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Mathematics

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

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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