Edit Profile (opens in new tab) Quarteroni, Alfio M. Co-Author Distance Author ID: quarteroni.alfio-m Published as: Quarteroni, Alfio; Quarteroni, A.; Quarteroni, Alfio M. more...less Homepage: https://people.epfl.ch/alfio.quarteroni External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · dblp · GND · IdRef · theses.fr Documents Indexed: 389 Publications since 1979, including 51 Books and 15 Additional arXiv Preprints 18 Contributions as Editor · 1 Further Contribution Software Indexed: 4 Packages Biographic References: 2 Publications Co-Authors: 235 Co-Authors with 358 Joint Publications 4,450 Co-Co-Authors all top 5 Co-Authors 49 single-authored 62 Dede’, Luca 34 Rozza, Gianluigi 33 Saleri, Fausto 32 Gervasio, Paola 30 Manzoni, Andrea 28 Regazzoni, Francesco 19 Canuto, Claudio 19 Deparis, Simone 17 Vergara, Christian 16 Salvador, Matteo 15 Veneziani, Alessandro 13 Discacciati, Marco 13 Valli, Alberto 12 Africa, Pasquale Claudio 12 Antonietti, Paola Francesca 12 Formaggia, Luca 11 Bucelli, Michele 11 Sacco, Riccardo 10 Fedele, Marco 10 Lassila, Toni 9 Chen, Peng 9 Pagani, Stefano 9 Ruiz-Baier, Ricardo 8 Maday, Yvon 8 Mazzieri, Ilario 7 Agoshkov, Valeriĭ Ivanovich 7 Nobile, Fabio 7 Sacchi Landriani, Giovanni 7 Zingaro, Alberto 7 Zunino, Paolo 6 Ambrosi, Davide 6 Miglio, Edie 6 Parolini, Nicola 6 Piersanti, Roberto 5 Benner, Peter 5 Dal Santo, Niccolò 5 D’Angelo, Carlo 5 Forti, Davide 5 Grivet-Talocia, Stefano 5 Quaini, Annalisa 5 Schilders, Wil H. A. 5 Silveira, Luís Miguel 4 Bartezzaghi, Andrea 4 Blanco, Pablo Javier 4 Corno, Antonio F. 4 Fumagalli, Ivan 4 Gastaldi, Fabio 4 Hussaini, M. Yousuff 4 Maggio, Fabio 4 Marini, Luisa Donatella 4 Pasquarelli, Franco 4 Scrofani, Roberto 4 Zampieri, Elena 4 Zang, Thomas A. jun. 4 Zappon, Elena 3 Badia, Santiago 3 Carlenzoli, Claudio 3 Cogliati, Chiara 3 Corti, Mattia 3 Fatone, Lorella 3 Gerbi, Antonello 3 Grandperrin, Gwenol 3 Lions, Pierre-Louis 3 Malossi, A. Cristiano I. 3 Negri, Federico 3 Pontone, Gianluca 3 Rossi, Simone 3 Salsa, Sandro 3 Tagliabue, Anna 2 Astorino, Matteo 2 Ballarin, Francesco 2 Barnafi, Nicolás A. 2 Bonizzoni, Francesca 2 Bressan, Nicoletta 2 Brezzi, Franco 2 Burman, Erik 2 Ciarletta, Pasquale 2 Cicci, Ludovica 2 Colciago, Claudia Maria 2 Crosetto, Paolo 2 Deville, Michel O. 2 Di Gregorio, Simone 2 Ferroni, Alberto 2 Filippi, Simonetta 2 Fourestey, Gilles 2 Fresca, Stefania 2 Fusini, Laura 2 Gaudio, Loredana 2 Gerbeau, Jean-Frédéric 2 Gizzi, Alessio 2 Iapichino, Laura 2 Laadhari, Aymen 2 Lions, Jacques-Louis 2 Massimi, Paolo 2 Menghini, Filippo 2 Micheletti, Stefano 2 Milišić, Vuk 2 Pacciarini, Paolo 2 Paolucci, Roberto 2 Pegolotti, Luca ...and 141 more Co-Authors all top 5 Serials 45 Computer Methods in Applied Mechanics and Engineering 19 Journal of Computational Physics 16 SIAM Journal on Numerical Analysis 15 Unitext 12 Numerische Mathematik 12 SIAM Journal on Scientific Computing 10 Journal of Scientific Computing 8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 8 Computing and Visualization in Science 8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 7 Calcolo 7 MS&A. Modeling, Simulation and Applications 6 Computers and Fluids 6 Mathematics in Engineering 4 Computers & Mathematics with Applications 4 Texts in Computational Science and Engineering 3 International Journal for Numerical Methods in Engineering 3 Applied Numerical Mathematics 3 Computational Mechanics 3 SIAM Journal on Applied Mathematics 3 East-West Journal of Numerical Mathematics 3 Multiscale Modeling & Simulation 3 SIAM/ASA Journal on Uncertainty Quantification 2 International Journal for Numerical Methods in Fluids 2 Journal of Engineering Mathematics 2 RAIRO. Analyse Numérique 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Surveys on Mathematics for Industry 2 Notices of the American Mathematical Society 2 Advances in Computational Mathematics 2 Vietnam Journal of Mathematics 2 European Journal of Mechanics. A. Solids 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Lecture Notes in Mathematics 2 Springer Series in Computational Mathematics 2 Texts in Applied Mathematics 2 Bollettino dell’Unione Matematica Italiana. Series IX 2 Discrete and Continuous Dynamical Systems. Series S 2 International Journal for Numerical Methods in Biomedical Engineering 2 S\(\vec{\text{e}}\)MA Journal 2 Scientific Computation 1 Applicable Analysis 1 Computer Physics Communications 1 IMA Journal of Numerical Analysis 1 Mathematical Methods in the Applied Sciences 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Mathematics of Computation 1 Journal of Approximation Theory 1 Journal of Computational and Applied Mathematics 1 Mathematics and Computers in Simulation 1 SIAM Journal on Control and Optimization 1 Rendiconti del Seminario Matematico 1 SIAM Journal on Scientific and Statistical Computing 1 Statistics & Probability Letters 1 Chinese Annals of Mathematics. Series B 1 Mitteilungen der Gesellschaft für Angewandte Mathematik und Mechanik 1 Journal of Computational Mathematics 1 Parallel Computing 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Japan Journal of Applied Mathematics 1 Numerical Methods for Partial Differential Equations 1 Japan Journal of Industrial and Applied Mathematics 1 Numerical Algorithms 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Bulletin of the American Mathematical Society. New Series 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Bollettino della Unione Matemàtica Italiana. Serie VII. A 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Chaos 1 Revista Matemática Complutense 1 Journal of Mathematical Fluid