Vectorization of some block preconditioned conjugate gradient methods. - Luigi Brugnano; M. Marrone (Parallel Comput., 1990)

A parallel version of some block preconditionings. - Pierluigi Amodio; Luigi Brugnano (IMPACT Comput. Sci. Eng., 1991)

A parallel solver for tridiagonal linear systems for distributed memory parallel computers. - Luigi Brugnano (Parallel Comput., 1991)

Two-level twisted preconditionings for parallel computers. - Luigi Brugnano (Concurr. Pract. Exp., 1992)

The Parallel QR Factorization Algorithm for Tridiagonal Linear Systems. - Pierluigi Amodio; Luigi Brugnano (Parallel Comput., 1995)

Boundary Value Methods for the Numerical Approximation of Ordinary Differential Equations. - Luigi Brugnano (WNAA, 1996)

Parallel ODE solvers based on block BVMs. - Pierluigi Amodio; Luigi Brugnano (Adv. Comput. Math., 1997)

An "Incremental" mathematical model for Immune Thrombocytopenic Purpura (ITP). - Luigi Brugnano; Francesca DiPatti; Giovanni Longo (Math. Comput. Model., 2005)

Some linear algebra issues concerning the implementation of blended implicit methods. - Luigi Brugnano; Cecilia Magherini (Numer. Linear Algebra Appl., 2005)

Iterative Solution of Piecewise Linear Systems. - Luigi Brugnano; Vincenzo Casulli (SIAM J. Sci. Comput., 2008)

Special Issue Devoted to Professor Ian Gladwell. - Pierluigi Amodio; Luigi Brugnano (Scalable Comput. Pract. Exp., 2009)

Parallel Factorizations in Numerical Analysis. - Pierluigi Amodio; Luigi Brugnano (Scalable Comput. Pract. Exp., 2009)

Iterative Solution of Piecewise Linear Systems and Applications to Flows in Porous Media. - Luigi Brugnano; Vincenzo Casulli (SIAM J. Sci. Comput., 2009)

A note on the efficient implementation of Hamiltonian BVMs. - Luigi Brugnano; Felice Iavernaro; Donato Trigiante (J. Comput. Appl. Math., 2011)

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 (Appl. Math. Comput., 2012)

A simple framework for the derivation and analysis of effective one-step methods for ODEs. - Luigi Brugnano; Felice Iavernaro; Donato Trigiante (Appl. Math. Comput., 2012)

A two-step, fourth-order method with energy preserving properties. - Luigi Brugnano; Felice Iavernaro; Donato Trigiante (Comput. Phys. Commun., 2012)

Energy-preserving methods for Poisson systems. - Luigi Brugnano; Manuel Calvo; Juan I. Montijano; Luis Rández (J. Comput. Appl. Math., 2012)

Line integral methods which preserve all invariants of conservative problems. - Luigi Brugnano; Felice Iavernaro (J. Comput. Appl. Math., 2012)

40 years of numerical analysis: "Is the discrete world an approximation of the continuous one or is it the other way around?". - Luigi Brugnano; Francesca Mazzia (J. Comput. Appl. Math., 2012)

Energy- and Quadratic Invariants-Preserving Integrators Based upon Gauss Collocation Formulae. - Luigi Brugnano; Felice Iavernaro; Donato Trigiante (SIAM J. Numer. Anal., 2012)

Recent advances in bibliometric indexes and the PaperRank problem. - Pierluigi Amodio; Luigi Brugnano (J. Comput. Appl. Math., 2014)

Efficient implementation of Gauss collocation and Hamiltonian boundary value methods. - Luigi Brugnano; Gianluca Frasca Caccia; Felice Iavernaro (Numer. Algorithms, 2014)

Multiple invariants conserving Runge-Kutta type methods for Hamiltonian problems. - Luigi Brugnano; Yajuan Sun (Numer. Algorithms, 2014)

Energy-conserving methods for Hamiltonian boundary value problems and applications in astrodynamics. - Pierluigi Amodio; Luigi Brugnano; Felice Iavernaro (Adv. Comput. Math., 2015)

Energy conservation issues in the numerical solution of the semilinear wave equation. - Luigi Brugnano; Gianluca Frasca Caccia; Felice Iavernaro (Appl. Math. Comput., 2015)

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 (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. - Luigi Brugnano; Felice Iavernaro; Donato Trigiante (Commun. Nonlinear Sci. Numer. Simul., 2015)

