Filomena Di Tommaso
Department of Mathematics and Computer Science - University of Calabria
Via Pietro Bucci, cubo 30/A
87036 Rende (CS) - Italy
Phone: +39 0984 496493
Fax: +39 0984 496484
Email: filomena.ditommaso@unical.it
Curriculum Vitae
From 2011 I am a member of the Unione Matematica Italiana (UMI) and of the Gruppo Nazionale per il Calcolo Scientifico (GNCS). From 2021 I am a member of the Società Italiana di Matematica Applicata e Industriale (SIMAI)
Research
My research interest is in the theory of approximation and more precisely on scattered data interpolation. In particular I have been working on:
- Scattered data interpolation by Shepard operators.
- Scattered data interpolation by triangular Shepard Method.
- Quadrature and cubature formulas on the simplex.
- Collocation methods through multinode operators.
Publications
| 2024 | F. Dell’Accio, F. Di Tommaso, E. Francomano | Multinode Shepard method for two-dimensional elliptic boundary problems on different shaped domains,
Journal of Computational and Applied Mathematics, 448: 115896 |
| R. Cavoretto, A. De Rossi, F. Dell’Accio, F. Di Tommaso, N. Siar, A. Sommariva, M. Vianello | Numerical cubature on scattered data by adaptive interpolation,
Journal of Computational and Applied Mathematics, 444: 115793 |
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| 2023 | F. Dell'Accio, F. Di Tommaso, A. Guessab, F. Nudo | A general class of enriched methods for the simplicial linear finite elements,
Applied Mathematics and Computation, 456: 128149 |
| F. Dell'Accio, F. Di Tommaso, A. Guessab, F. Nudo | Enrichment strategies for the simplicial linear finite elements,
Applied Mathematics and Computation, 451: 128023 |
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| F. Dell'Accio, F. Di Tommaso, A. Guessab, F. Nudo | A unified enrichment approach of the standard three-node triangular element polynomial elements,
Applied Numerical Mathematics, 187: 1-23 |
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| F. Dell'Accio, F. Di Tommaso, A. Guessab, F. Nudo | On the improvement of the triangular Shepard method by non conformal polynomial elements,
Applied Numerical Mathematics, 184: 446-460 |
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| 2022 | F. Dell'Accio, F. Di Tommaso,E. Francomano, F. Nudo | An adaptive algorithm for determining the optimal degree of regression in constrained mock-Chebyshev least squares quadrature,
Dolomites Research Notes on Approximation, 15 (4): 35-44 |
| F. Dell'Accio, F. Di Tommaso, N. Siar, M. Vianello | DISC: an adaptive numerical Differentiator by local polynomial Interpolation on multivariate SCattered data,
Dolomites Research Notes on Approximation, 15 (2): 81-91 |
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| F. Dell'Accio, F. Di Tommaso, F. Nudo | Constrained mock-Chebyshev least squares quadrature,
Applied Mathematics Letters, 134: 108328 |
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| F. Dell'Accio, F. Di Tommaso, G. Ala, E. Francomano | Electric Scalar Potential Estimations for Non-Invasive Brain Activity Detection Through Multinode Shepard Method,
MELECON 2022 - IEEE Mediterranean Electrotechnical Conference, Proceedings, 2022, pp. 1264–1268 |
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| F. Dell'Accio, F. Di Tommaso, A. Giordano, R. Rongo, W. Spataro | A Parallel Implementation of the Triangular Shepard Interpolation Method,
Proceedings - 30th Euromicro International Conference on Parallel, Distributed and Network-Based Processing, PDP 2022: 234–237 |
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| F. Dell'Accio, F. Di Tommaso, F. Nudo | Generalizations of the constrained mock-Chebyshev least squares in two variables: tensor product vs total degree polynomial interpolation,
Applied Mathematics Letters, 125: 107732 |
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| F. Dell'Accio, F. Di Tommaso, N. Siar, M. Vianello | Numerical differentiation on scattered data through multivariate polynomial interpolation,
BIT Numerical Mathematics, 62: 773–801 |