Mechanics 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione A. La Matematica nella Società e nella Cultura 1 European Journal of Mechanics. B. Fluids 1 Computational Methods in Applied Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 AMRX. Applied Mathematics Research eXpress 1 Milan Journal of Mathematics 1 Mathematical Medicine and Biology 1 Mediterranean Journal of Mathematics 1 Acta Numerica 1 Mathematical Biosciences and Engineering 1 Bollettino della Unione Matematica Italiana. Series V. B 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino 1 Applied Mathematical Sciences 1 Contemporary Mathematics 1 Cambridge Monographs on Applied and Computational Mathematics 1 Communications in Computational Physics 1 Networks and Heterogeneous Media 1 Journal of Mathematics in Industry 1 Communications in Applied and Industrial Mathematics 1 Boletín de la Sociedad Española de Matemática Aplicada. S\(\vec{\text{e}}\)MA 1 Lettera Matematica. International Edition 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Monografías de la Real Academía de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza 1 Annals of Mathematical Sciences and Applications 1 Numerical Mathematics and Scientific Computation 1 Communications on Applied Mathematics and Computation 1 Springer-Lehrbuch 1 Le Grandi Voci all top 5 Fields 267 Numerical analysis (65-XX) 156 Fluid mechanics (76-XX) 152 Partial differential equations (35-XX) 96 Biology and other natural sciences (92-XX) 72 Mechanics of deformable solids (74-XX) 32 General and overarching topics; collections (00-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 19 Approximations and expansions (41-XX) 17 Ordinary differential equations (34-XX) 17 Computer science (68-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 11 Field theory and polynomials (12-XX) 10 Geophysics (86-XX) 10 Systems theory; control (93-XX) 9 Probability theory and stochastic processes (60-XX) 9 Optics, electromagnetic theory (78-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Potential theory (31-XX) 3 Operations research, mathematical programming (90-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 336 Publications have been cited 13,186 times in 8,795 Documents Cited by ▼ Year ▼ Spectral methods in fluid dynamics. Zbl 0658.76001 Canuto, Claudio; Hussaini, M. Yousuff; Quarteroni, Alfio; Zang, Thomas A. 1,643 1988 Spectral methods. Fundamentals in single domains. Zbl 1093.76002 Canuto, Claudio; Hussaini, M. Yousuff; Quarteroni, Alfio; Zang, Thomas A. 1,198 2006 Domain decomposition methods for partial differential equations. Zbl 0931.65118 Quarteroni, Alfio; Valli, Alberto 680 1999 Numerical approximation of partial differential equations. Zbl 0803.65088 Quarteroni, Alfio; Valli, Alberto 623 1994 Reduced basis methods for partial differential equations. An introduction. Zbl 1337.65113 Quarteroni, Alfio; Manzoni, Andrea; Negri, Federico 378 2016 Spectral methods. Evolution to complex geometries and applications to fluid dynamics. Zbl 1121.76001 Canuto, Claudio; Hussaini, M. Yousuff; Quarteroni, Alfio; Zang, Thomas A. 353 2007 Numerical approximation of partial differential equations. 1st softcover printing. Zbl 1151.65339 Quarteroni, Alfio; Valli, Alberto 289 2008 Mathematical and numerical models for coupling surface and groundwater flows. Zbl 1023.76048 Discacciati, Marco; Miglio, Edie; Quarteroni, Alfio 264 2002 Approximation results for orthogonal polynomials in Sobolev spaces. Zbl 0567.41008 Canuto, C.; Quarteroni, A. 259 1982 Cardiovascular mathematics. Modeling and simulation of the circulatory system. Zbl 1300.92005 198 2009 On the coupling of 3D and 1D Navier-Stokes equations for flow problems in compliant vessels. Zbl 1007.74035 Formaggia, L.; Gerbeau, J. F.; Nobile, F.; Quarteroni, A. 187 2001 Numerical mathematics. (Matematica numerica.) Zbl 0913.65002 Quarteroni, A.; Sacco, R.; Saleri, F. 186 1998 Numerical mathematics. 2nd ed. Zbl 1136.65001 Quarteroni, Alfio; Sacco, Riccardo; Saleri, Fausto 178 2007 Numerical solution of the Navier-Stokes equations for viscous compressible flows. Zbl 0852.76051 Carlenzoli, C.; Quarteroni, A.; Valli, A. 160 1994 Robin-Robin domain decomposition methods for the Stokes-Darcy coupling. Zbl 1139.76030 Discacciati, Marco; Quarteroni, Alfio; Valli, Alberto 156 2007 Computational vascular fluid dynamics: problems, models and methods. Zbl 1096.76042 Quarteroni, Alfio; Tuveri, Massimiliano; Veneziani, Alessandro 147 2000 Navier-Stokes/Darcy coupling: modeling, analysis, and numerical approximation. Zbl 1172.76050 Discacciati, Marco; Quarteroni, Alfio 134 2009 One-dimensional models for blood flow in arteries. Zbl 1070.76059 Formaggia, Luca; Lamponi, Daniele; Quarteroni, Alfio 132 2003 Numerical mathematics. (Matematica numerica). 2nd ed. (Matematica numerica.) Zbl 0943.65001 Quarteroni, A.; Sacco, R.; Saleri, F. 130 2000 Supremizer stabilization of POD-Galerkin approximation of parametrized steady incompressible Navier-Stokes equations. Zbl 1352.76039 Ballarin, Francesco; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi 124 2015 Numerical mathematics. Zbl 0957.65001 Quarteroni, Alfio; Sacco, Riccardo; Saleri, Fausto 119 2000 Spectral methods in fluid dynamics. 