Nicola

Guglielmi

Researcher (Univ. L'Aquila)

Area: Numerical analysis

e-mail

Tel. *39-040-676-2609 - Fax *39-040-676-2636

versione italiana

Work areas

1. Stability of numerical methods for delay differential equations.
2. Computation of the joint spectral radius of a family of matrices.

Journal Publications

1. N. Guglielmi, R. Guerrieri, G. Baccarani, Highly-Constrained Neural Networks for Industrial Quality Control , IEEE Transactions on Neural Networks, 7 (1996), 206--213.
2. N. Guglielmi, Inexact Newton methods for the steady-state analysis of nonlinear circuits, Mathematical Models and Methods in Applied Scences, 6 (1996), 43--57.
3. N. Guglielmi, A. Montanari, Projection pursuit e indici di proiezione: un' analisi di tipo euristico, Statistica, (1996).
4. N. Guglielmi, On the asymptotic stability properties of Runge-Kutta methods for delay differential equations, Numerische Mathematik, 77(4) (1997), 467--485.
5. A.Bellen, N. Guglielmi and L. Torelli, Asymptotic stability properties of Theta-methods for the pantograph equation, Applied Numerical Mathematics, 24 (1997), 279--293.
6. N. Guglielmi, Delay dependent stability regions of Theta-methods for delay differential equations, IMA Journal of Numerical Analysis, 18 (1998), 399--418.
7. 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.
8. 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), 212--216.
9. N. Guglielmi and E. Hairer, Order stars and stability for delay differential equations , Numerische Mathematik, 83(3) (1999), 371--383.
10. 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

1. N. Guglielmi, R. Guerrieri, M. Mastretta, L. de Vena, Highly-Constrained Neural Networks with Application to Visual Inspection of Machined Parts, Proceedings ICASSP-93 1 (1993), 629-632.
2. N. Guglielmi, R. Guerrieri, An experimental comparison of Software Methodologies for Image Based Quality Control, Proceedings IECON-94 3 (1994), 1942-1945.
3. A. Montanari, N. Guglielmi, Exploratory Projection Pursuit maximizing departure from Unimodality, Atti SIS-94 (1994).
4. A. Benedetti, N. Guglielmi, Tracing characteristics of smooth nonlinear resistive circuits by interval analysis, Proceedings ISCAS-96 (1996).

Pre-prints

1. N. Guglielmi, Delay Dependent Stability Regions of Numerical Methods for Delay Differential Equations , Quaderno Matematico n.356, Università di Trieste, (1995).
2. 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).
3. N. Guglielmi and M. Zennaro, On the asymptotic properties of a family of matrices , Quaderno Matematico n.447, Università di Trieste, (1999).
4. N. Guglielmi and M. Zennaro, On the zero-stability of variable stepsize multistep methods: the spectral radius approach , Quaderno Matematico n.452, Università di Trieste, (1999).
5. N. Guglielmi and E. Hairer, Geometric proofs of numerical stability for delay equations , IMA Journal of Numerical Analysis, submitted, (1999).

Contributes to volumes

1. N. Guglielmi, R. Guerrieri and G. Baccarani, Neural networks techniques for the optical inspection of machined parts and Figures. in press on: Computer-Aided Design, Engineering and Manufacturing (CADEM) Systems Techniques and Applications by C. T. Leondes (editor), (2000)

• RETARD Extension of the code DOPRI5 to delay differential equations y'(t)=f(t,y(t),y(t-a),...)
• DR_RETARD Driver for RETARD

• 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 differential-algebraic 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 state-dependent delays tending to zero, discontinuities in the right-hand side of the equations.

Courses

1. Numerical analysis: Diploma in Production Engineering.
Teaching assistant for:
1. Mathematical Methods for Engineers: Diploma in Automatical Engineering
2. Numerical analysis: Diploma in Automatical Engineering

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