 1 Calcolo 1 Applied Numerical Mathematics 1 Numerical Methods for Partial Differential Equations 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 SIAM Review 1 ETNA. Electronic Transactions on Numerical Analysis 1 Mathematical and Computer Modelling of Dynamical Systems 1 Archives of Computational Methods in Engineering 1 Milan Journal of Mathematics 1 Multiscale Modeling & Simulation 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 all top 5 Fields 91 Numerical analysis (65-XX) 58 Fluid mechanics (76-XX) 47 Partial differential equations (35-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 14 General and overarching topics; collections (00-XX) 13 Mechanics of deformable solids (74-XX) 11 Systems theory; control (93-XX) 10 Biology and other natural sciences (92-XX) 7 Probability theory and stochastic processes (60-XX) 4 Statistics (62-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Operations research, mathematical programming (90-XX) 2 Computer science (68-XX) 2 Optics, electromagnetic theory (78-XX) 2 Mathematics education (97-XX) 1 Combinatorics (05-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 94 Publications have been cited 1,925 times in 804 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 1304.65251Rozza, G.; Huynh, D. B. P.; Patera, A. T. 335 2008 Certified reduced basis methods for parametrized partial differential equations. Zbl 1329.65203Hesthaven, Jan S.; Rozza, Gianluigi; Stamm, Benjamin 219 2016 A successive constraint linear optimization method for lower bounds of parametric coercivity and inf-sup stability constants. Zbl 1127.65086Huynh, D. B. P.; Rozza, G.; Sen, S.; Patera, A. T. 101 2007 On the stability of the reduced basis method for Stokes equations in parametrized domains. Zbl 1173.76352Rozza, Gianluigi; Veroy, Karen 95 2007 Certified reduced basis approximation for parametrized partial differential equations and applications. Zbl 1273.65148Quarteroni, Alfio; Rozza, Gianluigi; Manzoni, Andrea 83 2011 Supremizer stabilization of POD-Galerkin approximation of parametrized steady incompressible Navier-Stokes equations. Zbl 1352.76039Ballarin, Francesco; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi 67 2015 Reduced basis approximation and a posteriori error estimation for Stokes flows in parametrized geometries: roles of the inf-sup stability constants. Zbl 1318.76006Rozza, Gianluigi; Huynh, D. B. Phuong; Manzoni, Andrea 52 2013 Reduced basis approximation and a posteriori error estimation for the time-dependent viscous Burgers’ equation. Zbl 1178.65109Nguyen, Ngoc-Cuong; Rozza, Gianluigi; Patera, Anthony T. 45 2009 Numerical solution of parametrized Navier-Stokes equations by reduced basis methods. Zbl 1178.76238Quarteroni, Alfio; Rozza, Gianluigi 44 2007 Model order reduction in fluid dynamics: challenges and perspectives. Zbl 1395.76058Lassila, Toni; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi 41 2014 Parametric free-form shape design with PDE models and reduced basis method. Zbl 1231.76245Lassila, Toni; Rozza, Gianluigi 37 2010 Reduced order methods for modeling and computational reduction. Zbl 1280.65004 35 2014 Reduced basis method for parametrized elliptic optimal control problems. Zbl 1280.49046Negri, Federico; Rozza, Gianluigi; Manzoni, Andrea; Quarteroni, Alfio 34 2013 Finite volume POD-Galerkin stabilised reduced order methods for the parametrised incompressible Navier-Stokes equations. Zbl 1410.76264Stabile, Giovanni; Rozza, Gianluigi 32 2018 A reduced basis hybrid method for the coupling of parametrized domains represented by fluidic networks. Zbl 1253.76139Iapichino, Laura; Quarteroni, Alfio; Rozza, Gianluigi 30 2012 A weighted reduced basis method for elliptic partial differential equations with random input data. Zbl 1288.65007Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi 30 2013 POD-Galerkin reduced order methods for CFD using finite volume discretisation: vortex shedding around a circular cylinder. Zbl 1383.35175Stabile, Giovanni; Hijazi, Saddam; Mola, Andrea; Lorenzi, Stefano; Rozza, Gianluigi 29 2017 Reduced basis method for multi-parameter-dependent steady Navier-Stokes equations: applications to natural convection in a cavity. Zbl 1260.76024Deparis, Simone; Rozza, Gianluigi 26 2009 Comparison between reduced basis and stochastic collocation methods for elliptic problems. Zbl 1301.65007Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi 26 2014 Optimal control and shape optimization of aorto-coronaric bypass anastomoses. Zbl 1063.49029Quarteroni, Alfio; Rozza, Gianluigi 25 2003 Reduced basis approximation of parametrized optimal flow control problems for the Stokes equations. Zbl 1421.49026Negri, Federico; Manzoni, Andrea; Rozza, Gianluigi 23 2015 Multilevel and weighted reduced basis method for stochastic optimal control problems constrained by Stokes equations. Zbl 1344.93109Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi 23 2016 A reduced basis method for evolution schemes with parameter-dependent explicit operators. Zbl 1391.76413Haasdonk, B.; Ohlberger, M.; Rozza, G. 22 2008 Stochastic optimal Robin boundary control problems of