World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
45
Citations
6610
World Ranking
1507
National Ranking
40

Decio Levi 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 Decio Levi 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: 243 publications — 75th percentile

75% of scientists in this discipline score the same or lower.

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

Decio Levi 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 Decio Levi 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: 45 D-Index — 61st percentile

61% of scientists in this discipline score the same or lower.

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

Overview

Decio Levi is affiliated with Roma Tre University in Italy and is active in research across the fields of mathematics and physics and astronomy. Their work spans various subfields, including statistical and nonlinear physics, numerical analysis, spectroscopy, geometry and topology, and computational theory and mathematics.

Their research focuses on several main topics such as nonlinear waves and solitons, numerical methods for differential equations, molecular spectroscopy and chirality, graph theory and applications, matrix theory and algorithms, mathematical and theoretical epidemiology and ecology models, and differential equations and boundary problems.

Decio Levi has published articles in multiple academic venues. These include:

  • Ufimskii Matematicheskii Zhurnal
  • arXiv (Cornell University)
  • Symmetry Integrability and Geometry Methods and Applications
  • Open Communications in Nonlinear Mathematical Physics
  • Interactive Learning Environments

Their notable recent papers are:

  • "Yamilov's theorem for differential and difference equations" (2021), published in Ufimskii Matematicheskii Zhurnal
  • "Non-Existence of S-Integrable Three-Point Partial Difference Equations in the Lattice Plane" (2023), published in arXiv (Cornell University)
  • "Non-Existence of S-Integrable Three-Point Partial Difference Equations in the Lattice Plane" (2023), published in Symmetry Integrability and Geometry Methods and Applications
  • "High order multiscale analysis of discrete integrable equations" (2024), published in Open Communications in Nonlinear Mathematical Physics
  • "Zooming in: exploring student perspectives on collaborative group assignments in virtual breakout rooms" (2025), published in Interactive Learning Environments

In addition, Decio Levi has contributed to book publications. One such work is part of the CRM monograph series titled "Continuous Symmetries and Integrability of Discrete Equations" published in 2023.

Frequent co-authors collaborating with Decio Levi include:

  • P. Winternitz
  • R. I. Yamilov
  • Miguel Á. Rodríguez
  • Rafael Hernández Heredero
  • Christian Scimiterna

Best Publications

  • Non-classical symmetry reduction: example of the Boussinesq equation

    Decio Levi;P. Winternitz

  • Continuous symmetries of discrete equations

    Decio Levi;Decio Levi;P. Winternitz

  • Symmetry reduction for the Kadomtsev–Petviashvili equation using a loop algebra

    D David;N Kamran;Decio Levi;P. Winternitz

  • Symmetries and conditional symmetries of differential difference equations

    Decio Levi;P. Winternitz

  • Nonlinear differential difference equations as Backlund transformations

    D Levi

  • Conditions for the existence of higher symmetries of evolutionary equations on the lattice

    Decio Levi;R. Yamilov

  • Continuous symmetries of difference equations

    Decio Levi;Pavel Winternitz

  • Bäcklund transformations and nonlinear differential difference equations.

    D. Levi;R. Benguria

  • Lie group formalism for difference equations

    Decio Levi;L Vinet;P. Winternitz

  • Subalgebras of loop algebras and symmetries of the Kadomtsev-Petviashvili equation.

    D David;N Kamran;D Levi;P Winternitz

  • Painlevé transcendents : their asymptotics and physical applications

    Decio Levi;Pavel Winternitz

  • Self-similarity in transient stimulated Raman scattering.

    Cr Menyuk;Decio Levi;P. Winternitz

  • Symmetries of discrete dynamical systems

    Decio Levi;P. Winternitz

  • Perturbative approach to some one-dimensional many-body problems. I: Discussion of the Rayleigh-Schrödinger and Brillouin-Wigner series for the Sutherland model

    D. Levi;O. Ragnisco

  • Integrable systems describing surfaces of non-constant curvature

    Decio Levi;A. Sym

  • Integrable Nonlinear Equations for Water Waves in Straits of Varying Depth and Width

    D David;D David;Decio Levi;Decio Levi;P. Winternitz;P. Winternitz

  • DRESSING METHOD VS CLASSICAL DARBOUX TRANSFORMATION

    Decio Levi;Orlando Ragnisco;A. Sym

  • Umbral calculus, difference equations and the discrete Schrödinger equation

    Decio Levi;Piergiulio Tempesta;Pavel Winternitz

  • On a new Darboux transformation for the construction of exact solutions of the Schrodinger equation

    Decio Levi

  • Symmetries and integrability of difference equations

    Decio Levi;Peter J. Olver;Zora Thomova;Pavel Winternitz

  • Continuous Symmetries of Difference Equations

    D. Levi;P. Winternitz

Frequent Co-Authors

Pavel Winternitz
Pavel Winternitz University of Montreal
Orlando Ragnisco
Orlando Ragnisco Roma Tre University
Peter J. Olver
Peter J. Olver University of Minnesota
Colin Rogers
Colin Rogers University of New South Wales
Luc Vinet
Luc Vinet University of Montreal
Curtis R. Menyuk
Curtis R. Menyuk University of Maryland, Baltimore County
Alan Coley
Alan Coley Dalhousie University
Francesco Calogero
Francesco Calogero Sapienza University of Rome
G. R. W. Quispel
G. R. W. Quispel La Trobe University
Paolo Maria Santini
Paolo Maria Santini University of Parma

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