Gabriele Inglese            



Istituto per le Applicazioni del Calcolo sezione di Firenze

Consiglio Nazionale delle Ricerche

Edificio F CNR

Via Madonna del Piano 10

50019 Sesto Fiorentino (FI)


Tel. +39 055 5225801

Fax +39 055 5225812



Main present research fields:


Mathematics of Active Infrared Thermography.

Stochastical methods for inverse problems in dynamics







Short Curriculum Vitae

I was born in Rome in 1958.

I got my degree in Mathematics at Università degli Studi LA SAPIENZA Roma (1981).  Clearly my dissertation was written in Italian. A translated title could be:   Stability estimates for one-dimensional non autonomous hamiltonian systems in presence of small divisors  (Adviser:  Giovanni Gallavotti).   After military service,  I got a fellowship from  Consiglio Nazionale delle Ricerche (1982) . In that period I worked under the supervision of Valter Franceschini  (Università di Modena).   Then I worked for two years as  IBM  System Engineer  in Milano.

In 1986 I got a permanent research position at  Istituto per le Applicazioni del Calcolo - CNR  section of  Firenze (former  Istituto di Analisi Globale ed Applicazioni). Here, my research deals mainly with inverse problems. From Mar 2002 to Feb 2004 I was in charge of  the Section.

My activity can be roughly subdivided in the following lines (numbers in square brackets refer to the list of publication below): (i) finite moment problems [3, 7, 9, 10, 12, 13, 14, 16, 18, 23]; (ii) ill conditioned matrices [2, 4, 5, 8] (iii) identification problems for elliptic and parabolic PDE (applications to non-destructive evaluation and inverse problems of dynamics) [17, 21, 22, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40] (iv) More: problems in mathematical-physics (dynamical systems [1] and rigorous perturbation theory in quantum mechanics [11, 15, 19, 20]) and  theory of codes [6]. Obviously there are interactions amongst these lines.








Preprints and copies of the papers can be requested directly to  

 [1] A five-mode truncation of the Navier-Stokes equations on a three-dimensional torus.  Coauthors: V. Franceschini and C. Tebaldi   Computational Mechanics 3, 19-37 (1988).

[2] Lower bounds for the condition number of the Vandermonde matrices.  Coauthor: W. Gautschi   Numersiche Mathematik  52, 241-250 (1988).

[3] Approximate solutions for a finite moment problem.  Calcolo 25, 234-248 (1988).

[4] Il condizionamento delle matrici di Vandermonde.   Pubblicazioni IAGA n.41 serie "Problemi non ben posti ed inversi" Firenze (1988).

[5] A relation between Hilbert and Vandermonde matrices.   Calcolo 27, 73-79 (1990).

[6] A remark on a result by A.Thue.    Coauthor: G.Pirillo   P.U.M.A. ser. A 1, 21-28 (1991).

[7] Recent results in the study of the moment problem    Proceedings del convegno "Model Optimization in exploration geophysiscs" sect. Basic Math, Berlino (1990).

[8] On the spectral condition of rectangular Vandermonde matrices.    Coauthor: D.Fasino   Calcolo 29, 291-300 (1992).

[9] A property of piecewise linear approximats in a finite moment problem.    Journal of Inverse and Ill-posed Problems 2, 77-84 (1994).

[10] A note about the discretization of finite moment problems.   Inverse Problems 10, 401-414 (1994).

[11] On the spectrum of the harmonic oscillator with a d-type perturbation.   Coauthor: S.Fassari    Helvetica Physica Acta 67, 650-659 (1994).

[12] A note about the minimum relative-entropy solutions of finite moment problems.    Numerical Functional Analysis and Optimization 16, 1143-1153 (1995).

[13] Finite moment problems: a survey on the basic theory and a physical example.    Quaderno DiMaDEFAS n.21 Firenze (1995).

[14] Finite moment problems: geometry of the data space and conditional maximum entropy solutions.   Journal of Inverse and Ill-posed Problems 3, 237-248 (1995).

[15] Spectroscopy of a three-dimensional isotropic harmonic oscillator with a d-type perturbation.  Coauthor:  S.Fassari     Helvetica Physica Acta 69, 130-140 (1996).

[16] Christoffel functions and finite moment problems. Inverse Problems 11, 949-960 (1995).

[17] Identification of the drift coefficient of a Fokker-Planck equation from the moment discretization of its stationary solution.   Applicable Analysis 62, 335-348 (1996).

[18] Recovering a probability density from a finite number of moments and local a priori information.   Coauthor: D.Fasino       Rendiconti dell'Istituto Matematico di Trieste 28, 184-200 (1996).

[19] On the eigenvalues of the Hamiltonian of the harmonic oscillator with the interaction lx2 / (1+g x2). (II)   Coauthor: S.Fassari       Reports on Mathematical Physics 39, 77-86 (1997).

[20] On the spectrum of the harmonic oscillator with a d-type perturbation (II).     Coauthor: S.Fassari       Helvetica Physica Acta 70, 858-865 (1997).

[21] An inverse problem in corrosion detection.  Inverse Problems 13, 977-994 (1997).

