Lectures related to Finite Difference Methods: Stability Analysis

Covers the Runge-Kutta method for approximating solutions of differential equations.

Explores the Euler backward method for ODEs, discussing stability, error reduction, and implicit vs explicit methods.

Explores inverse monotonicity in numerical methods for differential equations, emphasizing stability and convergence criteria.

Explores ordinary differential equations and numerical integration methods for stability and accuracy.

Discusses finite differences and finite elements, focusing on variational formulation and numerical methods in engineering applications.

Covers chapter 10 on boundary problems in 1D using finite difference methods.

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

Covers the resolution of a Cauchy problem using a general solution approach for differential equations.