Alfredo Bellen
Department of Mathematics and Informatics
University of Trieste
34100 TRIESTE

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

 
Italian Version


Full Professor of   CALCOLO NUMERICO. Engineering Faculty   Office

Head of GNCS (Gruppo Nazionale per Calcolo Scientifico) within INdAM (Istituto Nazionale di Alta Matematica)

Research Activity: (NUMERICAL ANALYSIS GROUP ) Ordinary and Delay Differential Equations. Numerical Methods. Runge-Kutta and Continuous Runge-Kutta Methods. Waveform Relaxation.

Organization of Conferences, Sessions, Workshops, Schools etc
Summer School of Numerical Analysis, Dobbiaco 2000
Summer School of Numerical Analysis, Dobbiaco 2001
Summer School of Numerical Analysis, Dobbiaco 2002
Summer School of Numerical Analysis, Dobbiaco 2004
Summer School of Numerical Analysis, Dobbiaco 2005
Summer School of Numerical Analysis, Dobbiaco 2006
Summer School of Numerical Analysis, Dobbiaco 2008
Summer School of Numerical Analysis, Dobbiaco 2009
Minisymposium on "Linear Delay Systems; Stability and Control". In SIMAI2000
Minisymposium on "Functional Differential Equations. Analytical and Numerical Methods for Applications". In SIMAI2002
Minisymposium on "Numerical Methods" at IFAC-Conference "Linear Time Delay Systems" Ancona-2000
Minisymposium on "Numerical Methods" at IFAC-Conference "Time Delay Systems" - Santa Fe, New Mexico, 2001
INdAM-NNSFC: "Third China-Italy Joint Conference on Computational and Applied Mathematics". Grado-Italy 17-19 November 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


Recent Publications
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.




Books
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 Calcolo Numerico D.U.
A. Bellen: Corso di Analisi Numerica