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2020 – today
- 2025
[j40]Luigi Brugnano, Gianmarco Gurioli, Felice Iavernaro:
A shooting-Newton procedure for solving fractional terminal value problems. Appl. Math. Comput. 489: 129164 (2025)- 2024
- [j39]Luigi Brugnano
, Domenico Giordano, Felice Iavernaro, Giorgia Rubino:
An entropy-based approach for a robust least squares spline approximation. J. Comput. Appl. Math. 443: 115773 (2024) - [j38]Luigi Barletti, Luigi Brugnano, Gianmarco Gurioli, Felice Iavernaro:
Recent advances in the numerical solution of the Nonlinear Schrödinger Equation. J. Comput. Appl. Math. 445: 115826 (2024) - [j37]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): 48 (2024) - [i17]Luigi Brugnano, Gianmarco Gurioli, Felice Iavernaro:
Numerical solution of FDE-IVPs by using Fractional HBVMs: the fhbvm code. CoRR abs/2403.04916 (2024) - [i16]Luigi Brugnano, Gianmarco Gurioli, Felice Iavernaro:
Solving FDE-IVPs by using Fractional HBVMs: some experiments with the fhbvm code. CoRR abs/2407.11460 (2024) - 2023
- [j36]Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro:
(Spectral) Chebyshev collocation methods for solving differential equations. Numer. Algorithms 93(4): 1613-1638 (2023) - [c6]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: 341-346 - [i15]Luigi Brugnano, Domenico Giordano, Felice Iavernaro, Giorgia Rubino:
An entropy-based approach for a robust least squares spline approximation. CoRR abs/2309.08792 (2023) - [i14]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 abs/2310.10526 (2023) - [i13]Luigi Brugnano, Gianmarco Gurioli, Felice Iavernaro:
A shooting-Newton procedure for solving fractional terminal value problems. CoRR abs/2312.08516 (2023) - 2022
- [j35]Luigi Brugnano, Gianluca Frasca Caccia, Felice Iavernaro, Vincenzo Vespri:
A new framework for polynomial approximation to differential equations. Adv. Comput. Math. 48(6): 76 (2022) - [j34]Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro:
A note on a stable algorithm for computing the fractional integrals of orthogonal polynomials. Appl. Math. Lett. 134: 108338 (2022) - [j33]Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro:
Continuous-Stage Runge-Kutta Approximation to Differential Problems. Axioms 11(5): 192 (2022) - [j32]Arturo De Marinis, Felice Iavernaro, Francesca Mazzia:
A minimum-time obstacle-avoidance path planning algorithm for unmanned aerial vehicles. Numer. Algorithms 89(4): 1639-1661 (2022) - [j31]Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro:
Arbitrarily high-order energy-conserving methods for Poisson problems. Numer. Algorithms 91(2): 861-894 (2022) - [i12]Pierluigi Amodio, Luigi Brugnano, Gianluca Frasca Caccia, Felice Iavernaro:
Arbitrarily high-order energy-conserving methods for Hamiltonian problems with quadratic holonomic constraints. CoRR abs/2203.03275 (2022) - [i11]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 abs/2203.06402 (2022) - [i10]Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro:
Continuous-Stage Runge-Kutta approximation to Differential Problems. CoRR abs/2203.11189 (2022) - [i9]Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro:
A note on a stable algorithm for computing the fractional integrals of orthogonal polynomials. CoRR abs/2205.11182 (2022) - [i8]Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro:
(Spectral) Chebyshev collocation methods for solving differential equations. CoRR abs/2205.15266 (2022) - 2021
- [j30]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: 113135 (2021) - [i7]Luigi Brugnano, Gianluca Frasca Caccia, Felice Iavernaro, Vincenzo Vespri:
A new framework for polynomial approximation to differential equations. CoRR abs/2106.01926 (2021) - [i6]Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro:
Arbitrarily high-order methods for Poisson problems. CoRR abs/2110.14292 (2021) - 2020
- [j29]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: 112994 (2020) - [j28]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): 1489-1508 (2020) - [j27]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): 17589-17600 (2020) - [i5]Luigi Brugnano, Felice Iavernaro, Ruili Zhang:
Arbitrarily high-order energy-preserving methods for simulating the gyrocenter dynamics of charged particles. CoRR abs/2001.11264 (2020) - [i4]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 abs/2002.10220 (2020) - [i3]Domenico Giordano, Felice Iavernaro:
Maximal-entropy driven determination of weights in least-square approximation. CoRR abs/2007.09429 (2020)
2010 – 2019
- 2019
- [j26]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) - [j25]Luigi Brugnano, Felice Iavernaro:
Advanced Numerical Methods in Applied Sciences. Axioms 8(1): 16 (2019) - [j24]Luigi Brugnano, Felice Iavernaro, Juan I. Montijano, Luis Rández:
