RESEARCH GROUPS

Area Architecture

Area Engineering

DEPARTMENTS

Numerical methods on manifolds

keywords INTERPOLATION, REDUCED ORDER MODELS, RIEMANNIAN OPTIMIZATION

Reference persons TOMMASO VANZAN

Thesis type MAGISTRALE, TRIENNALE

Description ''They throw geometry out the door, and it comes back through the window'' (H.G. Forder)

In many mathematical models, certain quantities of interest naturally belong to differentiable varieties.
This mathematical structure of the problem has often been ignored in the past, leading to very inefficient numerical algorithms.
In constrast, the development of numerical methods that exploit these geometric properties has achieved considerable success in recent years.
This thesis aims to study some of these algorithms, in the context of optimization, reduced order models (so called Dynamical Low Rank method), or interpolating processes, with relevant applications.

Deadline 05/05/2025      PROPONI LA TUA CANDIDATURA