Prof. Francesco Dell'Accio
Associate Professor
Coordinator of Degree Programs in Mathematics
Department of Mathematics and Computer Science  University of Calabria
Via Pietro Bucci, cubo 30/A
87036 Rende (CS)  Italy
Phone: +39 0984 496490
Fax: +39 0984 496484
Email: francesco.dellaccio@unical.it
Curriculum Vitae
Research
My primary research interest is in theory of approximation. In particular I have been working on
 Mixed polynomial interpolation and regression.
 Scattered data approximation and interpolation.
 Polynomial approximation of smooth functions by means of boundary values.
 Boundary type quadrature formulas.
I collaborated in researches on applications of Mathematics and in particular on
 Physics of Fluvial Networks.
 Statistical Analysis of Non Linear Processes.
During my Ph.D. studies at the Steklov Mathematical Institute I worked on Complex Analysis and in particular on
 Topological approaches to Jacobian Conjecture.
Editorial Activity
 Editor of Dolomites Research Notes on Approximation
 Guest Editor of Journal of Computational and Applied Mathematics for an issue dedicated to Proceedings of the Numerical Analysis Conference 2005, University of Calabria, Italy, 1921 May 2005
Research Supervision
 Filomena Di Tommaso, 20102013.
Learned Societies
 American Mathematical Society.
 European Mathematical Society.
 Society for Industrial and Applied Mathematics.
 Gruppo Nazionale per il Calcolo Scientifico.
Publications
2017  F. Dell'Accio, F. Di Tommaso  Bivariate ShepardBernoulli operators
Mathematics and Computers in Simulation 
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 
2017  F. Dell'Accio, F. Di Tommaso, K. Hormann  Reconstruction of a function from Hermite–Birkhoff data
Applied Mathematics and Computation 
2016  Yaroslav Sergeyev, Dmitri E. Kvasov, Dell'Accio F., Marat S. Mukhametzhanov  Preface: The 2nd International Conference “Numerical Computations: Theory and Algorithms” NUMTA–2016. AIP Conference Proceedings 1776, 010001 (2016); doi: 10.1063/1.4965306.
http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4965306 
2016  Dell'Accio F., Di Tommaso F., Kai Hormann  Multinode rational operators for univariate interpolation. AIP Conference Proceedings 1776, 070010 (2016); doi: 10.1063/1.4965356.
http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4965356 
2016  Dell'Accio F., Di Tommaso F., Kai Hormann  On the enhancement of the approximation order of triangular Shepard method. AIP Conference Proceedings 1776, 070009 (2016); doi: 10.1063/1.4965355.
http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4965355 
2016  Dell'Accio F., Di Tommaso F.  Scattered data interpolation by Shepard’s like methods: classical results and recent advances. Dolomites Research Notes on Approximation.
Proceedings of Kernelbased Methods and Function Approximation 2016, Volume 9, 2016, Pages 32–44.
http://www.emis.de/journals/DRNA/52.html 
2016  De Bartolo S., Dell’Accio F., Frandina G., Moretti G., Orlandini S., Veltri M.  Relation between grid, channel, and Peano networks in highresolution digital elevation models. Water Resources Research Vol. 52, Issue 5, May 2016, Pages 35273546.
http://onlinelibrary.wiley.com/doi/10.1002/2015WR018076/abstract 
2015  Dell'Accio F., Di Tommaso F.  Bivariate ShepardBernoulli operators, submitted (2015). 
2015  Dell'Accio F., Guzzardi L.  A tensor extension of the bisection method, submitted (2015). 
2015  De Marchi S. Dell'Accio F., Mazza M.  On the constrained mockChebyshev leastsquares, Journal of Computational and Applied Mathematics 280 (2015) 94–109.
http://www.sciencedirect.com/science/article/pii/S0377042714005111 
2015  Dell'Accio F., Di Tommaso F., Hormann K.  On the approximation order of triangular Shepard interpolation, IMA J Numer Anal 36 (2015) 359379.
http://imajna.oxfordjournals.org/content/36/1/359 
2013  Costabile F.A., Dell'Accio F., Di Tommaso F.  Complementary Lidstone interpolation on scattered data sets. Numerical Algorithms, 64 (2013) 157180.
http://link.springer.com/article/10.1007/s1107501296596 
2012  Caira R., Dell'Accio F., Di Tommaso F.  On the bivariate Shepard–Lidstone operators. Journal of Computational and Applied Mathematics, 236 (2012) 16911707.
http://www.sciencedirect.com/science/article/pii/S0377042711005322 
2012  Costabile F.A., Dell'Accio F., Di Tommaso F.  Enhancing the approximation order of local Shepard operators by Hermite polynomials. Computers & Mathematics with Applications, 64 (2012) 36413655.
http://www.sciencedirect.com/science/article/pii/S0898122112006050 
2011  Costabile F. A., Dell'Accio F., Guzzardi L.  The numerical calculation of topological turning points. International Journal of Computer Mathematics, 88 (2011) 30693085.
