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Luigi Brugnano

Luigi Brugnano

D-Index & Metrics

Discipline name D-Index World Ranking Current World Ranking National Ranking Current National Ranking Publications Citations
Mathematics 36 2689 2405 86 80 181 4325

Luigi Brugnano publications per year

The chart shows the history of publications by Luigi Brugnano between 1990 and 2025, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Luigi Brugnano published across 36 years, from 1990 to 2025, averaging 5.6 papers a year. Output peaked at 15 publications in 2015. 18 of the 200 publications appeared in the last two years.

No. of publications
5 10 15
Bar chart. Horizontal axis: year, 1990 to 2025. Vertical axis: number of publications, 0 to 15. Peak 15 publications in 2015. 1990: 2 publications 1991: 4 publications 1992: 4 publications 1993: 6 publications 1994: 0 publications 1995: 4 publications 1996: 3 publications 1997: 7 publications 1998: 3 publications 1999: 0 publications 2000: 6 publications 2001: 1 publication 2002: 1 publication 2003: 1 publication 2004: 3 publications 2005: 2 publications 2006: 2 publications 2007: 3 publications 2008: 3 publications 2009: 12 publications 2010: 13 publications 2011: 5 publications 2012: 11 publications 2013: 5 publications 2014: 5 publications 2015: 15 publications 2016: 4 publications 2017: 2 publications 2018: 7 publications 2019: 14 publications 2020: 10 publications 2021: 9 publications 2022: 11 publications 2023: 4 publications 2024: 10 publications 2025: 8 publications
1990 2025

200 publications in total across all disciplines

View publications per year as a table
Luigi Brugnano: publications per year, 1990 to 2025
Year Publications
1990 2
1991 4
1992 4
1993 6
1994 0
1995 4
1996 3
1997 7
1998 3
1999 0
2000 6
2001 1
2002 1
2003 1
2004 3
2005 2
2006 2
2007 3
2008 3
2009 12
2010 13
2011 5
2012 11
2013 5
2014 5
2015 15
2016 4
2017 2
2018 7
2019 14
2020 10
2021 9
2022 11
2023 4
2024 10
2025 8
Total 200
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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.

No. of scientists
25 50 75 100
Bar chart with 100 bars. Horizontal axis: publications, 42–46 to 537+. Vertical axis: number of scientists, 0 to 112. Most scientists, 112, have 142–146 publications. The last bar groups every scientist with 537 publications or more. The highlighted bar, 177–181 publications, is where this scientist sits. 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 scientist 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientist 522–526 publications: 3 scientists 527–531 publications: 1 scientist 532–536 publications: 4 scientists 537+ publications: 100 scientists
42–46 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.

View publications distribution as a table
Number of Mathematics scientists by publication count, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
Publications Scientists This scientist
42–46 3
47–51 5
52–56 7
57–61 20
62–66 14
67–71 25
72–76 19
77–81 35
82–86 50
87–91 60
92–96 86
97–101 84
102–106 83
107–111 90
112–116 99
117–121 90
122–126 91
127–131 109
132–136 110
137–141 98
142–146 112
147–151 102
152–156 88
157–161 106
162–166 83
167–171 102
172–176 77
177–181 81 181
182–186 78
187–191 71
192–196 92
197–201 64
202–206 69
207–211 64
212–216 62
217–221 58
222–226 53
227–231 50
232–236 46
237–241 46
242–246 46
247–251 43
252–256 29
257–261 45
262–266 30
267–271 33
272–276 34
277–281 30
282–286 31
287–291 21
292–296 34
297–301 26
302–306 10
307–311 17
312–316 23
317–321 13
322–326 16
327–331 26
332–336 13
337–341 13
342–346 16
347–351 17
352–356 12
357–361 18
362–366 18
367–371 9
372–376 11
377–381 8
382–386 8
387–391 9
392–396 9
397–401 8
402–406 11
407–411 6
412–416 6
417–421 9
422–426 8
427–431 5
432–436 8
437–441 8
442–446 4
447–451 4
452–456 4
457–461 2
462–466 2
467–471 4
472–476 3
477–481 3
482–486 6
487–491 3
492–496 5
497–501 5
502–506 1
507–511 6
512–516 4
517–521 1
522–526 3
527–531 1
532–536 4
537+ 100
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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.

No. of scientists
50 100 150
Bar chart with 57 bars. Horizontal axis: D-Index, 30 to 86+. Vertical axis: number of scientists, 0 to 174. Most scientists, 174, have 30 D-Index. The last bar groups every scientist with 86 D-Index or more. The highlighted bar, 36 D-Index, is where this scientist sits. 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.

View D-Index distribution as a table
Number of Mathematics scientists by D-index, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
D-Index Scientists This scientist
30 174
31 151
32 174
33 117
34 136
35 127
36 145 36
37 153
38 150
39 150
40 138
41 136
42 93
43 108
44 115
45 112
46 103
47 75
48 59
49 67
50 60
51 57
52 59
53 62
54 60
55 50
56 42
57 54
58 50
59 42
60 41
61 35
62 40
63 21
64 31
65 27
66 29
67 19
68 25
69 17
70 18
71 12
72 14
73 13
74 18
75 9
76 11
77 10
78 9
79 16
80 12
81 10
82 5
83 5
84 13
85 6
86+ 99
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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

  • 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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