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Luigi Brugnano

Luigi Brugnano

D-Index & Metrics

Mathematics

D-Index
36
Citations
4325
World Ranking
2688
National Ranking
86

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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