Luigi Brugnano

Publication Activity (10 Years)

Years Active: 1990-2024
Publications (10 Years): 48

Top Topics

Numerical Solution

Differential Equations

Applied Mathematics

Top Venues

Numer. Algorithms

J. Comput. Appl. Math.

Appl. Math. Comput.

Publications

Luigi Brugnano, Kevin Burrage, Pamela M. Burrage, Felice Iavernaro
A Spectrally Accurate Step-by-Step Method for the Numerical Solution of Fractional Differential Equations. J. Sci. Comput. 99 (2) (2024)
Luigi Brugnano, Domenico Giordano, Felice Iavernaro, Giorgia Rubino
An entropy-based approach for a robust least squares spline approximation. J. Comput. Appl. Math. 443 (2024)
Luigi Brugnano, Gianmarco Gurioli, Felice Iavernaro
Solving FDE-IVPs by using Fractional HBVMs: some experiments with the fhbvm code. CoRR (2024)
Luigi Barletti, Luigi Brugnano, Gianmarco Gurioli, Felice Iavernaro
Recent advances in the numerical solution of the Nonlinear Schrödinger Equation. J. Comput. Appl. Math. 445 (2024)
Luigi Brugnano, Gianmarco Gurioli, Felice Iavernaro
Numerical solution of FDE-IVPs by using Fractional HBVMs: the fhbvm code. CoRR (2024)
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
(Spectral) Chebyshev collocation methods for solving differential equations. Numer. Algorithms 93 (4) (2023)
Luigi Brugnano, Kevin Burrage, Pamela M. Burrage, Felice Iavernaro
A spectrally accurate step-by-step method for the numerical solution of fractional differential equations. CoRR (2023)
Luigi Brugnano, Gianmarco Gurioli, Felice Iavernaro
A shooting-Newton procedure for solving fractional terminal value problems. CoRR (2023)
Luigi Brugnano, Domenico Giordano, Felice Iavernaro, Giorgia Rubino
An entropy-based approach for a robust least squares spline approximation. CoRR (2023)
Pierluigi Amodio, Luigi Brugnano, Gianluca Frasca Caccia, Felice Iavernaro
Arbitrarily high-order energy-conserving methods for Hamiltonian problems with quadratic holonomic constraints. CoRR (2022)
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
Continuous-Stage Runge-Kutta Approximation to Differential Problems. Axioms 11 (5) (2022)
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
(Spectral) Chebyshev collocation methods for solving differential equations. CoRR (2022)
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
A note on a stable algorithm for computing the fractional integrals of orthogonal polynomials. Appl. Math. Lett. 134 (2022)
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
Arbitrarily high-order energy-conserving methods for Poisson problems. Numer. Algorithms 91 (2) (2022)
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
Continuous-Stage Runge-Kutta approximation to Differential Problems. CoRR (2022)
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
A note on a stable algorithm for computing the fractional integrals of orthogonal polynomials. CoRR (2022)
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
Arbitrary high-order methods for one-sided direct event location in discontinuous differential problems with nonlinear event function. CoRR (2022)
Luigi Brugnano, Gianluca Frasca Caccia, Felice Iavernaro, Vincenzo Vespri
A new framework for polynomial approximation to differential equations. Adv. Comput. Math. 48 (6) (2022)
Luigi Brugnano, Yaroslav D. Sergeyev, Anatoly Zhigljavsky
Foreword to the virtual special issue dedicated to the 3rd International Conference NUMTA 2019 "Numerical Computations: Theory and Algorithms". J. Comput. Appl. Math. 393 (2021)
Luigi Brugnano, Cecilia Magherini
Metodi Iterativi per Sistemi Lineari. CoRR (2021)
Luigi Brugnano, Dmitri E. Kvasov, Yaroslav D. Sergeyev
Preface to the virtual special issue recent developments in applied mathematics and computation. Appl. Math. Comput. 409 (2021)
Pierluigi Amodio, Luigi Brugnano, Filippo Scarselli
Implementation of the PaperRank and AuthorRank indices in the Scopus database. CoRR (2021)
Pierluigi Amodio, Luigi Brugnano, Filippo Scarselli
indices in the Scopus database. J. Informetrics 15 (4) (2021)
Luigi Brugnano, Gianluca Frasca Caccia, Felice Iavernaro, Vincenzo Vespri
A new framework for polynomial approximation to differential equations. CoRR (2021)
