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)

Conferences and Workshops

Teaching Activities