Lectures related to Numerical Integration: Degree of Exactness and Error Analysis

Introduces Simpson's rule for numerical integration and Richardson extrapolation for accuracy improvement.

Explores numerical methods for approximating integrals and discusses various integration formulas' accuracy and order of approximation.

Interpolatory Quadrature Formulas

Covers interpolatory quadrature formulas for approximating definite integrals using polynomials and discusses the uniqueness of solutions and practical applications in numerical integration.

Simpson's Rule

Covers Simpson's rule for numerical integration and its accuracy for polynomial functions.

Numerical Integration: Quadrature Formulas

Explores numerical integration through quadrature formulas and composite Simpson's formula.

Numerical Integration: Error Estimation

Covers error estimation in numerical integration methods using composite quadrature formulas and Lagrange interpolation.

Numerical Integration: Quadrature Formulas

Explains numerical integration through quadrature formulas and methods like Simpson's formula.