Lectures related to Finite Differences Method: Error Division and Schemes

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

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

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

Explores transient stability in power systems dynamics, covering algebraic equations, generator models, and numerical integration techniques.

Explores the deformations of an inextensible sheet bent under self-weight and its equilibrium shapes under gravity.

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

Covers advanced topics in numerical analysis, focusing on techniques for solving complex mathematical problems.

Covers the numerical approximation of ODEs using finite difference methods.