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
 Sequences of Polynomial Operators
 Polynomial approximations of linear operators
 Numerical solutions of stochastic differential equations
Publications
Peerreviewed journal articles
2023  W. AbdElhameed, H.M. Ahmed, A. Napoli, V. Kowalenko,  New Formulas of Fibonacci Polynomials and Their Links With Orthogonal Polynomials, Symmetry, in press.  
W. AbdElhameed, A. Napoli  Some Novel Formulas of Lucas polynomials Via Different Approaches, Symmetry 2023, 15(1) (2023), 185.  
2022  F. Costabile, M.I. Gualtieri, A. Napoli  Towards the centenary of Sheffer polynomial sequences: old and recent results, Mathematics 2022, 10(23) (2022), 4435.  
F. Costabile, M.I. Gualtieri, A. Napoli  Polynomial Sequences and Their Applications. Editorial. Mathematics 2022, 10 (2022), 4804.  
P.B. Helzel, A. Napoli  Algoretica, Encyclopedic entry within the update volume of Enciclopedia di Bioetica e Scienza Guiridica, Edizioni Scientifiche Italiane, ESI, Napoli (2022) 113.  
F. Costabile, M.I. Gualtieri, A. Napoli  Polynomial Sequences and Their Applications, Mathematics 2022, 10(24) (2022), 4804.  
F. Costabile, M.I. Gualtieri, A. Napoli  General Odd and Even Central Factorial Polynomial Sequences, Mathematics 2022, 10(6), 978.  
F. Costabile, M.I. Gualtieri, A. Napoli  Bivariate general Appell interpolation, Numer. Algor. 9(9), 964  
2021  F. Costabile, M.I. Gualtieri, A. Napoli  LidstoneEuler second type boundary value problems: theoretical and computational tools, Mediterr. J. Math. 18:180.  
F. Costabile, M.I. Gualtieri, A. Napoli  General bivariate Appell polynomials via matrix calculus and related interpolation hints, Mathematics 2021 9(9), 964  
F. Costabile, M.I. Gualtieri, A. Napoli  LidstoneEuler interpolation and related high even order boundary value problem, Calcolo 58(2), 124.  
2020  F. Costabile, M.I. Gualtieri, A. Napoli  Lidstonebased collocation splines for oddorder BVPs, Math. Comput. Simulat. 186, 124135.  
F. Costabile, M.I. Gualtieri, A. Napoli  Matrix calculusbased approach to orthogonal polynomial sequences, Mediterr. J. Math. 17:118 .  
F. Costabile, M.I. Gualtieri, A. Napoli  Odd and Even Lidstonetype polynomial sequences. Part 2: applications, Calcolo 57(1): 6.  
2019  F.Costabile, M.I. Gualtieri, A. Napoli  Polynomial sequences: elementary basic methods and application hints. A survey, RACSAM, 38293862.  
AbdElhameed, A. Napoli  A unified approach for solving linear and nonlinear oddorder two point boundary value problems, Bull. Malays. Math. Sci. Soc. 2019, 115.  
2018  F. Costabile, M.I. Gualtieri, A. Napoli  Recurrence relations and determinant forms for general polynomial sequences. Application to Genocchi polynomials, Mediterr. J. Math. 14(4), DOI: 10.1007/s100920190354z.  
F. Costabile, M.I. Gualtieri, A. Napoli  Odd and Even Lidstonetype polynomial sequences. Part 1: basic topics, Advances in Difference Equations 2018(1), 299.  
F. Costabile, M.I. Gualtieri, A. Napoli  Some results on generalized Szász operators involving Sheffer polynomials, J. Comp. Appl. Math. 337, 244255.  
A. Napoli, W. AbdElhameed  A new collocation algorithm for solving evenorder boundary value problems via a novel matrix method, Integral Transform. and Spec. Funct., 30(2), (2018), 112127.  
2017  A. Napoli, W. AbdElhameed  An Innovative Harmonic Numbers Operational Matrix Method for Solving Initial Value Problems, CALCOLO 54(1), 5776, DOI: 10.1007/s1009201601761.  
F. Costabile, A. Napoli  A class of BirkhoffLagrange collocation methods for high order boundary value problems, Appl. Numer. Math. 116, 129140.  
A. Napoli, W. AbdElhameed  Numerical solution of eighthorder boundary value problems by using Legendre polynomials, Int. J. Comp. Meth. 14(7), 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 97895351301542, DOI: 10.5772/66995 (2017).  
2016  A. NAPOLI  Solutions of linear second order initial value problems by using Bernoulli polynomials, Appl. Numer. Math. 99, 109120, 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, 329341 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)  
F. Costabile, A. Napoli  A method for highorder multipoint boundary value problems with Birkhofftype conditions, Int. J. Comput. Math. 92 (1), 192200.  
F. Costabile, A. Napoli  Collocation for high order differential equations with Hermite boundary conditions, Appl. Numer. Math. 87, 157167.  
2014  F. Costabile, A. Napoli  Numerical solution of high order Bernoulli boundary value problems, J. Appl. Math., Vol. 2014 Article ID 276585, 9 pages.  
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), 17571769.  
2011  F. Costabile, A. Napoli  Economical RungeKutta methods with strong order one for stochastic differential equations Appl. Numer. Math. 61, 160169.  
F. Costabile, A. Napoli  A class of collocation methods for numerical integration of initial value problems, Comput. Math. Appl. 62(8), 32213235.  
F. Costabile, A. Napoli  A Mathematica package for the solution of IVPs, Int. J. Numer. Meth. Appl. 6(2), 123136.  
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, 2630 June 2011, Vol.3, ISBN 9788461461677.  
2010  F. Costabile, A. Napoli  Special even polynomials and related interpolatory problems, Integral Transforms Spec. Funct. 21(3), 183196.  