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| 2021 | F. Dell'Accio, F. Di Tommaso, O. Nouisser, N. Siar | Solving Poisson equation with Dirichlet conditions through multinode Shepard operators,
Computers and Mathematics with Applications, 98: 254–260 |
| F. Dell'Accio, F. Di Tommaso, O. Nouisser, B. Zerroudi | Fast and accurate scattered Hermite interpolation by triangular Shepard operators,
Journal of Computational and Applied Mathematics, 382: 113092 |
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| F. Dell'Accio, F. Di Tommaso, N. Siar | On the numerical computation of bivariate Lagrange polynomials,
Applied Mathematics Letters, 112: 106845 |
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| 2020 | F. Di Tommaso, B. Zerroudi | On Some Numerical Integration Formulas on the d-Dimensional Simplex,
Mediterranean Journal of Mathematics, 17: 142 |
| F. Dell'Accio, F. Di Tommaso, O. Nouisser, N. Siar | Rational Hermite interpolation on six-tuples and scattered data,
Applied Mathematics and Computation, 386: 125452, 2020 |
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| R. Cavoretto, A. De Rossi, F. Dell'Accio, F. Di Tommaso | An Efficient Trivariate Algorithm for Tetrahedral Shepard Interpolation,
Journal of Scientific Computing, 82: 57, 2020 |
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| F. Dell'Accio, F. Di Tommaso, D. Gonnelli | Comparison of Shepard’s Like Methods with Different Basis Functions,
In: Sergeyev Y., Kvasov D. (eds) Numerical Computations: Theory and Algorithms. NUMTA 2019. Lecture Notes in Computer Science, vol 11973, pp. 47-55. Springer, Cham doi: https://doi.org/10.1007/978-3-030-39081-5_6 |
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| F. Dell'Accio, F. Di Tommaso | Interpolation by Bivariate Quadratic Polynomials and Applications to the Scattered Data Interpolation Problem,
In: Sergeyev Y., Kvasov D. (eds) Numerical Computations: Theory and Algorithms. NUMTA 2019. Lecture Notes in Computer Science, vol 11973, pp. 35-46. Springer, Cham doi: https://doi.org/10.1007/978-3-030-39081-5_5 |
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| R. Cavoretto, A. De Rossi, F. Dell'Accio, F. Di Tommaso | A 3D Efficient Procedure for Shepard Interpolants on Tetrahedra,
In: Sergeyev Y., Kvasov D. (eds) Numerical Computations: Theory and Algorithms. NUMTA 2019. Lecture Notes in Computer Science, vol 11973, pp. 27-34. Springer, Cham doi: https://doi.org/10.1007/978-3-030-39081-5_4 |
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| F. Dell'Accio, F. Di Tommaso | On the hexagonal Shepard method,
Applied Numerical Mathematics, 150: 51-64, 2020 |
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| 2019 | F. Dell'Accio, F. Di Tommaso | Rate of convergence of multinode Shepard operators
Dolomites Research Notes on Approximation, 12 (1): 1-6, 2019 |
| R.Cavoretto, A. De Rossi, F. Dell'Accio, F. Di Tommaso | Fast computation of triangular Shepard interpolants
Journal of Computational and Applied Mathematics, 354: 457-470, 2019 |
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| 2018 | F. Dell'Accio, F. Di Tommaso, O. Nouisser, B. Zerroudi | Increasing the approximation order of the triangular Shepard method
Applied Numerical Mathematics, 126: 78-91, 2018 |
| F. A. Costabile, F. Di Tommaso, E. Longo | A mixed Lagrange-Bernoulli tensor product expansion on the rectangle with applications
Mathematics and Computers in Simulation, 147: 73-89, 2019 |
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| F. Dell'Accio, F. Di Tommaso, K. Hormann | Reconstruction of a function from Hermite–Birkhoff data
Applied Mathematics and Computation, 318: 51-69, 2018 |
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| 2017 | F. Dell’Accio, F. Di Tommaso, M. I. Gualtieri, G. Infante, A. Napoli | Editorial of the Special Issue: New Trends in Numerical Analysis: Theory, Methods, Algorithms and Applications - NETNA 2015 (dedicated to Professor F.A. Costabile on his 70th birthday) held in Falerna (CZ), Italy during June 18-20, 2015
Mathematics and Computers in Simulation |
| F. Dell'Accio, F. Di Tommaso | Bivariate Shepard-Bernoulli operators
