## Anna Napoli

Department of Mathematics and Computer Science - University of Calabria

Via Pietro Bucci, cubo 30/A

87036 Rende (CS) - Italy

Phone: +39 0984 496488

Fax: +39 0984 496484

Email: anna.napoli@unical.it

## Research

- Approximation of continuous functions by classic operators
- Uniform approximations of integral functions
- Numerical solutions of ordinary differential equations with initial and boundary conditions
- Polynomial approximations of linear operators
- Numerical solutions of stochastic differential equations

## Publications

#### Peer-reviewed journal articles

2017 | A. NAPOLI, W. ABD-ELHAMEED | An Innovative Harmonic Numbers Operational Matrix Method for Solving Initial Value Problems, CALCOLO 54(1) (2017), 57-76, DOI: 10.1007/s10092-016-0176-1 | |

F. COSTABILE, A. NAPOLI | A class of Birkhoff-Lagrange collocation methods for high order boundary value problems, Appl. Numer. Math. 116 (2017) 129-140 | ||

A. NAPOLI, W. ABD-ELHAMEED | Numerical solution of eighth-order boundary value problems by using Legendre polynomials, Int. J. Comp. Meth. 14(7) (2017) 1750083 (19 pages), DOI: 10.1142/S0219876217500839 | ||

F. COSTABILE, M.I. GUALTIERI, A. NAPOLI | Relationships between Interpolation and Differential Equations. A Class of Collocation Methods, in Dynamical Systems - Analytical and Computational Techniques, InTech, ISBN 978-953-51-3015-4-2, DOI: 10.5772/66995 (2017) | ||

2016 | A. NAPOLI | Solutions of linear second order initial value problems by using Bernoulli polynomials, Appl. Numer. Math. 99 (2016) 109-120, DOI: 10.1016/j.apnum.2015.08.011 | |

F. COSTABILE, A. NAPOLI | A new spectral method for a class of linear boundary value problems, J. Comp. Appl. Math., 292 (2016) 329-341 DOI: 10.1016/j.cam.2015.07.015 | ||

2015 | F. COSTABILE, A. NAPOLI | A multipoint Birkhoff type boundary value problem, J. Numer. Math 23(1) (2015) | |

F. COSTABILE, A. NAPOLI | A method for high-order multipoint boundary value problems with Birkhoff-type conditions, Int. J. Comput. Math. (International Journal of Computer Mathematics), 92 (1) (2015) 192?200 | ||

F. COSTABILE, A. NAPOLI | Collocation for high order differential equations with Hermite boundary conditions, Appl. Numer. Math., 87 (2015) 157-167 | ||

2014 | F. COSTABILE, A. NAPOLI | Numerical solution of high order Bernoulli boundary value problems, J. Appl. Math., Vol. 2014 Article ID 276585, 9 pages (2014) | |

2012 | F. COSTABILE, A. NAPOLI | Collocation for high order differential equations with Lidstone boundary conditions, J. Appl. Math., vol. 2012, Article ID 120792, doi:10.1155/2012/120792 (2012) | |

A. NAPOLI | On a class of stochastic Runge Kutta methods, Int. J. Contemp. Math. Sciences 7 (36) (2012) 1757 ? 1769 | ||

2011 | F. COSTABILE, A. NAPOLI | Economical Runge-Kutta methods with strong order one for stochastic differential equations, Appl. Numer. Math. 61 (2011) 160?169 | |

F. COSTABILE, A. NAPOLI | A class of collocation methods for numerical integration of initial value problems, Comput. Math. Appl., 62 (8), pp. 3221-3235 (2011) | ||

F. COSTABILE, A. NAPOLI | A Mathematica package for the solution of IVPs, Int. J. Numer. Meth. Appl. 6(2) (2011) 123-136 | ||

A. NAPOLI | Numerical solution of high order differential equations with Bernoulli boundary conditions, Proceedings of the 2011 International Conference on Mathematical Methods in Science and Engineering, Benidorm, Spain, 26-30 June 2011, Vol.3, ISBN 978-84-614-6167-7 | ||

