## Rozza, Gianluigi

Compute Distance To:
 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
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### 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
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### 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
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### 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)

### 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 1304.65251
Rozza, G.; Huynh, D. B. P.; Patera, A. T.
2008
Certified reduced basis methods for parametrized partial differential equations. Zbl 1329.65203
Hesthaven, Jan S.; Rozza, Gianluigi; Stamm, Benjamin
2016
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.
2007
On the stability of the reduced basis method for Stokes equations in parametrized domains. Zbl 1173.76352
Rozza, Gianluigi; Veroy, Karen
2007
Certified reduced basis approximation for parametrized partial differential equations and applications. Zbl 1273.65148
Quarteroni, Alfio; Rozza, Gianluigi; Manzoni, Andrea
2011
Supremizer stabilization of POD-Galerkin approximation of parametrized steady incompressible Navier-Stokes equations. Zbl 1352.76039
Ballarin, Francesco; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi
2015
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
2013
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.
2009
Numerical solution of parametrized Navier-Stokes equations by reduced basis methods. Zbl 1178.76238
Quarteroni, Alfio; Rozza, Gianluigi
2007
Model order reduction in fluid dynamics: challenges and perspectives. Zbl 1395.76058
Lassila, Toni; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi
2014
Parametric free-form shape design with PDE models and reduced basis method. Zbl 1231.76245
Lassila, Toni; Rozza, Gianluigi
2010
Reduced order methods for modeling and computational reduction. Zbl 1280.65004
2014
Reduced basis method for parametrized elliptic optimal control problems. Zbl 1280.49046
Negri, Federico; Rozza, Gianluigi; Manzoni, Andrea; Quarteroni, Alfio
2013
Finite volume POD-Galerkin stabilised reduced order methods for the parametrised incompressible Navier-Stokes equations. Zbl 1410.76264
Stabile, Giovanni; Rozza, Gianluigi
2018
A reduced basis hybrid method for the coupling of parametrized domains represented by fluidic networks. Zbl 1253.76139
Iapichino, Laura; Quarteroni, Alfio; Rozza, Gianluigi
2012
A weighted reduced basis method for elliptic partial differential equations with random input data. Zbl 1288.65007
Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi
2013
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
2017
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
2009
Comparison between reduced basis and stochastic collocation methods for elliptic problems. Zbl 1301.65007
Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi
2014
Optimal control and shape optimization of aorto-coronaric bypass anastomoses. Zbl 1063.49029
Quarteroni, Alfio; Rozza, Gianluigi
2003
Reduced basis approximation of parametrized optimal flow control problems for the Stokes equations. Zbl 1421.49026
Negri, Federico; Manzoni, Andrea; Rozza, Gianluigi
2015
Multilevel and weighted reduced basis method for stochastic optimal control problems constrained by Stokes equations. Zbl 1344.93109
Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi
2016
A reduced basis method for evolution schemes with parameter-dependent explicit operators. Zbl 1391.76413
Haasdonk, B.; Ohlberger, M.; Rozza, G.
