Luigi Brugnano

Orcid: 0000-0002-6290-4107

According to our database1, Luigi Brugnano authored at least 69 papers between 1990 and 2025.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2025
A shooting-Newton procedure for solving fractional terminal value problems.
Appl. Math. Comput., 2025

2024
An entropy-based approach for a robust least squares spline approximation.
J. Comput. Appl. Math., June, 2024

A Spectrally Accurate Step-by-Step Method for the Numerical Solution of Fractional Differential Equations.
J. Sci. Comput., May, 2024

Recent advances in the numerical solution of the Nonlinear Schrödinger Equation.
J. Comput. Appl. Math., 2024

Simulating combined monoaminergic depletions in a PD animal model through a bio-constrained differential equations system.
Frontiers Comput. Neurosci., 2024

Solving FDE-IVPs by using Fractional HBVMs: some experiments with the fhbvm code.
CoRR, 2024

Numerical solution of FDE-IVPs by using Fractional HBVMs: the fhbvm code.
CoRR, 2024

2023
(Spectral) Chebyshev collocation methods for solving differential equations.
Numer. Algorithms, August, 2023

2022
Arbitrarily high-order energy-conserving methods for Poisson problems.
Numer. Algorithms, 2022

Arbitrary high-order methods for one-sided direct event location in discontinuous differential problems with nonlinear event function.
CoRR, 2022

Arbitrarily high-order energy-conserving methods for Hamiltonian problems with quadratic holonomic constraints.
CoRR, 2022

Continuous-Stage Runge-Kutta Approximation to Differential Problems.
Axioms, 2022

A note on a stable algorithm for computing the fractional integrals of orthogonal polynomials.
Appl. Math. Lett., 2022

A new framework for polynomial approximation to differential equations.
Adv. Comput. Math., 2022

2021
Implementation of the <i>PaperRank</i> and <i>AuthorRank</i> indices in the Scopus database.
J. Informetrics, 2021

Foreword to the virtual special issue dedicated to the 3rd International Conference NUMTA 2019 "Numerical Computations: Theory and Algorithms".
J. Comput. Appl. Math., 2021

Metodi Iterativi per Sistemi Lineari.
CoRR, 2021

Arbitrarily high-order methods for Poisson problems.
CoRR, 2021

Implementation of the PaperRank and AuthorRank indices in the Scopus database.
CoRR, 2021

Preface to the virtual special issue recent developments in applied mathematics and computation.
Appl. Math. Comput., 2021

2020
On the use of the Infinity Computer architecture to set up a dynamic precision floating-point arithmetic.
Soft Comput., 2020

Preconditioned quasi-compact boundary value methods for space-fractional diffusion equations.
Numer. Algorithms, 2020

Analysis of spectral Hamiltonian boundary value methods (SHBVMs) for the numerical solution of ODE problems.
Numer. Algorithms, 2020

Arbitrarily high-order energy-preserving methods for simulating the gyrocenter dynamics of charged particles.
J. Comput. Appl. Math., 2020

Spectrally accurate space-time solution of Manakov systems.
J. Comput. Appl. Math., 2020

An implicit difference scheme with the KPS preconditioner for two-dimensional time-space fractional convection-diffusion equations.
Comput. Math. Appl., 2020

2019
On the effectiveness of spectral methods for the numerical solution of multi-frequency highly oscillatory Hamiltonian problems.
Numer. Algorithms, 2019

Preface.
Numer. Algorithms, 2019

Spectrally accurate space-time solution of Hamiltonian PDEs.
Numer. Algorithms, 2019

High-order energy-conserving Line Integral Methods for charged particle dynamics.
J. Comput. Phys., 2019

Energy-conserving Hamiltonian Boundary Value Methods for the numerical solution of the Korteweg-de Vries equation.
J. Comput. Appl. Math., 2019

A note on the continuous-stage Runge-Kutta formulation of Hamiltonian Boundary Value Methods (HBVMs).
CoRR, 2019

Advanced Numerical Methods in Applied Sciences.
Axioms, 2019

A note on the continuous-stage Runge-Kutta(-Nyström) formulation of Hamiltonian Boundary Value Methods (HBVMs).
Appl. Math. Comput., 2019

A Dynamic Precision Floating-Point Arithmetic Based on the Infinity Computer Framework.
Proceedings of the Numerical Computations: Theory and Algorithms, 2019