advection-dominated elliptic equations. Zbl 1281.49015Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi 22 2013 Reduced basis methods for uncertainty quantification. Zbl 1400.65010Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi 21 2017 Fast simulations of patient-specific haemodynamics of coronary artery bypass grafts based on a POD-Galerkin method and a vascular shape parametrization. Zbl 1349.76173Ballarin, Francesco; Faggiano, Elena; Ippolito, Sonia; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi; Scrofani, Roberto 20 2016 Stabilized reduced basis method for parametrized advection-diffusion PDEs. Zbl 1296.65165Pacciarini, Paolo; Rozza, Gianluigi 17 2014 On optimization, control and shape design of an arterial bypass. Zbl 1155.76439Rozza, Gianluigi 17 2005 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 15 2017 Reduced basis method for linear elasticity problems with many parameters. Zbl 1194.74445Milani, Roberto; Quarteroni, Alfio; Rozza, Gianluigi 15 2008 On a certified Smagorinsky reduced basis turbulence model. Zbl 1380.65339Chacón Rebollo, Tomás; Delgado Ávila, Enrique; Mármol, Macarena Gómez; Ballarin, Francesco; Rozza, Gianluigi 15 2017 Reduced basis approximation and error bounds for potential flows in parametrized geometries. Zbl 1284.76295Rozza, Gianluigi 14 2011 Data-driven POD-Galerkin reduced order model for turbulent flows. Zbl 1437.76015Hijazi, Saddam; Stabile, Giovanni; Mola, Andrea; Rozza, Gianluigi 14 2020 Shape optimization for viscous flows by reduced basis methods and free-form deformation. Zbl 1412.76031Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi 14 2012 A reduced order variational multiscale approach for turbulent flows. Zbl 1435.65165Stabile, Giovanni; Ballarin, Francesco; Zuccarino, Giacomo; Rozza, Gianluigi 14 2019 Reduced basis approximation and a-posteriori error estimation for the coupled Stokes-Darcy system. Zbl 1336.76021Martini, Immanuel; Rozza, Gianluigi; Haasdonk, Bernard 13 2015 Reduced-basis methods for elliptic equations in sub-domains with a posteriori error bounds and adaptivity. Zbl 1112.65122Rozza, Gianluigi 13 2005 A weighted empirical interpolation method: a priori convergence analysis and applications. Zbl 1304.65097Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi 13 2014 Shape design in aorto-coronaric bypass anastomoses using perturbation theory. Zbl 1120.49037Agoshkov, Valery; Quarteroni, Alfio; Rozza, Gianluigi 12 2006 POD-Galerkin method for finite volume approximation of Navier-Stokes and RANS equations. Zbl 1439.76112Lorenzi, Stefano; Cammi, Antonio; Luzzi, Lelio; Rozza, Gianluigi 11 2016 Reduced basis approximation for shape optimization in thermal flows with a parametrized polynomial geometric map. Zbl 1430.76366Rozza, Gianluigi; Lassila, Toni; Manzoni, Andrea 11 2011 Stabilized weighted reduced basis methods for parametrized advection dominated problems with random inputs. Zbl 1408.35021Torlo, Davide; Ballarin, Francesco; Rozza, Gianluigi 10 2018 Shape optimization by free-form deformation: existence results and numerical solution for Stokes flows. Zbl 1303.49017Ballarin, Francesco; Manzoni, Andrea; Rozza, Gianluigi; Salsa, Sandro 9 2014 Boundary control and shape optimization for the robust design of bypass anastomoses under uncertainty. Zbl 1402.92246Lassila, Toni; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi 9 2013 A reduced basis model with parametric coupling for fluid-structure interaction problems. Zbl 1390.74053Lassila, Toni; Quarteroni, Alfio; Rozza, Gianluigi 9 2012 On the application of reduced basis methods to bifurcation problems in incompressible fluid dynamics. Zbl 1433.76122Pitton, Giuseppe; Rozza, Gianluigi 9 2017 Computational reduction for parametrized PDEs: strategies and applications. Zbl 1432.65171Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi 8 2012 On the approximation of stability factors for general parametrized partial differential equations with a two-level affine decomposition. Zbl 1276.65069Lassila, Toni; Manzoni, Andrea; Rozza, Gianluigi 8 2012 Numerical approximation of a control problem for advection-diffusion processes. Zbl 1214.49029Quarteroni, A.; Rozza, G.; Dedè, L.; Quaini, A. 8 2006 A mathematical approach in the design of arterial bypass using unsteady Stokes equations. Zbl 1158.76452Agoshkov, Valery; Quarteroni, Alfio; Rozza, Gianluigi 7 2006 Model reduction for parametrized optimal control problems in environmental marine sciences and engineering. Zbl 1395.49015Strazzullo, Maria; Ballarin, Francesco; Mosetti, Renzo; Rozza, Gianluigi 7 2018 Generalized reduced basis methods and \(n\)-width estimates for the approximation of the solution manifold of parametric PDEs. Zbl 1347.41033Lassila, Toni; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi 7 2013 A reduced order approach for the embedded shifted boundary FEM and a heat exchange system on parametrized geometries. Zbl 1442.65376Karatzas, Efthymios N.; Stabile, Giovanni; Atallah, Nabil; Scovazzi, Guglielmo; Rozza, Gianluigi 6 2020 An improvement on geometrical parameterizations by transfinite maps. (Une amélioration pour les paramétrages géometriques