Mathematics and Computers in Simulation, 141: 65-82, 2017 |
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| R. Cavoretto, A. De Rossi, F. Dell'Accio, F. Di Tommaso | An efficient technique for the interpolation on compact triangulations
Proceedings of the 17th International Conference on Computational and Mathematical Methods in Science and Engineering |
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| 2016 | F. Dell'Accio, F. Di Tommaso, K. Hormann | Multinode rational operators for univariate interpolation
AIP Conference Proceedings 1776, 070010, 2016 https://doi.org/10.1063/1.4965356 |
| F. Dell'Accio, F. Di Tommaso, K. Hormann | On the enhancement of the approximation order of triangular Shepard method
AIP Conference Proceedings 1776, 070009, 2016 https://doi.org/10.1063/1.4965355 |
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| F. Dell'Accio, F. Di Tommaso | Scattered data interpolation by Shepard's like methods: classical results and recent advances
Dolomites Research Notes on Approximation, 9: 32-44, 2016 |
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| F. A. Costabile, F. Di Tommaso, E. Longo | A new polynomial operator with only boundary data on the rectangle
"Daniela Mansutti, Rosa Maria Spitaleri (Eds), MASCOT2015 Proceedings, IMACS Series in Computational and Applied Mathematics 20 (2017), IMACS, Rome, pages 180." |
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| F. Dell'Accio, F. Di Tommaso | Complete Hermite-Birkhoff interpolation on scattered data by combined Shepard operators
Journal of Computational and Applied Mathematics, 300: 192-206, 2016 |
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| F. Dell'Accio, F. Di Tommaso, K. Hormann | On the approximation order of triangular Shepard interpolation
IMA Journal of Numerical Analysis, 36 (1): 359-379, 2016 |
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| 2014 | F. Dell'Accio, F. Di Tommaso | Bivariate Shepard-Bernoulli operators
arXiv.org e-Print archive: arXiv:1406.5962 |
| 2013 | F. A. Costabile, F. Dell'Accio, F. Di Tommaso | Complementary Lidstone Interpolation on Scattered Data Sets
Numerical Algorithms, 67: 157-180, 2013 |
| 2012 | F. A. Costabile, F. Dell'Accio, F. Di Tommaso | Enhancing the approximation order of local Shepard operators by Hermite polynomials
Computers and Mathematics with Applications, 64 (11): 3641-3655, 2012 |
| R. Caira, F. Dell'Accio, F. Di Tommaso | On the bivariate Shepard-Lidstone operators
Journal of Computational and Applied Mathematics, 236 (7): 1691-1707 |
Conferences, Workshops and Seminars
| 2024 | ATMA2024: Approximation: Theory, Methods and Applications
Lecce, June 11-24, 2024 Invited Speaker |
| 2023 | International Conference on Approximation Theory and Applications
Cetraro, June 18-22, 2023 |
| NUMTA2023 - Numerical Computations: Theory and Algorithms
Pizzo Calabro, June 14-20, 2023 |
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| ATMA2023 - Approximation: Theory, Methods and Applications
Padova, January 18-20, 2023 |
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| 2022 | Functional Analysis, Approximation Theory and Numerical Analysis - FAATNA20>22
Matera, July 05-08, 2022 Invited Speaker |
| Convegno e Assemblea GNCS 2022
Montecatini Terme, June 27-29, 2022 |
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| The 21st IEEE Mediterranean Electrotechnical Conference - MELECON2022
Palermo, June 14-16, 2022 Invited Speaker |
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| Software for Approximation (SA2022)
Torino (Hybrid Workshop), February 3-4, 2022 Invited Speaker |
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| 2021 | ATMA2021 - Approximation: Theory, Methods and Applications
Reggio Calabria, November 10-12, 2021 Co-Organizer (with M. Cotronei, C. Conti, A. De Rossi, F. Dell'Accio, L. Puccio) |
| DWCAA21 - 5th Dolomites Workshop on Constructive Approximation and Applications
Virtual Conference, September 6-10, 2021 Co-Organizer (with A. De Rossi) of the Poster Session |
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| SIMAI 2020+2021
