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: ditommaso@mat.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).
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.
Publications
2019  F. Dell'Accio, F. Di Tommaso  Rate of convergence of multinode Shepard operators
Dolomites Research Notes on Approximation 

R.Cavoretto, A. De Rossi, F. Dell'Accio, F. Di Tommaso  Fast computation of triangular Shepard interpolants
Journal of Computational and Applied Mathematics 

2018  F. Dell'Accio, F. Di Tommaso, O. Nouisser, B. Zerroudi  Increasing the approximation order of the triangular Shepard method
Applied Numerical Mathematics 

F. A. Costabile, F. Di Tommaso, E. Longo  A mixed LagrangeBernoulli tensor product expansion on the rectangle with applications
Mathematics and Computers in Simulation 

F. Dell'Accio, F. Di Tommaso, K. Hormann  Reconstruction of a function from Hermite–Birkhoff data
Applied Mathematics and Computation 

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 1820, 2015
Mathematics and Computers in Simulation 

F. Dell'Accio, F. Di Tommaso  Bivariate ShepardBernoulli operators
Mathematics and Computers in Simulation 

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 

F. Dell'Accio, F. Di Tommaso, K. Hormann  On the enhancement of the approximation order of triangular Shepard method
AIP Conference Proceedings 

F. Dell'Accio, F. Di Tommaso  Scattered data interpolation by Shepard's like methods: classical results and recent advances
Dolomites Research Notes on Approximation 

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 HermiteBirkhoff interpolation on scattered data by combined Shepard operators
Journal of Computational and Applied Mathematics 

F. Dell'Accio, F. Di Tommaso, K. Hormann  On the approximation order of triangular Shepard interpolation
IMA Journal of Numerical Analysis 

2014  F. Dell'Accio, F. Di Tommaso  Bivariate ShepardBernoulli operators
arXiv.org ePrint archive 

2013  F. A. Costabile, F. Dell'Accio, F. Di Tommaso  Complementary Lidstone Interpolation on Scattered Data Sets
Numerical Algorithms 

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 

R. Caira, F. Dell'Accio, F. Di Tommaso  On the bivariate ShepardLidstone operators
Journal of Computational and Applied Mathematics 
Conferences and Workshops
2019  IMWorkshop 2019 on Signals, Images, and Approximationn
Bernried (Germany), 48 March 2019 Talk: Functional and derivative data interpolation by triangular Shepard operators 
Approssimazione Multivariata: Teoria e Applicazioni  AMTA2019
Napoli (Italy), 2426 January 2019 Talk: Optimalorder local quadratic interpolation and scattered data approximation 

2018  SIAM Conference on Imaging Science
Bologna (Italy), 58 June 2018 Talk: Hexagonal Shepard method for scattered data interpolation 
2017  Multivariate Approximation: Theory, Algorithms & Applications (MATAA 2017)
Torino (Italy), 2526 May 2017 Talk: Optimalorder Local Quadratic Interpolation and Scattered Data Approximation 
2016  NUMTA2016  Numerical Computations: Theory and Algorithms
Pizzo Calabro (Italy), 19 – 25 June 2016 Talk: Multinode rational operators for univariate interpolation 
International Conference on Multivariate Approximation
Schloss Rauischholzhausen (Germany), 31 March  5 April 2016 Invited Partecipant 

Miniworkshop Kernelbased methods and function approximation
Torino (Italy), 5th February 2016 Invited Speaker Talk: Multinode operators for Birkhoff interpolation 

2015  Numerical Modeling in Evolutionary Problems: perspectives and applications
Fisciano (Italy), 2627th October 2015 Poster: On the enhancement of the approximation order of the triangular Shepard method 
XX Congresso dell'Unione Matematica Italiana
Siena (Italy), 7th  12th September 2015 Talk: Su un miglioramento del metodo di Shepard triangolare 

NETNA2015 New Trends in Numerical Analysis  Theory, Methods, Algorithms and Applications
Falerna, Italy, Hotel Eurolido, June 1821, 2015 Poster: Bivariate ShepardBernoulli operators 