par les transformations transfinies.) Zbl 1302.35167Jäggli, Christoph; Iapichino, Laura; Rozza, Gianluigi 6 2014 Fundamentals of reduced basis method for problems governed by parametrized PDEs and applications. Zbl 1312.93027Rozza, Gianluigi 5 2014 A reduced basis approach for PDEs on parametrized geometries based on the shifted boundary finite element method and application to a Stokes flow. Zbl 1440.76073Karatzas, Efthymios N.; Stabile, Giovanni; Nouveau, Leo; Scovazzi, Guglielmo; Rozza, Gianluigi 5 2019 A hybrid reduced order method for modelling turbulent heat transfer problems. Zbl 07335330Georgaka, Sokratia; Stabile, Giovanni; Star, Kelbij; Rozza, Gianluigi; Bluck, Michael J. 5 2020 POD-Galerkin reduced order methods for combined Navier-Stokes transport equations based on a hybrid FV-FE solver. Zbl 1443.65196Busto, Saray; Stabile, G.; Rozza, G.; Vázquez-Cendón, M. Elena 5 2020 On computing upper and lower bounds on the outputs of linear elasticity problems approximated by the smoothed finite element method. Zbl 1193.74160Xuan, Z. C.; Lassila, T.; Rozza, G.; Quarteroni, A. 5 2010 Projection-based reduced order models for a cut finite element method in parametrized domains. Zbl 1443.65348Karatzas, Efthymios N.; Ballarin, Francesco; Rozza, Gianluigi 4 2020 Reduced-order semi-implicit schemes for fluid-structure interaction problems. Zbl 1464.76054Ballarin, Francesco; Rozza, Gianluigi; Maday, Yvon 4 2017 Basic ideas and tools for projection-based model reduction of parametric partial differential equations. Zbl 07358909Rozza, Gianluigi; Hess, Martin; Stabile, Giovanni; Tezzele, Marco; Ballarin, Francesco 4 2021 Free form deformation techniques applied to 3D shape optimization problems. Zbl 1329.49091Rozza, Gianluigi; Koshakji, Anwar; Quarteroni, Alfio 3 2013 Reduced basis approximation of parametrized advection-diffusion PDEs with high Péclet number. Zbl 1320.65180Pacciarini, Paolo; Rozza, Gianluigi 3 2015 A localized reduced-order modeling approach for PDEs with bifurcating solutions. Zbl 1441.65082Hess, Martin; Alla, Alessandro; Quaini, Annalisa; Rozza, Gianluigi; Gunzburger, Max 3 2019 Reduced basis approaches for parametrized bifurcation problems held by non-linear von Kármán equations. Zbl 1427.35275Pichi, Federico; Rozza, Gianluigi 3 2019 A weighted POD method for elliptic PDEs with random inputs. Zbl 1462.65201Venturi, Luca; Ballarin, Francesco; Rozza, Gianluigi 3 2019 Non-intrusive polynomial chaos method applied to full-order and reduced problems in computational fluid dynamics: a comparison and perspectives. Zbl 1455.62159Hijazi, Saddam; Stabile, Giovanni; Mola, Andrea; Rozza, Gianluigi 3 2020 Reduced basis method and domain decomposition for elliptic problems in networks and complex parametrized geometries. Zbl 1443.65340Iapichino, Laura; Quarteroni, Alfio; Rozza, Gianluigi 3 2016 Comparison and combination of reduced-order modelling techniques in 3D parametrized heat transfer problems. Zbl 1302.80014Gelsomino, Fabrizio; Rozza, Gianluigi 3 2011 A reduced-order shifted boundary method for parametrized incompressible Navier-Stokes equations. Zbl 07337130Karatzas, Efthymios N.; Stabile, Giovanni; Nouveau, Leo; Scovazzi, Guglielmo; Rozza, Gianluigi 3 2020 On the comparison of LES data-driven reduced order approaches for hydroacoustic analysis. Zbl 07426138Gadalla, Mahmoud; Cianferra, Marta; Tezzele, Marco; Stabile, Giovanni; Mola, Andrea; Rozza, Gianluigi 3 2021 Model order reduction. Volume 1: System- and data-driven methods and algorithms. Zbl 1473.93004 2 2021 Model order reduction. Volume 3: Applications. Zbl 1455.93002 2 2021 POD-Galerkin model order reduction for parametrized time dependent linear quadratic optimal control problems in saddle point formulation. Zbl 1444.49013Strazzullo, Maria; Ballarin, Francesco; Rozza, Gianluigi 2 2020 A finite volume approximation of the Navier-Stokes equations with nonlinear filtering stabilization. Zbl 1474.76045Girfoglio, Michele; Quaini, Annalisa; Rozza, Gianluigi 2 2019 Reduced order isogeometric analysis approach for PDEs in parametrized domains. Zbl 1455.62227Garotta, Fabrizio; Demo, Nicola; Tezzele, Marco; Carraturo, Massimo; Reali, Alessandro; Rozza, Gianluigi 2 2020 Reduced basis approximation and a posteriori error estimation: applications to elasticity problems in several parametric settings. Zbl 1416.65452Huynh, Dinh Bao Phuong; Pichi, Federico; Rozza, Gianluigi 2 2018 Certified reduced basis approximation for the coupling of viscous and inviscid parametrized flow models. Zbl 1398.76116Martini, Immanuel; Haasdonk, Bernard; Rozza, Gianluigi 2 2018 Parametric POD-Galerkin model order reduction for unsteady-state heat transfer problems. Zbl 1473.78016Georgaka, Sokratia; Stabile, Giovanni; Rozza, Gianluigi; Bluck, Michael J. 2 2020 Model order reduction. Volume 2: Snapshot-based methods and algorithms. Zbl 1455.93001 1 2021 A spectral element reduced basis method in parametric CFD. Zbl 1425.76175Hess, Martin W.; Rozza, Gianluigi 1 2018 A reduced order model for investigating the dynamics of the Gen-IV LFR coolant pool. Zbl 1443.76050Lorenzi, Stefano; Cammi, Antonio; Luzzi, Lelio; Rozza, Gianluigi 