
Nicola

Guglielmi

Researcher (Univ. L'Aquila)

Area: Numerical analysis


Tel. *390406762609  Fax *390406762636
versione italiana
New webpage
Group of computational mathematics
Research Activity
Work areas
 Stability of numerical methods for delay differential equations.
 Computation of the joint spectral radius of a family of matrices.
Journal Publications
 N. Guglielmi, R. Guerrieri, G. Baccarani,
HighlyConstrained Neural Networks for Industrial Quality Control ,
IEEE Transactions on Neural Networks, 7 (1996), 206213.
 N. Guglielmi,
Inexact Newton methods for the steadystate analysis of nonlinear
circuits, Mathematical Models and Methods in Applied Scences,
6 (1996), 4357.
 N. Guglielmi, A. Montanari,
Projection pursuit e indici di proiezione: un' analisi di
tipo euristico,
Statistica, (1996).
 N. Guglielmi,
On the asymptotic stability properties of RungeKutta methods
for delay differential equations, Numerische Mathematik,
77(4) (1997), 467485.
 A.Bellen, N. Guglielmi and L. Torelli,
Asymptotic stability properties of Thetamethods for the pantograph
equation, Applied Numerical Mathematics,
24 (1997), 279293.
 N. Guglielmi,
Delay dependent stability regions of Thetamethods for delay
differential equations, IMA Journal of Numerical Analysis,
18 (1998), 399418.
 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), 124.
 A. Bellen, N. Guglielmi and A. Ruehli,
On a class of stable methods for linear systems of delay
differential equations of neutral type,
IEEE Transactions on Circuits and Systems,
46 (1999), 212216.
 N. Guglielmi and E. Hairer,
Order stars and stability for delay differential equations
,
Numerische Mathematik,
83(3) (1999), 371383.
 A. Bellen, N. Guglielmi and M. Zennaro,
Numerical stability of nonlinear delay differential equations
of neutral type
,
Journal of Computational and Applied Mathematics, to appear, (2000).
Publications on Proceedings
 N. Guglielmi, R. Guerrieri, M. Mastretta, L. de Vena,
HighlyConstrained Neural Networks with Application to Visual
Inspection of Machined Parts,
Proceedings ICASSP93 1 (1993), 629632.
 N. Guglielmi, R. Guerrieri,
An experimental comparison of Software Methodologies for
Image Based Quality Control,
Proceedings IECON94 3 (1994), 19421945.
 A. Montanari, N. Guglielmi,
Exploratory Projection Pursuit maximizing departure from
Unimodality,
Atti SIS94 (1994).
 A. Benedetti, N. Guglielmi,
Tracing characteristics of smooth nonlinear resistive circuits
by interval analysis,
Proceedings ISCAS96 (1996).
Preprints
 N. Guglielmi,
Delay Dependent Stability Regions of
Numerical Methods for Delay Differential Equations ,
Quaderno Matematico n.356, Università di Trieste, (1995).
 N. Guglielmi,
On the asymptotic stability of one step collocation at Gaussian
points for delay differential equations,
Quaderno Matematico n.422, Università di Trieste, (1998).
 N. Guglielmi and M. Zennaro,
On the asymptotic properties of a family of matrices
,
Quaderno Matematico n.447, Università di Trieste, (1999).
 N. Guglielmi and M. Zennaro,
On the zerostability of variable stepsize multistep methods:
the spectral radius approach
,
Quaderno Matematico n.452, Università di Trieste, (1999).
 N. Guglielmi and E. Hairer,
Geometric proofs of numerical stability for delay equations
,
IMA Journal of Numerical Analysis, submitted, (1999).
Contributes to volumes
 N. Guglielmi, R. Guerrieri and G. Baccarani,
Neural networks techniques for the optical inspection of
machined parts
and
Figures.
in press on:
ComputerAided Design, Engineering and Manufacturing (CADEM) Systems
Techniques and Applications by C. T. Leondes (editor), (2000)
Fortran Codes
Delay Differential Equations
For nonstiff problems
 RETARD
Extension of the code DOPRI5 to delay differential
equations y'(t)=f(t,y(t),y(ta),...)
 DR_RETARD
Driver for RETARD
For stiff problems, including differentialalgebraic and neutral
delay equations with constant or statedependent (eventually
vanishing) delay.
 the tar file radar5.tar
contains a directory with the Fortran 90 code RADAR5, the necessary linear algebra
routines, and subdirectories for the following seven examples. For
unfoling the directory use the command tar xvf radar5.tar
 ENZYME kinetics with an inhibitor molecule, dimension 4,
one constant delay;
 HAYASHI an almost singular state dependent neutral problem,
dimension 2 as differentialalgebraic problem, one vanishing delay;
 HEPATITIS acute hepatitis B virus infection, dimension 10,
5 constant delays;
 OREGONATOR chemical kinetics, dimension 2, one constant delay;
 ROBERTSON chemical reaction with steady state solution, dimension 3,
one constant delay, very large time interval (step sizes larger than the delay);
 SDISC, non smooth artificial problem, dimension 1, 1 constant delay;
 WALTMAN, threshold model for antibody production, dimension 6,
2 statedependent delays tending to zero,
discontinuities in the righthand side of
the equations.
Class
Activities
Courses
 Numerical analysis:
Diploma in Production Engineering.
Teaching assistant for:
 Mathematical Methods for Engineers:
Diploma in Automatical Engineering
 Numerical analysis:
Diploma in Automatical Engineering