Lectures related to Numerical Derivatives of Order 2

Explores numerical differentiation and integration methods, emphasizing the accuracy of finite differences in computing derivatives and integrals.

Explores consistency and stability in numerical methods, emphasizing error analysis and the role of boundary conditions.

Covers the Simpson quadrature rule for numerical integration, explaining the method to compute integrals using interpolation nodes and weights.

Analyzes the impact of small errors in initial conditions on numerical solutions.

Covers Richardson extrapolation for numerical differentiation to reduce error.

Explores numerical computing stability, error analysis, and truncation error impact.

Covers error analysis, stability, and adaptive time stepping in numerical methods, including convergence order and equilibrium points.