2008
Stochastic optimal Robin boundary control problems of advection-dominated elliptic equations. Zbl 1281.49015
Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi
2013
Reduced basis methods for uncertainty quantification. Zbl 1400.65010
Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi
2017
Fast simulations of patient-specific haemodynamics of coronary artery bypass grafts based on a POD-Galerkin method and a vascular shape parametrization. Zbl 1349.76173
Ballarin, Francesco; Faggiano, Elena; Ippolito, Sonia; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi; Scrofani, Roberto
2016
Stabilized reduced basis method for parametrized advection-diffusion PDEs. Zbl 1296.65165
Pacciarini, Paolo; Rozza, Gianluigi
2014
On optimization, control and shape design of an arterial bypass. Zbl 1155.76439
Rozza, Gianluigi
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
2017
Reduced basis method for linear elasticity problems with many parameters. Zbl 1194.74445
Milani, Roberto; Quarteroni, Alfio; Rozza, Gianluigi
2008
On a certified Smagorinsky reduced basis turbulence model. Zbl 1380.65339
Chacón Rebollo, Tomás; Delgado Ávila, Enrique; Mármol, Macarena Gómez; Ballarin, Francesco; Rozza, Gianluigi
2017
Reduced basis approximation and error bounds for potential flows in parametrized geometries. Zbl 1284.76295
Rozza, Gianluigi
2011
Data-driven POD-Galerkin reduced order model for turbulent flows. Zbl 1437.76015
Hijazi, Saddam; Stabile, Giovanni; Mola, Andrea; Rozza, Gianluigi
2020
Shape optimization for viscous flows by reduced basis methods and free-form deformation. Zbl 1412.76031
Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi
2012
A reduced order variational multiscale approach for turbulent flows. Zbl 1435.65165
Stabile, Giovanni; Ballarin, Francesco; Zuccarino, Giacomo; Rozza, Gianluigi
2019
Reduced basis approximation and a-posteriori error estimation for the coupled Stokes-Darcy system. Zbl 1336.76021
Martini, Immanuel; Rozza, Gianluigi; Haasdonk, Bernard
2015
Reduced-basis methods for elliptic equations in sub-domains with a posteriori error bounds and adaptivity. Zbl 1112.65122
Rozza, Gianluigi
2005
A weighted empirical interpolation method: a priori convergence analysis and applications. Zbl 1304.65097
Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi
2014
Agoshkov, Valery; Quarteroni, Alfio; Rozza, Gianluigi
2006
POD-Galerkin method for finite volume approximation of Navier-Stokes and RANS equations. Zbl 1439.76112
Lorenzi, Stefano; Cammi, Antonio; Luzzi, Lelio; Rozza, Gianluigi
2016
Reduced basis approximation for shape optimization in thermal flows with a parametrized polynomial geometric map. Zbl 1430.76366
Rozza, Gianluigi; Lassila, Toni; Manzoni, Andrea
2011
Stabilized weighted reduced basis methods for parametrized advection dominated problems with random inputs. Zbl 1408.35021
Torlo, Davide; Ballarin, Francesco; Rozza, Gianluigi
2018
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
2014
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
2013
A reduced basis model with parametric coupling for fluid-structure interaction problems. Zbl 1390.74053
Lassila, Toni; Quarteroni, Alfio; Rozza, Gianluigi
2012
On the application of reduced basis methods to bifurcation problems in incompressible fluid dynamics. Zbl 1433.76122
Pitton, Giuseppe; Rozza, Gianluigi
2017
Computational reduction for parametrized PDEs: strategies and applications. Zbl 1432.65171
Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi
2012
On the approximation of stability factors for general parametrized partial differential equations with a two-level affine decomposition. Zbl 1276.65069
Lassila, Toni; Manzoni, Andrea; Rozza, Gianluigi
2012
Numerical approximation of a control problem for advection-diffusion processes. Zbl 1214.49029
Quarteroni, A.; Rozza, G.; Dedè, L.; Quaini, A.
2006
A mathematical approach in the design of arterial bypass using unsteady Stokes equations. Zbl 1158.76452
Agoshkov, Valery; Quarteroni, Alfio; Rozza, Gianluigi
2006
Model reduction for parametrized optimal control problems in environmental marine sciences and engineering. Zbl 1395.49015
Strazzullo, Maria; Ballarin, Francesco; Mosetti, Renzo; Rozza, Gianluigi
2018
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
2013
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
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
2014
Fundamentals of reduced basis method for problems governed by parametrized PDEs and applications. Zbl 1312.93027
Rozza, Gianluigi
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 1440.76073
Karatzas, Efthymios N.; Stabile, Giovanni; Nouveau, Leo; Scovazzi, Guglielmo; Rozza, Gianluigi
2019
A hybrid reduced order method for modelling turbulent heat transfer problems. Zbl 07335330
Georgaka, Sokratia; Stabile, Giovanni; Star, Kelbij; Rozza, Gianluigi; Bluck, Michael J.
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
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.