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
Arbitrarily high-order methods for Poisson problems. CoRR (2021)
Yongtao Zhou, Chengjian Zhang, Luigi Brugnano
Preconditioned quasi-compact boundary value methods for space-fractional diffusion equations. Numer. Algorithms 84 (2) (2020)
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
Analysis of spectral Hamiltonian boundary value methods (SHBVMs) for the numerical solution of ODE problems. Numer. Algorithms 83 (4) (2020)
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro, Francesca Mazzia
On the use of the Infinity Computer architecture to set up a dynamic precision floating-point arithmetic. Soft Comput. 24 (23) (2020)
Luigi Barletti, Luigi Brugnano, Yifa Tang, Beibei Zhu
Spectrally accurate space-time solution of Manakov systems. J. Comput. Appl. Math. 377 (2020)
Luigi Brugnano, Felice Iavernaro, Ruili Zhang
Arbitrarily high-order energy-preserving methods for simulating the gyrocenter dynamics of charged particles. J. Comput. Appl. Math. 380 (2020)
Luigi Brugnano, Felice Iavernaro, Ruili Zhang
Arbitrarily high-order energy-preserving methods for simulating the gyrocenter dynamics of charged particles. CoRR (2020)
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro, Francesca Mazzia
On the use of the Infinity Computer architecture to set up a dynamic precision floating-point arithmetic. CoRR (2020)
Yongtao Zhou, Chengjian Zhang, Luigi Brugnano
An implicit difference scheme with the KPS preconditioner for two-dimensional time-space fractional convection-diffusion equations. Comput. Math. Appl. 80 (1) (2020)
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
A note on the continuous-stage Runge-Kutta formulation of Hamiltonian Boundary Value Methods (HBVMs). CoRR (2019)
Luigi Brugnano, Zdzislaw Jackiewicz, Helmut Podhaisky, Yajuan Sun, Caren Tischendorf
Preface. Numer. Algorithms 81 (4) (2019)
Luigi Brugnano, Gianmarco Gurioli, Yajuan Sun
Energy-conserving Hamiltonian Boundary Value Methods for the numerical solution of the Korteweg-de Vries equation. J. Comput. Appl. Math. 351 (2019)
Luigi Barletti, Luigi Brugnano, Yifa Tang, Beibei Zhu
Spectrally accurate space-time solution of Manakov systems. CoRR (2019)
Luigi Brugnano, Juan I. Montijano, Luis Rández
On the effectiveness of spectral methods for the numerical solution of multi-frequency highly oscillatory Hamiltonian problems. Numer. Algorithms 81 (1) (2019)
Luigi Brugnano, Felice Iavernaro, Juan I. Montijano, Luis Rández
Spectrally accurate space-time solution of Hamiltonian PDEs. Numer. Algorithms 81 (4) (2019)
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro, Francesca Mazzia
A Dynamic Precision Floating-Point Arithmetic Based on the Infinity Computer Framework. NUMTA (2) (2019)
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
A note on the continuous-stage Runge-Kutta(-Nyström) formulation of Hamiltonian Boundary Value Methods (HBVMs). Appl. Math. Comput. 363 (2019)
Luigi Brugnano, Juan I. Montijano, Luis Rández
High-order energy-conserving Line Integral Methods for charged particle dynamics. J. Comput. Phys. 396 (2019)
Luigi Brugnano, Felice Iavernaro
Advanced Numerical Methods in Applied Sciences. Axioms 8 (1) (2019)
Luigi Brugnano, Gianmarco Gurioli, Felice Iavernaro
Analysis of Energy and QUadratic Invariant Preserving (EQUIP) methods. J. Comput. Appl. Math. 335 (2018)
Luigi Barletti, Luigi Brugnano, Gianluca Frasca Caccia, Felice Iavernaro
Energy-conserving methods for the nonlinear Schrödinger equation. Appl. Math. Comput. 318 (2018)
Luigi Brugnano, Felice Iavernaro
Line Integral Solution of Differential Problems. Axioms 7 (2) (2018)
Luigi Brugnano, Dmitri E. Kvasov, Yaroslav D. Sergeyev
Foreword to the special issue ''Recent Trends in Numerical Computations: Theory and Algorithms''. Appl. Math. Comput. 318 (2018)
Luigi Brugnano, Chengjian Zhang, Dongfang Li
A class of energy-conserving Hamiltonian boundary value methods for nonlinear Schrödinger equation with wave operator. Commun. Nonlinear Sci. Numer. Simul. 60 (2018)
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
Energy-conserving methods for Hamiltonian boundary value problems and applications in astrodynamics. Adv. Comput. Math. 41 (4) (2015)
