World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

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

Gianluigi Rozza publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Gianluigi Rozza sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 348 publications — 90th percentile

90% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Gianluigi Rozza D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Gianluigi Rozza sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 58 D-Index — 83rd percentile

83% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

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
Antonio Cammi
Antonio Cammi Polytechnic University of Milan
Jan S. Hesthaven
Jan S. Hesthaven Karlsruhe Institute of Technology
Guglielmo Scovazzi
Guglielmo Scovazzi Duke University
Mario Ohlberger
Mario Ohlberger University of Münster
Yvon Maday
Yvon Maday Sorbonne University
Karen Willcox
Karen Willcox The University of Texas at Austin

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