World's Best Scientists 2026 revealed!
Luigi Brugnano

Luigi Brugnano

D-Index & Metrics

Mathematics

D-Index
36
Citations
4325
World Ranking
2689
National Ranking
86

Luigi Brugnano 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 Luigi Brugnano 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: 181 publications — 54th percentile

54% of scientists in this discipline score the same or lower.

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

Luigi Brugnano 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 Luigi Brugnano 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: 36 D-Index — 29th percentile

29% of scientists in this discipline score the same or lower.

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

Overview

Luigi Brugnano is affiliated with the University of Florence in Italy and has made contributions primarily in the field of Mathematics, with a focus on Numerical Analysis and related subfields. Their research encompasses a range of topics concentrated mainly on numerical methods for differential equations and computational mathematics.

The main fields of study associated with their work include:

  • Mathematics

Within this broad field, their subfields of study are:

  • Numerical Analysis
  • Computational Theory and Mathematics
  • Modeling and Simulation
  • Electrical and Electronic Engineering
  • Computational Mechanics

The major research topics covered by Luigi Brugnano include:

  • Numerical methods for differential equations
  • Fractional Differential Equations Solutions
  • Differential Equations and Numerical Methods
  • Matrix Theory and Algorithms
  • Electromagnetic Simulation and Numerical Methods
  • Advanced Numerical Methods in Computational Mathematics
  • COVID-19 epidemiological studies

Their scholarly output includes research published in various scientific venues. The most frequent publication venues are:

  • arXiv (Cornell University)
  • AIP conference proceedings
  • Journal of Computational and Applied Mathematics
  • Numerical Algorithms
  • Journal of Scientific Computing

Notable recent papers authored by Luigi Brugnano, with publication year and venue, include:

  • Arbitrarily high-order energy-preserving methods for simulating the gyrocenter dynamics of charged particles, 2020, Journal of Computational and Applied Mathematics
  • A multiregional extension of the SIR model, with application to the COVID-19 spread in Italy, 2020, Mathematical Methods in the Applied Sciences
  • A new framework for polynomial approximation to differential equations, 2022, Advances in Computational Mathematics
  • A general framework for solving differential equations, 2022, ANNALI DELL UNIVERSITA DI FERRARA

Frequent co-authors working alongside Luigi Brugnano comprise:

  • Felice Iavernaro
  • Pierluigi Amodio
  • Gianmarco Gurioli
  • Gianluca Frasca-Caccia
  • Luigi Barletti

Best Publications

  • Solving differential problems by multistep initial and boundary value methods

    L Brugnano;D. Trigiante

  • Hamiltonian Boundary Value Methods (Energy Conserving Discrete Line Integral Methods)

    Luigi Brugnano;Felice Iavernaro;Donato Trigiante

  • A simple framework for the derivation and analysis of effective one-step methods for ODEs

    Luigi Brugnano;Felice Iavernaro;Donato Trigiante

  • Line Integral Methods for Conservative Problems

    Luigi Brugnano;Felice Iavernaro

  • A note on the efficient implementation of Hamiltonian BVMs

    Luigi Brugnano;Felice Iavernaro;Donato Trigiante

  • Iterative Solution of Piecewise Linear Systems

    Luigi Brugnano;Vincenzo Casulli

  • Energy- and Quadratic Invariants--Preserving Integrators Based upon Gauss Collocation Formulae

    Luigi Brugnano;Felice Iavernaro;Donato Trigiante

  • Analysis of Hamiltonian Boundary Value Methods (HBVMs): A class of energy-preserving Runge–Kutta methods for the numerical solution of polynomial Hamiltonian systems

    Luigi Brugnano;Felice Iavernaro;Donato Trigiante

  • Energy conservation issues in the numerical solution of the semilinear wave equation

    L. Brugnano;G. Frasca Caccia;F. Iavernaro

  • Convergence and stability of boundary value methods for ordinary differential equations

    L. Brugnano;D. Trigiante

  • Blended implementation of block implicit methods for ODEs

    Luigi Brugnano;Cecilia Magherini

  • Iterative Solution of Piecewise Linear Systems and Applications to Flows in Porous Media

    Luigi Brugnano;Vincenzo Casulli

  • A class of energy-conserving Hamiltonian boundary value methods for nonlinear Schrödinger equation with wave operator

    Luigi Brugnano;Chengjian Zhang;Dongfang Li

  • On the Existence of Energy-Preserving Symplectic Integrators Based upon Gauss Collocation Formulae

    Luigi Brugnano;Felice Iavernaro;Donato Trigiante

  • Energy-preserving methods for Poisson systems

    L. Brugnano;M. Calvo;J. I. Montijano;L. RáNdez

  • Hamiltonian BVMs (HBVMs): A Family of "Drift Free" Methods for Integrating polynomial Hamiltonian problems'

    Luigi Brugnano;Felice Iavernaro;Donato Trigiante

  • Efficient implementation of Gauss collocation and Hamiltonian boundary value methods

    Luigi Brugnano;Gianluca Frasca Caccia;Felice Iavernaro

  • Boundary value methods: The third way between linear multistep and Runge-Kutta methods

    L. Brugnano;D. Trigiante

  • Analysis of spectral Hamiltonian boundary value methods (SHBVMs) for the numerical solution of ODE problems

    Pierluigi Amodio;Luigi Brugnano;Felice Iavernaro

  • High-order multistep methods for boundary value problems

    L. Brugnano;D. Trigiante

  • The lack of continuity and the role of infinite and infinitesimal in numerical methods for ODEs: The case of symplecticity☆

    Luigi Brugnano;Felice Iavernaro;Donato Trigiante

  • Energy-conserving methods for the nonlinear Schrödinger equation

    L. Barletti;L. Brugnano;G. Frasca Caccia;F. Iavernaro

Frequent Co-Authors

Yaroslav D. Sergeyev
Yaroslav D. Sergeyev University of Calabria
Kevin Burrage
Kevin Burrage Queensland University of Technology

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