Lectures related to Ill-posed Numerical Problems

Explains Lagrange interpolation for numerical integration and introduces Simpson's rules.

Explores the concepts of linear and quadratic convergence rates, highlighting their differences and applications in numerical methods.

Explores unconfined flow in computational geomechanics, emphasizing weak form derivation and relative permeability.

Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.

Explores challenges in polynomial approximation, stability issues, and error analysis in numerical differentiation.

Discusses the explicit Runge Kulta method for function approximation and error analysis.

Explores floating point numbers, LU decomposition, errors in numerical computations, and the impact of round-off errors.

Covers Richardson extrapolation for numerical differentiation to reduce error.