Curriculum Vitae et Studiorum
Education:
- February 1, 1995: Degree in Mathematics at the University of Basilicata (110/110).
Title of the thesis:``Sul Calcolo Numerico della Trasformata Finita di Hilbert".
Advisor: Professor Giuseppe Mastroianni.
- March 31, 2004: Fist Level Degree in Computer Sciences at the University of Basilicata
(110/110 cum laude). Title of the thesis:``Un Software per la
risoluzione approssimata di Equazioni Integrali di Fredholm".
Advisor: Professor Giuseppe Mastroianni.
- March 2, 2011: PhD in Mathematics, International Doctoral Seminar ``János Bolyai" at the University of Basilicata.
Title of the thesis:``Numerical methods for systems of integral equations".
Advisor: Professor Giuseppe Mastroianni.
Professional Experience:
Scholarship Holder at the
Department of Mathematics of the University of Basilicata
(grant of the National Research Center (C.N.R.)) in the period March 1, 1995 - February 14, 1996;
Laboratory Technician at the
Department of Mathematics of the University of Basilicata in the period September 1, 1997 - September 30, 2004;
Researcher at the Faculty of Sciences of the University of Basilicata since October 1, 2004.
Research Interests:
- Quadrature rules;
- Approximation of Integral Transforms;
- Polynomial approximation theory;
- Operator theory;
- Numerical treatment of singular integral equations;
- Numerical treatment of system of integral equations.
Grants:
- Polinomi ortogonali e loro applicazioni, ex 60% of the Italian Ministry of the University and Research, leader Professor G. Mastroianni (1996);
- Approximation Theory and its Applications, Hungarian--Italian intergovernmental S&T cooperation program (1996--97);
- Trattamento numerico di equazioni integrali e connessi problemi di quadratura ed
algebra lineare, ex 60% of the Italian Ministry of the University and Research, leader Professor G. Mastroianni (1999);
- Approssimazione e quadratura numerica in una o più dimensioni, GNIM project, leader Professor G. Mastroianni (2000--01);
- Trattamento numerico di equazioni integrali e di connessi problemi di algebra lineare, GNCS project, leader Professor G. Rodriguez (2001--02);
- Metodi Numerici per Equazioni Integrali, GNCS (INDAM) Project,leader Professor Giuseppe
Mastroianni (2003);
- Trattamento numerico di equazioni integrali singolari e connessi problemi di approssimazione e quadratura, GNCS project, leader Professor G. Mastroianni (2004);
- Trattamento numerico di equazioni integrali singolari e connessi problemi di approssimazione e algebra lineare, GNCS project, leader Professor G. Mastroianni (2005);
- Metodi numerici per l'algebra lineare strutturata e applicazioni, PRIN project, leader Professor D. Bini (2007--08).
- Equazioni integrali con struttura e sistemi lineari , PRIN project, leader Professor D. Bini (2010--11).
- Tecniche numeriche per problemi di propagazione di onde elastiche in multidomini,
GNCS project, leader A. Aimi (2011).
Organizing Activity:
- Member of the Organizing Committee of the ``6-th Conference in Functional Analysis and Approximation Theory",
which took place in Acquafredda di Maratea (Potenza, Italy) on September 24-30, 2009.
Refering Activity:
Invited Seminars:
- M.C. De Bonis, G. Mastroianni:Proprietà di mappa
di qualche Operatore Singolare, Department of Mathematics of
University of Lecce, Lecce, Italy, February 24-26, 2005.
Talks at Conferences:
- M.C. De Bonis, B. Della Vecchia, G. Mastroianni:
Approximation of the Weighted Hilbert Transform on the real
line, International Workshop on Approximation
Theory and Numerical Analysis, Vico Equense (Naples), Italy,
September 9-12, 1997.
- M.C. De Bonis, B. Della Vecchia, G. Mastroianni:
Approximation of the Hilbert Transform on the real axes using
Hermite zeros, International Congress on Computional and
Applied Mathematics, Leuven, Belgium, July 27-August 1, 1998.
- M.C. De Bonis, M.G. Russo: Approximation of the
Weighted Hilbert Transform, Workshop on Advanced Special
Functions and Applications, Melfi (Potenza), Italy, May 9-12, 1999.
- M.C. De Bonis, G. Mastroianni, M. Viggiano: Best
Approximation and Moduli of Smoothness on the semiaxis
, Functions, Series, Operators. Alexits Memorial Conference,
Budapest, Hungary, August 9-14, 1999.
- M.C. De Bonis, B. Della Vecchia, G. Mastroianni:
Best Approximation on the semiaxis and some applications
, Meeting on Approximation Theory and Numerical Analysis, Vico
Equense (Naples), Italy, August 31-September 1, 1999.
- M.C. De Bonis, B. Della Vecchia, G. Mastroianni:
Some Integration Rules on the real semiaxis, 2nd Workshop
on Advanced Special Functions and Integration Methods, Melfi
(Potenza), Italy, June 18-23, 2000.
- M.C. De Bonis, B. Della Vecchia, G. Mastroianni:
Approximation of the Hilbert Transform on the Real Semiaxis
using Laguerre zeros, Ninth International Congress on
Computational and Applied Mathematics, Leuven, Belgium,
July 17-21, 2000.
