Lectures related to Advection-Diffusion Equations

Explores the stability analysis of finite difference methods for solving differential equations.

Covers numerical methods for solving boundary value problems using Crank-Nicolson and FFT.

Explores advection-diffusion equations and the explicit 2-level scheme, emphasizing stability in numerical simulations.

Covers numerical differentiation and integration techniques using examples and quadrature formulas.

Explains finite difference grids for computing solutions of elastic membranes using Laplace's equation and numerical methods.

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