2nd corr. printing. Zbl 0717.76004 Canuto, Claudio; Hussaini, M. Yousuff; Quarteroni, Alfio; Zang, Thomas A. 112 1991 Certified reduced basis approximation for parametrized partial differential equations and applications. Zbl 1273.65148 Quarteroni, Alfio; Rozza, Gianluigi; Manzoni, Andrea 111 2011 Numerical analysis of the Navier-Stokes/Darcy coupling. Zbl 1423.35304 Badea, Lori; Discacciati, Marco; Quarteroni, Alfio 107 2010 Numerical models for differential problems. Translated by Silvia Quarteroni. Translation from the 4th Italian ed. Zbl 1170.65326 Quarteroni, Alfio M. 106 2009 Reduced order methods for modeling and computational reduction. Zbl 1280.65004 93 2014 Convergence analysis of a subdomain iterative method for the finite element approximation of the coupling of Stokes and Darcy equations. Zbl 1299.76252 Discacciati, Marco; Quarteroni, Alfio 90 2004 Multiscale modelling of the circulatory system: a preliminary analysis. Zbl 1067.76624 Formaggia, Luca; Nobile, Fabio; Quarteroni, Alfio; Veneziani, Alessandro 86 1999 On the coupling of 1D and 3D diffusion-reaction equations. Application to tissue perfusion problems. Zbl 1359.35200 D’Angelo, C.; Quarteroni, A. 85 2008 Factorization methods for the numerical approximation of Navier-Stokes equations. Zbl 0976.76044 Quarteroni, Alfio; Saleri, Fausto; Veneziani, Alessandro 81 2000 Splitting methods based on algebraic factorization for fluid-structure interaction. Zbl 1368.74021 Badia, Santiago; Quaini, Annalisa; Quarteroni, Alfio 79 2008 Model order reduction in fluid dynamics: challenges and perspectives. Zbl 1395.76058 Lassila, Toni; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi 79 2014 Isogeometric analysis and error estimates for high order partial differential equations in fluid dynamics. Zbl 1391.76360 Tagliabue, Anna; Dedè, Luca; Quarteroni, Alfio 76 2014 Coupling Biot and Navier-Stokes equations for modelling fluid-poroelastic media interaction. Zbl 1391.74234 Badia, Santiago; Quaini, Annalisa; Quarteroni, Alfio 75 2009 Numerical treatment of defective boundary conditions for the Navier-Stokes equations. Zbl 1020.35070 Formaggia, L.; Gerbeau, J.-F.; Nobile, F.; Quarteroni, A. 70 2002 Fluid-structure algorithms based on Steklov-Poincaré operators. Zbl 1124.76026 Deparis, Simone; Discacciati, Marco; Fourestey, Gilles; Quarteroni, Alfio 68 2006 Integrated heart – coupling multiscale and multiphysics models for the simulation of the cardiac function. Zbl 1439.74208 Quarteroni, Alfio; Lassila, Toni; Rossi, Simone; Ruiz-Baier, Ricardo 68 2017 An iterative procedure with interface relaxation for domain decomposition methods. Zbl 0678.65082 Funaro, Daniele; Quarteroni, Alfio; Zanolli, Paola 66 1988 A relaxation procedure for domain decomposition methods using finite elements. Zbl 0661.65111 Marini, L. D.; Quarteroni, A. 65 1989 Numerical models for differential problems. Translated from the 5th Italian edition by Silvia Quarteroni. 2nd ed. Zbl 1285.65054 Quarteroni, Alfio 64 2014 Analysis of a domain decomposition method for the coupling of Stokes and Darcy equations. Zbl 1254.76051 Discacciati, M.; Quarteroni, A. 64 2003 Isogeometric analysis of high order partial differential equations on surfaces. Zbl 1425.65145 Bartezzaghi, Andrea; Dedè, Luca; Quarteroni, Alfio 64 2015 Modular vs. non-modular preconditioners for fluid-structure systems with large added-mass effect. Zbl 1194.74058 Badia, Santiago; Quaini, Annalisa; Quarteroni, Alfio 62 2008 Numerical solution of parametrized Navier-Stokes equations by reduced basis methods. Zbl 1178.76238 Quarteroni, Alfio; Rozza, Gianluigi 60 2007 The cardiovascular system: mathematical modelling, numerical algorithms and clinical applications. Zbl 1376.92016 Quarteroni, A.; Manzoni, A.; Vergara, C. 60 2017 A semi-implicit approach for fluid-structure interaction based on an algebraic fractional step method. Zbl 1388.74041 Quaini, A.; Quarteroni, A. 56 2007 Reduced basis method for parametrized elliptic optimal control problems. Zbl 1280.49046 Negri, Federico; Rozza, Gianluigi; Manzoni, Andrea; Quarteroni, Alfio 56 2013 A multiscale Darcy-Brinkman model for fluid flow in fractured porous media. Zbl 1305.76109 Lesinigo, Matteo; D’Angelo, Carlo; Quarteroni, Alfio 54 2011 Advanced numerical approximation of nonlinear hyperbolic equations. Lectures given at the 2nd session of the Centro Internazionale Matematico Estivo (C. I. M. E.) held in Cetraro, Italy, June 23–28, 1997. Zbl 0904.00047 Cockburn, B.; Johnson, C.; Shu, C.-W.; Tadmor, E. 53 1998 Geometric multiscale modeling of the cardiovascular system, between theory and practice. Zbl 1423.76528 Quarteroni, A.; Veneziani, A.; Vergara, C. 52 2016 Parallel algorithms for fluid-structure interaction problems in haemodynamics. Zbl 1417.92008 Crosetto, Paolo; Deparis, Simone; Fourestey, Gilles; Quarteroni, Alfio 52 2011 Analysis of a geometrical multiscale model based on the coupling of ODEs and PDEs for blood flow simulations. Zbl 1060.35003 Quarteroni, Alfio; Veneziani, Alessandro 51 2003 Mathematical modelling of the human cardiovascular system. Data, numerical approximation, clinical applications. Zbl 1411.92003 Quarteroni, Alfio; Dede’, Luca; Manzoni, Andrea; Vergara, Christian 47 2019 Thermodynamically consistent orthotropic activation model capturing ventricular systolic wall thickening in cardiac electromechanics. Zbl 1406.74503 Rossi, Simone; Lassila, Toni; Ruiz-Baier, Ricardo; Sequeira, Adélia; Quarteroni, Alfio 45 2014 Shape optimization for viscous flows by reduced basis methods and free-form deformation. Zbl 1412.76031 Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi 43 2012 A reduced basis hybrid method for the coupling of parametrized domains represented by fluidic networks. Zbl 1253.76139 Iapichino, Laura; Quarteroni, Alfio; Rozza, Gianluigi 42 2012 Weighted reduced basis method for stochastic optimal control problems with elliptic PDE constraint. Zbl 1309.35182 Chen, Peng; Quarteroni, Alfio 40 2014 Machine learning for