Preface to the special issue NUMTA 2013. - Luigi Brugnano; Yaroslav D. Sergeyev; Anatoly A. Zhigljavsky (Commun. Nonlinear Sci. Numer. Simul., 2015)

Energy-conserving methods for the nonlinear Schrödinger equation. - Luigi Barletti; Luigi Brugnano; Gianluca Frasca Caccia; Felice Iavernaro (Appl. Math. Comput., 2018)

Foreword to the special issue ''Recent Trends in Numerical Computations: Theory and Algorithms''. - Luigi Brugnano; Dmitri E. Kvasov; Yaroslav D. Sergeyev (Appl. Math. Comput., 2018)

Line Integral Solution of Differential Problems. - Luigi Brugnano; Felice Iavernaro (Axioms, 2018)

A class of energy-conserving Hamiltonian boundary value methods for nonlinear Schrödinger equation with wave operator. - Luigi Brugnano; Chengjian Zhang; Dongfang Li (Commun. Nonlinear Sci. Numer. Simul., 2018)

Analysis of Energy and QUadratic Invariant Preserving (EQUIP) methods. - Luigi Brugnano; Gianmarco Gurioli; Felice Iavernaro (J. Comput. Appl. Math., 2018)

A Dynamic Precision Floating-Point Arithmetic Based on the Infinity Computer Framework. - Pierluigi Amodio; Luigi Brugnano; Felice Iavernaro; Francesca Mazzia (NUMTA (2), 2019)

A note on the continuous-stage Runge-Kutta(-Nyström) formulation of Hamiltonian Boundary Value Methods (HBVMs). - Pierluigi Amodio; Luigi Brugnano; Felice Iavernaro (Appl. Math. Comput., 2019)

Advanced Numerical Methods in Applied Sciences. - Luigi Brugnano; Felice Iavernaro (Axioms, 2019)

A note on the continuous-stage Runge-Kutta formulation of Hamiltonian Boundary Value Methods (HBVMs). - Pierluigi Amodio; Luigi Brugnano; Felice Iavernaro (CoRR, 2019)

Energy-conserving Hamiltonian Boundary Value Methods for the numerical solution of the Korteweg-de Vries equation. - Luigi Brugnano; Gianmarco Gurioli; Yajuan Sun (J. Comput. Appl. Math., 2019)

High-order energy-conserving Line Integral Methods for charged particle dynamics. - Luigi Brugnano; Juan I. Montijano; Luis Rández (J. Comput. Phys., 2019)

Spectrally accurate space-time solution of Hamiltonian PDEs. - Luigi Brugnano; Felice Iavernaro; Juan I. Montijano; Luis Rández (Numer. Algorithms, 2019)

Preface. - Luigi Brugnano; Zdzislaw Jackiewicz; Helmut Podhaisky; Yajuan Sun; Caren Tischendorf (Numer. Algorithms, 2019)

On the effectiveness of spectral methods for the numerical solution of multi-frequency highly oscillatory Hamiltonian problems. - Luigi Brugnano; Juan I. Montijano; Luis Rández (Numer. Algorithms, 2019)

An implicit difference scheme with the KPS preconditioner for two-dimensional time-space fractional convection-diffusion equations. - Yongtao Zhou; Chengjian Zhang; Luigi Brugnano (Comput. Math. Appl., 2020)

Spectrally accurate space-time solution of Manakov systems. - Luigi Barletti; Luigi Brugnano; Yifa Tang; Beibei Zhu (J. Comput. Appl. Math., 2020)

Arbitrarily high-order energy-preserving methods for simulating the gyrocenter dynamics of charged particles. - Luigi Brugnano; Felice Iavernaro; Ruili Zhang (J. Comput. Appl. Math., 2020)

Analysis of spectral Hamiltonian boundary value methods (SHBVMs) for the numerical solution of ODE problems. - Pierluigi Amodio; Luigi Brugnano; Felice Iavernaro (Numer. Algorithms, 2020)

Preconditioned quasi-compact boundary value methods for space-fractional diffusion equations. - Yongtao Zhou; Chengjian Zhang; Luigi Brugnano (Numer. Algorithms, 2020)

On the use of the Infinity Computer architecture to set up a dynamic precision floating-point arithmetic. - Pierluigi Amodio; Luigi Brugnano; Felice Iavernaro; Francesca Mazzia (Soft Comput., 2020)

Preface to the virtual special issue recent developments in applied mathematics and computation. - Luigi Brugnano; Dmitri E. Kvasov; Yaroslav D. Sergeyev (Appl. Math. Comput., 2021)

