[Dottorcomp] informal seminar by Mariarosa Mazza

[Laura Spinolo]

Dear all,

the next speaker of the "very informal seminars" series is Mariarosa Mazza:
please find below the title and the abstract of her talk.

Mariarosa's seminar is scheduled for* Monday, March 27, 2pm*, and it will
take place in the *Conference Room* of *IMATI-CNR*.

Should you need any further information, please feel free to contact us.

Best regards,

Andrea, Laura and Lorenzo

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Title: Some numerical linear algebra considerations on fractional
derivatives

Abstract: Fractional derivatives are a mathematical tool that received much
attention in the last decades because of their non-local behavior which has
been demonstrated to be useful when modeling anomalous diffusion phenomena
appearing, e.g., in imaging or electrophysiology. Two of the most famous
definitions of fractional derivatives are the Riemann-Liouville and the
Caputo ones. In presence of bounded domains, the two formulations coincide
only for sufficiently smooth functions that satisfy homogeneous conditions
at the boundary. We aim at uncovering how much this lack of equivalence
reflects on their discretized counterparts by analyzing the structure and
the spectrum of the matrices obtained after a B-spline collocation
discretization. A discussion on how the retrieved information can be
leveraged for solving the associated linear systems is provided, together
with a selection of numerical experiments that validate our findings.

-- 
Laura Spinolo
IMATI-CNR
via Ferrata 5, 27100 Pavia, Italy
Web: http://arturo.imati.cnr.it/spinolo/
Email: spinolo a imati.cnr.it
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