Researcher (Univ. L'Aquila)

Area: Numerical analysis


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

versione italiana

New web-page

Group of computational mathematics

Research Activity

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).


  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)

Fortran Codes

Delay Differential Equations
For nonstiff problems For stiff problems, including differential-algebraic and neutral delay equations with constant or state-dependent (eventually vanishing) delay.

Class Activities


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