Luigi Brugnano

87 papers Journal 85Unranked 2
YearRankTypeTitle / Venue / Authors
2026 J jnl
On the use of the principle of maximum entropy to improve the robustness of bivariate spline least-squares approximation.
Math. Comput. Simul.
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
2025 J jnl
A shooting-Newton procedure for solving fractional terminal value problems.
Appl. Math. Comput.
Luigi Brugnano, Gianmarco Gurioli, Felice Iavernaro
2025 J jnl
Analysis and implementation of collocation methods for fractional differential equations.
CoRR
Luigi Brugnano, Gianmarco Gurioli, Felice Iavernaro, Mikk Vikerpuur
2025 J jnl
Analysis and implementation of collocation methods for fractional differential equations.
J. Sci. Comput.
Luigi Brugnano, Gianmarco Gurioli, Felice Iavernaro, Mikk Vikerpuur
2025 J jnl
Numerical solution of FDE-IVPs by using fractional HBVMs: the fhbvm code.
Numer. Algorithms
Luigi Brugnano, Gianmarco Gurioli, Felice Iavernaro
2025 J jnl
On the use of the principle of maximum entropy in bivariate splines least-squares approximation.
CoRR
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
2025 J jnl
Recent advances in the numerical solution of multi-order fractional differential equations.
CoRR
Luigi Brugnano, Gianmarco Gurioli, Felice Iavernaro, Mikk Vikerpuur
2025 J jnl
Solving FDE-IVPs by using Fractional HBVMs: Some experiments with the fhbvm code.
J. Comput. Methods Sci. Eng.
Luigi Brugnano, Gianmarco Gurioli, Felice Iavernaro
2024 J jnl
A Spectrally Accurate Step-by-Step Method for the Numerical Solution of Fractional Differential Equations.
J. Sci. Comput.
Luigi Brugnano, Kevin Burrage, Pamela M. Burrage, Felice Iavernaro
2024 J jnl
An entropy-based approach for a robust least squares spline approximation.
J. Comput. Appl. Math.
Luigi Brugnano, Domenico Giordano, Felice Iavernaro, Giorgia Rubino
2024 J jnl
Numerical solution of FDE-IVPs by using Fractional HBVMs: the fhbvm code.
CoRR
Luigi Brugnano, Gianmarco Gurioli, Felice Iavernaro
2024 J jnl
Recent advances in the numerical solution of the Nonlinear Schrödinger Equation.
J. Comput. Appl. Math.
Luigi Barletti, Luigi Brugnano, Gianmarco Gurioli, Felice Iavernaro
2024 J jnl
Simulating combined monoaminergic depletions in a PD animal model through a bio-constrained differential equations system.
Frontiers Comput. Neurosci.
Samuele Carli, Luigi Brugnano, Daniele Caligiore
2024 J jnl
Solving FDE-IVPs by using Fractional HBVMs: some experiments with the fhbvm code.
CoRR
Luigi Brugnano, Gianmarco Gurioli, Felice Iavernaro
2023 J jnl
(Spectral) Chebyshev collocation methods for solving differential equations.
Numer. Algorithms
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
2023 J jnl
A shooting-Newton procedure for solving fractional terminal value problems.
CoRR
Luigi Brugnano, Gianmarco Gurioli, Felice Iavernaro
2023 J jnl
A spectrally accurate step-by-step method for the numerical solution of fractional differential equations.
CoRR
Luigi Brugnano, Kevin Burrage, Pamela M. Burrage, Felice Iavernaro
2023 J jnl
An entropy-based approach for a robust least squares spline approximation.
CoRR
Luigi Brugnano, Domenico Giordano, Felice Iavernaro, Giorgia Rubino
2022 J jnl
(Spectral) Chebyshev collocation methods for solving differential equations.
CoRR
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
2022 J jnl
A new framework for polynomial approximation to differential equations.
Adv. Comput. Math.
