Lectures related to Numerical Methods: Boundary Value Problems

Explores the parabolic heat equation evolution and numerical solution methods.

Explores numerical methods for solving ODE systems, stability regions, and absolute stability importance.

Explores numerical methods for fluid dynamics and techniques for handling fluid interfaces.

Covers the motivation and examples of boundary value problems, the finite difference method, and the approximation of local derivatives.

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

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

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

Covers the basics of numerical flow simulation, including boundary conditions and geometry reduction.