World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
58
Citations
17415
World Ranking
621
National Ranking
13

Overview

Gianluigi Rozza is affiliated with the International School for Advanced Studies in Italy. Their research spans multiple core fields including Engineering and Physics and Astronomy, with a strong focus on Computational Mechanics and Statistical and Nonlinear Physics as primary subfields.

The scientist's work concentrates on advanced topics such as Model Reduction and Neural Networks, Fluid Dynamics and Vibration Analysis, and Probabilistic and Robust Engineering Design. Other key areas include Fluid Dynamics and Turbulent Flows, Advanced Numerical Methods in Computational Mathematics, Computational Fluid Dynamics and Aerodynamics, and Numerical Methods for Differential Equations.

Rozza has authored numerous publications in reputable venues. Frequently published journals and platforms include:

  • arXiv (Cornell University)
  • Journal of Computational Physics
  • Computers & Fluids
  • Computers & Mathematics with Applications
  • International Journal for Numerical Methods in Engineering

Their recent papers illustrate a focus on machine learning approaches to physics and computational fluid dynamics phenomena. Notable recent works include:

  • Scientific Machine Learning Through Physics-Informed Neural Networks: Where we are and What's Next, 2022, Journal of Scientific Computing
  • Data-driven POD-Galerkin reduced order model for turbulent flows, 2020, Journal of Computational Physics
  • Scientific Machine Learning through Physics-Informed Neural Networks: Where we are and What's next, 2022, arXiv (Cornell University)
  • Reduced basis methods for time-dependent problems, 2022, Acta Numerica
  • An artificial neural network approach to bifurcating phenomena in computational fluid dynamics, 2023, Computers & Fluids

Rozza collaborates regularly with a group of frequent co-authors including Francesco Ballarin, Giovanni Stabile, Michele Girfoglio, Nicola Demo, and Annalisa Quaini.

The scientist has contributed to published books through major academic publishers. These include:

  • Real Time Reduced Order Computational Mechanics, 2024, Springer International Publishing
  • Numerical Methods for Flows, 2020, Springer Nature

Best Publications

  • Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations

    Gianluigi Rozza;D.B.P. Huynh;Anthony T. Patera

  • Certified Reduced Basis Methods for Parametrized Partial Differential Equations

    Jan S. Hesthaven;Gianluigi Rozza;Benjamin Stamm

  • Reduced Order Methods for Modeling and Computational Reduction

    Alfio Quarteroni;Gianluigi Rozza

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

    Alfio Quarteroni;Alfio Quarteroni;Gianluigi Rozza;Andrea Manzoni

  • On the stability of the reduced basis method for Stokes equations in parametrized domains

    Gianluigi Rozza;Karen Veroy

  • A Successive Constraint Linear Optimization Method for Lower Bounds of Parametric Coercivity and Inf-Sup Stability Constants

    D.B.P. Huynh;G. Rozza;S. Sen;A.T. Patera

  • Supremizer stabilization of POD-Galerkin approximation of parametrized steady incompressible Navier-Stokes equations

    Francesco Ballarin;Andrea Manzoni;Alfio Maria Quarteroni;Alfio Maria Quarteroni;Gianluigi Rozza

  • Model Order Reduction in Fluid Dynamics: Challenges and Perspectives

    Toni Mikael Lassila;Andrea Manzoni;Alfio Quarteroni;Gianluigi Rozza

  • Finite volume POD-Galerkin stabilised reduced order methods for the parametrised incompressible Navier-Stokes equations

    Giovanni Stabile;Gianluigi Rozza

  • Data-Driven POD-Galerkin Reduced Order Model for Turbulent Flows

    Saddam Hijazi;Giovanni Stabile;Andrea Mola;Gianluigi Rozza

  • Numerical solution of parametrized Navier–Stokes equations by reduced basis methods

    Alfio Quarteroni;Alfio Quarteroni;Gianluigi Rozza

  • Parametric free-form shape design with PDE models and reduced basis method

    Toni Mikael Lassila;Toni Mikael Lassila;Gianluigi Rozza

  • Shape optimization for viscous flows by reduced basis methods and free‐form deformation

    Andrea Manzoni;Alfio Quarteroni;Alfio Quarteroni;Gianluigi Rozza

  • Reduced basis approximation and a posteriori error estimation for Stokes flows in parametrized geometries: roles of the inf-sup stability constants

    Gianluigi Rozza;D. B. Huynh;Andrea Manzoni

  • Reduced basis approximation and a posteriori error estimation for the time-dependent viscous Burgers’ equation

    Ngoc Cuong Nguyen;Gianluigi Rozza;Anthony T. Patera

  • POD-Galerkin method for finite volume approximation of Navier–Stokes and RANS equations

    Stefano Lorenzi;Antonio Cammi;Lelio Luzzi;Gianluigi Rozza

  • OPTIMAL CONTROL AND SHAPE OPTIMIZATION OF AORTO-CORONARIC BYPASS ANASTOMOSES

    Alfio Quarteroni;Gianluigi Rozza

  • Reduced basis method for parametrized elliptic optimal control problems

    Federico Negri;Gianluigi Rozza;Andrea Manzoni;Alfio Quarteroni

  • A reduced computational and geometrical framework for inverse problems in hemodynamics

    Toni Mikael Lassila;Andrea Manzoni;Alfio Quarteroni;Alfio Quarteroni;Gianluigi Rozza

  • POD-Galerkin reduced order methods for CFD using Finite Volume Discretisation: vortex shedding around a circular cylinder

    Giovanni Stabile;Saddam Hijazi;Andrea Mola;Stefano Lorenzi

  • Model reduction techniques for fast blood flow simulation in parametrized geometries

    Andrea Manzoni;Alfio Quarteroni;Alfio Quarteroni;Gianluigi Rozza

Frequent Co-Authors

Alfio Quarteroni
Alfio Quarteroni Polytechnic University of Milan
Andrea Manzoni
Andrea Manzoni Polytechnic University of Milan
Jan S. Hesthaven
Jan S. Hesthaven Karlsruhe Institute of Technology
Mario Ohlberger
Mario Ohlberger University of Münster
Yvon Maday
Yvon Maday Sorbonne University
Karen Willcox
Karen Willcox The University of Texas at Austin
Peter Benner
Peter Benner Max Planck Institute for Dynamics of Complex Technical Systems
Stefan Volkwein
Stefan Volkwein University of Konstanz
Stephen E. Fremes
Stephen E. Fremes University of Toronto

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

For students interested in Mathematics, exploring related online degrees can open doors to versatile career options. Many professionals leverage degrees like an easiest mba to gain managerial skills that complement their analytical backgrounds. Such programs provide a blend of leadership and quantitative expertise, ideal for tech-driven industries.

When flexibility is key, choosing an easiest mba online offers the convenience of studying remotely without compromising the quality of education. This format benefits working professionals looking to upskill without pausing their careers.

For those leaning towards research or high-level consultancy, pursuing the cheapest dba online can be a strategic choice. Doctorate in Business Administration programs focus on applied research and can enhance career prospects in data analytics and strategic management.

Additionally, specializing with an online masters in finance complements mathematical skills with financial acumen, opening pathways in investment banking, actuarial science, and risk management.

Best Scientists Citing Gianluigi Rozza

Trending Scientists

Recently Published Articles