- M.C. De Bonis, G. Mastroianni: Numerical Problems in
the Evaluation of the Hilbert Transform, Workshop on
Quadrature and Numerical Methods for integral equations, Rifreddo
(Potenza), Italy, September 16-20, 2000.
- M.C. De Bonis, G. Mastroianni: Numerical Evaluation
of the Hilbert Transform on the real axes, Sixth
International Symposium on Orthogonal Polynomials, Special
Functions and Applications, Lido di Ostia (Rome), Italy, June 18-22, 2001.
- M.C. De Bonis, G. Mastroianni: Some simple
Quadrature Rules to evaluate the Hilbert Transform on the Real
Line, Meeting on Numerical Integration and its Complexity,
Oberwolfack, Germany, November 18-24, 2001.
- M.C. De Bonis, C. Frammartino, G. Mastroianni:
Numerical methods for some special Fredholm integral equations
on the Real line, Tenth International Congress on
Computational and Applied Mathematics, Leuven, Belgium,
July 22-26, 2002.
- M.C. De Bonis, M.C. Russo: Interpolation of
functions having inner singularity in [-1,1], IV Encuentro
Internacional de Aproximacion de la Universidad de Jaen, Ubeda,
Spain, June 13-16, 2003.
- M.C. De Bonis, G. Mastroianni: Nyström and
projection methods for CSIE on finite interval, IWOTA 2003,
Cagliari, Italy, June 24-27, 2003.
- M.C. De Bonis, G. Mastroianni: Projection methods
for CSIE on finite interval, Workshop on Applied Orthogonal
Systems, Constructive Approximation and Numerical Methods,
Kragujevac, Serbia, October 10, 2003.
- M.C. De Bonis, G. Mastroianni: Polynomial
approximation of the solutions of Cauchy Singular Integral
Equations, IV Encuentro Internacional de Aproximacion de la
Universidad de Jaen, Ubeda, Spain, June 9-14, 2004.
- M.C. De Bonis, G. Mastroianni: Numerical Methods for
CSIE in [-1,1], 5th International Conference on
Functional Analysis and Approximation Theory, Acquafredda di
Maratea (Potenza), Italy, June 16-23, 2004.
- M.C. De Bonis, G. Mastroianni: Un Metodo di
Nyström per sistemi di equazioni di Fredholm sulla semiretta
reale, Equazioni integrali: recenti sviluppi numerici e nuove
applicazioni, Parma, Italy, September 27-28, 2007.
- M.C. De Bonis, G. Mastroianni: Nyström Method
for systems of Fredholm integral equations on the real semiaxis, Approximation
& Computation, Conference dedicated to Prof. Gradimir V. Milovanovic on the occasion
of his 60-th anniversary, Nis, Serbia, August 25-29, 2008.
- M.C. De Bonis, C. Laurita, G. Mastroianni: Nyström Method for Fredholm integral
equations on bounded intervals via orthogonal polynomials, 4-th Workshop
Advanced Special Functions and solution of PDEs, Sabaudia, Italy, May 24-28, 2009.
- M.C. De Bonis, P. Pastore: Numerical treatment of integrals of highly oscillatory
functions, 6-th International Conference on Functional Analysis and Approximation Theory, Acquafredda di Maratea,
Italy, September 24-30, 2009.
- M.C. De Bonis: Quadrature Rules for high-oscillatory and periodic functions,
6-th International Conference on Functional Analysis and Approximation Theory, Acquafredda di Maratea,
Italy, September 24-30, 2009.
- M.C. De Bonis, C. Laurita: A Nyström Method for Cauchy Singular integral equations with
negative index, 6-th International Conference on Functional Analysis and Approximation Theory, Acquafredda di Maratea,
Italy, September 24-30, 2009.
- M.C. De Bonis, G. Mastroianni: Nyström Method for systems of Fredholm integral
equations on the real axis, Workshop on Advances and Trends in Integral Equations. Dedicated to the memory
of Siegfried Prössdorf, Chemnitz, Germany, October 5-9, 2009.
- M.C. De Bonis, G. Mastroianni: Numerical treatment of systems of Fredholm integral
equations on the real axis, Workshop on Integral Equations: recent numerical developments and new applications,
Parma, Italy, October 29-30, 2009.
- M.C. De Bonis, G. Mastroianni: A numerical method for systems of Fredholm integral
equations on the real line, Second International Conference on Numerical Analysis and Approximation Theory,
Cluj-Napoca, Romany, September 23--26, 2010.
- M.C. De Bonis, C. Laurita: A quadrature method for systems of Cauchy singular integral equations,
Second International Conference on Numerical Analysis and Approximation Theory,
Cluj-Napoca, Romany, September 23--26, 2010.
- M.C. De Bonis, G. Mastroianni, I. Notarangelo: Gaussian quadrature
rules with exponential weights in (-1,1),
Second International Conference on Numerical Analysis and Approximation Theory,
Cluj-Napoca, Romany, September 23--26, 2010.
- M.C. De Bonis, C. Laurita: Numerical treatment of systems of Cauchy
singular integral equations, Workshop on Functional Analysis and Operator Theory,
Dedicated to Bernd Silbermann on his 70th birthday, Altenberg, Germany, March 29-April 1, 2011.
