Introduces Lagrange interpolation for approximating data points with polynomials, discussing challenges and techniques for accurate interpolation.
Explores the composite quadrature formula, digital integration, and numerical integration techniques using interpolating polynomials.
Discusses the analysis of composite numerical integration formulas and their convergence, stability, and error characteristics.
Explores error estimation in numerical methods for solving ordinary differential equations, emphasizing the impact of errors on solution accuracy and stability.