2010
Projection-based reduced order models for a cut finite element method in parametrized domains. Zbl 1443.65348
Karatzas, Efthymios N.; Ballarin, Francesco; Rozza, Gianluigi
2020
Reduced-order semi-implicit schemes for fluid-structure interaction problems. Zbl 1464.76054
Ballarin, Francesco; Rozza, Gianluigi; Maday, Yvon
2017
Basic ideas and tools for projection-based model reduction of parametric partial differential equations. Zbl 07358909
Rozza, Gianluigi; Hess, Martin; Stabile, Giovanni; Tezzele, Marco; Ballarin, Francesco
2021
Free form deformation techniques applied to 3D shape optimization problems. Zbl 1329.49091
Rozza, Gianluigi; Koshakji, Anwar; Quarteroni, Alfio
2013
Reduced basis approximation of parametrized advection-diffusion PDEs with high Péclet number. Zbl 1320.65180
Pacciarini, Paolo; Rozza, Gianluigi
2015
A localized reduced-order modeling approach for PDEs with bifurcating solutions. Zbl 1441.65082
Hess, Martin; Alla, Alessandro; Quaini, Annalisa; Rozza, Gianluigi; Gunzburger, Max
2019
Reduced basis approaches for parametrized bifurcation problems held by non-linear von Kármán equations. Zbl 1427.35275
Pichi, Federico; Rozza, Gianluigi
2019
A weighted POD method for elliptic PDEs with random inputs. Zbl 1462.65201
Venturi, Luca; Ballarin, Francesco; Rozza, Gianluigi
2019
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
2020
Reduced basis method and domain decomposition for elliptic problems in networks and complex parametrized geometries. Zbl 1443.65340
Iapichino, Laura; Quarteroni, Alfio; Rozza, Gianluigi
2016
Comparison and combination of reduced-order modelling techniques in 3D parametrized heat transfer problems. Zbl 1302.80014
Gelsomino, Fabrizio; Rozza, Gianluigi
2011
A reduced-order shifted boundary method for parametrized incompressible Navier-Stokes equations. Zbl 07337130
Karatzas, Efthymios N.; Stabile, Giovanni; Nouveau, Leo; Scovazzi, Guglielmo; Rozza, Gianluigi
2020
On the comparison of LES data-driven reduced order approaches for hydroacoustic analysis. Zbl 07426138
Gadalla, Mahmoud; Cianferra, Marta; Tezzele, Marco; Stabile, Giovanni; Mola, Andrea; Rozza, Gianluigi
2021
Model order reduction. Volume 1: System- and data-driven methods and algorithms. Zbl 1473.93004
2021
Model order reduction. Volume 3: Applications. Zbl 1455.93002
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
2020
A finite volume approximation of the Navier-Stokes equations with nonlinear filtering stabilization. Zbl 1474.76045
Girfoglio, Michele; Quaini, Annalisa; Rozza, Gianluigi
2019
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
2020
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
2018
Certified reduced basis approximation for the coupling of viscous and inviscid parametrized flow models. Zbl 1398.76116
Martini, Immanuel; Haasdonk, Bernard; Rozza, Gianluigi
2018
Parametric POD-Galerkin model order reduction for unsteady-state heat transfer problems. Zbl 1473.78016
Georgaka, Sokratia; Stabile, Giovanni; Rozza, Gianluigi; Bluck, Michael J.
