Lectures related to Richards Equation: Water Transfers Simulation

Heat Equation in 1D: Chapter 12

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

Heat Equation: Modeling and Numerical Methods

Covers the heat equation, its physical interpretation, and numerical methods for solving it.

Diffusion on a Limited Domain

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

ODEs: Introduction and Solutions

Covers Ordinary Differential Equations, first-order solutions, and numerical methods for IVP and BVP.

Finite Differences in Advection-Diffusion

Explores the explicit 2-level scheme for advection-diffusion and the convergence of digital solutions.

Implementation of Transport Equations in Composite Materials

Explores the implementation of transport equations in composite materials, covering resin/fiber interaction, boundary conditions, and mechanics of continuous media.

Convection-Diffusion: Boundary Layer Analysis

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