Seminario di analisi numerica
ore
14:00
presso Aula Vitali
Network science is a rapidly growing interdisciplinary area
at the intersection of mathematics, physics, computer science,
and a multitude of disciplines ranging from the life sciences
to the social sciences and even the humanities. Network
analysis methods are now widely used in proteomics, the
study of social networks (both human and animal), finance,
ecology, bibliometric studies, archeology, the evolution
of cities, and a host of other fields.
After giving a broad overview of network science, I will
introduce the audience to some of the more fundamental
mathematical and computational problems arising in the analysis
of networks, with an emphasis on the basic notions of centrality,
communicability, and robustness. I will show how these lead to
large-scale sparse numerical linear algebra computations
including the solution of linear systems and eigenvalue
problems, and the evaluation of functions of matrices.
The talk is intended to be accessible to a broad audience.