2020
Model order reduction. Volume 2: Snapshot-based methods and algorithms. Zbl 1455.93001
2021
A spectral element reduced basis method in parametric CFD. Zbl 1425.76175
Hess, Martin W.; Rozza, Gianluigi
2018
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
2017
Hierarchical model reduction techniques for flow modeling in a parametrized setting. Zbl 1468.65209
Zancanaro, Matteo; Ballarin, Francesco; Perotto, Simona; Rozza, Gianluigi
2021
A reduced order modeling technique to study bifurcating phenomena: application to the Gross-Pitaevskii equation. Zbl 1451.65227
Pichi, Federico; Quaini, Annalisa; Rozza, Gianluigi
2020
An introduction to reduced basis method for parametrized PDEs. Zbl 1203.65260
Rozza, Gianluigi
2010
Generalized reduced basis methods and $$n$$-width estimates for the approximation of the solution manifold of parametric PDEs. Zbl 1273.35024
Lassila, Toni; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi
2013
Reduction strategies for shape dependent inverse problems in haemodynamics. Zbl 1266.49081
Lassila, Toni; Manzoni, Andrea; Rozza, Gianluigi
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 1211.35019
Lassila, Toni; Rozza, Gianluigi
2011
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
2016
Certified reduced basis method for affinely parametric isogeometric analysis NURBS approximation. Zbl 1382.65387
Devaud, Denis; Rozza, Gianluigi
2017
Stabilized reduced basis methods for parametrized steady Stokes and Navier-Stokes equations. Zbl 07283114
Ali, Shafqat; Ballarin, Francesco; Rozza, Gianluigi
2020
An efficient computational framework for naval shape design and optimization problems by means of data-driven reduced order modeling techniques. Zbl 07342991
Demo, Nicola; Ortali, Giulio; Gustin, Gianluca; Rozza, Gianluigi; Lavini, Gianpiero
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
2021
Basic ideas and tools for projection-based model reduction of parametric partial differential equations. Zbl 07358909
Rozza, Gianluigi; Hess, Martin; Stabile, Giovanni; Tezzele, Marco; Ballarin, Francesco
2021
On the comparison of LES data-driven reduced order approaches for hydroacoustic analysis. Zbl 07426138
Gadalla, Mahmoud; Cianferra, Marta; Tezzele, Marco; Stabile, Giovanni; Mola, Andrea; Rozza, Gianluigi
2021
Model order reduction. Volume 1: System- and data-driven methods and algorithms. Zbl 1473.93004
2021
Model order reduction. Volume 3: Applications. Zbl 1455.93002
2021
Model order reduction. Volume 2: Snapshot-based methods and algorithms. Zbl 1455.93001
2021
Hierarchical model reduction techniques for flow modeling in a parametrized setting. Zbl 1468.65209
Zancanaro, Matteo; Ballarin, Francesco; Perotto, Simona; Rozza, Gianluigi
2021
An efficient computational framework for naval shape design and optimization problems by means of data-driven reduced order modeling techniques. Zbl 07342991
Demo, Nicola; Ortali, Giulio; Gustin, Gianluca; Rozza, Gianluigi; Lavini, Gianpiero
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
2021
Data-driven POD-Galerkin reduced order model for turbulent flows. Zbl 1437.76015
Hijazi, Saddam; Stabile, Giovanni; Mola, Andrea; Rozza, Gianluigi
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
2020
A hybrid reduced order method for modelling turbulent heat transfer problems. Zbl 07335330
Georgaka, Sokratia; Stabile, Giovanni; Star, Kelbij; Rozza, Gianluigi; Bluck, Michael J.
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
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
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
2020
A reduced-order shifted boundary method for parametrized incompressible Navier-Stokes equations. Zbl 07337130
Karatzas, Efthymios N.; Stabile, Giovanni; Nouveau, Leo; Scovazzi, Guglielmo; Rozza, Gianluigi
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
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
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.
