Lectures related to Stability of Euler Schemes

Introduces the Euler Forward Method for ODEs, focusing on error analysis and stability.

Covers fixed-point methods and Newton-Raphson, emphasizing their convergence and error control.

Covers iterative methods for solving linear equations and analyzing convergence, including error control and positive definite matrices.

Covers the parabolic heat equation in two dimensions and its numerical solution methods.

Explores implicit and explicit methods in numerical analysis using Euler's paths.

Covers the study of convergence of sequences, integrals, and functions.

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