fast and reliable solution of time-dependent differential equations. Zbl 1454.65185 Regazzoni, F.; Dedè, L.; Quarteroni, A. 38 2019 A weighted reduced basis method for elliptic partial differential equations with random input data. Zbl 1288.65007 Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi 38 2013 Non-conforming high order approximations of the elastodynamics equation. Zbl 1243.74010 Antonietti, Paola F.; Mazzieri, Ilario; Quarteroni, Alfio; Rapetti, Francesca 38 2012 A rescaled localized radial basis function interpolation on non-Cartesian and nonconforming grids. Zbl 1312.41006 Deparis, Simone; Forti, Davide; Quarteroni, Alfio 37 2014 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 37 2016 Preconditioned minimal residual methods for Chebyshev spectral calculations. Zbl 0615.65118 Canuto, Claudio; Quarteroni, Alfio 37 1985 Machine learning of multiscale active force generation models for the efficient simulation of cardiac electromechanics. Zbl 1506.74212 Regazzoni, F.; Dedè, L.; Quarteroni, A. 37 2020 An active strain electromechanical model for cardiac tissue. Zbl 1242.92016 Nobile, F.; Quarteroni, A.; Ruiz-Baier, R. 37 2012 Electromechanical coupling in cardiac dynamics: the active strain approach. Zbl 1419.74174 Ambrosi, D.; Arioli, G.; Nobile, F.; Quarteroni, A. 36 2011 Comparison between reduced basis and stochastic collocation methods for elliptic problems. Zbl 1301.65007 Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi 36 2014 Legendre and Chebyshev spectral approximations of Burgers’ equation. Zbl 0452.41007 Maday, Yvon; Quarteroni, Alfio 35 1981 Theory and application of Steklov-Poincaré operators for boundary-value problems. Zbl 0723.65098 Quarteroni, A.; Valli, A. 34 1991 Facsi: a block parallel preconditioner for fluid-structure interaction in hemodynamics. Zbl 1373.74036 Deparis, Simone; Forti, Davide; Grandperrin, Gwenol; Quarteroni, Alfio 34 2016 Mathematical and numerical modeling of solute dynamics in blood flow and arterial walls. Zbl 1022.76059 Quarteroni, Alfio; Veneziani, Alessandro; Zunino, Paolo 34 2001 Analysis of a geometrical multiscale blood flow model based on the coupling of ODEs and hyperbolic PDEs. Zbl 1085.35095 Fernández, Miguel Ángel; Milisic, Vuk; Quarteroni, Alfio 34 2005 Multiscale homogenization for fluid and drug transport in vascularized malignant tissues. Zbl 1307.92062 Penta, R.; Ambrosi, D.; Quarteroni, A. 33 2015 Isogeometric analysis for second order partial differential equations on surfaces. Zbl 1425.65156 Dedè, Luca; Quarteroni, Alfio 33 2015 Reduced basis methods for uncertainty quantification. Zbl 1400.65010 Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi 33 2017 Reduced basis method and domain decomposition for elliptic problems in networks and complex parametrized geometries. Zbl 1443.65340 Iapichino, Laura; Quarteroni, Alfio; Rozza, Gianluigi 33 2016 Isogeometric numerical dispersion analysis for two-dimensional elastic wave propagation. Zbl 1423.74094 Dedè, Luca; Jäggli, Christoph; Quarteroni, Alfio 32 2015 Spectral and pseudo-spectral approximations of the Navier-Stokes equations. Zbl 0503.76035 Maday, Y.; Quarteroni, A. 32 1982 Stochastic optimal Robin boundary control problems of advection-dominated elliptic equations. Zbl 1281.49015 Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi 32 2013 Error analysis for spectral approximation of the Korteweg-de Vries equation. Zbl 0647.65082 Maday, Y.; Quarteroni, A. 32 1988 Multilevel and weighted reduced basis method for stochastic optimal control problems constrained by Stokes equations. Zbl 1344.93109 Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi 31 2016 Reduced basis techniques for nonlinear conservation laws. Zbl 1316.65079 Taddei, T.; Perotto, S.; Quarteroni, A. 31 2015 Coupling between lumped and distributed models for blood flow problems. Zbl 1097.76615 Quarteroni, Alfio; Ragni, Stefania; Veneziani, Alessandro 31 2001 Analysis of the Yosida method for the incompressible Navier-Stokes equations. Zbl 0930.35127 Quarteroni, Alfio; Saleri, Fausto; Veneziani, Alessandro 30 1999 Modeling cardiac muscle fibers in ventricular and atrial electrophysiology simulations. Zbl 1506.74211 Piersanti, Roberto; Africa, Pasquale C.; Fedele, Marco; Vergara, Christian; Dedè, Luca; Corno, Antonio F.; Quarteroni, Alfio 30 2021 Optimal control and shape optimization of aorto-coronaric bypass anastomoses. Zbl 1063.49029 Quarteroni, Alfio; Rozza, Gianluigi 29 2003 Fourier spectral methods for pseudo-parabolic equations. Zbl 0621.65120 Quarteroni, Alfio 28 1987 On the coupling of hyperbolic and parabolic systems: Analytical and numerical approach. Zbl 0686.65084 Gastaldi, Fabio; Quarteroni, Alfio 27 1989 An implicit/explicit spectral method for Burgers’ equation. Zbl 0691.65081 Bressan, N.; Quarteroni, A. 27 1986 Parameter estimates for the relaxed dimensional factorization preconditioner and application to hemodynamics. Zbl 1423.76212 Benzi, Michele; Deparis, Simone; Grandperrin, Gwenol; Quarteroni, Alfio 27 2016 A cardiac electromechanical model coupled with a lumped-parameter model for closed-loop blood circulation. Zbl 1515.92032 Regazzoni, F.; Salvador, M.; Africa, P. C.; Fedele, M.; Dedè, L.; Quarteroni, A. 26 2022 Error estimates for spectral and pseudospectral approximations of hyperbolic equations. Zbl 0508.65054 Canuto, C.; Quarteroni, A. 25 1982 Spectral and pseudo-spectral methods for parabolic problems with non periodic boundary conditions. Zbl 0485.65078 Canuto, C.; Quarteroni, A. 24 1981 Optimal control and numerical adaptivity for advection-diffusion equations. Zbl 1075.49014 