A. Napoli  Economical RungeKutta methods with weak second order for stochastic differential equations, Int. J. Contemp. Math. Sciences 5(24) (2010) 11511160.  
F. Costabile, A. Napoli  New kernels of Sard type and applications Rend. Circ. Mat. Palermo (2), Suppl. 82, 407420  
A. Napoli  La sezione aurea: un'occasione per l'interdisciplinarità, Didattica e didattiche disciplinari 9,7394  
2009  F. Costabile, A. Napoli  A special class of polynomials related to non classic general interpolatory problems, Integral Transforms Spec. Funct. 20(7) (2009) 539550.  
2008  F. Costabile, A. Napoli  Economical RungeKutta methods for numerical solution of stochastic differential equations, BIT 48(3), 499509.  
F. Costabile, M.I. Gualtieri, A. Napoli  Il concetto di integrale col supporto di MatCos, Didattica e didattiche disciplinari 6, 107126.  
M.I. Gualtieri, A. Napoli  Rodonee e... simili, Progetto Alice, Vol. IX (27), 523538  
2007  F. Costabile, A. Napoli  A collocation method for global approximation of general second order BVPs, Computing Letters 3(1), 2334, DOI: 10.1163/157404007779994205.  
F. Costabile, A. Napoli  Solving BVPs Using Twopoint Taylor Formula by a symbolic software, J. Comp. Appl. Math. 210(12), 136148, 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), 289305  
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 A, (2005) 131134.  
2004  F. Costabile, A. Napoli  Stability of Chebyshev collocation method, Comput. Math. Appl. 47(45), 659666.  
F. Costabile, A. Napoli  A method for global approximation of the solution of second order IVPs, Rend. Mat. Appl. VII. Ser. 24.  
2001  F. Costabile, A. Napoli  A method for global approximation of the initial value problem, Numer. Algorithms 27(2). 119130.  
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
2019   Spline solution of oddorder Lidstonetype BVPs, International Conference Mathematical And Computational Modelling, Approximation And Simulation (MACMAS 2019), Granada Spain, September 911, 2019. 
2017  Collocation spline interpolation for numerical solution of highorder Lidstonetype Boundary Value Problems, Foundations of Computational Mathematic (FOCM 2017), Barcelona, Spain, July 1019, 2017. 
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 2627, 2015. 
A class of Lagrangecollocation methods for high order boundary value problems, New trends in Numerical Analysys: Theory, Methods, Algorithms and Applications (NETNA 2015), Falerna (CZ), June 1821, 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 2630, 2011 
2009  New kernels of Sard type and applications, FAAT – 6th International Conference on Functional Analysis and Approximation Theory, Acquafredda di Maratea (PZ), September 2430, 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 2630, 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 2126, 2005 
Solving BVPs Using Twopoint Taylor formula by a symbolic software, International Congress: Numerical Analysis: the state of the art, Rende (CS), University of Calabria, May 1921, 2005  
2002  A method for global approximation of the solution of second order IVPs, National Congress: Analisi Numerica: stato dell’arte, Rende (CS), September 2628, 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 nonpeer 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 200506 – 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. GualtieriI, A. Napoli  Integrazione numerica: una proposta di unità didattica, CIRD (Unical) Pubblication n. 8, (2003) 
2002  F. Costabile, A. Napoli  A Galerkintype 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 Galerkintype 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  A. Napoli  TaylorMeth (A Mathematica package for the solution of BVPs) 
2005  A. Napoli  The Matlab solver BVMC (Software for Boundary Value Problems) 
Recent Conferences and Workshops
2019  International Conference on Mathematical and Computational Modelling Approximation and Simulation (MACMAS 2019)
Granada, Spain, 911 September 2019 Poster: Spline collocation for oddorder Lidstonetype BVPs 
2017  Foundation of Computational Mathematics (FoCM2017)
Barcelona, Spain, 1019 July 2017 Poster: Collocation spline interpolation for highorder Lidstonetype boundary value problems 
2015  Numerical Modeling in Evolutionary Problems: Perspectives and Appl. Workshop (NUMEP2015)
Fisciano (SA), Italy, 2627 October 2015 Numerical solution of initial value problems by using Legendre polynomials 
2015  New Trends in Numerical Analysis. Theory, Methods, Algor. and Appl. Intern. Conf. (NETNA2015)
Falerna (CZ), Italy, 1821 June 2015 A class of Lagrangecollocation methods for high order boundary value problems Scientific and Organizing Committee 
Teaching Activities a.a. 20192020
Analisi Numerica 2 (CdS Magistrale in Matematica)
Department of Mathematics and Computer Science University of Calabria 

Calcolo Numerico e Programmazione (CdS Triennale in Matematica)
Department of Mathematics and Computer Science University of Calabria 

Matematica e Statistica applicate alla Biologia (CdS Magistrale in Biologia)
Department of Biology, Ecology and Earth Sciences University of Calabria 

Matematica (CdS in Chimica e Tecnologia Farmaceutiche)
Department of Pharmacy, Health and Nutritional Sciences University of Calabria 