http://www.tandfonline.com/doi/abs/10.1080/00207160.2011.580342?tab=permissions&scroll=top 
2011  Costanzo G. D., Dell'Accio F., Trombetta G.  Prediction of an Industrial Kneading Process via the Adjustment Curve. In S. Ingrassia et al. (eds.), New Perspectives in Statistical Modeling and Data Analysis, Berlin: SpringerVerlag, 2011, pp. 347356.
http://www.springer.com/in/book/9783642113628 
2010  Costanzo G. D., De Bartolo S., Dell'Accio F., Trombetta G.  Using Observed Functional Data to Simulate a Stochastic Process via a Random Multiplicative Cascade Model. In: Proceedings of COMPSTAT'2010. Paris, August 2227, 2010, p. 453461.
http://link.springer.com/chapter/10.1007%2F9783790826043_44 
2009  De Bartolo S., Dell’Accio F.,Veltri M.  Approximations on the Peano river network: Application of the HortonStrahler hierarchy to the case of low connections, Physical Review E 79 (2009) 17
http://www.ncbi.nlm.nih.gov/pubmed/19391807 
2008  Costabile F. A., Dell'Accio F.  On the nonsingularity of a special class of centrosymmetric matrices arising in spectral methods in BVPs. Applied Mathematics and Computation, Volume 206, (2008) 991993
http://www.sciencedirect.com/science/article/pii/S0096300308006462 
2008  Costabile F. A., Dell'Accio F. , Guzzardi L.  New bivariate polynomial expansion with only boundary data on the simplex. Calcolo, 45 (2008) 177192.
http://link.springer.com/article/10.1007/s1009200801490 
2007  Costabile F. A., Dell'Accio F.  New embedded boundarytype quadrature formulas for the simplex. Numerical Algorithms, 45 (2007) 253267.
http://link.springer.com/article/10.1007/s1107500790880 
2007  Costabile F. A., Dell'Accio F., Gualtieri M. I. Edts.  Proceedings of the Numerical Analysis Conference 2005, University of Calabria, Italy, 1921 May 2005, Journal of Computational and Applied Mathematics Vol. 210 (2007).
http://www.sciencedirect.com/science/article/pii/S0377042706006418 
2007  Costabile F.A., Dell’Accio F.  Polynomial approximation of $C^M$ functions by means of boundary values and applications: A survey. Journal of Computational and Applied Mathematics, 210 (2007) 116135.
http://www.sciencedirect.com/science/article/pii/S0377042706006546 
2007  Caira R., Dell'Accio F.  ShepardBernoulli operators. Math. Comp. 76 (2007), no. 257, 299321 (electronic) MR2261023 Zbl 1106.41019
http://www.ams.org/journals/mcom/200776257/S0025571806018941/ 
2006  Costabile F.A., Dell'Accio F.; Gualtieri M. I.  A new approach to Bernoulli polynomials. Rend. Mat. Appl. (7) 26 (2006), no. 1, 112. MR2215831 (2007a:11023) Zbl 1105.11002
http://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2006(1)/112.pdf 
2005  Costabile F. A., Dell'Accio, F.  Lidstone approximation on the triangle. Appl. Numer. Math. 52 (2005), no. 4, 339361. MR2112864 (2005i:41042) Zbl 1064.65008
http://www.sciencedirect.com/science/article/pii/S0168927404001242 
2005  Costabile F. A., Dell'Accio F., Luceri R.  Explicit polynomial expansions of regular real functions by means of even order Bernoulli polynomials and boundary values. J. Comput. Appl. Math. 176 (2005), no. 1, 7790. MR2108103 (2005h:41008) Zbl 1058.65014
http://www.sciencedirect.com/science/article/pii/S0377042704003218 
2001  Costabile F. A., Dell'Accio F.  Expansions over a simplex of real functions by means of Bernoulli polynomials. In memory of W. Gross. Numer. Algorithms 28 (2001), no. 14, 6386. MR1887748 (2003b:41024) Zbl 0997.65012
http://link.springer.com/article/10.1023/A:1014074211736 
2001  Costabile F. A., Dell'Accio F.  Expansion over a rectangle of real functions in Bernoulli polynomials and applications. BIT 41 (2001), no. 3, 451464. MR1854267 (2002g:65015) Zbl 0989.65014
http://link.springer.com/article/10.1023/A:1021958910686 
2000  Costabile F. A., Dell'Accio F.  On the approximation of $C\sp M$functions by means of boundary values. Int. J. Appl. Math. 3 (2000), no. 1, 4761. MR1774085 Zbl 1067.41011
http://www.ams.org/mathscinet/search/publdoc.html?pg1=INDI&s1=602528&vfpref=html&r=20&mxpid=1774085 
1996  Dell'Accio F.  On the continuous extension of locally homeomorphic simplicial mappings of $R\sp 2$ into itself by $\sigma$processes. (Russian) Mat. Zametki 59 (1996), no. 6, 821831, 959; translation in Math. Notes 59 (1996), no. 56, 594600. MR1445468 (98i:57039) Zbl 0896.57001

1995  Dell'Accio F.  A counterexample to a conjecture associated with the Jacobian problem. (Russian) Mat. Zametki 58 (1995), no. 3, 452455; translation in Math. Notes 58 (1995), no. 34, 989992 (1996) MR1368554 (97b:58017) Zbl 0868.58012