2010 | F. COSTABILE, A. NAPOLI | Special even polynomials and related interpolatory problems, Integral Transforms Spec. Funct. 21(3) (2010) 183-196 | |

A. NAPOLI | Economical Runge-Kutta methods with weak second order for stochastic differential equations, Int. J. Contemp. Math. Sciences 5(24) (2010) 1151?1160 | ||

F. COSTABILE, A. NAPOLI | New kernels of Sard type and applications, Rend. Circ. Mat. Palermo (2), Suppl. 82 (2010) 407-420 | ||

A. NAPOLI | La sezione aurea: un?occasione per l?interdisciplinarità, Didattica e didattiche disciplinari 9 (2010) 73-94 | ||

2009 | F. COSTABILE, A. NAPOLI | A special class of polynomials related to non classic general interpolatory problems, Integral Transforms Spec. Funct. 20(7) (2009) 539-550 | |

2008 | F. COSTABILE, A. NAPOLI | Economical Runge-Kutta methods for numerical solution of stochastic differential equations, BIT 48(3) (2008) 499-509 | |

F. COSTABILE, M.I. GUALTIERI, A. NAPOLI | Il concetto di integrale col supporto di MatCos, Didattica e didattiche disciplinari 6, (2008) 107-126 | ||

NAPOLI A. , GUALTIERI M. I. | Rodonee e... simili, Progetto Alice, Vol. IX (27) (2008) 523-538 | ||

2007 | F. COSTABILE, A. NAPOLI | A collocation method for global approximation of general second order BVPs, Computing Letters, 3 (1) (2007) 23-34 (DOI: 10.1163/157404007779994205) | |

F. COSTABILE, A. NAPOLI | Solving BVPs Using Two-point Taylor Formula by a symbolic software, J. Comp. Appl. Math., 210(1-2) (2007) 136-148 (DOI: 10.1016/j.cam.2006.10.081) | ||

M.I. GUALTIERI, A. NAPOLI | Un percorso didattico sull?integrazione numerica, Didattica delle Scienze e Informatica nella Scuola, 251, Ottobre 2007 | ||

2006 | F. COSTABILE, A. NAPOLI | A method for polynomial approximation of the solution of general second order BVPs, Far East J. Appl. Math., 25 (3) (2006) 289 ? 305 | |

2005 | F. COSTABILE, A. NAPOLI | A Mathematica package for the solution of Ordinary Differential Equations using Taylor Series method, In: Lecture Series on Computer and Computational Sciences, Vol. 4 (Advances in Computational Methods in Sciences and Engineering 2005), 4 A, (2005) 131-134 | |

2004 | F. COSTABILE, A. NAPOLI | Stability of Chebyshev collocation method, Comput. Math. Appl., 47(4-5) (2004) 659-666 | |

F. COSTABILE, A. NAPOLI | A method for global approximation of the solution of second order IVPs, Rend. Mat. Appl. VII. Ser., 24 (2004) | ||

2001 | F. COSTABILE, A. NAPOLI | A method for global approximation of the initial value problem, Numer. Algorithms, 27 (2) (2001) 119-130. | |

1999 | A. NAPOLI | A method for global approximation of the Cauchy differential problem by Chebyshev polynomials of first kind, Atti del XVI Congresso U.M.I., Napoli, September 1999 |

#### Conference Papers

2015 | Numerical solution of initial value problems by using Legendre polynomials, Workshop on Numerical Modeling in Evolutionary problems: perspectives and applications (NUMEP 2015), Fisciano (SA), October 26-27, 2015. |

A class of Lagrange-collocation methods for high order boundary value problems, New trends in Numerical Analysys: Theory, Methods, Algorithms and Applications (NETNA 2015), Falerna (CZ), June 18-21, 2015 | |

2011 | Numerical solution of high order differential equations with Bernoulli boundary conditions, International Conference on Mathematical Methods in Science and Engineering (CMMSE 2011), Benidorm, Spain, June 26-30, 2011 |

2009 | New kernels of Sard type and applications, FAAT – 6th International Conference on Functional Analysis and Approximation Theory, Acquafredda di Maratea (PZ), September 24-30, 2009 |