Dede, Luca; Quarteroni, Alfio 24 2005 Accurate and efficient evaluation of failure probability for partial different equations with random input data. Zbl 1286.65156 Chen, Peng; Quarteroni, Alfio 24 2013 Numerical approximation of parametrized problems in cardiac electrophysiology by a local reduced basis method. Zbl 1440.92003 Pagani, Stefano; Manzoni, Andrea; Quarteroni, Alfio 24 2018 On the physical consistency between three-dimensional and one-dimensional models in haemodynamics. Zbl 1377.76042 Formaggia, Luca; Quarteroni, Alfio; Vergara, Christian 24 2013 Well-posedness, regularity, and convergence analysis of the finite element approximation of a generalized Robin boundary value problem. Zbl 1326.65161 Kashiwabara, Takahito; Colciago, Claudia Maria; Dedè, Luca; Quarteroni, Alfio 23 2015 Parallel preconditioners for the unsteady Navier-Stokes equations and applications to hemodynamics simulations. Zbl 1391.76887 Deparis, Simone; Grandperrin, Gwenol; Quarteroni, Alfio 23 2014 Numerical models for differential problems. 3rd edition. Zbl 1436.65003 Quarteroni, Alfio 23 2018 lifex-cfd: an open-source computational fluid dynamics solver for cardiovascular applications. Zbl 07803327 Africa, Pasquale Claudio; Fumagalli, Ivan; Bucelli, Michele; Zingaro, Alberto; Fedele, Marco; Dede’, Luca; Quarteroni, Alfio 4 2024 An electromechanics-driven fluid dynamics model for the simulation of the whole human heart. Zbl 07842867 Zingaro, Alberto; Bucelli, Michele; Piersanti, Roberto; Regazzoni, Francesco; Dede’, Luca; Quarteroni, Alfio 2 2024 A comprehensive and biophysically detailed computational model of the whole human heart electromechanics. Zbl 1539.74238 Fedele, Marco; Piersanti, Roberto; Regazzoni, Francesco; Salvador, Matteo; Africa, Pasquale Claudio; Bucelli, Michele; Zingaro, Alberto; Dede’, Luca; Quarteroni, Alfio 22 2023 A matrix-free high-order solver for the numerical solution of cardiac electrophysiology. Zbl 07660345 Africa, P. C.; Salvador, M.; Gervasio, P.; Dede’, L.; Quarteroni, A. 7 2023 Numerical modeling of the brain poromechanics by high-order discontinuous Galerkin methods. Zbl 1517.65106 Corti, Mattia; Antonietti, Paola F.; Dede’, Luca; Quarteroni, Alfio M. 7 2023 Discontinuous Galerkin methods for Fisher-Kolmogorov equation with application to \(\alpha\)-synuclein spreading in Parkinson’s disease. Zbl 1539.65116 Corti, Mattia; Bonizzoni, Francesca; Dede’, Luca; Quarteroni, Alfio M.; Antonietti, Paola F. 5 2023 Efficient and certified solution of parametrized one-way coupled problems through DEIM-based data projection across non-conforming interfaces. Zbl 1512.65221 Zappon, Elena; Manzoni, Andrea; Quarteroni, Alfio 3 2023 Projection-based reduced order models for parameterized nonlinear time-dependent problems arising in cardiac mechanics. Zbl 1533.92019 Cicci, Ludovica; Fresca, Stefania; Pagani, Stefano; Manzoni, Andrea; Quarteroni, Alfio 3 2023 A stable loosely-coupled scheme for cardiac electro-fluid-structure interaction. Zbl 07715255 Bucelli, Michele; Gabriel, Martin Geraint; Quarteroni, Alfio; Gigante, Giacomo; Vergara, Christian 1 2023 Preserving the positivity of the deformation gradient determinant in intergrid interpolation by combining RBFs and SVD: Application to cardiac electromechanics. Zbl 1536.74142 Bucelli, Michele; Regazzoni, Francesco; Dede’, Luca; Quarteroni, Alfio 1 2023 A cardiac electromechanical model coupled with a lumped-parameter model for closed-loop blood circulation. Zbl 1515.92032 Regazzoni, F.; Salvador, M.; Africa, P. C.; Fedele, M.; Dedè, L.; Quarteroni, A. 26 2022 3D-0D closed-loop model for the simulation of cardiac biventricular electromechanics. Zbl 1507.74234 Piersanti, Roberto; Regazzoni, Francesco; Salvador, Matteo; Corno, Antonio F.; Dede’, Luca; Vergara, Christian; Quarteroni, Alfio 17 2022 A machine learning method for real-time numerical simulations of cardiac electromechanics. Zbl 1507.74235 Regazzoni, F.; Salvador, M.; Dede’, L.; Quarteroni, A. 9 2022 A geometric multiscale model for the numerical simulation of blood flow in the human left heart. Zbl 1497.92076 Zingaro, Alberto; Fumagalli, Ivan; Dede, Luca; Fedele, Marco; Africa, Pasquale C.; Corno, Antonio F.; Quarteroni, Alfio 8 2022 A multiscale poromechanics model integrating myocardial perfusion and the epicardial coronary vessels. Zbl 1497.92071 Barnafi Wittwer, Nicolás Alejandro; Gregorio, Simone Di; Dede’, Luca; Zunino, Paolo; Vergara, Christian; Quarteroni, Alfio 7 2022 A fast cardiac electromechanics model coupling the eikonal and the nonlinear mechanics equations. Zbl 1503.92017 Stella, Simone; Regazzoni, Francesco; Vergara, Christian; Dedé, Luca; Quarteroni, Alfio 6 2022 Partitioned and monolithic algorithms for the numerical solution of cardiac fluid-structure interaction. Zbl 1508.92070 Bucelli, Michele; Dede, Luca; Quarteroni, Alfio; Vergara, Christian 5 2022 Iterative splitting schemes for a soft material poromechanics model. Zbl 1507.74113 Both, J. W.; Barnafi, N. A.; Radu, F. A.; Zunino, P.; Quarteroni, A. 5 2022 Modeling the cardiac electromechanical function: a mathematical journey. Zbl 07541857 Quarteroni, Alfio; Dedè, Luca; Regazzoni, Francesco 4 2022 PDE-aware deep learning for inverse problems in cardiac electrophysiology. Zbl 1497.65212 Tenderini, Riccardo; Pagani, Stefano; Quarteroni, Alfio; Deparis, Simone 2 2022 Modeling cardiac muscle fibers in ventricular and atrial electrophysiology simulations. Zbl 1506.74211 Piersanti, Roberto; Africa, Pasquale C.; Fedele, Marco; Vergara, Christian; Dedè, Luca; Corno, Antonio F.; Quarteroni, Alfio 30 2021 Computational bottlenecks