MASCOT2015  14th Meeting On Applied Scientific Computing And Tools
Rome (Italy), 9th June  12th June 2015 Talk: A new polynomial operator with only boundary data on the rectangle and applications 

2014  First Joint International Meeting RSMESCMSEMASIMAIUMI
Bilbao (Spain), 30th June  4th July 2014 Invited Speaker for the Special Session "Special Functions, Orthogonal Polynomials and Applications" Talk: Multinode inverse distance methods for function approximation 
8th International Conference CURVES and SURFACES
Paris, France, Arts & Mètiers ParisTech, June 1218, 2014 Talk: Enhancing the approximation order of local Shepard operators by HermiteBirkhoff polynomials 

2013  Workshop on Multivariate Approximation in honor of Prof. Len Bos 60th birthday
Verona, Department of Computer Science, 29th30th November 2013 
Dolomites Research Week on Approximation 2013
Alba di Canazei (TN), 8th13th September 2013 Poster: Multinode rational operators for Birkhoff interpolation 

25th Biennial Numerical Analysis Conference
Department of Mathematics and Statistics, University of Strathclyde, Glasgow (UK), 25th28th June 2013 Contribution at Minisymposia: Mathematics and Algorithms Related to Chebfun Talk: An extension of Shepard interpolation with quadratic approximation order 

2012  3rd Dolomites Workshop on Constructive Approximation and Applications
Alba di Canazei (TN), 9th14th September 2012 Talk: An extension of Shepard interpolation with quadratic approximation order 
International Workshop on New Trends in Subdivision and Related Applications
Department of Mathematics and Applications, University of MilanoBicocca, 4th7th September 2012 

2011  SC2011  International Conference in Scientific Computing
S. Margherita di Pula (CA), 10th14th October 2011 Talk: Complementary Lidstone interpolation on scattered data sets 
XIX Congresso dell'Unione Matematica Italiana
Bologne, 13th14th September 2011 Talk: On a combination of the Shepard operator with Hermite interpolation polynomials 

Dolomites Research Week on Approximation 2011
Alba di Canazei (TN), 5th9th September 2011 Poster: Enhancing the approximation order of Shepard operators by Hermite polynomials 

Consegna Premi INDAMSIMAI 2010 & Giornata di Studio "Prospettive di sviluppo della matematica applicata in Italia 2011"
Rome, 8th April 2011 Talk: On the bivariate ShepardLidstone operators 

2010  Dolomites Research Week on Approximation 2010
Alba di Canazei (TN), 6th9th September 2010 Talk: On the extension of the ShepardBernoulli operators to higher dimensions 
Teaching Activities
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:

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:


Academic Year 2013/2014  Adjunct Professor at the Department of Mathematics and Computer Science
University of Calabria Courses:

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 RendeCommenda 

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 20002006, MISURA 3.7 AZIONE 3.7.a POR – FSE CALABRIA 20072013 – 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 20002006, MISURA 3.7 AZIONE 3.7.a POR – FSE CALABRIA 20072013 – 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)
Sonia Stelitano  Schemi di suddivisione per il Geometric Design (A.A. 2016/2017  Francesco Dell'Accio corelatore) 
Master Degree Students (Laurea specialistica/magistrale in Matematica)
Sandra Primerano  Interpolazione trivariata di dati scattered: operatore di ShepardLidstone (A.A. 2016/2017  Francesco Dell'Accio corelatore) 
Stefania Serena Suriano  Interpolazione Trivariata di Dati Scattered: operatore di ShepardBernoulli (A.A. 2016/2017  Francesco Dell'Accio corelatore) 
Antonella Maiuolo  Su un miglioramento del metodo di Shepard triangolare (A.A. 2016/2017  Francesco Dell'Accio corelatore) 
Giusi Maiuolo  Il metodo di Shepard esagonale (A.A. 2016/2017  Francesco Dell'Accio corelatore) 
Vanessa Eugenia Curatolo  Ulteriori sviluppi sull'interpolazione baricentrica di FloaterHormann (A.A. 2015/2016  Francesco Dell'Accio corelatore) 