Spectrally accurate space-time solution of Hamiltonian PDEs. Numer. Algorithms 81(4): 1183-1202 (2019) - [c5]Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro, Francesca Mazzia:
A Dynamic Precision Floating-Point Arithmetic Based on the Infinity Computer Framework. NUMTA (2) 2019: 289-297 - [i2]Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro:
A note on the continuous-stage Runge-Kutta formulation of Hamiltonian Boundary Value Methods (HBVMs). CoRR abs/1906.04071 (2019) - [i1]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 abs/1912.02625 (2019) - 2018
- [j23]Luigi Barletti, Luigi Brugnano, Gianluca Frasca Caccia, Felice Iavernaro:
Energy-conserving methods for the nonlinear Schrödinger equation. Appl. Math. Comput. 318: 3-18 (2018) - [j22]Luigi Brugnano, Felice Iavernaro:
Line Integral Solution of Differential Problems. Axioms 7(2): 36 (2018) - [j21]Luigi Brugnano, Gianmarco Gurioli, Felice Iavernaro:
Analysis of Energy and QUadratic Invariant Preserving (EQUIP) methods. J. Comput. Appl. Math. 335: 51-73 (2018) - 2017
- [j20]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: 24-39 (2017) - 2016
- [j19]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): 3-23 (2016) - 2015
- [j18]Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro:
Energy-conserving methods for Hamiltonian boundary value problems and applications in astrodynamics. Adv. Comput. Math. 41(4): 881-905 (2015) - [j17]Luigi Brugnano, Gianluca Frasca Caccia, Felice Iavernaro:
Energy conservation issues in the numerical solution of the semilinear wave equation. Appl. Math. Comput. 270: 842-870 (2015) - [j16]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): 650-667 (2015) - [j15]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): 34-51 (2015) - 2014
- [j14]Luigi Brugnano, Gianluca Frasca Caccia, Felice Iavernaro:
Efficient implementation of Gauss collocation and Hamiltonian boundary value methods. Numer. Algorithms 65(3): 633-650 (2014) - 2012
- [j13]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): 8056-8063 (2012) - [j12]Felice Iavernaro, Donato Trigiante:
Continued fractions as dynamical systems. Appl. Math. Comput. 218(16): 8203-8216 (2012) - [j11]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): 8475-8485 (2012) - [j10]Luigi Brugnano, Felice Iavernaro, Donato Trigiante:
A two-step, fourth-order method with energy preserving properties. Comput. Phys. Commun. 183(9): 1860-1868 (2012) - [j9]Luigi Brugnano, Felice Iavernaro:
Line integral methods which preserve all invariants of conservative problems. J. Comput. Appl. Math. 236(16): 3905-3919 (2012) - [j8]Luigi Brugnano, Felice Iavernaro, Donato Trigiante:
Energy- and Quadratic Invariants-Preserving Integrators Based upon Gauss Collocation Formulae. SIAM J. Numer. Anal. 50(6): 2897-2916 (2012) - 2011
- [j7]Luigi Brugnano, Felice Iavernaro, Donato Trigiante:
A note on the efficient implementation of Hamiltonian BVMs. J. Comput. Appl. Math. 236(3): 375-383 (2011)
2000 – 2009
- 2006
- [c4]Felice Iavernaro, Brigida Pace:
State Dependent Symplecticity of Symmetric Methods. International Conference on Computational Science (4) 2006: 724-731 - 2005
- [j6]Pierluigi Amodio, Felice Iavernaro, Donato Trigiante:
Conservative perturbations of positive definite Hamiltonian matrices. Numer. Linear Algebra Appl. 12(2-3): 117-125 (2005) - [j5]Pierluigi Amodio, Felice Iavernaro, Donato Trigiante:
Symmetric schemes and Hamiltonian perturbations of linear Hamiltonian problems. Numer. Linear Algebra Appl. 12(2-3): 171-179 (2005) - 2002
- [j4]Felice Iavernaro, Francesca Mazzia:
Generalization of Backward Differentiation Formulas for Parallel Computers. Numer. Algorithms 31(1-4): 139-155 (2002) - [j3]Felice Iavernaro, Francesca Mazzia, Donato Trigiante:
Eigenvalues and Quasi-Eigenvalues of Banded Toeplitz Matrices: Some Properties and Applications. Numer. Algorithms 31(1-4): 157-170 (2002) - [c3]Pierluigi Amodio, Felice Iavernaro, Donato Trigiante:
Conservation Properties of Symmetric BVMs Applied to Linear Hamiltonian Problems. International Conference on Computational Science (3) 2002: 429-438 - 2000
- [c2]Giovanni Di Lena, Felice Iavernaro:
Solvability of Runge-Kutta and Block-BVMs Systems Applied to Scalar ODEs. NAA 2000: 513-520
1990 – 1999
- 1999
- [j2]Felice Iavernaro, Francesca Mazzia:
Block-Boundary Value Methods for the Solution of Ordinary Differential Equations. SIAM J. Sci. Comput. 21(1): 323-339 (1999) - [c1]Felice Iavernaro, Francesca Mazzia:
On the Extension of the Code GAM for Parallel Computing. Euro-Par 1999: 1136-1143 - 1997
- [j1]Felice Iavernaro, Francesca Mazzia:
Convergence and Stability of Multistep Methods Solving Nonlinear Initial Value Problems. SIAM J. Sci. Comput. 18(1): 270-285 (1997)
Coauthor Index
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