Lectures related to ODEs: Introduction and Solutions

Explores consistency and stability in numerical methods, emphasizing error analysis and the role of boundary conditions.

Covers the fundamentals of waves, diffusion, and convection, focusing on the concepts of propagation, initial conditions, and boundary conditions.

Focuses on numerical modelling of atmospheric processes to predict weather and climate phenomena, covering key concepts and methods.

Covers time-dependent diffusion on a limited domain with boundary conditions and solution methods.

Covers the application of finite element methods to solve boundary value problems in one dimension.

Explains verification and validation in CFD simulations, focusing on Richardson extrapolation and accuracy checking.