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
2020
Stabilized reduced basis methods for parametrized steady Stokes and Navier-Stokes equations. Zbl 07283114
Ali, Shafqat; Ballarin, Francesco; Rozza, Gianluigi
2020
A reduced order variational multiscale approach for turbulent flows. Zbl 1435.65165
Stabile, Giovanni; Ballarin, Francesco; Zuccarino, Giacomo; Rozza, Gianluigi
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
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
2019
Reduced basis approaches for parametrized bifurcation problems held by non-linear von Kármán equations. Zbl 1427.35275
Pichi, Federico; Rozza, Gianluigi
2019
A weighted POD method for elliptic PDEs with random inputs. Zbl 1462.65201
Venturi, Luca; Ballarin, Francesco; Rozza, Gianluigi
2019
A finite volume approximation of the Navier-Stokes equations with nonlinear filtering stabilization. Zbl 1474.76045
Girfoglio, Michele; Quaini, Annalisa; Rozza, Gianluigi
2019
Finite volume POD-Galerkin stabilised reduced order methods for the parametrised incompressible Navier-Stokes equations. Zbl 1410.76264
Stabile, Giovanni; Rozza, Gianluigi
2018
Stabilized weighted reduced basis methods for parametrized advection dominated problems with random inputs. Zbl 1408.35021
Torlo, Davide; Ballarin, Francesco; Rozza, Gianluigi
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
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
2018
Certified reduced basis approximation for the coupling of viscous and inviscid parametrized flow models. Zbl 1398.76116
Martini, Immanuel; Haasdonk, Bernard; Rozza, Gianluigi
2018
A spectral element reduced basis method in parametric CFD. Zbl 1425.76175
Hess, Martin W.; Rozza, Gianluigi
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
2017
Reduced basis methods for uncertainty quantification. Zbl 1400.65010
Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi
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
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
2017
On the application of reduced basis methods to bifurcation problems in incompressible fluid dynamics. Zbl 1433.76122
Pitton, Giuseppe; Rozza, Gianluigi
2017
Reduced-order semi-implicit schemes for fluid-structure interaction problems. Zbl 1464.76054
Ballarin, Francesco; Rozza, Gianluigi; Maday, Yvon
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
2017
Certified reduced basis method for affinely parametric isogeometric analysis NURBS approximation. Zbl 1382.65387
Devaud, Denis; Rozza, Gianluigi
2017
Certified reduced basis methods for parametrized partial differential equations. Zbl 1329.65203
Hesthaven, Jan S.; Rozza, Gianluigi; Stamm, Benjamin
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
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
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
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
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
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
2015
Reduced basis approximation of parametrized optimal flow control problems for the Stokes equations. Zbl 1421.49026
Negri, Federico; Manzoni, Andrea; Rozza, Gianluigi
2015
Reduced basis approximation and a-posteriori error estimation for the coupled Stokes-Darcy system. Zbl 1336.76021
Martini, Immanuel; Rozza, Gianluigi; Haasdonk, Bernard
2015
Reduced basis approximation of parametrized advection-diffusion PDEs with high Péclet number. Zbl 1320.65180
Pacciarini, Paolo; Rozza, Gianluigi
2015
Model order reduction in fluid dynamics: challenges and perspectives. Zbl 1395.76058
Lassila, Toni; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi
2014
Reduced order methods for modeling and computational reduction. Zbl 1280.65004
2014
Comparison between reduced basis and stochastic collocation methods for elliptic problems. Zbl 1301.65007
Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi
2014
Stabilized reduced basis method for parametrized advection-diffusion PDEs. Zbl 1296.65165
Pacciarini, Paolo; Rozza, Gianluigi
2014
A weighted empirical interpolation method: a priori convergence analysis and applications. Zbl 1304.65097
Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi
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
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
2014
Fundamentals of reduced basis method for problems governed by parametrized PDEs and applications. Zbl 1312.93027
Rozza, Gianluigi
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
2013
Reduced basis method for parametrized elliptic optimal control problems. Zbl 1280.49046
Negri, Federico; Rozza, Gianluigi; Manzoni, Andrea; Quarteroni, Alfio
2013
A weighted reduced basis method for elliptic partial differential equations with random input data. Zbl 1288.65007
Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi
2013