1 2017 Hierarchical model reduction techniques for flow modeling in a parametrized setting. Zbl 1468.65209Zancanaro, Matteo; Ballarin, Francesco; Perotto, Simona; Rozza, Gianluigi 1 2021 A reduced order modeling technique to study bifurcating phenomena: application to the Gross-Pitaevskii equation. Zbl 1451.65227Pichi, Federico; Quaini, Annalisa; Rozza, Gianluigi 1 2020 An introduction to reduced basis method for parametrized PDEs. Zbl 1203.65260Rozza, Gianluigi 1 2010 Generalized reduced basis methods and \(n\)-width estimates for the approximation of the solution manifold of parametric PDEs. Zbl 1273.35024Lassila, Toni; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi 1 2013 Reduction strategies for shape dependent inverse problems in haemodynamics. Zbl 1266.49081Lassila, Toni; Manzoni, Andrea; Rozza, Gianluigi 1 2013 Model reduction of semiaffinely parameterized partial differential equations by two-level affine approximation. (Réduction de modèle pour des équations aux dérivées partielles paramétrisées semi-affinement par une approximation affine à deux niveaux.) Zbl 1211.35019Lassila, Toni; Rozza, Gianluigi 1 2011 Reduced basis approaches in time-dependent non-coercive settings for modelling the movement of nuclear reactor control rods. Zbl 1388.65106Sartori, Alberto; Cammi, Antonio; Luzzi, Lelio; Rozza, Gianluigi 1 2016 Certified reduced basis method for affinely parametric isogeometric analysis NURBS approximation. Zbl 1382.65387Devaud, Denis; Rozza, Gianluigi 1 2017 Stabilized reduced basis methods for parametrized steady Stokes and Navier-Stokes equations. Zbl 07283114Ali, Shafqat; Ballarin, Francesco; Rozza, Gianluigi 1 2020 An efficient computational framework for naval shape design and optimization problems by means of data-driven reduced order modeling techniques. Zbl 07342991Demo, Nicola; Ortali, Giulio; Gustin, Gianluca; Rozza, Gianluigi; Lavini, Gianpiero 1 2021 A novel iterative penalty method to enforce boundary conditions in finite volume POD-Galerkin reduced order models for fluid dynamics problems. Zbl 1473.65144Star, S. Kelbij; Stabile, Giovanni; Belloni, Francesco; Rozza, Gianluigi; Degroote, Joris 1 2021 Basic ideas and tools for projection-based model reduction of parametric partial differential equations. Zbl 07358909Rozza, Gianluigi; Hess, Martin; Stabile, Giovanni; Tezzele, Marco; Ballarin, Francesco 4 2021 On the comparison of LES data-driven reduced order approaches for hydroacoustic analysis. Zbl 07426138Gadalla, Mahmoud; Cianferra, Marta; Tezzele, Marco; Stabile, Giovanni; Mola, Andrea; Rozza, Gianluigi 3 2021 Model order reduction. Volume 1: System- and data-driven methods and algorithms. Zbl 1473.93004 2 2021 Model order reduction. Volume 3: Applications. Zbl 1455.93002 2 2021 Model order reduction. Volume 2: Snapshot-based methods and algorithms. Zbl 1455.93001 1 2021 Hierarchical model reduction techniques for flow modeling in a parametrized setting. Zbl 1468.65209Zancanaro, Matteo; Ballarin, Francesco; Perotto, Simona; Rozza, Gianluigi 1 2021 An efficient computational framework for naval shape design and optimization problems by means of data-driven reduced order modeling techniques. Zbl 07342991Demo, Nicola; Ortali, Giulio; Gustin, Gianluca; Rozza, Gianluigi; Lavini, Gianpiero 1 2021 A novel iterative penalty method to enforce boundary conditions in finite volume POD-Galerkin reduced order models for fluid dynamics problems. Zbl 1473.65144Star, S. Kelbij; Stabile, Giovanni; Belloni, Francesco; Rozza, Gianluigi; Degroote, Joris 1 2021 Data-driven POD-Galerkin reduced order model for turbulent flows. Zbl 1437.76015Hijazi, Saddam; Stabile, Giovanni; Mola, Andrea; Rozza, Gianluigi 14 2020 A reduced order approach for the embedded shifted boundary FEM and a heat exchange system on parametrized geometries. Zbl 1442.65376Karatzas, Efthymios N.; Stabile, Giovanni; Atallah, Nabil; Scovazzi, Guglielmo; Rozza, Gianluigi 6 2020 A hybrid reduced order method for modelling turbulent heat transfer problems. Zbl 07335330Georgaka, Sokratia; Stabile, Giovanni; Star, Kelbij; Rozza, Gianluigi; Bluck, Michael J. 5 2020 POD-Galerkin reduced order methods for combined Navier-Stokes transport equations based on a hybrid FV-FE solver. Zbl 1443.65196Busto, Saray; Stabile, G.; Rozza, G.; Vázquez-Cendón, M. Elena 5 2020 Projection-based reduced order models for a cut finite element method in parametrized domains. Zbl 1443.65348Karatzas, Efthymios N.; Ballarin, Francesco; Rozza, Gianluigi 4 2020 Non-intrusive polynomial chaos method applied to full-order and reduced problems in computational fluid dynamics: a comparison and perspectives. Zbl 1455.62159Hijazi, Saddam; Stabile, Giovanni; Mola, Andrea; Rozza, Gianluigi 3 2020 A reduced-order shifted boundary method for parametrized incompressible Navier-Stokes equations. Zbl 07337130Karatzas, Efthymios N.; Stabile, Giovanni; Nouveau, Leo; Scovazzi, Guglielmo; Rozza, Gianluigi 3 2020 POD-Galerkin model order reduction for parametrized time dependent linear quadratic optimal control problems in saddle point formulation. Zbl 1444.49013Strazzullo, Maria; Ballarin, Francesco; Rozza, Gianluigi 