Logo Università degli Studi di Milano


Numerical Analysis and Scientific Computing  

The research unit focuses on the construction, theoretical analysis and implementation of numerical methods for partial differential equations and for mathematical models in applied sciences and scientific computing.


numerical methods for partial differential equations, finite elements, spectral elements, isogeometric analysis, mimetic discretizations, adaptive methods, phase transition problems, domain decomposition methods, computational electrocardiology, computational neuroscience, numerical methods for conservation laws ,numerical methods in image analysis, computational biology


L. Beirao da Veiga, D. Cho, L.F. Pavarino, S. Scacchi. Overlapping Schwarz methods for Isogeometric Analysis. SIAM J. Numer. Anal., 50 (3), 1394-1416, 2012.

F. Fierro, A. Veeser. A posteriori error estimators, gradient recovery by averaging, and superconvergence. Numer. Math. 103 (2), 267-298, 2006.

G. Aletti, P. Causin, G. Naldi, M. Semplice . A Multiscale Computational Model of Chemotactic Axon Guidance. In: Handbook of Research on Computational and Systems Biology : Interdisciplinary Applications (2011), ISBN: 978-1-60960-491-2

L. F. Pavarino, E. Zampieri. Implicit spectral element methods and Neumann-Neumann preconditioners for acoustic waves. Comp. Meth. Appl. Mech. Eng. 195/19-22 (2006) 2649-2673.

R. H. Nochetto, G. Savaré, C. Verdi. A posteriori error estimates for variable time-step discretizations of nonlinear evolution equations. Comm. Pure Appl. Math. 53 (5), 525-589, 2000.

Funded Projects related to the Research Theme

PRIN2008: Finite element methods: adaptivity and applications

PRIN2009: Domain decomposition methods for elliptic problems and reaction-diffusion systems

PRIN 2009, Advanced numerical methods for evolution equations and multiscale problems

FIRB2011: Isogeometric Methods

MAE, Italia-India 2012-2014: Cerebellum inspired approach for pattern classification in robots


Members from the Department of Mathematics
Lorenzo BEIRAO DA VEIGA                              info
Nicoletta BRESSAN   info
Paola CAUSIN   info
Francesca FIERRO   info
Giovanni NALDI   info
Luca PAVARINO   info
Simone SCACCHI   info
Andreas VEESER   info
Claudio VERDI   info
Elena ZAMPIERI   info
Back to top