2022 - Research.com Engineering and Technology in Italy Leader Award
2022 - Research.com Mathematics in Italy Leader Award
2014 - Member of Academia Europaea
2010 - Member of the European Academy of Sciences
2009 - SIAM Fellow For contributions to the numerical solution of partial differential equations and applications.
2004 - Fellow of the International Association for Computational Mechanics (IACM)
Lisbon Academy of Sciences (Academia das Ciências de Lisboa)
Mathematical analysis, Finite element method, Applied mathematics, Numerical analysis and Domain decomposition methods are his primary areas of study. His Mathematical analysis research is multidisciplinary, incorporating elements of Fluid dynamics, Navier–Stokes equations, Galerkin method and Iterative method. His work in Finite element method tackles topics such as Nonlinear system which are related to areas like Structure.
The various areas that Alfio Quarteroni examines in his Applied mathematics study include Linearization, Geometry, Spectral method, Mathematical optimization and Discretization. The study incorporates disciplines such as Multigrid method, Stability, Calculus and Computation in addition to Numerical analysis. His research in Domain decomposition methods focuses on subjects like Decomposition method, which are connected to Preconditioner.
The scientist’s investigation covers issues in Mathematical analysis, Finite element method, Applied mathematics, Discretization and Partial differential equation. His Mathematical analysis research is multidisciplinary, incorporating perspectives in Navier–Stokes equations and Domain decomposition methods. His biological study spans a wide range of topics, including Coupling and Domain.
His research in Finite element method intersects with topics in Mechanics and Preconditioner. His Applied mathematics study which covers Basis that intersects with Projection and Greedy algorithm. His work carried out in the field of Partial differential equation brings together such families of science as Isogeometric analysis and Galerkin method.
His primary areas of investigation include Applied mathematics, Finite element method, Discretization, Internal medicine and Cardiology. His Applied mathematics study incorporates themes from Basis, Projection, Partial differential equation, Interpolation and Degree of a polynomial. Alfio Quarteroni usually deals with Partial differential equation and limits it to topics linked to Isogeometric analysis and Basis function, Galerkin method and Mathematical analysis.
He works on Mathematical analysis which deals in particular with Finite difference. His Finite element method research incorporates themes from Electromechanics, Mechanics, Numerical analysis and Preconditioner. His Discretization study frequently involves adjacent topics like Model order reduction.
Alfio Quarteroni mainly investigates Applied mathematics, Finite element method, Discretization, Mechanics and Ode. His Applied mathematics research integrates issues from Basis function, Ordinary differential equation and Discontinuous Galerkin method. He interconnects Ventricular contraction and Aortic valve in the investigation of issues within Finite element method.
The Discretization study combines topics in areas such as Stability, Model order reduction, Preconditioner, Isogeometric analysis and Newton's method. His Isogeometric analysis research is multidisciplinary, relying on both Navier–Stokes equations, Boundary value problem and Galerkin method. His work carried out in the field of Mechanics brings together such families of science as Torsion, Element and Cardiac mechanics.
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Numerical Approximation of Partial Differential Equations
Alfio M. Quarteroni;Alberto Valli.
Spectral Methods: Fundamentals in Single Domains
Claudio Canuto;M.Y. Hussaini;A. Quarteroni;T.A. Zang.
Domain Decomposition Methods for Partial Differential Equations
Alfio Quarteroni;Alberto Valli.
Spectral Methods: Evolution to Complex Geometries and Applications to Fluid Dynamics
Claudio Canuto;M. Y. Hussaini;A. Quarteroni;T. A. Zang.
Cardiovascular mathematics : modeling and simulation of the circulatory system
Luca Formaggia;Alfio Quarteroni;Alessandro Veneziani.
On the coupling of 3D and 1D Navier-Stokes equations for flow problems in compliant vessels
Luca Formaggia;Jean Frédéric Gerbeau;Fabio Nobile;Alfio Quarteroni;Alfio Quarteroni.
Computer Methods in Applied Mechanics and Engineering (2001)
Numerical Models for Differential Problems
Computational vascular fluid dynamics: problems, models and methods
Alfio Quarteroni;Massimiliano Tuveri;Alessandro Veneziani.
Computing and Visualization in Science (2000)
Approximation results for orthogonal polynomials in Sobolev spaces
C. Canuto;A. Quarteroni.
Mathematics of Computation (1982)
Reduced Basis Methods for Partial Differential Equations: An Introduction
Alfio Maria Quarteroni;Andrea Manzoni;Federico Negri.
Journal des Mathematiques Pures et Appliquees
(Impact Factor: 2.282)
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