for PROMs: precomputation and hyperreduction. Zbl 1483.65154 Farhat, Charbel; Grimberg, Sebastian; Manzoni, Andrea; Quarteroni, Alfio 21 2021 Model order reduction. Volume 1: System- and data-driven methods and algorithms. Zbl 1473.93004 21 2021 A computational model applied to myocardial perfusion in the human heart: from large coronaries to microvasculature. Zbl 07508444 Di Gregorio, Simone; Fedele, Marco; Pontone, Gianluca; Corno, Antonio F.; Zunino, Paolo; Vergara, Christian; Quarteroni, Alfio 13 2021 Multipatch isogeometric analysis for electrophysiology: simulation in a human heart. Zbl 1506.74391 Bucelli, Michele; Salvador, Matteo; Dede’, Luca; Quarteroni, Alfio 13 2021 Hemodynamics of the heart’s left atrium based on a variational multiscale-LES numerical method. Zbl 1492.76159 Zingaro, Alberto; Dede’, Luca; Menghini, Filippo; Quarteroni, Alfio 12 2021 Model order reduction. Volume 2: Snapshot-based methods and algorithms. Zbl 1455.93001 12 2021 Model order reduction. Volume 3: Applications. Zbl 1455.93002 12 2021 Active force generation in cardiac muscle cells: mathematical modeling and numerical simulation of the actin-myosin interaction. Zbl 1472.65114 Regazzoni, Francesco; Dedè, Luca; Quarteroni, Alfio 10 2021 An oscillation-free fully staggered algorithm for velocity-dependent active models of cardiac mechanics. Zbl 1506.74213 Regazzoni, F.; Quarteroni, A. 9 2021 Mathematical analysis and numerical approximation of a general linearized poro-hyperelastic model. Zbl 1524.65512 Barnafi, Nicolás; Zunino, Paolo; Dedè, Luca; Quarteroni, Alfio 8 2021 Model order reduction: basic concepts and notation. Zbl 1480.93046 Benner, Peter; Grivet-Talocia, Stefano; Quarteroni, Alfio; Rozza, Gianluigi; Schilders, Wil; Silveira, Luís Miguel 7 2021 Optimal control of partial differential equations. Analysis, approximation, and applications. Zbl 1483.49001 Manzoni, Andrea; Quarteroni, Alfio; Salsa, Sandro 7 2021 A physics-informed multi-fidelity approach for the estimation of differential equations parameters in low-data or large-noise regimes. Zbl 1498.65150 Regazzoni, Francesco; Pagani, Stefano; Cosenza, Alessandro; Lombardi, Alessandro; Quarteroni, Alfio 2 2021 Mathematical and numerical models for the cardiac electromechanical function. Zbl 1478.35211 Dedè, Luca; Quarteroni, Alfio; Regazzoni, Francesco 2 2021 Three-dimensional physics-based earthquake ground motion simulations for seismic risk assessment in densely populated urban areas. Zbl 1493.86001 Antonietti, Paola F.; Mazzieri, Ilario; Melas, Laura; Paolucci, Roberto; Quarteroni, Alfio; Smerzini, Chiara; Stupazzini, Marco 1 2021 Morphomechanical model of the torsional c-looping in the embryonic heart. Zbl 1465.74124 Bevilacqua, Giulia; Ciarletta, Pasquale; Quarteroni, Alfio 1 2021 Modeling the cardiac response to hemodynamic changes associated with COVID-19: a computational study. Zbl 1471.92113 Dedè, Luca; Regazzoni, Francesco; Vergara, Christian; Zunino, Paolo; Guglielmo, Marco; Scrofani, Roberto; Fusini, Laura; Cogliati, Chiara; Pontone, Gianluca; Quarteroni, Alfio 1 2021 Machine learning of multiscale active force generation models for the efficient simulation of cardiac electromechanics. Zbl 1506.74212 Regazzoni, F.; Dedè, L.; Quarteroni, A. 37 2020 Segregated algorithms for the numerical simulation of cardiac electromechanics in the left human ventricle. Zbl 1446.74210 Dede’, L.; Gerbi, A.; Quarteroni, A. 12 2020 An intergrid transfer operator using radial basis functions with application to cardiac electromechanics. Zbl 1462.74178 Salvador, Matteo; Dede’, Luca; Quarteroni, Alfio 12 2020 A computational comparison between isogeometric analysis and spectral element methods: accuracy and spectral properties. Zbl 1440.65247 Gervasio, Paola; Dedè, Luca; Chanon, Ondine; Quarteroni, Alfio 8 2020 Effect of fibre orientation and bulk modulus on the electromechanical modelling of human ventricles. Zbl 1486.92013 Azzolin, Luca; Dedè, Luca; Gerbi, Antonello; Quarteroni, Alfio 2 2020 Mathematical modelling of the human cardiovascular system. Data, numerical approximation, clinical applications. Zbl 1411.92003 Quarteroni, Alfio; Dede’, Luca; Manzoni, Andrea; Vergara, Christian 47 2019 Machine learning for fast and reliable solution of time-dependent differential equations. Zbl 1454.65185 Regazzoni, F.; Dedè, L.; Quarteroni, A. 38 2019 A monolithic algorithm for the simulation of cardiac electromechanics in the human left ventricle. Zbl 1442.92006 Gerbi, Antonello; Dedè, Luca; Quarteroni, Alfio 18 2019 An algebraic least squares reduced basis method for the solution of nonaffinely parametrized Stokes equations. Zbl 1440.76055 Dal Santo, Niccolo; Deparis, S.; Manzoni, A.; Quarteroni, A. 11 2019 Isogeometric analysis of the electrophysiology in the human heart: numerical simulation of the bidomain equations on the atria. Zbl 1440.78006 Pegolotti, Luca; Dedè, Luca; Quarteroni, Alfio 10 2019 The INTERNODES method for non-conforming discretizations of PDEs. Zbl 1449.65344 Gervasio, Paola; Quarteroni, Alfio 6 2019 Application of the rosenbrock methods to the solution of unsteady 3D incompressible Navier-Stokes equations. Zbl 1411.76059 Deparis, Simone; Deville, Michel O.; Menghini, Filippo; Pegolotti, Luca; Quarteroni, Alfio 4 2019 Biomembrane modeling with isogeometric analysis. Zbl 1440.74193 Bartezzaghi, Andrea; Dedè, Luca; Quarteroni, Alfio 4 2019 A saddle point approach to an optimal boundary control problem for steady Navier-Stokes equations. Zbl 1434.49021 Manzoni, Andrea; Quarteroni, Alfio; Salsa, Sandro 1 2019 Multi space reduced basis preconditioners for parametrized Stokes equations. Zbl 1442.65357 Dal Santo, Niccolo; Deparis, S.; Manzoni, A.; Quarteroni, A. 1 2019 Numerical approximation of parametrized problems in cardiac electrophysiology by a local reduced basis method. Zbl 1440.92003 Pagani, Stefano; Manzoni, Andrea; Quarteroni, Alfio 24 2018 Numerical models for differential problems. 