Lectures related to Stability and Convergence in Numerical Methods

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

Modeling Water Transfers with Richards Equation

Discusses modeling water transfers with the Richards equation, including soil hydraulic functions, numerical methods, boundary conditions, and irrigation impact.

Diffusion on a Limited Domain

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

Example: 1D steady diffusion

Explores the numerical simulation of steady convection-diffusion problems, discretization, boundary conditions, and algebraic system assembly.

Heat Equation in 1D: Chapter 12

Explores the heat equation in 1D, emphasizing conservation of thermal energy and numerical solution methods.

Convection-Diffusion: Boundary Layer Analysis

Discusses boundary layer analysis in convection-diffusion problems, focusing on numerical schemes and stability.

Parabolic Heat Equation: Modeling and Simulation

Explores the parabolic heat equation evolution and numerical solution methods.