Simpson's Rule

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Related lectures (28)

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Numerical Integration: Basics

Covers digital integration, interpolation polynomials, and integration formulas with error analysis.

Numerical Integration: Lagrange Interpolation, Simpson Rules

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

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.

Numerical integration: continued

Covers numerical integration methods, focusing on trapezoidal rules, degree of exactness, and error analysis.

Numerical Integration: Error Estimation

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

Numerical Integration: Simpson Quadrature Rule

Covers the Simpson quadrature rule for numerical integration, explaining the method to compute integrals using interpolation nodes and weights.

Numerical Integration: Lagrange Interpolation Methods

Covers numerical integration techniques, focusing on Lagrange interpolation and various quadrature methods for approximating integrals.

Composite Quadrature Formula

Explores the composite quadrature formula, digital integration, and numerical integration techniques using interpolating polynomials.

Numerical Integration: Newton-Cotes Integration

Covers Newton-Cotes integration, Trapezoid rule, Simpson rules, and numerical quadrature conditioning.

Numerical Integration: Newton-Cotes and Trapezoidal Rule

Covers numerical integration methods, including Newton-Cotes and the Trapezoidal Rule.