3rd edition. Zbl 1436.65003 Quarteroni, Alfio 23 2018 A high-order discontinuous Galerkin approximation to ordinary differential equations with applications to elastodynamics. Zbl 1462.65127 Antonietti, Paola F.; Mazzieri, Ilario; Dal Santo, Niccolò; Quarteroni, Alfio 17 2018 Numerical modeling of seismic waves by discontinuous spectral element methods. Zbl 1453.86013 Antonietti, Paola F.; Ferroni, Alberto; Mazzieri, Ilario; Paolucci, Roberto; Quarteroni, Alfio; Smerzini, Chiara; Stupazzini, Marco 11 2018 Analysis of the INTERNODES method for non-conforming discretizations of elliptic equations. Zbl 1440.65203 Gervasio, Paola; Quarteroni, Alfio 10 2018 Multi space reduced basis preconditioners for large-scale parametrized PDEs. Zbl 1453.65416 Santo, Niccolò Dal; Deparis, Simone; Manzoni, Andrea; Quarteroni, Alfio 7 2018 INTERNODES for heterogeneous couplings. Zbl 1442.65428 Gervasio, Paola; Quarteroni, Alfio 6 2018 The role of statistics in the era of big data: a computational scientist’ perspective. Zbl 1489.62010 Quarteroni, Alfio 3 2018 Isogeometric analysis of a phase field model for Darcy flows with discontinuous data. Zbl 1397.65116 Dedè, Luca; Quarteroni, Alfio 2 2018 INTERNODES for elliptic problems. Zbl 1450.65162 Gervasio, Paola; Quarteroni, Alfio 2 2018 Integrated heart – coupling multiscale and multiphysics models for the simulation of the cardiac function. Zbl 1439.74208 Quarteroni, Alfio; Lassila, Toni; Rossi, Simone; Ruiz-Baier, Ricardo 68 2017 The cardiovascular system: mathematical modelling, numerical algorithms and clinical applications. Zbl 1376.92016 Quarteroni, A.; Manzoni, A.; Vergara, C. 60 2017 Reduced basis methods for uncertainty quantification. Zbl 1400.65010 Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi 33 2017 A matrix DEIM technique for model reduction of nonlinear parametrized problems in cardiac mechanics. Zbl 1439.74394 Bonomi, Diana; Manzoni, Andrea; Quarteroni, Alfio 20 2017 Isogeometric analysis and proper orthogonal decomposition for parabolic problems. Zbl 1380.65295 Zhu, Shengfeng; Dedè, Luca; Quarteroni, Alfio 18 2017 Isogeometric analysis and proper orthogonal decomposition for the acoustic wave equation. Zbl 1381.65086 Zhu, Shengfeng; Dedè, Luca; Quarteroni, Alfio 18 2017 Isogeometric approximation of cardiac electrophysiology models on surfaces: an accuracy study with application to the human left atrium. Zbl 1439.76090 Patelli, Alessandro S.; Dedè, Luca; Lassila, Toni; Bartezzaghi, Andrea; Quarteroni, Alfio 16 2017 Efficient state/parameter estimation in nonlinear unsteady PDEs by a reduced basis ensemble Kalman filter. Zbl 1398.65280 Pagani, Stefano; Manzoni, Andrea; Quarteroni, Alfio 12 2017 Complex blood flow patterns in an idealized left ventricle: a numerical study. Zbl 1387.92030 Tagliabue, Anna; Dedè, Luca; Quarteroni, Alfio 10 2017 \(hp\)-version discontinuous Galerkin approximations of the elastodynamics equation. Zbl 1388.74090 Antonietti, Paola F.; Ferroni, Alberto; Mazzieri, Ilario; Quarteroni, Alfio 8 2017 A parallel algorithm for the solution of large-scale nonconforming fluid-structure interaction problems in hemodynamics. Zbl 1399.65237 Forti, Davide; Quarteroni, Alfio; Deparis, Simone 4 2017 M for models. To understand, simulate, design. Zbl 1435.00058 Quarteroni, Alfio 1 2017 Reduced basis methods for partial differential equations. An introduction. Zbl 1337.65113 Quarteroni, Alfio; Manzoni, Andrea; Negri, Federico 378 2016 Geometric multiscale modeling of the cardiovascular system, between theory and practice. Zbl 1423.76528 Quarteroni, A.; Veneziani, A.; Vergara, C. 52 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 37 2016 Facsi: a block parallel preconditioner for fluid-structure interaction in hemodynamics. Zbl 1373.74036 Deparis, Simone; Forti, Davide; Grandperrin, Gwenol; Quarteroni, Alfio 34 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 33 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 31 2016 Parameter estimates for the relaxed dimensional factorization preconditioner and application to hemodynamics. Zbl 1423.76212 Benzi, Michele; Deparis, Simone; Grandperrin, Gwenol; Quarteroni, Alfio 27 2016 Stability analysis of discontinuous Galerkin approximations to the elastodynamics problem. Zbl 1383.74082 Antonietti, Paola F.; Ayuso de Dios, Blanca; Mazzieri, Ilario; Quarteroni, Alfio 22 2016 INTERNODES: an accurate interpolation-based method for coupling the Galerkin solutions of PDEs on subdomains featuring non-conforming interfaces. Zbl 1390.65142 Deparis, Simone; Forti, Davide; Gervasio, Paola; Quarteroni, Alfio 21 2016 A discontinuous Galerkin reduced basis element method for elliptic problems. Zbl 1343.65132 Antonietti, Paola F.; Pacciarini, Paolo; Quarteroni, Alfio 19 2016 The interface control domain decomposition method for Stokes-Darcy coupling. Zbl 1337.49056 Discacciati, Marco; Gervasio, Paola; Giacomini, Alessandro; Quarteroni, Alfio 17 2016 High order discontinuous Galerkin methods on simplicial elements for the elastodynamics equation. Zbl 1398.74291 Antonietti, Paola F.; Marcati, Carlo; Mazzieri, Ilario; Quarteroni, Alfio 15 2016 A coupled 3D-1D numerical monodomain solver for cardiac electrical activation in the myocardium with detailed Purkinje network. Zbl 1352.92006 