Felice Iavernaro

Publication Activity (10 Years)

Years Active: 1997-2024
Publications (10 Years): 40

Top Topics

Numerical Solution

Boundary Value Problem

Applied Sciences

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)
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
Human Understanding Capabilities of Symbiotic AI systems in FAIR (Future Artificial Intelligence Research). Ital-IA (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)
Arturo De Marinis, Felice Iavernaro, Francesca Mazzia
A minimum-time obstacle-avoidance path planning algorithm for unmanned aerial vehicles. Numer. Algorithms 89 (4) (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, 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)
Felice Iavernaro, Francesca Mazzia, Marat S. Mukhametzhanov, Yaroslav D. Sergeyev
Computation of higher order Lie derivatives on the Infinity Computer. J. Comput. Appl. Math. 383 (2021)
Domenico Giordano, Felice Iavernaro
Maximal-entropy driven determination of weights in least-square approximation. CoRR (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 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)
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, 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)
Pierluigi Amodio, Domenico Giordano, Felice Iavernaro, Arcangelo Labianca, Monica Lazzo, Francesca Mazzia, Lorenzo Pisani
Mathematical aspects relative to the fluid statics of a self-gravitating perfect-gas isothermal sphere. CoRR (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)
Pierluigi Amodio, Felice Iavernaro, Francesca Mazzia, Marat S. Mukhametzhanov, Yaroslav D. Sergeyev
A generalized Taylor method of order three for the solution of initial value problems in standard and infinity floating-point arithmetic. Math. Comput. Simul. 141 (2017)
Yaroslav D. Sergeyev, Marat S. Mukhametzhanov, Francesca Mazzia, Felice Iavernaro, Pierluigi Amodio
Numerical Methods for Solving Initial Value Problems on the Infinity Computer. Int. J. Unconv. Comput. 12 (1) (2016)
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, Gianluca Frasca Caccia, Felice Iavernaro
Efficient implementation of Gauss collocation and Hamiltonian boundary value methods. Numer. Algorithms 65 (3) (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, Felice Iavernaro, Donato Trigiante
Energy- and Quadratic Invariants-Preserving Integrators Based upon Gauss Collocation Formulae. SIAM J. Numer. Anal. 50 (6) (2012)
Felice Iavernaro, Donato Trigiante
Continued fractions as dynamical systems. Appl. Math. Comput. 218 (16) (2012)
Luigi Brugnano, Felice Iavernaro
Line integral methods which preserve all invariants of conservative problems. J. Comput. Appl. Math. 236 (16) (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)
Felice Iavernaro, Brigida Pace
State Dependent Symplecticity of Symmetric Methods. International Conference on Computational Science (4) (2006)
Pierluigi Amodio, Felice Iavernaro, Donato Trigiante
Symmetric schemes and Hamiltonian perturbations of linear Hamiltonian problems. Numer. Linear Algebra Appl. 12 (2-3) (2005)
Pierluigi Amodio, Felice Iavernaro, Donato Trigiante
Conservative perturbations of positive definite Hamiltonian matrices. Numer. Linear Algebra Appl. 12 (2-3) (2005)
Felice Iavernaro, Francesca Mazzia
Generalization of Backward Differentiation Formulas for Parallel Computers. Numer. Algorithms 31 (1-4) (2002)
Pierluigi Amodio, Felice Iavernaro, Donato Trigiante
Conservation Properties of Symmetric BVMs Applied to Linear Hamiltonian Problems. International Conference on Computational Science (3) (2002)
Felice Iavernaro, Francesca Mazzia, Donato Trigiante
Eigenvalues and Quasi-Eigenvalues of Banded Toeplitz Matrices: Some Properties and Applications. Numer. Algorithms 31 (1-4) (2002)
Giovanni Di Lena, Felice Iavernaro
Solvability of Runge-Kutta and Block-BVMs Systems Applied to Scalar ODEs. NAA (2000)
Felice Iavernaro, Francesca Mazzia
On the Extension of the Code GAM for Parallel Computing. Euro-Par (1999)
Felice Iavernaro, Francesca Mazzia
Block-Boundary Value Methods for the Solution of Ordinary Differential Equations. SIAM J. Sci. Comput. 21 (1) (1999)
Felice Iavernaro, Francesca Mazzia
Convergence and Stability of Multistep Methods Solving Nonlinear Initial Value Problems. SIAM J. Sci. Comput. 18 (1) (1997)