Curriculum Vitae


Degrees

- Ph.D. in "Computational Mathematics'', 08-02-1999, University of Padua, with the thesis "Constructive and Numerical Analysis for a class of Hammerstein equations arising in transport theory'' [PS].

- B.Sc in "Mathematics'', 1993, University of Padua, with the thesis "A numerical method for a class of fixed point equations''.


Positions held

- Research Fellowship: "Numerical analysis of integral and differential models of applied sciences'' University of Padua (1999-2002).

- Post-Doc Fellowship: "Fast methods for integral equations'', Department of Pure and Applied Mathematics, University of Padua (2002-2004).

- Research Associate: School of Mathematics, University of New South Wales (Australia) (September 2004-December 2005).

- Lecturer (Assistant Professor) in Numerical Analysis: University of Padua (March 2006-).


Seminars

- "Numerical approximation of fixed-points of decreasing operators'', Department of Mathematics and Computer Science, University of Udine, May 1999.

- "Numerical solution of a class of quadratic integral equations arising in transport theory'', Department of Pure and Applied Mathematics, University of Padua, March 2000.


Research Activity

During the Ph.D., his research activity has been focused on studying a family of quadratic integral equations arising in transport theory, including the Chandrasekhar H-equation and a pure integral instance of the Boltzmann equation. The main result consists in proving constructively the existence and uniqueness of a positive solution (extending some previous results on decreasing operators, see [1], [2], [3], [4], [5], [7]) and the global convergence of SOR methods [4] . From the point of view of numerical analysis, it has been shown the effectiveness of these choice, with respect to Newton and Broyden methods.
Afterwards, he studied fast solvers for nonlinear integral equations by approximating the action of the nonlinear operator (and not the kernel) by Chebyshev series [8]. Numerical experiments show good speed-ups (ranging between 10 and 40) with respect to a basic Nystrom-Broyden solver [9]-[10].
Furthermore he worked on problems about integration on the surface of a sphere [12] and some Galerkin methods for semilinear elliptic equations [13], integration by RBF and cubature on polygonal domains (see [14]-[19]).
Recently he is working on Padua Points, approximate Fekete points on general 2D domains, quadrature and cubature over curvilinear bivariate domains.
He also worked on other research subject, as fast summation of power series [8], bivariate approximation via Chebyshev series [11] and some dissipativity results in C* - algebras [6].


Referee Activity

Numerische Mathematik, IMA Journal Numerical Analysis, Journal of Integral Equations and Applications, Electronic Transactions in Numerical Analysis, Computing, Applied Numerical Mathematics, Numerical Algorithms, Journal of Computational and Applied Mathematics.


Contributions in Conferences

- "Numerical approximation of decreasing integral operators'', Montecatini Terme (Italy), 1998;

- "Relaxed nonlinear solvers for discrete Hammerstein equations arising in transport theory'', Venice (Italy), 1998;

- "Computing fixed points of decreasing operators by relaxed iterations'' (with M.Vianello), Kiel (Germany), 1998.

- "A Nystrom-Fejer-Picard solver for nonlinear integral equations in transport theory'' (with M.Vianello and E.Facchinello), Naples (Italy), 1999.

- "Chebyshev-like compression of discrete integral operators'', International Congress on Computational and Applied Mathematics, Leuven (Belgium), 2000.

- "A fast Nystromm-Broyden solver by Chebyshev compression'' (with S. De Marchi and M. Vianello), Huddersfield (GB), 2001.

- "Adaptive bivariate Chebyshev approximation and efficient evaluation of integral operators'' (with A. Mardegan, M. Vianello and R. Zanovello), "NAcOM 2003", Cambridge (GB), May 2003, p.123-128. [PDF]

- "Integration over the sphere'' (with K. Atkinson), "Approximation and Harmonic Analysis", Auckland (New Zealand), 8-11 February 2005. [PDF]

- "Constructing cubature formulas from scattered data by RBF'' (with M. Vianello), "Recent progress in Spline and Wavelet approximation", Rome (I), June 14-16, 2006. [PDF]

- "Computing Fekete and Lebesgue points: simplex, square, disk", S. Margherita di Pula (I), October 9-14, 2011. [PDF]


Conferences/Workshops organization

- DWCAA 2006

- DRWA 2007

- DWCAA 2009

- DRWA 2010

- DRWA 2011

- DWCAA 2012


Teaching experience

- "Mathematical Analysis II'' (with L. Finesso), Degree in Electronical Engineering, University of Padua (1999)

- "Numerical Analysis and Computer Programming'' (with M. Vianello), Degree in Chemistry and Industrial Chemistry, University of Padua (1999).

- "Computer Programming I'' (with S. Dulli), Degree in Statistics and Computer Science, University of Padua (1999).

- "Introduction to Matlab'' (with R. Zanovello), Degree in Statistics, University of Padua (2000-2001).

- "Numerical Analysis'' (with R. Vermiglio), Degree in Mathematics, University of Udine (2002).

- "Numerical Analysis'' (with R. Vermiglio), Degree in Computer Science, University of Udine (2002).

- "Integral Equations'' (with M. Lanza), Ph. D. Students in Pure and Applied Mathematics, University of Padua (2004).

- "Introduction to Numerical Analysis'' (with M. Vianello), Teaching Mathematics, University of Padua (2006).

- "Numerical Analysis'' (with F. Marcuzzi and M. Vianello), Degree in Computer Science, University of Padua (2006).

- "Numerical Analysis II'' (with M. Vianello), Degree in Computer Science, University of Padua (2006).

- "Numerical Analysis'' (with M. Vianello), Degree in Mathematics, University of Padua (2007).

- "Numerical Analysis and Computer Programming'', Degree in Science of Materials, University of Padua, (2007);

- "Numerical Analysis II'' (with M. Vianello and R. Zanovello), Degree in Mathematics, University of Padua (2007).

- "Numerical Analysis'' (with F. Marcuzzi and M. Vianello), Degree in Computer Science, University of Padua (2007).

- "Numerical Analysis'' (with M. Vianello), Degree in Mathematics, University of Padua (Nov. 2007).

- "Numerical Analysis II'' (with M. Vianello and R. Zanovello), Degree in Mathematics, University of Padua (2008).

- "Numerical Analysis'' (M. Vianello), Degree in Computer Science, University of Padua (2008).

- "Numerical Analysis'' (with M. Venturin and M. Vianello), Degree in Mathematics, University of Padua (Nov. 2008).

- "Numerical Analysis II'' (with M.Vianello), Degree in Mathematics and Degree in Computer Science, University of Padua (2009).

- "Numerical Analysis II'' (with M.Vianello), Degree in Mathematics and Degree in Computer Science, University of Padua (2010).

- "Numerical Analysis I" Degree in Astronomy, University of Padua (Oct.2011-Jan.2012, A.A. 2011-2012).