[22] Discrete methods in the study of an inverse problem for Laplace's equation.   Coauthor : D.Fasino    IMA Journal of Numerical Analysis 19, 105-118 (1999).

[23] Diffusion, moments and entropy.  Journal of Inverse and Ill-posed Problems 5, 129-138 (1997).

[24] A stochastic perturbation method for studying inverse problems in dynamics.   Applicable Analysis 64, 391-398 (1997).

[25] Stability estimates for a boundary identification problem in a thin domain.   Coauthor: D.Fasino     Proceedings of the Ninth International Colloquium on Differential Equations Plovdiv (Bulgaria 1998) 133-138 (1999).

[26] An inverse Robin problem for Laplace's equation: theoretical results and numerical methods.  Coauthor: D.Fasino         Inverse Problems 15, 41-48 (1999).

[27] Stability of the solution of an inverse problem for Laplace's equation in a thin strip.    Coauthor: D.Fasino  Numerical Functional Analysis and Optimization 22(5&6), 549-560 (2001).

[28] Recovering a vector field with the aid of controlled noise.  Journal of Inverse and Ill-posed Problems 10(2), 187-193 (2002).

[29] Fourier-Legendre approximation of a probability density from discrete data.  Journal of Computational and Applied Mathematics 154:1, 161-173 (2003).

[30] Heuristic methods for the reconstruction of two different corrosion parameters from incomplete boundary data in a thin rectangular domain.   Coauthor: D.Fasino (to appear in   Journal of Inverse and Ill-posed Problems  13(5) ) (2005)

[31] Corrosion detection in conducting boundaries.  Coauthor: F.Mariani  Inverse Problems  20,  1207-1215 (2004).

[32] Active infrared thermography in non-destructive evaluation of surface corrosion. Coauthors: P.Bison, D.Fasino.   Series on Advances in Mathematics for Applied Sciences Vol 69 -  Proceedings of the 7th SIMAI Conference – Venice 2004  (World Scientific: New Jersey), 143-154 (2005).

[33]  Recovering unknown terms in a nonlinear boundary condition for Laplace's equation.   Coauthor:  D.Fasino .   IMA J Appl Math  71:6,  832 – 852 (2006).

[34] Recovering nonlinear terms in an inverse boundary value problem  for Laplace's equation: A stability estimate. Coauthor: D.Fasino Journal of Computational and Applied Mathematics 198:2, 460-470 (2007).

[35] Corrosion detection in conducting boundaries: II. Linearization, stability and

discretization.   Coauthors: D. Fasino, F. Mariani

Inverse Problems 23, 1101-1114 (2007).

[36] Active infrared thermography in non-destructive evaluation of surface corrosion

II: heat exchange between specimen and environment.

Coauthors: P.Bison, M.Ceseri, D.Fasino. Series on Advances in Mathematics for Applied Sciences Vol 69 -  Selected contributions from  the 8th SIMAI Conference – Baia Samuele (Ragusa) 2006  (World Scientific: New Jersey), 161-171 (2007).


[37] Corrosion evaluation by IR thermography: a perturbative approach to the heat transfer inverse problem.

Coauthors: P.Bison, M.Ceseri, D.Fasino Advanced Infrared Technology and Applications  2007,  Marija Strojnik  Ed., 293-297, Leon, Mexico (2008).


[38]     Domain derivative approach to Active InfraRed Thermography

Coauthors: P.Bison, M.Ceseri, D.Fasino

Inverse Problems in Science and Engineering  18:7, 873-889 (2010)


[39]     Comparing Laplace and Helmholtz approaches to identify the rear-surface

profile of a plate by means of periodic thermal data

Coauthors: P.Bison, M.Ceseri

Journal of Modern Optics 57:18, 1752-1758 (2010).


[40]     Mapping corrosion of metallic slab by thermography

Coauthors: P.Bison, M.Ceseri

ICPPP15 Journal of Physics: Conference Series 214, 012073 (2010).

 [41        Detecting hidden defects on a thin metallic plate

               Coauthors: P.Bison, M.Ceseri

            10th International Conference on Quantitative InfraRed Thermography

               July 27-30, 2010, Québec (Canada) (2010).


[42]        Detecting hidden defects from real data

              Coauthors: P.Bison, F.Clarelli

              Proceedings QIRT2014  (online) Bordeaux (France)


[A43]    Thin Plate Approximation in Active Infrared Thermography

             Coauthor: F.Clarelli

             Inverse Problems In Science And Engineering Vol. 23 ( 6)  1072-1084  (2015)


[44]        Perturbations of the heat transfer coefficient due to surface damage

              Proceedings AITA  2015  (online)  Pisa.


[P45]     Thermography for Depth Profiling in cultural heritage

              Coauthors: P.Bison, F.Clarelli

               Proceedings AITA  2015  (online)  Pisa.


[A46]     Nondestructive evaluation of inaccessible surface damages by means of active   thermography.  Coauthor: R.Olmi

              Rend. Istit. Mat. Univ. Trieste Volume 48 (2016) (electronic preview)


[A47]      Reconstruction of a nonlinear heat transfer law from uncomplete boundary data by means of infrared thermography.  Coauthor: F.Clarelli 

Inverse Problems 32 115017 (14pp) (2016).