Felice Iavernaro

According to our database, Felice Iavernaro authored at least 54 papers between 1997 and 2025.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of four.

2025

A shooting-Newton procedure for solving fractional terminal value problems.

Luigi Brugnano, Gianmarco Gurioli, Felice Iavernaro

Appl. Math. Comput., 2025

2024

An entropy-based approach for a robust least squares spline approximation.

Luigi Brugnano, Domenico Giordano, Felice Iavernaro, Giorgia Rubino

J. Comput. Appl. Math., June, 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., May, 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

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

Luigi Brugnano, Gianmarco Gurioli, Felice Iavernaro

CoRR, 2024

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

Luigi Brugnano, Gianmarco Gurioli, Felice Iavernaro

CoRR, 2024

2023

(Spectral) Chebyshev collocation methods for solving differential equations.

Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro

Numer. Algorithms, August, 2023

Human Understanding Capabilities of Symbiotic AI systems in FAIR (Future Artificial Intelligence Research).

Pierluigi Amodio, Lucia Siciliani, Linda Antonella Antonucci, Cristiano Tamborrino, Pierpaolo Basile, Paolo Taurisano, Marco de Gemmis, Felice Iavernaro, Pasquale Lops, Francesca Mazzia, Cataldo Musto, Marco Polignano, Giovanni Semeraro

Proceedings of the Italia Intelligenza Artificiale, 2023

2022

A minimum-time obstacle-avoidance path planning algorithm for unmanned aerial vehicles.

Arturo De Marinis, Felice Iavernaro, Francesca Mazzia

Numer. Algorithms, 2022

Arbitrarily high-order energy-conserving methods for Poisson problems.

Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro

Numer. Algorithms, 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 Hamiltonian problems with quadratic holonomic constraints.

Pierluigi Amodio, Luigi Brugnano, Gianluca Frasca Caccia, Felice Iavernaro

CoRR, 2022

Continuous-Stage Runge-Kutta Approximation to Differential Problems.

Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro

Axioms, 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

A new framework for polynomial approximation to differential equations.

Luigi Brugnano, Gianluca Frasca Caccia, Felice Iavernaro, Vincenzo Vespri

Adv. Comput. Math., 2022

2021

Computation of higher order Lie derivatives on the Infinity Computer.

Felice Iavernaro, Francesca Mazzia, Marat S. Mukhametzhanov, Yaroslav D. Sergeyev

J. Comput. Appl. Math., 2021

Arbitrarily high-order methods for Poisson problems.

Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro

CoRR, 2021

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

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

Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro

Numer. Algorithms, 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

Maximal-entropy driven determination of weights in least-square approximation.

Domenico Giordano, Felice Iavernaro

CoRR, 2020

2019

Spectrally accurate space-time solution of Hamiltonian PDEs.

Luigi Brugnano, Felice Iavernaro, Juan I. Montijano, Luis Rández

Numer. Algorithms, 2019

Mathematical aspects relative to the fluid statics of a self-gravitating perfect-gas isothermal sphere.

Pierluigi Amodio, Domenico Giordano, Felice Iavernaro, Arcangelo Labianca, Monica Lazzo, Francesca Mazzia, Lorenzo Pisani

CoRR, 2019

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

Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro

CoRR, 2019

Advanced Numerical Methods in Applied Sciences.

Luigi Brugnano, Felice Iavernaro

Axioms, 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

A Dynamic Precision Floating-Point Arithmetic Based on the Infinity Computer Framework.

Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro, Francesca Mazzia

Proceedings of the Numerical Computations: Theory and Algorithms, 2019

2018

Analysis of Energy and QUadratic Invariant Preserving (EQUIP) methods.

Luigi Brugnano, Gianmarco Gurioli, Felice Iavernaro

J. Comput. Appl. Math., 2018

Line Integral Solution of Differential Problems.

Luigi Brugnano, Felice Iavernaro

Axioms, 2018

Energy-conserving methods for the nonlinear Schrödinger equation.

