Nicola Guglielmi                                                                     Versione italiana

Full Professor                                                                         Posts to students

Area: Numerical analysis                                                     (aggiornato il 6/1/18)

Gran Sasso Science Institute

e-mail nicola.guglielmi(at)

e-mail guglielm(at)

Tel. +39-0862-43-3136 - Fax +39-0862-43-3180

Curriculum vitae and publications CV


Postal address
Next visits and conferences
Research Activity
Editorial Activity
New PhD program at GSSI


Postal address
Dipartimento di Ingegneria Scienze Informatiche e Matematica 
Universita' degli Studi di L' Aquila
Via Vetoio - Loc. Coppito 

67010    L' AQUILA  - Italy

Next visits

From October 22 to October 26, 2018 I will visit Ernst Hairer at the University of Geneva (Geneve)

From November 26 to December 1, 2018 I will visit Christian Lubich at the Universitaet Tuebingen

From February 1 to February 28, 2019 I will visit Michael Overton at the Courant Institute (New York University)

Next conferences

Research Activity

Work areas


Main collaborations

Recent projects


INdAM  Workshop: Recent trends in delay differential equations: models, theory and numerics, June 2012, Scuola Normale Superiore, Cortona (15000 Euro) Prof. N. Guglielmi (Universita' dell'Aquila, Italy)
Fondazione Carispaq  High Performance Computation Cluster (20000 Euro) Prof. N. Guglielmi (Universita' dell'Aquila, Italy)
PRIN  Numerical methods for delay and fractional differential equations (17000 Euro / 67000 - whole project -) Prof. N. Guglielmi (Universita' dell'Aquila, Italy)
Internalizzazione  Systems with several preferred states: study of singular behavior due to lack of convexity (20000 Euro) Prof. G. Fusco (Universita' dell'Aquila, Italy)
MIUR/COFIN  Metodi numerici per equazioni differenziali funzionali Prof. M. Zennaro (Universita' di Trieste, Italy)
Intergruppo INdAM  Metodi numerici e software matematico per problemi di evoluzione Prof. M. Zennaro (Universita' di Trieste, Italy)
2004 Intergruppo INDAM  Integrazione di Sistemi Complessi in biomedicina: modelli, simulazione, rappresentazione Prof. A. Quarteroni (Politecnico di Milano, Itay)
2003 Nazionale GNCS  Problematiche di interfacciamento tra metodologie numeriche per equazioni differenziali ordinarie e equazioni alle derivate parziali Prof. M. Zennaro (Universita' di Trieste, Italy)
2003 Intergruppo INdAM Metodi e modelli matematici nella dinamica di popolazione Prof. M. Iannelli (Universita' di Trento, Italy)

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Editorial Activity

Fortran and Matlab Codes

Approximating the real structured distance to instability.

Approximating the real structured distance to defectivity.
  • The compressed folder contains a directory with the Matlab routines for approximating the distance from above.

Delay Differential Equations
For nonstiff problems
  • RETARD Extension of the code DOPRI5 to delay differential equations y'(t)=f(t,y(t),y(t-a),...)
  • DR_RETARD Driver for RETARD
For stiff problems, including differential-algebraic and neutral delay equations with constant or state-dependent (eventually vanishing) delay.
  • the tar file radar5-v2.1.tar contains a directory with the Fortran 90 code RADAR5, the necessary linear algebra routines, and subdirectories for the following eleven examples. For unfolding the directory use the command tar xvf radar5-v2.1.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;
  • PAUL, state-dependent artificial problem, various order discontinuities;
  • ELSNOR, problem with solution termination;
  • MODCEG, neutral problem with state dependent delays and termination
  • NEUTLOG, predator-pray neutral Gause-model.

Class Activities


New international PhD program

A new international PhD program is offered by the Gran Sasso Science Institute, an institute for advanced studies in Mathematics, Physics, Computer Science and Social Sciences

Look here a Video on GSSI


Some links

Some journals


How to reach L'Aquila

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