Alfredo Bellen
Dipartimento di  Matematica e Informatica
Universita' di Trieste
34100 TRIESTE

voice: (+39) 040 558 2608 
fax: (+39) 040 558 2636 
e-mail:   bellen@univ.trieste.it

 
English Version


Professore ordinario di  CALCOLO NUMERICO presso la Facolta' di Ingegneria  (orario di ricevimento: mercoledi 17-19) Uffico

Direttore del Gruppo Nazionale per Calcolo Scientifico (GNCS) dell'Istituto Nazionale di Alta Matematica ( INdAM)

Attivita' di ricerca: (GRUPPO ANALISI NUMERICA) Equazioni differenziali ordinarie e funzionali. Metodi numerici. Metodi
Runge-Kutta discreti e continui. Metodi di Waveform Relaxation.

Organizzazione Congressi, Workshops, Scuole
Scuola Estiva di Analisi Numerica, Dobbiaco 2000
Scuola Estiva di Analisi Numerica, Dobbiaco 2001
Scuola Estiva di Analisi Numerica, Dobbiaco 2002
Scuola Estiva di Analisi Numerica, Dobbiaco 2004
Scuola Estiva di Analisi Numerica, Dobbiaco 2005
Scuola Estiva di Analisi Numerica, Dobbiaco 2006
Scuola Estiva di Analisi Numerica, Dobbiaco 2008
Scuola Estiva di Analisi Numerica, Dobbiaco 2009

Minisimposio su "Sistemi lineari con ritardo; problemi di stabilita' e di controllo". In SIMAI2000
Minisimposio su "Equazioni Differenziali Funzionali. Metodi analitici e numerici per le applicazioni". In SIMAI2002
Minisimposio nel convegno IFAC "Linear Time Delay Systems" Ancona- 2000
Minisimposio nel convegno IFAC "Time Delay Systems" - Santa Fe- New Mexico, 2001
INdAM-NNSFC: "Third China-Italy Joint Conference on Computational and Applied Mathematics". Grado-Italy 17-19 Novembre 2003
Workshop "NA-Day". Trieste October 11, 2005.
NNSFC-INdAM: "Fourth China-Italy Joint conference on Mathematical models in Life Sciences. Theory and simulation". Beijing May 30-June 2,  2005 
Workshop: GRID@TRIESTE. Jan. 27 2006.

Minisimposio: "New Trends in Scientific computing" . In SIMAI2006. Baia Samuele, Ragusa 22-26  Maggio 2006.
Minisymposium on "Delay Differential Equations". SciCADE2007 St. Malo, June 2007
Minisymposium on  "Discontinuous Differential Equations". In the Conference on Scientific Computing. Geneva,  June 17-20, 2009
Minisymposium on  "Recent advances in the numerics of delay differential equations". In ICNAAM2009. Crete, Sept 18-22, 2009
NNSFC-INdAM: "Fifth China-Italy Joint conference on Mathematical models in Life Sciences. Theory and simulation". Rome, Nov. 9-11, 2009

Elenco Lavori Recenti
A.Bellen, L.Torelli: Diagonally Split Runge-Kutta methods. SIAM J. Num. Anal. 34 , no.2   (1997) 528-543 .
A.Bellen: Contractivity of continuous Runge-Kutta methods for delay differential equations. Appl. Numer. Math. 24,  (1997) 219-232.
A.Bellen, N. Guglielmi and L. Torelli, Asymptotic stability properties of Theta-methods for the pantograph equation, Applied Numerical  Mathematics, 24 (1997), 279--293.
A.Bellen, N. Guglielmi and A. Ruehli, On a class of stable methods for linear systems of delay differential equations of neutral type, (1998) . Technical Report IBM Watson Research Report, RC 21153.
A.Bellen, N. Guglielmi and M. Zennaro, On the contractivity and asymptotic stability of systems of delay differential equations of neutral type, BIT, 39 (1999), 1--24.
A.Bellen, N.Guglielmi, A. Ruehli: Methods for linear systems of circuit delay differential equations of neutral type. IEEE Transaction on Circuits and systems-I: Fundamental theory and applications. 46 n.1 (1999) 212-216.
A.Bellen, N. Guglielmi, M. Zennaro: Numerical stability of nonlinear delay differential equations of neutral type . J. Comp. Appl .Math 25 (2000) 251-263.
A.Bellen, S.Maset: Numerical solution of constant coefficient linear delay differential equations as abstract Cauchy problems. Numer. Mathem. (2000) 84: 351-374.
A.Bellen, S.Maset, L. Torelli: Contractive inizializing methods for the pantograph equation of neutral type. Recent Trends in Numerical Analysis 3 (2000), 35-41
A.Bellen: Preservation of superconvergence in the numerical integration of delay differential equations with proportional delay.  IMA J. Numerical Analysis, 22 ( 2002),  529-536
A.Bellen,M.Zennaro: A free-stepsize implementation of second order stable methods for neutral delay differential equations. IFAC   Journal Control Engineering Practice, 3rd IFAC Workshop on Time Delay systems , 2001.
A.Bellen,M.Zennaro: Adaptive integration of delay differential equations. Proceedings of the Workshop CNRS-NSF: Advances in Time Delay Systems , Paris, January 2003.
A.Bellen,H.Brunner,S.Maset,L.Torelli:  Superconvergence in collocation methods on quasi-graded meshes for functional differential equations with vanishing delays.. BIT, 2006, Vol. 46, pp. 229-247.
A. Bellen, N. Guglielmi, S. Maset: Numerical methods for delay models in biomathematics. In A. Quarteroni "Integration of complex systems in biomedicine" Springer 2006.
A. Bellen , N. Guglielmi , "Generalized numerical solutions of neutral delay differential equations with state-dependent delays".  J. Comp. Appl. Math.(2009) 229, 2, 336-350.
A. Bellen, N. Guglielmi, S. Maset, M Zennaro: Recent trends in the numerical solution of retarded functional differential equations. Acta Numerica (2009), pp 1-110. Cambridge University Press.
A. Bellen, S. Maset: Analysis of numerical integration for Time Delay Systems. In J.J.Loiseau et alias (eds): "Topics in Time Delay Systems Analysis, Algorithms, and Control" Springer 2009.


 Libri
A. Bellen, M.Zennaro: Numerical Methods for Delay Differential Equations. Oxford University Press,  2003. (Contents)
A. Bellen: Corso di Calcolo Numerico
A. Bellen: Corso di Analisi Numerica (gia' Calcolo Numerico Triennale).
A. Bellen: Corso di Metodi Matematici per l'Ingegneria Meccanica.
A. Bellen: Corso di Analisi Numerica II
.