World's Best Scientists 2026 revealed!
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Engineering and Technology
Italy
2026
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Mathematics
Italy
2026

D-Index & Metrics

Mathematics

D-Index
91
Citations
46104
World Ranking
65
National Ranking
2

Engineering and Technology

D-Index
92
Citations
46673
World Ranking
229
National Ranking
2

Research.com Recognitions

  • 2026 - Research.com Engineering and Technology in Italy Leader Award
  • 2026 - Research.com Mathematics in Italy Leader Award
  • 2025 - Research.com Engineering and Technology in Italy Leader Award
  • 2025 - Research.com Mathematics in Italy Leader Award
  • 2023 - Research.com Engineering and Technology in Italy Leader Award
  • 2023 - Research.com Mathematics in Italy Leader Award
  • 2022 - Research.com Engineering and Technology 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)
  • Lisbon Academy of Sciences (Academia das Ciências de Lisboa)
  • Lisbon Academy of Sciences (Academia das Ciências de Lisboa)
  • Lisbon Academy of Sciences (Academia das Ciências de Lisboa)
  • Lisbon Academy of Sciences (Academia das Ciências de Lisboa)
  • Lisbon Academy of Sciences (Academia das Ciências de Lisboa)

Overview

Alfio Quarteroni is affiliated with the Polytechnic University of Milan in Italy. Their research primarily focuses on medicine and engineering, with a notable emphasis on cardiology and cardiovascular medicine, computational mechanics, biomedical engineering, statistical and nonlinear physics, and radiology, nuclear medicine, and imaging.

The scientist's scholarly output covers a variety of main topics, including cardiovascular function and risk factors, cardiac electrophysiology and arrhythmias, elasticity and material modeling, model reduction and neural networks, cardiac arrhythmias and treatments, advanced numerical methods in computational mathematics, and advanced MRI techniques and applications.

Quarteroni's recent papers include:

  • Modeling cardiac muscle fibers in ventricular and atrial electrophysiology simulations (2020), published in Computer Methods in Applied Mechanics and Engineering
  • A comprehensive and biophysically detailed computational model of the whole human heart electromechanics (2023), published in Computer Methods in Applied Mechanics and Engineering
  • A cardiac electromechanical model coupled with a lumped-parameter model for closed-loop blood circulation (2022), published in Journal of Computational Physics
  • A mathematical model that integrates cardiac electrophysiology, mechanics, and fluid dynamics: Application to the human left heart (2022), published in International Journal for Numerical Methods in Biomedical Engineering
  • Deep learning-based reduced order models in cardiac electrophysiology (2020), published in PLoS ONE

Frequent co-authors collaborating with Quarteroni include Luca Dede', Francesco Regazzoni, Matteo Salvador, Andrea Manzoni, and Christian Vergara.

They frequently publish in venues such as arXiv (Cornell University), Computer Methods in Applied Mechanics and Engineering, Zenodo (CERN European Organization for Nuclear Research), International Journal for Numerical Methods in Biomedical Engineering, and Computers in Biology and Medicine.

Quarteroni has contributed to books published by Springer Nature, Copernicus Books, and Springer International Publishing, with titles including "Optimal Control of Partial Differential Equations" (2021), "The Mathematics of Mechanobiology" (2020), "Artificial Intelligence" (2025), and "A Primer on Mathematical Modelling" (2020).

The scientist has received several distinctions, such as membership in Academia Europaea (2014), the European Academy of Sciences (2010), and the Lisbon Academy of Sciences. They were named a SIAM Fellow in 2009 for contributions to the numerical solution of partial differential equations and applications and recognized as a Fellow of the International Association for Computational Mechanics (IACM) in 2004.

Best Publications

  • Spectral Methods in Fluid Dynamics.

    Eitan Tadmor;Claudio Canuto;M. Youssuff Hussaini;Alfio Quarteroni

  • 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

  • Reduced Basis Methods for Partial Differential Equations: An Introduction

    Alfio Maria Quarteroni;Andrea Manzoni;Federico Negri

  • 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

  • Numerical Models for Differential Problems

    Alfio Quarteroni

  • Computational vascular fluid dynamics: problems, models and methods

    Alfio Quarteroni;Massimiliano Tuveri;Alessandro Veneziani

  • Approximation results for orthogonal polynomials in Sobolev spaces

    C. Canuto;A. Quarteroni

  • One-dimensional models for blood flow in arteries

    Luca Formaggia;Daniele Lamponi;Alfio Quarteroni;Alfio Quarteroni

  • Mathematical and numerical models for coupling surface and groundwater flows

    Marco Discacciati;Edie Miglio;Alfio Quarteroni

  • 2D and 3D elastic wave propagation by a pseudo-spectral domain decomposition method

    E. Faccioli;F. Maggio;R. Paolucci;A. Quarteroni

  • Scientific Computing with MATLAB and Octave

    Alfio Quarteroni;Fausto Saleri;Paola Gervasio

  • Mathematical Modelling and Numerical Simulation of the Cardiovascular System

    Alfio Quarteroni;Alfio Quarteroni;Luca Formaggia

  • Reduced Order Methods for Modeling and Computational Reduction

    Alfio Quarteroni;Gianluigi Rozza

  • Multiscale Modelling of the Circulatory System: a Preliminary Analysis

    Luca Formaggia;Fabio Nobile;Alfio Quarteroni;Alessandro Veneziani

  • Numerical Treatment of Defective Boundary Conditions for the Navier--Stokes Equations

    L. Formaggia;J.-F. Gerbeau;F. Nobile;A. Quarteroni

  • Certified reduced basis approximation for parametrized partial differential equations and applications

    Alfio Quarteroni;Alfio Quarteroni;Gianluigi Rozza;Andrea Manzoni

Frequent Co-Authors

Andrea Manzoni
Andrea Manzoni Polytechnic University of Milan
Gianluigi Rozza
Gianluigi Rozza International School for Advanced Studies
Luca Formaggia
Luca Formaggia Polytechnic University of Milan
Alessandro Veneziani
Alessandro Veneziani Emory University
Fabio Nobile
Fabio Nobile École Polytechnique Fédérale de Lausanne
Alejandro F. Frangi
Alejandro F. Frangi University of Manchester
Yvon Maday
Yvon Maday Sorbonne University
Ioannis Tsamardinos
Ioannis Tsamardinos University of Crete
Peter Hunter
Peter Hunter University of Auckland
Florian M. Wurm
Florian M. Wurm École Polytechnique Fédérale de Lausanne

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