Lectures related to Digital Physics: Convergence and Error Analysis

Covers the Newton method and its convergence properties near the optimal point.

Covers open methods, Newton-Raphson, and secant method for iterative solutions in numerical methods.

Covers root-finding methods, focusing on the bisection and secant techniques, their implementations, and comparisons of their convergence rates.

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

Explores implicit schemes in numerical analysis, emphasizing stability and convergence properties in solving differential equations.

Covers the parabolic heat equation in two dimensions and its numerical solution methods.

Explores iterative methods for solving nonlinear equations, discussing convergence properties and implementation details.