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

13 Apr. 2021 Achievement of the National Scientific Qualification for the role of Associate Professor for the sector 01/A5, SSD MAT/08 - Numerical Analysis
(validy of the abilitation from 13/04/2021 to 13/04/2030)
Oct. 2019 - Assistant Professor (RTDa)
Department of Mathematics and Computer Science - University of Calabria
Feb. 2018 - Jan. 2019 Research fellowship in Numerical Analysis
Funded by the University of Calabria
May 2016 - Nov. 2017 Research fellowship in Numerical Analysis
Funded by the CUC - Centro Universitario Cattolico
May 2015 - Apr. 2016 Research fellowship in Numerical Analysis
Funded by the University of Calabria
Nov. 2014 - Apr. 2015 Research fellowship in Numerical Analysis
Funded by the CUC - Centro Universitario Cattolico
12th Dec. 2013 Phd in Mathematics and Computer Science - Thesis Defense
Department of Mathematics and Computer Science - University of Calabria
Thesis: On the enhancement of the approximation order of Shepard operators
Supervisor: Prof. Francesco Dell'Accio
Sept. 2013 Second classified on 13 for the "Project young researchers year 2013"
(cofunded by the GNCS - Gruppo Nazionale per il Calcolo Scientifico)
Jan. - July 2013 Period of study and research at the Mathematical Institute of the Oxford University
Supervisor: Prof. Lloyd Nick Trefethen
Jan. - July 2012 Period of study and research at the Università della Svizzera Italiana
Supervisor: Prof. Kai Hormann
17th Dec. 2009 Master degree in Mathematics "cum laude", dignity of publication and mention of the curriculum
Faculty of Mathematical Physical and Natural Sciences - University of Calabria
Thesis: Generalizzazione dell’operatore di Shepard-Bernoulli al caso bivariato
Supervisor: Prof. Francesco Dell'Accio
24th July 2007 Bachelor degree in Mathematics "cum laude" at University of Calabria, Italy
Faculty of Mathematical Physical and Natural Sciences - University of Calabria
Thesis: Interpolazione di Lagrange baricentrica
Supervisor: Prof. Francesco Dell'Accio

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

2021 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
F. Dell'Accio, F. Di Tommaso, N. Siar On the numerical computation of bivariate Lagrange polynomials,
Applied Mathematics Letters, 112: 106845
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
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
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
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
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
F. Dell'Accio, F. Di Tommaso On the hexagonal Shepard method,
Applied Numerical Mathematics, 150: 51-64, 2020
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
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
F. Dell'Accio, F. Di Tommaso, K. Hormann Reconstruction of a function from Hermite–Birkhoff data
Applied Mathematics and Computation, 318: 51-69, 2018
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
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
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
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
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."
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
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
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

2021 OSNA^2 - Online Seminars on Numerical Approximation and Applications (Second Edition)
09 April 2021
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
NUMTA2019 - Numerical Computations: Theory and Algorithms
Le Castella - Isola Capo Rizzuto (Italy), 15-21 June 2019
IM-Workshop 2019 on Signals, Images, and Approximation
Bernried (Germany), 4-8 March 2019
Approssimazione Multivariata: Teoria e Applicazioni - AMTA2019
Napoli (Italy), 24-26 January 2019
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
Miniworkshop Kernel-based methods and function approximation
Torino (Italy), 5th February 2016
Invited Speaker
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
NETNA2015 -New Trends in Numerical Analysis - Theory, Methods, Algorithms and Applications
Falerna, Italy, Hotel Eurolido, June 18-21, 2015
MASCOT2015 - 14th Meeting On Applied Scientific Computing And Tools
Rome (Italy), 9th June - 12th June 2015
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
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
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
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
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
Dolomites Research Week on Approximation 2011
Alba di Canazei (TN), 5th-9th September 2011
Consegna Premi INDAM-SIMAI 2010 & Giornata di Studio "Prospettive di sviluppo della matematica applicata in Italia 2011"
Rome, 8th April 2011
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)
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)
Teacher at the Department of Biology, Ecology and Earth Sciences
University of Calabria
Courses: 20 hours Basic Course in Mathematics (CdS in Biology)
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)
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
Teacher at the Department of Biology, Ecology and Earth Sciences
University of Calabria
Courses: 20 hours Basic Course in Mathematics (CdS in Biology)
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)
Academic Year 2014/2015 Adjunct Professor at the Department of Mathematics and Computer Science
University of Calabria
Courses:
  • Laboratorio di Programmazione e Calcolo (SSD MAT/08)
  • Calcolo Numerico e Programmazione (SSD MAT/08)
Teaching assistant at the Dipartimento di Studi Umanistici
University of Calabria
Course: Geometria
Teacher at the Department of Mathematics and Computer Science
University of Calabria
Courses:
  • 30 hours Basic Course in Mathematics (CdS in Mathematics)
  • 30 hours Basic Course in Mathematics (CdS in Mathematics and Computer Science)
Academic Year 2013/2014 Adjunct Professor at the Department of Mathematics and Computer Science
University of Calabria
Courses:
  • Laboratorio di Programmazione e Calcolo (SSD MAT/08)
  • Calcolo Numerico e Programmazione (SSD MAT/08)
Teaching assistant at the Dipartimento di Studi Umanistici
University of Calabria
Courses: Geometria
Teacher at the Department of Mathematics and Computer Science
University of Calabria
Courses: 30 hours Basic Course in Mathematics (CdS in Mathematics)
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
Professor of the PON project “SUL PIANO DELLA REALTÀ”
Istituto Comprensivo Rende-Commenda
Professor of the PON project “PENSIERO MATEMATICO E LOGICA”
Liceo Scientifico “E. Mattei”, Castrovillari
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)
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)
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
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 PrimeranoInterpolazione trivariata di dati scattered: operatore di Shepard-Lidstone (A.A. 2016/2017 - Francesco Dell'Accio co-relatore)
Dott.ssa Stefania Serena SurianoInterpolazione Trivariata di Dati Scattered: operatore di Shepard-Bernoulli (A.A. 2016/2017 - Francesco Dell'Accio co-relatore)
Dott.ssa Antonella MaiuoloSu un miglioramento del metodo di Shepard triangolare (A.A. 2016/2017 - Francesco Dell'Accio co-relatore)
Dott.ssa Giusi MaiuoloIl metodo di Shepard esagonale (A.A. 2016/2017 - Francesco Dell'Accio co-relatore)
Dott.ssa Vanessa Eugenia CuratoloUlteriori sviluppi sull'interpolazione baricentrica di Floater-Hormann (A.A. 2015/2016 - Francesco Dell'Accio co-relatore)