2 2020 Reduced order isogeometric analysis approach for PDEs in parametrized domains. Zbl 1455.62227Garotta, Fabrizio; Demo, Nicola; Tezzele, Marco; Carraturo, Massimo; Reali, Alessandro; Rozza, Gianluigi 2 2020 Parametric POD-Galerkin model order reduction for unsteady-state heat transfer problems. Zbl 1473.78016Georgaka, Sokratia; Stabile, Giovanni; Rozza, Gianluigi; Bluck, Michael J. 2 2020 A reduced order modeling technique to study bifurcating phenomena: application to the Gross-Pitaevskii equation. Zbl 1451.65227Pichi, Federico; Quaini, Annalisa; Rozza, Gianluigi 1 2020 Stabilized reduced basis methods for parametrized steady Stokes and Navier-Stokes equations. Zbl 07283114Ali, Shafqat; Ballarin, Francesco; Rozza, Gianluigi 1 2020 A reduced order variational multiscale approach for turbulent flows. Zbl 1435.65165Stabile, Giovanni; Ballarin, Francesco; Zuccarino, Giacomo; Rozza, Gianluigi 14 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 1440.76073Karatzas, Efthymios N.; Stabile, Giovanni; Nouveau, Leo; Scovazzi, Guglielmo; Rozza, Gianluigi 5 2019 A localized reduced-order modeling approach for PDEs with bifurcating solutions. Zbl 1441.65082Hess, Martin; Alla, Alessandro; Quaini, Annalisa; Rozza, Gianluigi; Gunzburger, Max 3 2019 Reduced basis approaches for parametrized bifurcation problems held by non-linear von Kármán equations. Zbl 1427.35275Pichi, Federico; Rozza, Gianluigi 3 2019 A weighted POD method for elliptic PDEs with random inputs. Zbl 1462.65201Venturi, Luca; Ballarin, Francesco; Rozza, Gianluigi 3 2019 A finite volume approximation of the Navier-Stokes equations with nonlinear filtering stabilization. Zbl 1474.76045Girfoglio, Michele; Quaini, Annalisa; Rozza, Gianluigi 2 2019 Finite volume POD-Galerkin stabilised reduced order methods for the parametrised incompressible Navier-Stokes equations. Zbl 1410.76264Stabile, Giovanni; Rozza, Gianluigi 32 2018 Stabilized weighted reduced basis methods for parametrized advection dominated problems with random inputs. Zbl 1408.35021Torlo, Davide; Ballarin, Francesco; Rozza, Gianluigi 10 2018 Model reduction for parametrized optimal control problems in environmental marine sciences and engineering. Zbl 1395.49015Strazzullo, Maria; Ballarin, Francesco; Mosetti, Renzo; Rozza, Gianluigi 7 2018 Reduced basis approximation and a posteriori error estimation: applications to elasticity problems in several parametric settings. Zbl 1416.65452Huynh, Dinh Bao Phuong; Pichi, Federico; Rozza, Gianluigi 2 2018 Certified reduced basis approximation for the coupling of viscous and inviscid parametrized flow models. Zbl 1398.76116Martini, Immanuel; Haasdonk, Bernard; Rozza, Gianluigi 2 2018 A spectral element reduced basis method in parametric CFD. Zbl 1425.76175Hess, Martin W.; Rozza, Gianluigi 1 2018 POD-Galerkin reduced order methods for CFD using finite volume discretisation: vortex shedding around a circular cylinder. Zbl 1383.35175Stabile, Giovanni; Hijazi, Saddam; Mola, Andrea; Lorenzi, Stefano; Rozza, Gianluigi 29 2017 Reduced basis methods for uncertainty quantification. Zbl 1400.65010Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi 21 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 15 2017 On a certified Smagorinsky reduced basis turbulence model. Zbl 1380.65339Chacón Rebollo, Tomás; Delgado Ávila, Enrique; Mármol, Macarena Gómez; Ballarin, Francesco; Rozza, Gianluigi 15 2017 On the application of reduced basis methods to bifurcation problems in incompressible fluid dynamics. Zbl 1433.76122Pitton, Giuseppe; Rozza, Gianluigi 9 2017 Reduced-order semi-implicit schemes for fluid-structure interaction problems. Zbl 1464.76054Ballarin, Francesco; Rozza, Gianluigi; Maday, Yvon 4 2017 A reduced order model for investigating the dynamics of the Gen-IV LFR coolant pool. Zbl 1443.76050Lorenzi, Stefano; Cammi, Antonio; Luzzi, Lelio; Rozza, Gianluigi 1 2017 Certified reduced basis method for affinely parametric isogeometric analysis NURBS approximation. Zbl 1382.65387Devaud, Denis; Rozza, Gianluigi 1 2017 Certified reduced basis methods for parametrized partial differential equations. Zbl 1329.65203Hesthaven, Jan S.; Rozza, Gianluigi; Stamm, Benjamin 219 2016 Multilevel and weighted reduced basis method for stochastic optimal control problems constrained by Stokes equations. Zbl 1344.93109Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi 23 2016 Fast simulations of patient-specific haemodynamics of coronary artery bypass grafts based on a POD-Galerkin method and a vascular shape parametrization. Zbl 1349.76173Ballarin, Francesco; Faggiano, Elena; Ippolito, Sonia; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi; Scrofani, Roberto 20 2016 POD-Galerkin method for finite volume approximation of Navier-Stokes and RANS equations. Zbl 1439.76112Lorenzi, Stefano; Cammi, Antonio; Luzzi, Lelio; Rozza, Gianluigi 11 2016 Reduced basis method and domain decomposition for elliptic problems in networks and complex parametrized geometries. Zbl 1443.65340Iapichino, Laura; Quarteroni, Alfio; Rozza, Gianluigi 3 2016 Reduced basis approaches in time-dependent non-coercive settings for