Luigi Brugnano, Gianluca Frasca Caccia, Felice Iavernaro, Vincenzo Vespri
2022 J jnl
A note on a stable algorithm for computing the fractional integrals of orthogonal polynomials.
Appl. Math. Lett.
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
2022 J jnl
A note on a stable algorithm for computing the fractional integrals of orthogonal polynomials.
CoRR
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
2022 J jnl
Arbitrarily high-order energy-conserving methods for Hamiltonian problems with quadratic holonomic constraints.
CoRR
Pierluigi Amodio, Luigi Brugnano, Gianluca Frasca Caccia, Felice Iavernaro
2022 J jnl
Arbitrarily high-order energy-conserving methods for Poisson problems.
Numer. Algorithms
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
2022 J jnl
Arbitrary high-order methods for one-sided direct event location in discontinuous differential problems with nonlinear event function.
CoRR
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
2022 J jnl
Continuous-Stage Runge-Kutta Approximation to Differential Problems.
Axioms
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
2022 J jnl
Continuous-Stage Runge-Kutta approximation to Differential Problems.
CoRR
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
2021 J jnl
A new framework for polynomial approximation to differential equations.
CoRR
Luigi Brugnano, Gianluca Frasca Caccia, Felice Iavernaro, Vincenzo Vespri
2021 J jnl
Arbitrarily high-order methods for Poisson problems.
CoRR
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
2021 J jnl
Foreword to the virtual special issue dedicated to the 3rd International Conference NUMTA 2019 "Numerical Computations: Theory and Algorithms".
J. Comput. Appl. Math.
Luigi Brugnano, Yaroslav D. Sergeyev, Anatoly Zhigljavsky
2021 J jnl
Implementation of the
J. Informetrics
Pierluigi Amodio, Luigi Brugnano, Filippo Scarselli
2021 J jnl
Implementation of the PaperRank and AuthorRank indices in the Scopus database.
CoRR
Pierluigi Amodio, Luigi Brugnano, Filippo Scarselli
2021 J jnl
Metodi Iterativi per Sistemi Lineari.
CoRR
Luigi Brugnano, Cecilia Magherini
2021 J jnl
Preface to the virtual special issue recent developments in applied mathematics and computation.
Appl. Math. Comput.
Luigi Brugnano, Dmitri E. Kvasov, Yaroslav D. Sergeyev
2020 J jnl
An implicit difference scheme with the KPS preconditioner for two-dimensional time-space fractional convection-diffusion equations.
Comput. Math. Appl.
Yongtao Zhou, Chengjian Zhang, Luigi Brugnano
2020 J jnl
Analysis of spectral Hamiltonian boundary value methods (SHBVMs) for the numerical solution of ODE problems.
Numer. Algorithms
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
2020 J jnl
Arbitrarily high-order energy-preserving methods for simulating the gyrocenter dynamics of charged particles.
CoRR
Luigi Brugnano, Felice Iavernaro, Ruili Zhang
2020 J jnl
Arbitrarily high-order energy-preserving methods for simulating the gyrocenter dynamics of charged particles.
J. Comput. Appl. Math.
Luigi Brugnano, Felice Iavernaro, Ruili Zhang
2020 J jnl
On the use of the Infinity Computer architecture to set up a dynamic precision floating-point arithmetic.
CoRR
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro, Francesca Mazzia
2020 J jnl
On the use of the Infinity Computer architecture to set up a dynamic precision floating-point arithmetic.
Soft Comput.
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro, Francesca Mazzia
2020 J jnl
Preconditioned quasi-compact boundary value methods for space-fractional diffusion equations.
Numer. Algorithms
Yongtao Zhou, Chengjian Zhang, Luigi Brugnano
2020 J jnl
Spectrally accurate space-time solution of Manakov systems.
J. Comput. Appl. Math.
Luigi Barletti, Luigi Brugnano, Yifa Tang, Beibei Zhu
2019 — conf
A Dynamic Precision Floating-Point Arithmetic Based on the Infinity Computer Framework.
