Lectures related to Optimization with Constraints: Theory and Applications

Discusses finite differences and finite elements, focusing on variational formulation and numerical methods in engineering applications.

Covers optimization methods, convergence guarantees, trade-offs, and variance reduction techniques in numerical optimization.

Covers the optimization with constraints, focusing on the Karush-Kuhn-Tucker (KKT) conditions.

Covers variational methods, equilibrium shape of a bent beam, Euler's Elastica, and numerical and analytical methods.