modelling the movement of nuclear reactor control rods. Zbl 1388.65106Sartori, Alberto; Cammi, Antonio; Luzzi, Lelio; Rozza, Gianluigi 1 2016 Supremizer stabilization of POD-Galerkin approximation of parametrized steady incompressible Navier-Stokes equations. Zbl 1352.76039Ballarin, Francesco; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi 67 2015 Reduced basis approximation of parametrized optimal flow control problems for the Stokes equations. Zbl 1421.49026Negri, Federico; Manzoni, Andrea; Rozza, Gianluigi 23 2015 Reduced basis approximation and a-posteriori error estimation for the coupled Stokes-Darcy system. Zbl 1336.76021Martini, Immanuel; Rozza, Gianluigi; Haasdonk, Bernard 13 2015 Reduced basis approximation of parametrized advection-diffusion PDEs with high Péclet number. Zbl 1320.65180Pacciarini, Paolo; Rozza, Gianluigi 3 2015 Model order reduction in fluid dynamics: challenges and perspectives. Zbl 1395.76058Lassila, Toni; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi 41 2014 Reduced order methods for modeling and computational reduction. Zbl 1280.65004 35 2014 Comparison between reduced basis and stochastic collocation methods for elliptic problems. Zbl 1301.65007Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi 26 2014 Stabilized reduced basis method for parametrized advection-diffusion PDEs. Zbl 1296.65165Pacciarini, Paolo; Rozza, Gianluigi 17 2014 A weighted empirical interpolation method: a priori convergence analysis and applications. Zbl 1304.65097Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi 13 2014 Shape optimization by free-form deformation: existence results and numerical solution for Stokes flows. Zbl 1303.49017Ballarin, Francesco; Manzoni, Andrea; Rozza, Gianluigi; Salsa, Sandro 9 2014 An improvement on geometrical parameterizations by transfinite maps. (Une amélioration pour les paramétrages géometriques par les transformations transfinies.) Zbl 1302.35167Jäggli, Christoph; Iapichino, Laura; Rozza, Gianluigi 6 2014 Fundamentals of reduced basis method for problems governed by parametrized PDEs and applications. Zbl 1312.93027Rozza, Gianluigi 5 2014 Reduced basis approximation and a posteriori error estimation for Stokes flows in parametrized geometries: roles of the inf-sup stability constants. Zbl 1318.76006Rozza, Gianluigi; Huynh, D. B. Phuong; Manzoni, Andrea 52 2013 Reduced basis method for parametrized elliptic optimal control problems. Zbl 1280.49046Negri, Federico; Rozza, Gianluigi; Manzoni, Andrea; Quarteroni, Alfio 34 2013 A weighted reduced basis method for elliptic partial differential equations with random input data. Zbl 1288.65007Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi 30 2013 Stochastic optimal Robin boundary control problems of advection-dominated elliptic equations. Zbl 1281.49015Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi 22 2013 Boundary control and shape optimization for the robust design of bypass anastomoses under uncertainty. Zbl 1402.92246Lassila, Toni; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi 9 2013 Generalized reduced basis methods and \(n\)-width estimates for the approximation of the solution manifold of parametric PDEs. Zbl 1347.41033Lassila, Toni; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi 7 2013 Free form deformation techniques applied to 3D shape optimization problems. Zbl 1329.49091Rozza, Gianluigi; Koshakji, Anwar; Quarteroni, Alfio 3 2013 Generalized reduced basis methods and \(n\)-width estimates for the approximation of the solution manifold of parametric PDEs. Zbl 1273.35024Lassila, Toni; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi 1 2013 Reduction strategies for shape dependent inverse problems in haemodynamics. Zbl 1266.49081Lassila, Toni; Manzoni, Andrea; Rozza, Gianluigi 1 2013 A reduced basis hybrid method for the coupling of parametrized domains represented by fluidic networks. Zbl 1253.76139Iapichino, Laura; Quarteroni, Alfio; Rozza, Gianluigi 30 2012 Shape optimization for viscous flows by reduced basis methods and free-form deformation. Zbl 1412.76031Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi 14 2012 A reduced basis model with parametric coupling for fluid-structure interaction problems. Zbl 1390.74053Lassila, Toni; Quarteroni, Alfio; Rozza, Gianluigi 9 2012 Computational reduction for parametrized PDEs: strategies and applications. Zbl 1432.65171Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi 8 2012 On the approximation of stability factors for general parametrized partial differential equations with a two-level affine decomposition. Zbl 1276.65069Lassila, Toni; Manzoni, Andrea; Rozza, Gianluigi 8 2012 Certified reduced basis approximation for parametrized partial differential equations and applications. Zbl 1273.65148Quarteroni, Alfio; Rozza, Gianluigi; Manzoni, Andrea 83 2011 Reduced basis approximation and error bounds for potential flows in parametrized geometries. Zbl 1284.76295Rozza, Gianluigi 14 2011 Reduced basis approximation for shape optimization in thermal flows with a parametrized polynomial geometric map. Zbl 1430.76366Rozza, Gianluigi; Lassila, Toni; Manzoni, Andrea 