Luigi Brugnano, Felice Iavernaro, Donato Trigiante
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. 21 (1-3) (2015)
Luigi Brugnano, Gianluca Frasca Caccia, Felice Iavernaro
Energy conservation issues in the numerical solution of the semilinear wave equation. Appl. Math. Comput. 270 (2015)
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. Commun. Nonlinear Sci. Numer. Simul. 20 (3) (2015)
Luigi Brugnano, Yaroslav D. Sergeyev, Anatoly A. Zhigljavsky
Preface to the special issue NUMTA 2013. Commun. Nonlinear Sci. Numer. Simul. 21 (1-3) (2015)
Luigi Brugnano, Yajuan Sun
Multiple invariants conserving Runge-Kutta type methods for Hamiltonian problems. Numer. Algorithms 65 (3) (2014)
Luigi Brugnano, Gianluca Frasca Caccia, Felice Iavernaro
Efficient implementation of Gauss collocation and Hamiltonian boundary value methods. Numer. Algorithms 65 (3) (2014)
Pierluigi Amodio, Luigi Brugnano
Recent advances in bibliometric indexes and the PaperRank problem. J. Comput. Appl. Math. 267 (2014)
Luigi Brugnano, Felice Iavernaro, Donato Trigiante
A simple framework for the derivation and analysis of effective one-step methods for ODEs. Appl. Math. Comput. 218 (17) (2012)
Luigi Brugnano, Manuel Calvo, Juan I. Montijano, Luis Rández
Energy-preserving methods for Poisson systems. J. Comput. Appl. Math. 236 (16) (2012)
Luigi Brugnano, Felice Iavernaro, Donato Trigiante
Energy- and Quadratic Invariants-Preserving Integrators Based upon Gauss Collocation Formulae. SIAM J. Numer. Anal. 50 (6) (2012)
Luigi Brugnano, Francesca Mazzia
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. 236 (16) (2012)
Luigi Brugnano, Felice Iavernaro
Line integral methods which preserve all invariants of conservative problems. J. Comput. Appl. Math. 236 (16) (2012)
Pierluigi Amodio, Luigi Brugnano
Recent advances in bibliometric indexes and the PaperRank problem CoRR (2012)
Luigi Brugnano, Felice Iavernaro, Donato Trigiante
A two-step, fourth-order method with energy preserving properties. Comput. Phys. Commun. 183 (9) (2012)
Luigi Brugnano, Felice Iavernaro, Donato Trigiante
The lack of continuity and the role of infinite and infinitesimal in numerical methods for ODEs: The case of symplecticity. Appl. Math. Comput. 218 (16) (2012)
Luigi Brugnano, Felice Iavernaro, Donato Trigiante
A note on the efficient implementation of Hamiltonian BVMs. J. Comput. Appl. Math. 236 (3) (2011)
Pierluigi Amodio, Luigi Brugnano
Special Issue Devoted to Professor Ian Gladwell. Scalable Comput. Pract. Exp. 10 (4) (2009)
Pierluigi Amodio, Luigi Brugnano
Parallel Factorizations in Numerical Analysis. Scalable Comput. Pract. Exp. 10 (4) (2009)
Luigi Brugnano, Vincenzo Casulli
Iterative Solution of Piecewise Linear Systems and Applications to Flows in Porous Media. SIAM J. Sci. Comput. 31 (3) (2009)
Luigi Brugnano, Vincenzo Casulli
Iterative Solution of Piecewise Linear Systems. SIAM J. Sci. Comput. 30 (1) (2008)
Luigi Brugnano, Cecilia Magherini
Some linear algebra issues concerning the implementation of blended implicit methods. Numer. Linear Algebra Appl. 12 (2-3) (2005)
Luigi Brugnano, Francesca DiPatti, Giovanni Longo
An "Incremental" mathematical model for Immune Thrombocytopenic Purpura (ITP). Math. Comput. Model. 42 (11-12) (2005)
Pierluigi Amodio, Luigi Brugnano
Parallel ODE solvers based on block BVMs. Adv. Comput. Math. 7 (1-2) (1997)
Luigi Brugnano
Boundary Value Methods for the Numerical Approximation of Ordinary Differential Equations. WNAA (1996)
Pierluigi Amodio, Luigi Brugnano
The Parallel QR Factorization Algorithm for Tridiagonal Linear Systems. Parallel Comput. 21 (7) (1995)
Luigi Brugnano
Two-level twisted preconditionings for parallel computers. Concurr. Pract. Exp. 4 (2) (1992)
Luigi Brugnano
A parallel solver for tridiagonal linear systems for distributed memory parallel computers. Parallel Comput. 17 (9) (1991)
Pierluigi Amodio, Luigi Brugnano
A parallel version of some block preconditionings. IMPACT Comput. Sci. Eng. 3 (2) (1991)
Luigi Brugnano, M. Marrone
Vectorization of some block preconditioned conjugate gradient methods. Parallel Comput. 14 (2) (1990)