Relatori

6 lectures on: Learning Solution Operators for the PDEs of Solid Mechanics: Neural Networks and Deep Learning; Approximation Theory of Neural Networks; Operator Learning; Approximation Theory of Neural Operators; Homogenization of Elliptic Equations; Data

6 lectures on: Artificial Intelligence techniques in optimal design problems in the Mechanics and Manufacturing of Lightweight Solid Materials.

replaces Carola-Bibiane Schönlieb 6 lectures on: The mathematical bases of machine learning and neural networks and on their use in image analysis and in the solution of inverse problems in the mechanics of solids: Mathematical operators and applications;

6 lectures on: The use of machine learning in the extraction of constitutive equations from experimental data: Constitutive model free data-driven computational mechanics (DDCM): from non-linear elasticity to history-dependent material response; Model f

5 lectures on: Learning history-dependent multi-scale phenomena: History-dependent multi-scale phenomena in continuum mechanics; Internal variables and gradient flows; Recurrent neural operators; Application to experimental learning of constitutive beha

5 lectures on: Mesh-free discretization and model reduction in time-dependent problems: Oscillatory instabilities in the mechanics of solids; Analytical and computational techniques for model reduction in nonlinear dynamical systems; Center manifold theor