11 2011 Comparison and combination of reduced-order modelling techniques in 3D parametrized heat transfer problems. Zbl 1302.80014Gelsomino, Fabrizio; Rozza, Gianluigi 3 2011 Model reduction of semiaffinely parameterized partial differential equations by two-level affine approximation. (Réduction de modèle pour des équations aux dérivées partielles paramétrisées semi-affinement par une approximation affine à deux niveaux.) Zbl 1211.35019Lassila, Toni; Rozza, Gianluigi 1 2011 Parametric free-form shape design with PDE models and reduced basis method. Zbl 1231.76245Lassila, Toni; Rozza, Gianluigi 37 2010 On computing upper and lower bounds on the outputs of linear elasticity problems approximated by the smoothed finite element method. Zbl 1193.74160Xuan, Z. C.; Lassila, T.; Rozza, G.; Quarteroni, A. 5 2010 An introduction to reduced basis method for parametrized PDEs. Zbl 1203.65260Rozza, Gianluigi 1 2010 Reduced basis approximation and a posteriori error estimation for the time-dependent viscous Burgers’ equation. Zbl 1178.65109Nguyen, Ngoc-Cuong; Rozza, Gianluigi; Patera, Anthony T. 45 2009 Reduced basis method for multi-parameter-dependent steady Navier-Stokes equations: applications to natural convection in a cavity. Zbl 1260.76024Deparis, Simone; Rozza, Gianluigi 26 2009 Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics. Zbl 1304.65251Rozza, G.; Huynh, D. B. P.; Patera, A. T. 335 2008 A reduced basis method for evolution schemes with parameter-dependent explicit operators. Zbl 1391.76413Haasdonk, B.; Ohlberger, M.; Rozza, G. 22 2008 Reduced basis method for linear elasticity problems with many parameters. Zbl 1194.74445Milani, Roberto; Quarteroni, Alfio; Rozza, Gianluigi 15 2008 A successive constraint linear optimization method for lower bounds of parametric coercivity and inf-sup stability constants. Zbl 1127.65086Huynh, D. B. P.; Rozza, G.; Sen, S.; Patera, A. T. 101 2007 On the stability of the reduced basis method for Stokes equations in parametrized domains. Zbl 1173.76352Rozza, Gianluigi; Veroy, Karen 95 2007 Numerical solution of parametrized Navier-Stokes equations by reduced basis methods. Zbl 1178.76238Quarteroni, Alfio; Rozza, Gianluigi 44 2007 Shape design in aorto-coronaric bypass anastomoses using perturbation theory. Zbl 1120.49037Agoshkov, Valery; Quarteroni, Alfio; Rozza, Gianluigi 12 2006 Numerical approximation of a control problem for advection-diffusion processes. Zbl 1214.49029Quarteroni, A.; Rozza, G.; Dedè, L.; Quaini, A. 8 2006 A mathematical approach in the design of arterial bypass using unsteady Stokes equations. Zbl 1158.76452Agoshkov, Valery; Quarteroni, Alfio; Rozza, Gianluigi 7 2006 On optimization, control and shape design of an arterial bypass. Zbl 1155.76439Rozza, Gianluigi 17 2005 Reduced-basis methods for elliptic equations in sub-domains with a posteriori error bounds and adaptivity. Zbl 1112.65122Rozza, Gianluigi 13 2005 Optimal control and shape optimization of aorto-coronaric bypass anastomoses. Zbl 1063.49029Quarteroni, Alfio; Rozza, Gianluigi 25 2003 all cited Publications top 5 cited Publications all top 5 Cited by 1,184 Authors 74 Rozza, Gianluigi 31 Quarteroni, Alfio M. 29 Patera, Anthony T. 28 Manzoni, Andrea 25 Hesthaven, Jan S. 21 Benner, Peter 21 Maday, Yvon 17 Ballarin, Francesco 17 Chen, Yanlai 16 Peherstorfer, Benjamin 16 Stabile, Giovanni 15 Haasdonk, Bernard 15 Ohlberger, Mario 13 Chen, Peng 13 Grepl, Martin A. 13 Iliescu, Traian 13 Luo, Zhendong 13 Urban, Karsten 13 Veroy, Karen 13 Willcox, Karen E. 12 Taddei, Tommaso 12 Yano, Masayuki 11 Nguyen, Ngoc Cuong 11 Schwab, Christoph 10 Abdulle, Assyr 10 Deparis, Simone 10 Knezevic, David J. 10 Rave, Stephan David 9 Carlberg, Kevin T. 9 Gunzburger, Max D. 9 Huynh, Dinh Bao Phuong 9 Jiang, Lijian 9 Narayan, Akil C. 8 Bordas, Stéphane Pierre Alain 8 Chacón Rebollo, Tomás 8 Chinesta, Francisco 8 Cohen, Albert 8 Gugercin, Serkan 8 Hinze, Michael 8 Huerta, Antonio 8 Iapichino, Laura 8 Volkwein, Stefan 7 Amsallem, David 7 Dal Santo, Niccolò 7 Hess, Martin Wilfried 7 Li, Qiuqi 7 Néron, David 7 Smetana, Kathrin 6 Eftang, Jens L. 6 Feng, Lihong 6 Guo, Mengwu 6 Kouri, Drew P. 6 Nobile, Fabio 6 Nouy, Anthony 6 Quaini, Annalisa 6 San, Omer 6 Schneier, Michael 5 Aguado, Jose Vicente 5 Bai, Yun 5 Choi, Youngsoo 5 Cueto, Elias 5 Farhat, Charbel H. 5 Ghattas, Omar N. 5 Gómez Mármol, Macarena 5 Hou, Thomas Yizhao 5 Karatzas, Efthymios N. 5 Kerfriden, Pierre 5 Ladevèze, Pierre 5 Lass, Oliver 5 Mula, Olga 5 Rubino, Samuele 5 Schindler, Felix 5 Scovazzi, Guglielmo 5 Wang, Zhu 5 Zhang, Zhenying 5 Zhu, Xueyu 4 Ammar, Amine 4 Antil, Harbir 4 Azaïez, Mejdi 4 Bader, Eduard 4 Barone, Matthew F. 4 Boyaval, Sébastien 4 Budáč, Ondrej 4 Canuto, Claudio 4 Chakir, Rachida 4 Dahmen, Wolfgang A. 4 Dede’, Luca 4 Demo, Nicola 4 DeVore, Ronald A. 4 Duraisamy, Karthik 4 Girfoglio, Michele 4 Hoang, K. C. 4 Kärcher, Mark 4 Krämer, Boris 4 Kressner, Daniel 4 Liu, Gui-Rong 4 Marsden, Alison L. 4 Matthies, Hermann Georg 4 Mohebujjaman, Muhammad 4 Mola, Andrea ...and 1,084 more Authors all top 5 Cited in 115 Serials 119 Computer Methods in Applied Mechanics and Engineering 79 