I am a member of ERCIM, European Research Consortium for Informatics and Mathematics

• The Structured Matrix Analysis Project


• AMaMeF (Advanced Mathematical Methods in Finance) project


• The Center for Modeling Integrated Metabolic Systems (MIMS)

D. Bertaccini, R. Sisto
Fast numerical solution of nonlinear nonlocal cochlear models,
Journal of Computational Physics 230 (2011) pp. 2575-2587 doi:10.1016/j.jcp.2010.12.035.
Tech Report version Full paper

(with R. Sisto, A. Moleti, T. Botti and C. Shera)
Distortion products and backward-traveling waves in nonlinear active models of the cochlea
J. Acoust. Soc. Am. 129 (5) 2011.

D. Bertaccini, R. H. Chan, S. Morigi, F. Sgallari
An Adaptive Norm Algorithm for Image Restoration
Scale Space and Variational Methods in Computer Vision
Lecture Notes in Computer Science, 2012, Volume 6667/2012, 194-205, DOI: 10.1007/978-3-642-24785-9_17 full paper

S. Bellavia, D. Bertaccini, B. Morini,
Quasi matrix free preconditioners in optimization and nonlinear least-squares.
In: American Institute of Physics Conference Proceedings 1281 AIP, vol. 2, p. 1036-1039, 2010.

D. Bertaccini, F. Sgallari
Updating preconditioners for nonlinear deblurring and denoising image restoration,
Applied Numerical Mathematics vol. 60, pp. 994-1006, 2010. full paper

(with R. Sisto, A. Moleti, N. Paternoster, T. Botti)
Different models of the active cochlea, and how to implement them in the state-space formalism,
Journal of Acoustical Society of America (JASA) 128, pp. 1191-1202, 2010. Full paper

S. Bellavia D. Bertaccini, and B. Morini
Nonsymmetric preconditioner updates in Newton-Krylov methods for nonlinear systems,
SIAM Journal on Scientific Computing Vol.33, No.5, 2011/2012. Accepted preprint version Journal version

D. Bertaccini, F. Sgallari
A flexible updating framework for preconditioners in PDE-based image restoration algorithms,
G. Kreiss et al. (eds.), Numerical Mathematics and Advanced Applications 2009, pp. 163--170, 2010.
DOI 10.1007/978-3-642-11795-4-3, Springer-Verlag Berlin Heidelberg. ISBN 978-3-642-11794-7.

(with A. Moleti, N. Paternoster, R. Sisto, F. Sanjust)
Otoacoustic emissions in time-domain solutions of nonlinear nonlocal cochlear models,
Journal of Acoustical Society of America (JASA) 126, pp. 2425-2436, 2009
selected by AIP for  V. J. Biol. Physics Res. (PHYSICAL STUDIES OF CELL MECHANICS section)
full paper

D. Bertaccini, S. Fanelli
"Computational and conditioning issues of a discrete model for cochlear sensorineural hypoacusia",
Applied Numerical Mathematics, vol. 59, pp. 1989-2001, 2009. full paper

D. Bertaccini, M. Benzi
Block Preconditioning of Real-Valued Iterative Algorithms for Complex Linear Systems,
(full paper) IMA J. Numer. Anal. 28, pp. 598-618, (2008)

D. Bertaccini, D. Calvetti
"Fast simulation of solid tumors thermal ablation treatments with a 3D reaction diffusion model",
(link Pubmed at NIH) J. Comp. Biol. Med., vol 37, pp.1173-1182, 2007.

D. Bertaccini, G. H. Golub and S. Serra-Capizzano
``Spectral analysis of a preconditioned iterative method for the convection-diffusion equation
SIAM J. Matr. Anal. Appl. 29-1, pp. 260--278, (full paper) 2007

S. Serra-Capizzano, D. Bertaccini, and G. Golub
How to deduce a proper eigenvalue cluster from a proper singular value cluster in the non-normal case
SIAM J. on Matrix Analysis and Applications Vol. 27-1, pp. 82-86, 2005 (full paper).

D. Bertaccini, Y. Wen and M. K. Ng
The Eigenvalues of Preconditioned Matrices for Linear Multistep Formulas in Boundary Value Form
Numerical Linear Algebra with Applications (final preprint) vol. 12, pp. 315–325, 2005.

D. Bertaccini, G. H. Golub, S. Serra-Capizzano and C. Tablino-Possio
``Preconditioned HSS methods for the solution of non-Hermitian positive definite linear systems and applications to the discrete convection-diffusion equation''
Numerische Mathematik vol.99-3, pp. 441--484, 2005 (full paper) and Stanford University report no. SCCM-02-11 (report)

D. Bertaccini,
Efficient preconditioning for sequences of parametric complex symmetric linear systems
ETNA, vol. 18, pp.49-64, (full paper) 2004

M. Benzi, D. Bertaccini,
Approximate inverse preconditioning for shifted linear systems
BIT, 43-2,  pp.231-244 (full paper) 2003

D. Bertaccini, Michael K. Ng
``Band-Toeplitz Preconditioned GMRES Iterations for time-dependent PDEs''
BIT, 43-5, pp.901-914. (full paper) 2003

D. Bertaccini, Michael K. Ng
``Skew and $\{\omega\}$-circulant matrices for the systems of evolutionary differential equations''
Calcolo, vol. 40-2, 2003, pp.71-90. (Full paper)

D. Bertaccini,
The spectrum of circulant-like preconditioners for some general linear multistep formulas for linear boundary value problems
SIAM J. Numerical Analysis, vol.40-5, 2002, pp.1798-1822 (final preprint) (full paper)

D. Bertaccini, M. K. Ng
The Convergence Rate of Block Preconditioned Systems Arising From LMF-Based ODE Codes
BIT 41-3, pp. 433-450 (final preprint) 2001

D. Bertaccini, M. K. Ng
``Skew-Circulant Preconditioners for Systems of LMF-Based ODE Codes''
Lecture Notes in Comp. Sci. 1988, 2001, pp. 93-101 (full paper)

D. Bertaccini,
Reliable preconditioned iterative linear solvers for some integrators
Numerical Linear Algebra 8-2, 2001, p.111-125 (full paper)

D. Bertaccini,
A circulant preconditioner for the systems of LMF-based ODE codes
SIAM J. Sci Comput. 22-3, 2000, pp. 767 - 786 (full paper)

D. Bertaccini,
P-circulant preconditioners and the systems of the ODE codes, in Iterative Methods in Scientific Computation IV
David R. Kincaid et al. (eds.), IMACS Series in Comp. and Appl. Math., IMACS, NJ, pp. 179-193, 1999