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
Peer-reviewed journal articles
| 2024 | W. Abd-Elhameed, A. Napoli | New formulas of convolved Pell polynomials, AIMS Mathematics, 9(1) (2024), 565-593. | |
| 2023 | F. Costabile, M.I. Gualtieri, A. Napoli | Polynomial Sequences, Basic Methods, Special Classes and Computational Applications, (Vol. 96). Walter de Gruyter GmbH & Co KG, 2023 | |
| W. Abd-Elhameed, H.M. Ahmed, A. Napoli, V. Kowalenko, | New Formulas of Fibonacci Polynomials and Their Links With Orthogonal Polynomials, Symmetry 15(3) (2023), 736. | ||
| W. Abd-Elhameed, A. Napoli | Some Novel Formulas of Lucas polynomials Via Different Approaches, Symmetry 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). | ||
| 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) 1-13. | ||
| 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 | Lidstone-Euler 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 | Lidstone-Euler interpolation and related high even order boundary value problem, Calcolo 58(2), 1-24. | ||
| 2020 | F. Costabile, M.I. Gualtieri, A. Napoli | Lidstone-based collocation splines for odd-order BVPs, Math. Comput. Simulat. 186, 124-135. | |
| F. Costabile, M.I. Gualtieri, A. Napoli | Matrix calculus-based approach to orthogonal polynomial sequences, Mediterr. J. Math. 17:118 . | ||
| F. Costabile, M.I. Gualtieri, A. Napoli | Odd and Even Lidstone-type 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, 3829-3862. | |
| Abd-Elhameed, A. Napoli | A unified approach for solving linear and nonlinear odd-order two point boundary value problems, Bull. Malays. Math. Sci. Soc. 2019, 1-15. | ||
| 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/s10092-019-0354-z. | |
| F. Costabile, M.I. Gualtieri, A. Napoli | Odd and Even Lidstone-type 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, 244-255. | ||
| A. Napoli, W. Abd-Elhameed | A new collocation algorithm for solving even-order boundary value problems via a novel matrix method, Integral Transform. and Spec. Funct., 30(2), (2018), 112-127. | ||
| 2017 | A. Napoli, W. Abd-Elhameed | An Innovative Harmonic Numbers Operational Matrix Method for Solving Initial Value Problems, CALCOLO 54(1), 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, 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), 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, 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, 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) | |
| F. Costabile, A. Napoli | A method for high-order multipoint boundary value problems with Birkhoff-type conditions, Int. J. Comput. Math. 92 (1), 192-200. | ||
| F. Costabile, A. Napoli | Collocation for high order differential equations with Hermite boundary conditions, Appl. Numer. Math. 87, 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. | |
| 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), 1757-1769. | ||
| 2011 | F. Costabile, A. Napoli | Economical Runge-Kutta methods with strong order one for stochastic differential equations Appl. Numer. Math. 61, 160-169. | |
| F. Costabile, A. Napoli | A class of collocation methods for numerical integration of initial value problems, Comput. Math. Appl. 62(8), 3221-3235. | ||
| F. Costabile, A. Napoli | A Mathematica package for the solution of IVPs, Int. J. Numer. Meth. Appl. 6(2), 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), 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, 407-420 | ||
| A. Napoli | La sezione aurea: un'occasione per l'interdisciplinarità, Didattica e didattiche disciplinari 9,73-94 | ||
| 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), 499-509. | |
| F. Costabile, M.I. Gualtieri, A. Napoli | Il concetto di integrale col supporto di MatCos, Didattica e didattiche disciplinari 6, 107-126. | ||
| M.I. Gualtieri, A. Napoli | Rodonee e... simili, Progetto Alice, Vol. IX (27), 523-538 | ||
| 2007 | F. Costabile, A. Napoli | A collocation method for global approximation of general second order BVPs, Computing Letters 3(1), 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), 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), 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 A, (2005) 131-134. | |
| 2004 | F. Costabile, A. Napoli | Stability of Chebyshev collocation method, Comput. Math. Appl. 47(4-5), 659-666. | |