Vergara, Christian; Lange, Matthias; Palamara, Simone; Lassila, Toni; Frangi, Alejandro F.; Quarteroni, Alfio 12 2016 An online intrinsic stabilization strategy for the reduced basis approximation of parametrized advection-dominated problems. (Une stratégie intrinsèque de stabilisation en ligne pour l’approximation bases réduites de problèmes paramètrés avec transport dominant.) Zbl 1353.65093 Maday, Yvon; Manzoni, Andrea; Quarteroni, Alfio 8 2016 Isogeometric analysis of geometric partial differential equations. Zbl 1439.65145 Bartezzaghi, Andrea; Dedè, Luca; Quarteroni, Alfio 8 2016 A fluid-structure interaction algorithm using radial basis function interpolation between non-conforming interfaces. Zbl 1356.74196 Deparis, Simone; Forti, Davide; Quarteroni, Alfio 7 2016 Dimensionality reduction of parameter-dependent problems through proper orthogonal decomposition. Zbl 1381.65005 Manzoni, Andrea; Negri, Federico; Quarteroni, Alfio 6 2016 A time-parallel framework for coupling finite element and lattice Boltzmann methods. Zbl 1336.65161 Astorino, Matteo; Chouly, Franz; Quarteroni, Alfio 5 2016 Spectral based discontinuous Galerkin reduced basis element method for parametrized Stokes problems. Zbl 1365.76125 Pacciarini, Paolo; Gervasio, Paola; Quarteroni, Alfio 4 2016 Nitsche’s method for parabolic partial differential equations with mixed time varying boundary conditions. Zbl 1382.65327 Tagliabue, Anna; Dedè, Luca; Quarteroni, Alfio 3 2016 Numerical modeling for differential problems. 6th edition. (Modellistica numerica per problemi differenziali.) Zbl 1342.65171 Quarteroni, Alfio 1 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 124 2015 Isogeometric analysis of high order partial differential equations on surfaces. Zbl 1425.65145 Bartezzaghi, Andrea; Dedè, Luca; Quarteroni, Alfio 64 2015 Multiscale homogenization for fluid and drug transport in vascularized malignant tissues. Zbl 1307.92062 Penta, R.; Ambrosi, D.; Quarteroni, A. 33 2015 Isogeometric analysis for second order partial differential equations on surfaces. Zbl 1425.65156 Dedè, Luca; Quarteroni, Alfio 33 2015 ...and 236 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 11,213 Authors 180 Quarteroni, Alfio M. 109 Rozza, Gianluigi 70 Guo, Ben-Yu 68 Dehghan Takht Fooladi, Mehdi 62 Dede’, Luca 60 Bhrawy, Ali Hassan 53 Maday, Yvon 52 Manzoni, Andrea 47 Ruiz-Baier, Ricardo 46 Doha, Eid H. 43 Gatica, Gabriel N. 42 Chen, Yanping 41 Antonietti, Paola Francesca 41 Pavarino, Luca Franco 38 Hesthaven, Jan S. 38 Wang, Zhongqing 34 Abd-Elhameed, Waleed Mohamed 34 Wang, Lilian 34 Zunino, Paolo 33 Ma, Heping 33 Motsa, Sandile Sydney 33 Shen, Jie 32 Băleanu, Dumitru I. 31 Veneziani, Alessandro 30 Vergara, Christian 29 Ballarin, Francesco 29 Benner, Peter 29 Canuto, Claudio 29 Gander, Martin Jakob 29 Heydari, Mohammad Hossein 29 Hou, Yanren 29 Razzaghi, Mohsen 28 Heinrichs, Wilhelm 28 Nobile, Fabio 28 Vabishchevich, Pëtr Nikolaevich 27 Deparis, Simone 27 Oyarzúa, Ricardo 26 Karniadakis, George Em 25 Gervasio, Paola 25 Huang, Yunqing 25 Iliescu, Traian 24 He, Xiaoming 24 Kopriva, David Alan 24 Patera, Anthony T. 23 Abdelkawy, Mohamed A. 23 Bernardi, Christine 23 Gunzburger, Max Donald 23 He, Yinnian 23 Quaini, Annalisa 23 Scacchi, Simone 23 Sibanda, Precious 23 Stabile, Giovanni 23 Wang, Xiaoming 23 Wang, Yushun 23 Yang, Yin 23 Yotov, Ivan 23 Youssri, Youssri H. 23 Zheng, Haibiao 22 Avazzadeh, Zakieh 22 Chacón Rebollo, Tomás 22 Formaggia, Luca 22 Funaro, Daniele 22 Houzeaux, Guillaume 22 Li, Huiyuan 22 Luo, Zhendong 21 Čanić, Sunčica 21 Ordokhani, Yadollah 21 Schwab, Christoph 20 Abbaszadeh, Mostafa 20 Hughes, Thomas J. R. 20 Li, Jian 20 Peherstorfer, Benjamin 20 Toro, Eleuterio Francisco 20 Wang, Cheng 20 Wang, Tianjun 20 Xu, Chuanju 19 Blanco, Pablo Javier 19 Bukač, Martina 19 Chen, Peng 19 Codina, Ramon 19 Herrero, Henar 19 Mazzieri, Ilario 19 Nicholls, David P. 19 Penta, Raimondo 19 Perotto, Simona 19 Wall, Wolfgang A. 19 Zhang, Zhimin 18 Fernández, Miguel Ángel 18 Gassner, Gregor J. 18 Li, Jichun 18 Nelakanti, Gnaneshwar 18 Regazzoni, Francesco 18 Sacco, Riccardo 18 Verani, Marco 18 Willcox, Karen E. 18 Wohlmuth, Barbara I. 18 Zaky, Mahmoud A. 17 Burman, Erik 17 Chung, Tsz Shun Eric 17 Discacciati, Marco ...and 11,113 more Authors all top 5 Cited in 540 Serials 791 Journal of Computational Physics 662 Computer Methods in Applied Mechanics and Engineering 399 Journal of Computational and Applied Mathematics 398 Journal of Scientific Computing 330 Computers & Mathematics with Applications 320 Applied Numerical Mathematics 256 Applied Mathematics and Computation 201 SIAM Journal on Scientific Computing 185 Computers and Fluids 185 International Journal for Numerical Methods in Engineering 158 Numerical Methods for Partial Differential Equations 140 Journal of Fluid Mechanics 139 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 130 Numerical Algorithms 115 Numerische Mathematik 110 SIAM Journal on Numerical Analysis 106 Mathematical Methods in the Applied Sciences 99 Advances in Computational Mathematics 98 Mathematics of Computation 93 International Journal for Numerical Methods in Fluids 88 International Journal of Computer Mathematics 87 Applied Mathematical Modelling 80 Computational Mechanics 67 Computer Physics Communications 67 Communications in Nonlinear Science and Numerical Simulation 64 Journal of Mathematical Analysis and Applications 63 Computational and Applied Mathematics 62 Mathematics and Computers in Simulation 58 Calcolo 58 Communications in Computational Physics 56 M\(^3\)AS. 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