NUMTA (2)
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro, Francesca Mazzia
2019 J jnl
A note on the continuous-stage Runge-Kutta formulation of Hamiltonian Boundary Value Methods (HBVMs).
CoRR
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
2019 J jnl
A note on the continuous-stage Runge-Kutta(-Nyström) formulation of Hamiltonian Boundary Value Methods (HBVMs).
Appl. Math. Comput.
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
2019 J jnl
Advanced Numerical Methods in Applied Sciences.
Axioms
Luigi Brugnano, Felice Iavernaro
2019 J jnl
Energy-conserving Hamiltonian Boundary Value Methods for the numerical solution of the Korteweg-de Vries equation.
J. Comput. Appl. Math.
Luigi Brugnano, Gianmarco Gurioli, Yajuan Sun
2019 J jnl
High-order energy-conserving Line Integral Methods for charged particle dynamics.
J. Comput. Phys.
Luigi Brugnano, Juan I. Montijano, Luis Rández
2019 J jnl
On the effectiveness of spectral methods for the numerical solution of multi-frequency highly oscillatory Hamiltonian problems.
Numer. Algorithms
Luigi Brugnano, Juan I. Montijano, Luis Rández
2019 J jnl
Preface.
Numer. Algorithms
Luigi Brugnano, Zdzislaw Jackiewicz, Helmut Podhaisky, Yajuan Sun, Caren Tischendorf
2019 J jnl
Spectrally accurate space-time solution of Hamiltonian PDEs.
Numer. Algorithms
Luigi Brugnano, Felice Iavernaro, Juan I. Montijano, Luis Rández
2019 J jnl
Spectrally accurate space-time solution of Manakov systems.
CoRR
Luigi Barletti, Luigi Brugnano, Yifa Tang, Beibei Zhu
2018 J jnl
A class of energy-conserving Hamiltonian boundary value methods for nonlinear Schrödinger equation with wave operator.
Commun. Nonlinear Sci. Numer. Simul.
Luigi Brugnano, Chengjian Zhang, Dongfang Li
2018 J jnl
Analysis of Energy and QUadratic Invariant Preserving (EQUIP) methods.
J. Comput. Appl. Math.
Luigi Brugnano, Gianmarco Gurioli, Felice Iavernaro
2018 J jnl
Energy-conserving methods for the nonlinear Schrödinger equation.
Appl. Math. Comput.
Luigi Barletti, Luigi Brugnano, Gianluca Frasca Caccia, Felice Iavernaro
2018 J jnl
Foreword to the special issue ''Recent Trends in Numerical Computations: Theory and Algorithms''.
Appl. Math. Comput.
Luigi Brugnano, Dmitri E. Kvasov, Yaroslav D. Sergeyev
2018 J jnl
Line Integral Solution of Differential Problems.
Axioms
Luigi Brugnano, Felice Iavernaro
2015 J jnl
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.
Luigi Brugnano, Felice Iavernaro, Donato Trigiante
2015 J jnl
Energy conservation issues in the numerical solution of the semilinear wave equation.
Appl. Math. Comput.
Luigi Brugnano, Gianluca Frasca Caccia, Felice Iavernaro
2015 J jnl
Energy-conserving methods for Hamiltonian boundary value problems and applications in astrodynamics.
Adv. Comput. Math.
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
2015 J jnl
Preface to the special issue NUMTA 2013.
Commun. Nonlinear Sci. Numer. Simul.
Luigi Brugnano, Yaroslav D. Sergeyev, Anatoly A. Zhigljavsky
2015 J jnl
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.
Luigi Brugnano, Felice Iavernaro, Donato Trigiante
2014 J jnl
Efficient implementation of Gauss collocation and Hamiltonian boundary value methods.
Numer. Algorithms
Luigi Brugnano, Gianluca Frasca Caccia, Felice Iavernaro
2014 J jnl
Multiple invariants conserving Runge-Kutta type methods for Hamiltonian problems.
