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 twodimensional 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 

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 

F. Dell'Accio, F. Di Tommaso, A. Guessab, F. Nudo  A unified enrichment approach of the standard threenode triangular element polynomial elements,
Applied Numerical Mathematics, 187: 123 

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: 446460 

2022  F. Dell'Accio, F. Di Tommaso,E. Francomano, F. Nudo  An adaptive algorithm for determining the optimal degree of regression in constrained mockChebyshev least squares quadrature,
Dolomites Research Notes on Approximation, 15 (4): 3544 
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): 8191 

F. Dell'Accio, F. Di Tommaso, F. Nudo  Constrained mockChebyshev least squares quadrature,
Applied Mathematics Letters, 134: 108328 

F. Dell'Accio, F. Di Tommaso, G. Ala, E. Francomano  Electric Scalar Potential Estimations for NonInvasive Brain Activity Detection Through Multinode Shepard Method,
MELECON 2022  IEEE Mediterranean Electrotechnical Conference, Proceedings, 2022, pp. 1264–1268 

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 NetworkBased Processing, PDP 2022: 234–237 

F. Dell'Accio, F. Di Tommaso, F. Nudo  Generalizations of the constrained mockChebyshev least squares in two variables: tensor product vs total degree polynomial interpolation,
Applied Mathematics Letters, 125: 107732 

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 

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 

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 dDimensional Simplex,
Mediterranean Journal of Mathematics, 17: 142 
F. Dell'Accio, F. Di Tommaso, O. Nouisser, N. Siar  Rational Hermite interpolation on sixtuples 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. 4755. Springer, Cham doi: https://doi.org/10.1007/9783030390815_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. 3546. Springer, Cham doi: https://doi.org/10.1007/9783030390815_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. 2734. Springer, Cham doi: https://doi.org/10.1007/9783030390815_4 

F. Dell'Accio, F. Di Tommaso  On the hexagonal Shepard method,
Applied Numerical Mathematics, 150: 5164, 2020 

2019  F. Dell'Accio, F. Di Tommaso  Rate of convergence of multinode Shepard operators
Dolomites Research Notes on Approximation, 12 (1): 16, 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: 457470, 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: 7891, 2018 
F. A. Costabile, F. Di Tommaso, E. Longo  A mixed LagrangeBernoulli tensor product expansion on the rectangle with applications
Mathematics and Computers in Simulation, 147: 7389, 2019 

F. Dell'Accio, F. Di Tommaso, K. Hormann  Reconstruction of a function from Hermite–Birkhoff data
Applied Mathematics and Computation, 318: 5169, 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 1820, 2015
Mathematics and Computers in Simulation 
F. Dell'Accio, F. Di Tommaso  Bivariate ShepardBernoulli operators
Mathematics and Computers in Simulation, 141: 6582, 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: 3244, 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 HermiteBirkhoff interpolation on scattered data by combined Shepard operators
Journal of Computational and Applied Mathematics, 300: 192206, 2016 

F. Dell'Accio, F. Di Tommaso, K. Hormann  On the approximation order of triangular Shepard interpolation
IMA Journal of Numerical Analysis, 36 (1): 359379, 2016 

2014  F. Dell'Accio, F. Di Tommaso  Bivariate ShepardBernoulli operators
arXiv.org ePrint archive: arXiv:1406.5962 
2013  F. A. Costabile, F. Dell'Accio, F. Di Tommaso  Complementary Lidstone Interpolation on Scattered Data Sets
Numerical Algorithms, 67: 157180, 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): 36413655, 2012 
R. Caira, F. Dell'Accio, F. Di Tommaso  On the bivariate ShepardLidstone operators
Journal of Computational and Applied Mathematics, 236 (7): 16911707 
Conferences, Workshops and Seminars
2023  International Conference on Approximation Theory and Applications
Cetraro, June 1822, 2023 
NUMTA2023  Numerical Computations: Theory and Algorithms
Pizzo Calabro, June 1420, 2023 

ATMA2023  Approximation: Theory, Methods and Applications
Padova, January 1820, 2023 

2022  Functional Analysis, Approximation Theory and Numerical Analysis  FAATNA20>22
Matera, July 0508, 2022 Invited Speaker 
Convegno e Assemblea GNCS 2022
Montecatini Terme, June 2729, 2022 

The 21st IEEE Mediterranean Electrotechnical Conference  MELECON2022
Palermo, June 1416, 2022 Invited Speaker 