Implementation of the PaperRank and AuthorRank indices in the Scopus database. - Pierluigi Amodio; Luigi Brugnano; Filippo Scarselli (CoRR, 2021)

Arbitrarily high-order methods for Poisson problems. - Pierluigi Amodio; Luigi Brugnano; Felice Iavernaro (CoRR, 2021)

Metodi Iterativi per Sistemi Lineari. - Luigi Brugnano; Cecilia Magherini (CoRR, 2021)

Foreword to the virtual special issue dedicated to the 3rd International Conference NUMTA 2019 "Numerical Computations: Theory and Algorithms". - Luigi Brugnano; Yaroslav D. Sergeyev; Anatoly Zhigljavsky (J. Comput. Appl. Math., 2021)

Implementation of the PaperRank and AuthorRank indices in the Scopus database. - Pierluigi Amodio; Luigi Brugnano; Filippo Scarselli (J. Informetrics, 2021)

A new framework for polynomial approximation to differential equations. - Luigi Brugnano; Gianluca Frasca Caccia; Felice Iavernaro; Vincenzo Vespri (Adv. Comput. Math., 2022)

A note on a stable algorithm for computing the fractional integrals of orthogonal polynomials. - Pierluigi Amodio; Luigi Brugnano; Felice Iavernaro (Appl. Math. Lett., 2022)

Continuous-Stage Runge-Kutta Approximation to Differential Problems. - Pierluigi Amodio; Luigi Brugnano; Felice Iavernaro (Axioms, 2022)

Arbitrarily high-order energy-conserving methods for Hamiltonian problems with quadratic holonomic constraints. - Pierluigi Amodio; Luigi Brugnano; Gianluca Frasca Caccia; Felice Iavernaro (CoRR, 2022)

Arbitrary high-order methods for one-sided direct event location in discontinuous differential problems with nonlinear event function. - Pierluigi Amodio; Luigi Brugnano; Felice Iavernaro (CoRR, 2022)

Arbitrarily high-order energy-conserving methods for Poisson problems. - Pierluigi Amodio; Luigi Brugnano; Felice Iavernaro (Numer. Algorithms, 2022)

(Spectral) Chebyshev collocation methods for solving differential equations. - Pierluigi Amodio; Luigi Brugnano; Felice Iavernaro (Numer. Algorithms, 2023)

Simulating combined monoaminergic depletions in a PD animal model through a bio-constrained differential equations system. - Samuele Carli; Luigi Brugnano; Daniele Caligiore (Frontiers Comput. Neurosci., 2024)

Recent advances in the numerical solution of the Nonlinear Schrödinger Equation. - Luigi Barletti; Luigi Brugnano; Gianmarco Gurioli; Felice Iavernaro (J. Comput. Appl. Math., 2024)

A Spectrally Accurate Step-by-Step Method for the Numerical Solution of Fractional Differential Equations. - Luigi Brugnano; Kevin Burrage; Pamela M. Burrage; Felice Iavernaro (J. Sci. Comput., 2024)

An entropy-based approach for a robust least squares spline approximation. - Luigi Brugnano; Domenico Giordano; Felice Iavernaro; Giorgia Rubino (J. Comput. Appl. Math., 2024)

A shooting-Newton procedure for solving fractional terminal value problems. - Luigi Brugnano; Gianmarco Gurioli; Felice Iavernaro (Appl. Math. Comput., 2025)

Solving FDE-IVPs by using Fractional HBVMs: Some experiments with the fhbvm code. - Luigi Brugnano; Gianmarco Gurioli; Felice Iavernaro (J. Comput. Methods Sci. Eng., 2025)

On the use of the principle of maximum entropy in bivariate splines least-squares approximation. - Pierluigi Amodio; Luigi Brugnano; Felice Iavernaro (CoRR, 2025)

Analysis and implementation of collocation methods for fractional differential equations. - Luigi Brugnano; Gianmarco Gurioli; Felice Iavernaro; Mikk Vikerpuur (CoRR, 2025)

Numerical solution of FDE-IVPs by using fractional HBVMs: the fhbvm code. - Luigi Brugnano; Gianmarco Gurioli; Felice Iavernaro (Numer. Algorithms, 2025)

On the use of the principle of maximum entropy to improve the robustness of bivariate spline least-squares approximation. - Pierluigi Amodio; Luigi Brugnano; Felice Iavernaro (Math. Comput. Simul., 2026)