Parma, August, 30 - September 3, 2021 Co-Organizer (with R. Cavoretto, W. Erb, I. Notarangelo) of the Minisymposium "New Trends and Applications in Approximation Theory" |
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| SIAM AN21 - SIAM Annual meeting
Virtual Conference, July 19-23, 2021 Invited Speaker for the Minisymposium "MS5 Inverse Distance Weighting-Partition of Unity Methods and Applications" |
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| SIAM GS21 - SIAM Conference on Mathematical & Computational Issued in the Geosciences
Virtual Conference (Originally scheduled in Milan, Italy) June 21-24, 2021 Invited Speaker for the Minisymposium "MS66 - Approximation in Geosciences: Theory and Numerics" |
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| OSNA^2 - Online Seminars on Numerical Approximation and Applications (Second Edition)
April 09, 2021 |
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| 2020 | MATA2020 - Multivariate Approximation: Theory and Applications
Perugia (Italy), 16-18 January 2020 |
| 2019 | XXI Congresso dell'Unione Matematica Italiana
Pavia (Italy), 02-07 September 2019 |
| ICIAM2019 - International Congress on Industrial and Applied Mathematics
Valencia (Spain), 15-19 July 2019 |
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| NUMTA2019 - Numerical Computations: Theory and Algorithms
Le Castella - Isola Capo Rizzuto (Italy), 15-21 June 2019 |
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| IM-Workshop 2019 on Signals, Images, and Approximation
Bernried (Germany), 4-8 March 2019 |
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| Approssimazione Multivariata: Teoria e Applicazioni - AMTA2019
Napoli (Italy), 24-26 January 2019 |
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| 2018 | SIAM Conference on Imaging Science
Bologna (Italy), 5-8 June 2018 |
| 2017 | Multivariate Approximation: Theory, Algorithms & Applications (MATAA 2017)
Torino (Italy), 25-26 May 2017 |
| 2016 | NUMTA2016 - Numerical Computations: Theory and Algorithms
Pizzo Calabro (Italy), 19 – 25 June 2016 |
| International Conference on Multivariate Approximation
Schloss Rauischholzhausen (Germany), 31 March - 5 April 2016 Invited Partecipant |
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| Miniworkshop Kernel-based methods and function approximation
Torino (Italy), 5th February 2016 Invited Speaker |
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| 2015 | Numerical Modeling in Evolutionary Problems: perspectives and applications
Fisciano (Italy), 26-27th October 2015 |
| XX Congresso dell'Unione Matematica Italiana
Siena (Italy), 7th - 12th September 2015 |
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| NETNA2015 -New Trends in Numerical Analysis - Theory, Methods, Algorithms and Applications
Falerna, Italy, Hotel Eurolido, June 18-21, 2015 |
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| MASCOT2015 - 14th Meeting On Applied Scientific Computing And Tools
Rome (Italy), 9th June - 12th June 2015 |
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| 2014 | First Joint International Meeting RSME-SCM-SEMA-SIMAI-UMI
Bilbao (Spain), 30th June - 4th July 2014 Invited Speaker for the Special Session "Special Functions, Orthogonal Polynomials and Applications" |
| 8th International Conference CURVES and SURFACES
Paris, France, Arts & Mètiers ParisTech, June 12-18, 2014 |
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| 2013 | Workshop on Multivariate Approximation in honor of Prof. Len Bos 60th birthday
Verona, Department of Computer Science, 29th-30th November 2013 |
| Dolomites Research Week on Approximation 2013
Alba di Canazei (TN), 8th-13th September 2013 |
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| 25th Biennial Numerical Analysis Conference
Department of Mathematics and Statistics, University of Strathclyde, Glasgow (UK), 25th-28th June 2013 Contribution at Minisymposia: Mathematics and Algorithms Related to Chebfun |
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| 2012 | 3rd Dolomites Workshop on Constructive Approximation and Applications