Journal of Computational Physics 61 SIAM Journal on Scientific Computing 38 Journal of Scientific Computing 37 Advances in Computational Mathematics 27 International Journal for Numerical Methods in Engineering 24 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 24 SIAM/ASA Journal on Uncertainty Quantification 21 Computers & Mathematics with Applications 20 Comptes Rendus. Mathématique. Académie des Sciences, Paris 18 Journal of Computational and Applied Mathematics 16 Computers and Fluids 15 Computational Mechanics 14 Mathematical and Computer Modelling of Dynamical Systems 13 SIAM Journal on Numerical Analysis 10 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 10 Applied Mathematical Modelling 10 Archives of Computational Methods in Engineering 9 Applied Numerical Mathematics 8 Applied Mathematics and Computation 7 Numerische Mathematik 6 Computational Geosciences 6 Communications in Computational Physics 5 Journal of Mathematical Analysis and Applications 5 Mathematics of Computation 5 International Journal of Computational Fluid Dynamics 5 Multiscale Modeling & Simulation 4 Foundations of Computational Mathematics 4 Journal of Mathematics in Industry 4 Communications in Applied and Industrial Mathematics 3 SIAM Journal on Control and Optimization 3 Applied Mathematics Letters 3 SIAM Journal on Matrix Analysis and Applications 3 SIAM Journal on Mathematical Analysis 3 SIAM Review 3 Computational Optimization and Applications 3 Computational and Applied Mathematics 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 3 Optimization and Engineering 3 SIAM Journal on Applied Dynamical Systems 3 Discrete and Continuous Dynamical Systems. Series S 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 2 Acta Mechanica 2 Inverse Problems 2 Journal of Fluid Mechanics 2 Mathematics and Computers in Simulation 2 Acta Applicandae Mathematicae 2 COMPEL 2 Numerical Methods for Partial Differential Equations 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Numerical Algorithms 2 Journal of Inequalities and Applications 2 Computational Methods in Applied Mathematics 2 Analysis and Applications (Singapore) 2 Inverse Problems in Science and Engineering 2 SMAI Journal of Computational Mathematics 1 Classical and Quantum Gravity 1 International Journal for Numerical Methods in Fluids 1 Wave Motion 1 BIT 1 Calcolo 1 Journal of Optimization Theory and Applications 1 Mathematics of Operations Research 1 Meccanica 1 Numerical Functional Analysis and Optimization 1 Systems & Control Letters 1 Chinese Annals of Mathematics. Series B 1 Bulletin of the Iranian Mathematical Society 1 Physica D 1 Constructive Approximation 1 MCSS. Mathematics of Control, Signals, and Systems 1 Annals of Operations Research 1 Computational Mathematics and Mathematical Physics 1 International Journal of Computer Mathematics 1 Computational Statistics and Data Analysis 1 Indagationes Mathematicae. New Series 1 SIAM Journal on Optimization 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Applied Mathematics. Series B (English Edition) 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Advances in Applied Clifford Algebras 1 Engineering Analysis with Boundary Elements 1 Mathematical Problems in Engineering 1 Optimization Methods & Software 1 Chaos 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Mathematical & Computational Applications 1 European Journal of Mechanics. A. Solids 1 Communications in Nonlinear Science and Numerical Simulation 1 Mathematical Modelling and Analysis 1 Advanced Nonlinear Studies 1 Journal of Numerical Mathematics 1 Milan Journal of Mathematics 1 4OR 1 International Journal of Computational Methods 1 Acta Numerica 1 Advances in Difference Equations 1 Acta Mechanica Sinica 1 Mathematical Modelling of Natural Phenomena ...and 15 more Serials all top 5 Cited in 38 Fields 608 Numerical analysis (65-XX) 268 Partial differential equations (35-XX) 240 Fluid mechanics (76-XX) 107 Mechanics of deformable solids (74-XX) 84 Calculus of variations and optimal control; optimization (49-XX) 57 Systems theory; control (93-XX) 51 Probability theory and stochastic processes (60-XX) 49 Statistics (62-XX) 49 Computer science (68-XX) 41 Operations research, mathematical programming (90-XX) 41 Biology and other natural sciences (92-XX) 30 Optics, electromagnetic theory (78-XX) 26 Dynamical systems and ergodic theory (37-XX) 25 Approximations and expansions (41-XX) 15 Classical thermodynamics, heat transfer (80-XX) 14 Geophysics (86-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 13 Statistical mechanics, structure of matter (82-XX) 11 Ordinary differential equations (34-XX) 8 Operator theory (47-XX) 8 Mechanics of particles and systems (70-XX) 5 Information and communication theory, circuits (94-XX) 4 Combinatorics (05-XX) 4 Real functions (26-XX) 4 Quantum theory (81-XX) 3 Functions of a complex variable (30-XX) 3 Functional analysis (46-XX) 2 General and overarching topics; collections (00-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Mathematics education (97-XX) 1 History and biography (01-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year