R. Caira, M.I. Gualtieri, R. Mazza, A. Napoli, R. Trunfio, Seeking the optimal schedule by simulation in logistic, Fifth International Winter Conference of the Italian Association of Operations Research, Cortina d'Ampezzo (BL) – Italy, January 26-30, 2009 | |

2006 | La sezione aurea, Cattedra “Matematica oggi”, Fondazione Guarasci, Cosenza, March 9, 2006 |

2005 | A Mathematica package for the solution of Ordinary Differential Equations using Taylor Series method, International Conference of Computational Methods in Sciences and Engineering 2005 (ICCMSE 2005), Corinto, Greece October 21-26, 2005 |

Solving BVPs Using Two-point Taylor formula by a symbolic software, International Congress: Numerical Analysis: the state of the art, Rende (CS), University of Calabria, May 19-21, 2005 | |

2002 | A method for global approximation of the solution of second order IVPs, National Congress: Analisi Numerica: stato dell’arte, Rende (CS), September 26-28, 2002 |

2001 | Galerkin type methods with Chebyshev nodes for IVPs, Workshop on Numerical Methods for evolutionary Problems, Peschici (FG), September 2001 |

1999 | Matematica e software, IX Settimana della cultura scientifica e tecnologica, Reggio Calabria, April 14, 1999 |

1998 | Multimedialità nella didattica, VIII settimana della cultura scientifica e tecnologica, Catanzaro, March 23, 1998 |

#### Books

2008 | R. CAIRA, M.I. GUALTIERI, A. NAPOLI | Restart con Maple, Teoria ed esercizi, Ed. Aracne, Roma, 2008 |

#### Other articles (Technical reports and non-peer reviewed publications)

2006 | F. COSTABILE, A. NAPOLI | Approximate solution of general second order BVPs, LAN (Unical) Pubblication n. 17 (2006) |

F. COSTABILE, A. NAPOLI | A Matlab code for general second order boundary value problems, LAN (Unical) Pubblication n. 16 (2006) | |

2005 | F. COSTABILE, A. NAPOLI | Corso propedeutico AA 2005-06 – Relazione finale, CIRD (Unical) Pubblication n. 47, (2005) |

2004 | F. COSTABILE, A. NAPOLI | Solving IVPs and BVPs Using Taylor Series by Mathematica, LAN (Unical) Pubblication n. 13 (2004) |

2003 | M.I. GUALTIERI, A. NAPOLI | Integrazione numerica: una proposta di unità didattica, CIRD (Unical) Pubblication n. 8, (2003) |

2002 | F. COSTABILE, A. NAPOLI | A Galerkin-type method for global approximation of second order IVPs, LAN (Unical) Pubblication n. 2, (2002) |

2001 | F. COSTABILE, A. NAPOLI | Matematica e computer con MatCos. Esperienze nelle classi, CIRD Technical report n.32 - Unical (2001) |

F. COSTABILE, A. NAPOLI | A Galerkin-type method with Chebyshev nodes for IVPs, Technical report n.41 Series II – Unical (2001) | |

1999 | F. COSTABILE, A. NAPOLI | A global method for approximation of the Cauchy differential problem by Chebyshev polynomilas of the second kind, LAN, Technical report n.37 Series II – Unical (1999) |

1998 | F. COSTABILE, A. NAPOLI | A method for global approximation of the Cauchy differential problem, LAN, Technical report n.34 Series II – Unical (1998) |

1996 | F. COSTABILE, A. NAPOLI | Un metodo per l’integrazione indefinita LAN, Technical report n.24 Series II – Unical (1996) |

1995 | A. NAPOLI | Polinomi di Bernstein e questioni connesse, LAN, Technical report n.17 Series II – Unical (1995) |

## Referee/Review activities

- Applied Mathematics and Computation (AMC)
- Boundary Value Problems
- Computer Modeling in Engineering & Sciences (CMES)
- Iranian Journal of Science and Technology
- Mathematics and Computers in Simulation (MATCOM)
- Numerical Algorithms

## Software

2005 | NAPOLI | TaylorMeth (A Mathematica package for the solution of BVPs) |

2005 | NAPOLI | The Matlab solver BVMC (Software for Boundary Value Problems) |