Alba di Canazei (TN), 9th-14th September 2012 |
| International Workshop on New Trends in Subdivision and Related Applications
Department of Mathematics and Applications, University of Milano-Bicocca, 4th-7th September 2012 |
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| 2011 | SC2011 - International Conference in Scientific Computing
S. Margherita di Pula (CA), 10th-14th October 2011 |
| XIX Congresso dell'Unione Matematica Italiana
Bologne, 13th-14th September 2011 |
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| Dolomites Research Week on Approximation 2011
Alba di Canazei (TN), 5th-9th September 2011 |
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| Consegna Premi INDAM-SIMAI 2010 & Giornata di Studio "Prospettive di sviluppo della matematica applicata in Italia 2011"
Rome, 8th April 2011 |
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| 2010 | Dolomites Research Week on Approximation 2010
Alba di Canazei (TN), 6th-9th September 2010 |
Teaching Activities
| Academic Year 2019/2020 | Research fellow at the Department of Mathematics and Computer Science
University of Calabria Courses: Analisi Numerica 1 (SSD MAT/08) Courses:Metodi Numerici per la Grafica (SSD MAT/08) Courses: Analisi Matematica 2 (SSD MAT/05) |
| Academic Year 2018/2019 | Adjunct Professor at the Department of Mathematics and Computer Science
University of Calabria Courses: Laboratorio di Programmazione e Calcolo (SSD MAT/08) |
| Adjunct Professor at the Department of Mathematics and Computer Science
University of Calabria Courses: Analisi Numerica 1 - Modulo 2 (SSD MAT/08) |
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| Academic Year 2017/2018 | Adjunct Professor at the Department of Mathematics and Computer Science
University of Calabria Courses: Calcolo Numerico e Programmazione (SSD MAT/08) |
| Academic Year 2016/2017 | Adjunct Professor at the Department of Mathematics and Computer Science
University of Calabria Courses: Laboratorio di Programmazione e Calcolo (SSD MAT/08) |
| Adjunct Professor at the Department of Mathematics and Computer Science
University of Calabria Courses: Calcolo Numerico e Programmazione (SSD MAT/08) |
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| Teacher at the Department of Biology, Ecology and Earth Sciences
University of Calabria Courses: 20 hours Basic Course in Mathematics (CdS in Biology) |
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| Teacher at the Department of Mathematics and Computer Science
University of Calabria Courses: 45 hours Basic Course in Mathematics (CdS in Mathematics and Computer Science) |
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| Academic Year 2015/2016 | Adjunct Professor at the Department of Mathematics and Computer Science
University of Calabria Courses: Calcolo Numerico e Programmazione (SSD MAT/08) |
| Teaching assistant at the Dipartimento di Studi Umanistici
University of Calabria Courses: Geometria |
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| Teacher at the Department of Biology, Ecology and Earth Sciences
University of Calabria Courses: 20 hours Basic Course in Mathematics (CdS in Biology) |
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| Teacher at the Department of Mathematics and Computer Science
University of Calabria Courses: 45 hours Basic Course in Mathematics (CdS in Mathematics and Computer Science) |
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| Academic Year 2014/2015 | Adjunct Professor at the Department of Mathematics and Computer Science
University of Calabria Courses:
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| Teaching assistant at the Dipartimento di Studi Umanistici
University of Calabria Course: Geometria |
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| Teacher at the Department of Mathematics and Computer Science
University of Calabria Courses:
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| Academic Year 2013/2014 | Adjunct Professor at the Department of Mathematics and Computer Science
University of Calabria Courses:
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| Teaching assistant at the Dipartimento di Studi Umanistici
University of Calabria Courses: Geometria |
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| Teacher at the Department of Mathematics and Computer Science
University of Calabria Courses: 30 hours Basic Course in Mathematics (CdS in Mathematics) |
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| School Year 2013/2014 | Professor of the PON project “RICOMINCIO DAL…3”
IC Gullo Cosenza IV |
| Professor of the PON project “PICCOLI MATEMATICI”
Direzione Didattica Statale II Circolo, Castrovillari |
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| Professor of the PON project “SUL PIANO DELLA REALTÀ”
Istituto Comprensivo Rende-Commenda |
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| Professor of the PON project “PENSIERO MATEMATICO E LOGICA”
Liceo Scientifico “E. Mattei”, Castrovillari |
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| Academic Year 2012/2013 | Adjunct Professor at the Department of Mathematics and Computer Science
University of Calabria Course: Laboratorio di Programmazione e Calcolo (SSD MAT/08) |
| Academic Year 2009/2010 | Tutor for the mathematical area at the Faculty of Mathematical Physical and Natural Sciences
University of Calabria Course: Laboratorio di Programmazione e Calcolo (SSD MAT/08) |
| Tutor for the mathematical area at the Faculty of Mathematical Physical and Natural Sciences
University of Calabria Starting course in Mathematics ( POR CALABRIA 2000-2006, MISURA 3.7 AZIONE 3.7.a ---POR – FSE CALABRIA 2007-2013 – ASSE IV, OB.OPERATIVO L.1 e L.2) |
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| Academic Year 2008/2009 | Tutor for the mathematical area at the Faculty of Mathematical Physical and Natural Sciences
University of Calabria Course: Laboratorio di Programmazione e Calcolo (SSD MAT/08) |
| Tutor for the mathematical area at the Faculty of Mathematical Physical and Natural Sciences
University of Calabria Starting course in Mathematics ( POR CALABRIA 2000-2006, MISURA 3.7 AZIONE 3.7.a ---POR – FSE CALABRIA 2007-2013 – ASSE IV, OB.OPERATIVO L.1 e L.2) |
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| School Year 2009/2010 | Professor of the PON project “Più successo in matematica”
lstituto Tecnico Commerciale e per Geometra "Gustavo Pompeo Pizzini" Paola. |
| Professor of the PON project “LOGlCA...MENTE”.
Scuola media statale "Pierre De Coubertin" Rende |
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| Professor of the Summer recovery course.
Scuola media statale "Primo Levi" Saracena |
Students
Bachelor Students (Laurea triennale in Matematica)
| Raffaella De Giorgio | Interpolazione in più variabili (A.A. 2019/2020 - Francesco Dell'Accio co-relatore) |
| Milena Torchia | B-Spline e applicazioni (A.A. 2019/2020 - Francesco Dell'Accio co-relatore) |
| Sonia Stelitano | Schemi di suddivisione per il Geometric Design (A.A. 2016/2017 - Francesco Dell'Accio co-relatore) |
Master Degree Students (Laurea specialistica/magistrale in Matematica)
| Dott. Federico Nudo | Il problema di interpolazione di Hermite per quintiche PH planari (A.A. 2019/2020 - Francesco Dell'Accio co-relatore) |
| Dott.ssa Sonia Stelitano | Soluzione numerica di equazioni a derivate parziali mediante metodi di collocazione con operatori multinodo (A.A. 2018/2019 - Francesco Dell'Accio co-relatore) |
| Dott.ssa Sandra Primerano | Interpolazione trivariata di dati scattered: operatore di Shepard-Lidstone (A.A. 2016/2017 - Francesco Dell'Accio co-relatore) |
| Dott.ssa Stefania Serena Suriano | Interpolazione Trivariata di Dati Scattered: operatore di Shepard-Bernoulli (A.A. 2016/2017 - Francesco Dell'Accio co-relatore) |
| Dott.ssa Antonella Maiuolo | Su un miglioramento del metodo di Shepard triangolare (A.A. 2016/2017 - Francesco Dell'Accio co-relatore) |
| Dott.ssa Giusi Maiuolo | Il metodo di Shepard esagonale (A.A. 2016/2017 - Francesco Dell'Accio co-relatore) |
| Dott.ssa Vanessa Eugenia Curatolo | Ulteriori sviluppi sull'interpolazione baricentrica di Floater-Hormann (A.A. 2015/2016 - Francesco Dell'Accio co-relatore) |