| 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). 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
| 2024 | - The parabolic mean operator and applications, Functional Analysis: Methods, and Applications (FAMA2024), Amantea (CS), June 6-8, 2024. |
| 2024 | - The parabolic mean operator and the related polynomial sequences, AMCSE 4th International Conference on Applied Mathematics, Computational Science and Systems Engineering, London, UK, April 29 - May 1, 2024. |
| 2023 | - Appell-type Quadrature Formulas, Calcolo Scientifico e Modelli Matematici, Naples, Italy, January 29-31, 2023. |
| 2023 | - Umbral Quadrature Formulas, International Conference on Approximation Theory and Applications, Cetraro (CS), Italy, June 18-22, 2023. |
| 2019 | - Spline solution of odd-order Lidstone-type BVPs, International Conference Mathematical And Computational Modelling, Approximation And Simulation (MACMAS 2019), Granada Spain, September 9-11, 2019. |
| 2017 | Collocation spline interpolation for numerical solution of high-order Lidstone-type Boundary Value Problems, Foundations of Computational Mathematic (FOCM 2017), Barcelona, Spain, July 10-19, 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 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
| 2023 | F.A. Costabile, M.I. Gualtieri, A. Napoli | Polynomial Sequences, Basic Methods, Special Classes and Computational Applications, (Vol. 96), Walter de Gruyter GmbH & Co KG, 2023 |
| 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. GualtieriI, 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)
- Applied Numerical Mathematics
- Boundary Value Problems
- Computer Modeling in Engineering & Sciences (CMES)
- Dolomites Research Notes on Approximation
- Fractal and Fractional
- International Journal of Applied and Computational Mathematics (IACM)
- International Journal of Applied and Computational Methods (IJCM)
- Iranian Journal of Science and Technology
- Journal of Inequalities and Applications
- Mathematics and Computers in Simulation (MATCOM)
- Mediterranean Journal of Mathematics (MJOM)
- Numerical Algorithms
- Numerical Methods for Partial Differential Equations
- Symmetry
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
| 2024 | Functional Analysis: Methods, and Applications (FAMA2024)
Amantea (CS), Italy, June 6-8, 2024 Poster: The parabolic mean operator and applications |
| 2024 | AMCSE 4th International Conference on Applied Mathematics, Computational Science and Systems Engineering
London, UK, April 29 - May 1, 2024 Poster: The parabolic mean operator and the related polynomial sequences |
| 2023 | Calcolo Scientifico e Modelli Matematici
Naples, Italy, January 29-31, 2023 Poster: Appell-type Quadrature Formulas |
| 2023 | International Conference on Approximation Theory and Applications
Cetraro (CS), Italy, June 18-22, 2023 Poster: - Umbral Quadrature Formulas |
| 2019 | International Conference on Mathematical and Computational Modelling Approximation and Simulation (MACMAS 2019)
Granada, Spain, 9-11 September 2019 Poster: Spline collocation for odd-order Lidstone-type BVPs |
| 2017 | Foundation of Computational Mathematics (FoCM2017)
Barcelona, Spain, 10-19 July 2017 Poster: Collocation spline interpolation for high-order Lidstone-type boundary value problems |
| 2015 | Numerical Modeling in Evolutionary Problems: Perspectives and Appl. Workshop (NUMEP2015)
Fisciano (SA), Italy, 26-27 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, 18-21 June 2015 A class of Lagrange-collocation methods for high order boundary value problems Scientific and Organizing Committee |
Teaching Activities a.a. 2019-2020
| Analisi Numerica 2 (CdS Magistrale in Matematica)
Department of Mathematics and Computer Science University of Calabria |
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| Calcolo Numerico e Programmazione (CdS Triennale in Matematica)
Department of Mathematics and Computer Science University of Calabria |
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| Matematica e Statistica applicate alla Biologia (CdS Magistrale in Biologia)
Department of Biology, Ecology and Earth Sciences University of Calabria |
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| Matematica (CdS in Chimica e Tecnologia Farmaceutiche)
Department of Pharmacy, Health and Nutritional Sciences University of Calabria |