Luigi Barletti, Luigi Brugnano, Gianluca Frasca Caccia, Felice Iavernaro

Appl. Math. Comput., 2018

2017

A generalized Taylor method of order three for the solution of initial value problems in standard and infinity floating-point arithmetic.

Pierluigi Amodio, Felice Iavernaro, Francesca Mazzia, Marat S. Mukhametzhanov, Yaroslav D. Sergeyev

Math. Comput. Simul., 2017

2016

Numerical Methods for Solving Initial Value Problems on the Infinity Computer.

Yaroslav D. Sergeyev, Marat S. Mukhametzhanov, Francesca Mazzia, Felice Iavernaro, Pierluigi Amodio

Int. J. Unconv. Comput., 2016

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

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

Energy conservation issues in the numerical solution of the semilinear wave equation.

Luigi Brugnano, Gianluca Frasca Caccia, Felice Iavernaro

Appl. Math. Comput., 2015

Energy-conserving methods for Hamiltonian boundary value problems and applications in astrodynamics.

Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro

Adv. Comput. Math., 2015

2014

Efficient implementation of Gauss collocation and Hamiltonian boundary value methods.

Luigi Brugnano, Gianluca Frasca Caccia, Felice Iavernaro

Numer. Algorithms, 2014

2012

Energy- and Quadratic Invariants-Preserving Integrators Based upon Gauss Collocation Formulae.

Luigi Brugnano, Felice Iavernaro, Donato Trigiante

SIAM J. Numer. Anal., 2012

Line integral methods which preserve all invariants of conservative problems.

Luigi Brugnano, Felice Iavernaro

J. Comput. Appl. Math., 2012

A two-step, fourth-order method with energy preserving properties.

Luigi Brugnano, Felice Iavernaro, Donato Trigiante

Comput. Phys. Commun., 2012

Continued fractions as dynamical systems.

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

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

2011

A note on the efficient implementation of Hamiltonian BVMs.

Luigi Brugnano, Felice Iavernaro, Donato Trigiante

J. Comput. Appl. Math., 2011

2006

State Dependent Symplecticity of Symmetric Methods.

Felice Iavernaro, Brigida Pace

Proceedings of the Computational Science, 2006

2005

Symmetric schemes and Hamiltonian perturbations of linear Hamiltonian problems.

Pierluigi Amodio, Felice Iavernaro, Donato Trigiante

Numer. Linear Algebra Appl., 2005

Conservative perturbations of positive definite Hamiltonian matrices.

Pierluigi Amodio, Felice Iavernaro, Donato Trigiante

Numer. Linear Algebra Appl., 2005

2002

Eigenvalues and Quasi-Eigenvalues of Banded Toeplitz Matrices: Some Properties and Applications.

Felice Iavernaro, Francesca Mazzia, Donato Trigiante

Numer. Algorithms, 2002

Generalization of Backward Differentiation Formulas for Parallel Computers.

Felice Iavernaro, Francesca Mazzia

Numer. Algorithms, 2002

Conservation Properties of Symmetric BVMs Applied to Linear Hamiltonian Problems.

Pierluigi Amodio, Felice Iavernaro, Donato Trigiante

Proceedings of the Computational Science - ICCS 2002, 2002

2000

Solvability of Runge-Kutta and Block-BVMs Systems Applied to Scalar ODEs.

Giovanni Di Lena, Felice Iavernaro

Proceedings of the Numerical Analysis and Its Applications, 2000

1999

Block-Boundary Value Methods for the Solution of Ordinary Differential Equations.

Felice Iavernaro, Francesca Mazzia

SIAM J. Sci. Comput., 1999

On the Extension of the Code GAM for Parallel Computing.

Felice Iavernaro, Francesca Mazzia

Proceedings of the Euro-Par '99 Parallel Processing, 5th International Euro-Par Conference, Toulouse, France, August 31, 1999

1997

Convergence and Stability of Multistep Methods Solving Nonlinear Initial Value Problems.

Felice Iavernaro, Francesca Mazzia

SIAM J. Sci. Comput., 1997