Stochastic optimal Robin boundary control problems of advection-dominated elliptic equations. Zbl 1281.49015
Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi
2013
Boundary control and shape optimization for the robust design of bypass anastomoses under uncertainty. Zbl 1402.92246
Lassila, Toni; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi
2013
Generalized reduced basis methods and $$n$$-width estimates for the approximation of the solution manifold of parametric PDEs. Zbl 1347.41033
Lassila, Toni; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi
2013
Free form deformation techniques applied to 3D shape optimization problems. Zbl 1329.49091
Rozza, Gianluigi; Koshakji, Anwar; Quarteroni, Alfio
2013
Generalized reduced basis methods and $$n$$-width estimates for the approximation of the solution manifold of parametric PDEs. Zbl 1273.35024
Lassila, Toni; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi
2013
Reduction strategies for shape dependent inverse problems in haemodynamics. Zbl 1266.49081
Lassila, Toni; Manzoni, Andrea; Rozza, Gianluigi
2013
A reduced basis hybrid method for the coupling of parametrized domains represented by fluidic networks. Zbl 1253.76139
Iapichino, Laura; Quarteroni, Alfio; Rozza, Gianluigi
2012
Shape optimization for viscous flows by reduced basis methods and free-form deformation. Zbl 1412.76031
Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi
2012
A reduced basis model with parametric coupling for fluid-structure interaction problems. Zbl 1390.74053
Lassila, Toni; Quarteroni, Alfio; Rozza, Gianluigi
2012
Computational reduction for parametrized PDEs: strategies and applications. Zbl 1432.65171
Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi
2012
On the approximation of stability factors for general parametrized partial differential equations with a two-level affine decomposition. Zbl 1276.65069
Lassila, Toni; Manzoni, Andrea; Rozza, Gianluigi
2012
Certified reduced basis approximation for parametrized partial differential equations and applications. Zbl 1273.65148
Quarteroni, Alfio; Rozza, Gianluigi; Manzoni, Andrea
2011
Reduced basis approximation and error bounds for potential flows in parametrized geometries. Zbl 1284.76295
Rozza, Gianluigi
2011
Reduced basis approximation for shape optimization in thermal flows with a parametrized polynomial geometric map. Zbl 1430.76366
Rozza, Gianluigi; Lassila, Toni; Manzoni, Andrea
2011
Comparison and combination of reduced-order modelling techniques in 3D parametrized heat transfer problems. Zbl 1302.80014
Gelsomino, Fabrizio; Rozza, Gianluigi
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 1211.35019
Lassila, Toni; Rozza, Gianluigi
2011
Parametric free-form shape design with PDE models and reduced basis method. Zbl 1231.76245
Lassila, Toni; Rozza, Gianluigi
2010
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.
2010
An introduction to reduced basis method for parametrized PDEs. Zbl 1203.65260
Rozza, Gianluigi
2010
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.
2009
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
2009
Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics. Zbl 1304.65251
Rozza, G.; Huynh, D. B. P.; Patera, A. T.
2008
A reduced basis method for evolution schemes with parameter-dependent explicit operators. Zbl 1391.76413
Haasdonk, B.; Ohlberger, M.; Rozza, G.
2008
Reduced basis method for linear elasticity problems with many parameters. Zbl 1194.74445
Milani, Roberto; Quarteroni, Alfio; Rozza, Gianluigi
2008
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.
2007
On the stability of the reduced basis method for Stokes equations in parametrized domains. Zbl 1173.76352
Rozza, Gianluigi; Veroy, Karen
2007
Numerical solution of parametrized Navier-Stokes equations by reduced basis methods. Zbl 1178.76238
Quarteroni, Alfio; Rozza, Gianluigi
2007
Agoshkov, Valery; Quarteroni, Alfio; Rozza, Gianluigi
2006
Numerical approximation of a control problem for advection-diffusion processes. Zbl 1214.49029
Quarteroni, A.; Rozza, G.; Dedè, L.; Quaini, A.
2006
A mathematical approach in the design of arterial bypass using unsteady Stokes equations. Zbl 1158.76452
Agoshkov, Valery; Quarteroni, Alfio; Rozza, Gianluigi
2006
On optimization, control and shape design of an arterial bypass. Zbl 1155.76439
Rozza, Gianluigi
2005
Reduced-basis methods for elliptic equations in sub-domains with a posteriori error bounds and adaptivity. Zbl 1112.65122
Rozza, Gianluigi
2005
Optimal control and shape optimization of aorto-coronaric bypass anastomoses. Zbl 1063.49029
Quarteroni, Alfio; Rozza, Gianluigi
2003
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
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### 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
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### 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)