Software for Approximation (SA2022)
Torino (Hybrid Workshop), February 34, 2022 Invited Speaker 

2021  ATMA2021  Approximation: Theory, Methods and Applications
Reggio Calabria, November 1012, 2021 CoOrganizer (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 610, 2021 CoOrganizer (with A. De Rossi) of the Poster Session 

SIMAI 2020+2021
Parma, August, 30  September 3, 2021 CoOrganizer (with R. Cavoretto, W. Erb, I. Notarangelo) of the Minisymposium "New Trends and Applications in Approximation Theory" 

SIAM AN21  SIAM Annual meeting
Virtual Conference, July 1923, 2021 Invited Speaker for the Minisymposium "MS5 Inverse Distance WeightingPartition of Unity Methods and Applications" 

SIAM GS21  SIAM Conference on Mathematical & Computational Issued in the Geosciences
Virtual Conference (Originally scheduled in Milan, Italy) June 2124, 2021 Invited Speaker for the Minisymposium "MS66  Approximation in Geosciences: Theory and Numerics" 

OSNA^2  Online Seminars on Numerical Approximation and Applications (Second Edition)
April 09, 2021 

2020  MATA2020  Multivariate Approximation: Theory and Applications
Perugia (Italy), 1618 January 2020 
2019  XXI Congresso dell'Unione Matematica Italiana
Pavia (Italy), 0207 September 2019 
ICIAM2019  International Congress on Industrial and Applied Mathematics
Valencia (Spain), 1519 July 2019 

NUMTA2019  Numerical Computations: Theory and Algorithms
Le Castella  Isola Capo Rizzuto (Italy), 1521 June 2019 

IMWorkshop 2019 on Signals, Images, and Approximation
Bernried (Germany), 48 March 2019 

Approssimazione Multivariata: Teoria e Applicazioni  AMTA2019
Napoli (Italy), 2426 January 2019 

2018  SIAM Conference on Imaging Science
Bologna (Italy), 58 June 2018 
2017  Multivariate Approximation: Theory, Algorithms & Applications (MATAA 2017)
Torino (Italy), 2526 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 Kernelbased methods and function approximation
Torino (Italy), 5th February 2016 Invited Speaker 

2015  Numerical Modeling in Evolutionary Problems: perspectives and applications
Fisciano (Italy), 2627th 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 1821, 2015 

MASCOT2015  14th Meeting On Applied Scientific Computing And Tools
Rome (Italy), 9th June  12th June 2015 

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" 
8th International Conference CURVES and SURFACES
Paris, France, Arts & Mètiers ParisTech, June 1218, 2014 

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 

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 

2012  3rd Dolomites Workshop on Constructive Approximation and Applications
Alba di Canazei (TN), 9th14th September 2012 
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 
XIX Congresso dell'Unione Matematica Italiana
Bologne, 13th14th September 2011 

Dolomites Research Week on Approximation 2011
Alba di Canazei (TN), 5th9th September 2011 

Consegna Premi INDAMSIMAI 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), 6th9th 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:

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)
Raffaella De Giorgio  Interpolazione in più variabili (A.A. 2019/2020  Francesco Dell'Accio corelatore) 
Milena Torchia  BSpline e applicazioni (A.A. 2019/2020  Francesco Dell'Accio corelatore) 
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)
Dott. Federico Nudo  Il problema di interpolazione di Hermite per quintiche PH planari (A.A. 2019/2020  Francesco Dell'Accio corelatore) 
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 corelatore) 
Dott.ssa Sandra Primerano  Interpolazione trivariata di dati scattered: operatore di ShepardLidstone (A.A. 2016/2017  Francesco Dell'Accio corelatore) 
Dott.ssa Stefania Serena Suriano  Interpolazione Trivariata di Dati Scattered: operatore di ShepardBernoulli (A.A. 2016/2017  Francesco Dell'Accio corelatore) 
Dott.ssa Antonella Maiuolo  Su un miglioramento del metodo di Shepard triangolare (A.A. 2016/2017  Francesco Dell'Accio corelatore) 
Dott.ssa Giusi Maiuolo  Il metodo di Shepard esagonale (A.A. 2016/2017  Francesco Dell'Accio corelatore) 
Dott.ssa Vanessa Eugenia Curatolo  Ulteriori sviluppi sull'interpolazione baricentrica di FloaterHormann (A.A. 2015/2016  Francesco Dell'Accio corelatore) 