Inverse Power Method: Introduction to ODEs

Numerical Methods: Euler and Crank-Nicolson

Covers Euler and Crank-Nicolson methods for solving differential equations.

Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.

Explicit Stabilised Methods: Applications to Bayesian Inverse Problems

Explores explicit stabilised Runge-Kutta methods and their application to Bayesian inverse problems, covering optimization, sampling, and numerical experiments.

Eigenvalues and Optimization: Numerical Analysis Techniques

Discusses eigenvalues, their calculation methods, and their applications in optimization and numerical analysis.

Linear Equations: Introduction and Solutions

Covers the introduction and solutions of linear equations, including methods for solving systems and determining the number of solutions.