Lectures related to Optimal Control: Direct Solution Methods

Explains Lagrange interpolation for numerical integration and introduces Simpson's rules.

Covers the stages of the explicit Runge-Kutta method for approximating y(t) with detailed explanations.

Covers the process of solving nonlinear problems using known and unknown variables.

Covers Coppersmith's method for attacking RSA encryption by efficiently finding small roots of polynomials modulo N.

Covers high order methods for space discretisation in linear differential systems.

Covers the basics of computational geomechanics, including poroelasticity, plasticity, and numerical methods for solving geotechnical problems.

Covers the semester project on numerics, focusing on adaptive algorithms and multistep methods.