Numer. Algorithms
Luigi Brugnano, Yajuan Sun
2014 J jnl
Recent advances in bibliometric indexes and the PaperRank problem.
J. Comput. Appl. Math.
Pierluigi Amodio, Luigi Brugnano
2012 J jnl
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.
Luigi Brugnano, Francesca Mazzia
2012 J jnl
A simple framework for the derivation and analysis of effective one-step methods for ODEs.
Appl. Math. Comput.
Luigi Brugnano, Felice Iavernaro, Donato Trigiante
2012 J jnl
A two-step, fourth-order method with energy preserving properties.
Comput. Phys. Commun.
Luigi Brugnano, Felice Iavernaro, Donato Trigiante
2012 J jnl
Energy- and Quadratic Invariants-Preserving Integrators Based upon Gauss Collocation Formulae.
SIAM J. Numer. Anal.
Luigi Brugnano, Felice Iavernaro, Donato Trigiante
2012 J jnl
Energy-preserving methods for Poisson systems.
J. Comput. Appl. Math.
Luigi Brugnano, Manuel Calvo, Juan I. Montijano, Luis Rández
2012 J jnl
Line integral methods which preserve all invariants of conservative problems.
J. Comput. Appl. Math.
Luigi Brugnano, Felice Iavernaro
2012 J jnl
Recent advances in bibliometric indexes and the PaperRank problem
CoRR
Pierluigi Amodio, Luigi Brugnano
2012 J jnl
The lack of continuity and the role of infinite and infinitesimal in numerical methods for ODEs: The case of symplecticity.
Appl. Math. Comput.
Luigi Brugnano, Felice Iavernaro, Donato Trigiante
2011 J jnl
A note on the efficient implementation of Hamiltonian BVMs.
J. Comput. Appl. Math.
Luigi Brugnano, Felice Iavernaro, Donato Trigiante
2009 J jnl
Iterative Solution of Piecewise Linear Systems and Applications to Flows in Porous Media.
SIAM J. Sci. Comput.
Luigi Brugnano, Vincenzo Casulli
2009 J jnl
Parallel Factorizations in Numerical Analysis.
Scalable Comput. Pract. Exp.
Pierluigi Amodio, Luigi Brugnano
2009 J jnl
Special Issue Devoted to Professor Ian Gladwell.
Scalable Comput. Pract. Exp.
Pierluigi Amodio, Luigi Brugnano
2008 J jnl
Iterative Solution of Piecewise Linear Systems.
SIAM J. Sci. Comput.
Luigi Brugnano, Vincenzo Casulli
2005 J jnl
An "Incremental" mathematical model for Immune Thrombocytopenic Purpura (ITP).
Math. Comput. Model.
Luigi Brugnano, Francesca Di Patti, Giovanni Longo
2005 J jnl
Some linear algebra issues concerning the implementation of blended implicit methods.
Numer. Linear Algebra Appl.
Luigi Brugnano, Cecilia Magherini
1997 J jnl
Parallel ODE solvers based on block BVMs.
Adv. Comput. Math.
Pierluigi Amodio, Luigi Brugnano
1996 — conf
Boundary Value Methods for the Numerical Approximation of Ordinary Differential Equations.
WNAA
Luigi Brugnano
1995 J jnl
The Parallel QR Factorization Algorithm for Tridiagonal Linear Systems.
Parallel Comput.
Pierluigi Amodio, Luigi Brugnano
1992 J jnl
Two-level twisted preconditionings for parallel computers.
Concurr. Pract. Exp.
Luigi Brugnano
1991 J jnl
A parallel solver for tridiagonal linear systems for distributed memory parallel computers.
Parallel Comput.
Luigi Brugnano
1991 J jnl
A parallel version of some block preconditionings.
IMPACT Comput. Sci. Eng.
Pierluigi Amodio, Luigi Brugnano
1990 J jnl
Vectorization of some block preconditioned conjugate gradient methods.
Parallel Comput.
Luigi Brugnano, M. Marrone