2018
Analysis of Energy and QUadratic Invariant Preserving (EQUIP) methods.
J. Comput. Appl. Math., 2018

A class of energy-conserving Hamiltonian boundary value methods for nonlinear Schrödinger equation with wave operator.
Commun. Nonlinear Sci. Numer. Simul., 2018

Line Integral Solution of Differential Problems.
Axioms, 2018

Foreword to the special issue ''Recent Trends in Numerical Computations: Theory and Algorithms''.
Appl. Math. Comput., 2018

Energy-conserving methods for the nonlinear Schrödinger equation.
Appl. Math. Comput., 2018

2015
Preface to the special issue NUMTA 2013.
Commun. Nonlinear Sci. Numer. Simul., 2015

Reprint of Analysis of Hamiltonian Boundary Value Methods (HBVMs): A class of energy-preserving Runge-Kutta methods for the numerical solution of polynomial Hamiltonian systems.
Commun. Nonlinear Sci. Numer. Simul., 2015

Analysis of Hamiltonian Boundary Value Methods (HBVMs): A class of energy-preserving Runge-Kutta methods for the numerical solution of polynomial Hamiltonian systems.
Commun. Nonlinear Sci. Numer. Simul., 2015

Energy conservation issues in the numerical solution of the semilinear wave equation.
Appl. Math. Comput., 2015

Energy-conserving methods for Hamiltonian boundary value problems and applications in astrodynamics.
Adv. Comput. Math., 2015

2014
Multiple invariants conserving Runge-Kutta type methods for Hamiltonian problems.
Numer. Algorithms, 2014

Efficient implementation of Gauss collocation and Hamiltonian boundary value methods.
Numer. Algorithms, 2014

Recent advances in bibliometric indexes and the PaperRank problem.
J. Comput. Appl. Math., 2014

2012
Energy- and Quadratic Invariants-Preserving Integrators Based upon Gauss Collocation Formulae.
SIAM J. Numer. Anal., 2012

40 years of numerical analysis: "Is the discrete world an approximation of the continuous one or is it the other way around?".
J. Comput. Appl. Math., 2012

Line integral methods which preserve all invariants of conservative problems.
J. Comput. Appl. Math., 2012

Energy-preserving methods for Poisson systems.
J. Comput. Appl. Math., 2012

A two-step, fourth-order method with energy preserving properties.
Comput. Phys. Commun., 2012

A simple framework for the derivation and analysis of effective one-step methods for ODEs.
Appl. Math. Comput., 2012

The lack of continuity and the role of infinite and infinitesimal in numerical methods for ODEs: The case of symplecticity.
Appl. Math. Comput., 2012

2011
A note on the efficient implementation of Hamiltonian BVMs.
J. Comput. Appl. Math., 2011

2009
Iterative Solution of Piecewise Linear Systems and Applications to Flows in Porous Media.
SIAM J. Sci. Comput., 2009

Parallel Factorizations in Numerical Analysis.
Scalable Comput. Pract. Exp., 2009

Special Issue Devoted to Professor Ian Gladwell.
Scalable Comput. Pract. Exp., 2009

2008
Iterative Solution of Piecewise Linear Systems.
SIAM J. Sci. Comput., 2008

2005
Some linear algebra issues concerning the implementation of blended implicit methods.
Numer. Linear Algebra Appl., 2005

An "Incremental" mathematical model for Immune Thrombocytopenic Purpura (ITP).
Math. Comput. Model., 2005

1997
Parallel ODE solvers based on block BVMs.
Adv. Comput. Math., 1997

1996
Boundary Value Methods for the Numerical Approximation of Ordinary Differential Equations.
Proceedings of the Numerical Analysis and Its Applications, First International Workshop, 1996

1995
The Parallel QR Factorization Algorithm for Tridiagonal Linear Systems.
Parallel Comput., 1995

1992
Two-level twisted preconditionings for parallel computers.
Concurr. Pract. Exp., 1992

1991
A parallel solver for tridiagonal linear systems for distributed memory parallel computers.
Parallel Comput., 1991

A parallel version of some block preconditionings.
IMPACT Comput. Sci. Eng., 1991

1990
Vectorization of some block preconditioned conjugate gradient methods.
Parallel Comput., 1990


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