Lecture
Numerical Integration: Lagrange Interpolation, Simpson Rules
Related lectures (35)
Gauss-Legendre Quadrature Formulas
Explores Gauss-Legendre quadrature formulas using Legendre polynomials for accurate function 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.
Lagrange Interpolation: Case 2MOOC: Numerical Analysis for Engineers
Explains Lagrange interpolation with M=2, covering base polynomials and linear independence.
Numerical integration: continued
Covers numerical integration methods, focusing on trapezoidal rules, degree of exactness, and error analysis.
Numerical Integration
Explores numerical integration methods, including the composite quadrature formula and the efficiency of Simpson's rule, aiming to enhance student understanding and reduce stress.
Error Estimation and Numerical Integration
Explores error estimation in numerical integration and its applications in forecasting, emphasizing the Romberg method and Richardson extrapolation.
Numerical Integration: Basics
Covers digital integration, interpolation polynomials, and integration formulas with error analysis.
Simpson's RuleMOOC: Numerical Analysis for Engineers
Covers Simpson's rule for numerical integration and its accuracy for polynomial functions.
Numerical Integration: Quadrature Formulas
Covers numerical integration using quadrature formulas for accurate results.
Numerical Integration: Error Estimation
Covers error estimation in numerical integration methods using composite quadrature formulas and Lagrange interpolation.