Numerical Differentiation: Methods and Errors

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Related lectures (28)

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Lagrange Interpolation: Numerical Integration Techniques

Covers Lagrange interpolation and its application in numerical integration techniques, focusing on both non-composite and composite methods of quadrature.

Gauss-Legendre Quadrature Formulas

Explores Gauss-Legendre quadrature formulas using Legendre polynomials for accurate function approximation.

Composite Quadrature Formula

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

Quadrature Formulas: Composite and Non-Composite Methods

Covers quadrature methods, focusing on composite and non-composite techniques, their formulas, and practical applications in integration.

Interpolation of Lagrange: Dualité and Coupling

Explores Lagrange interpolation, emphasizing uniqueness and simplicity in reconstructing functions from limited values.

Interpolation by Intervals: Lagrange Interpolation

Covers Lagrange interpolation using intervals to find accurate polynomial approximations.

Interpolation de fonction

Explores interpolation of regular functions, error analysis, convergence, and Chebyshev polynomials.

Polynomial Interpolation: Error and Definition

Explores polynomial interpolation theory, emphasizing error expression and piecewise definition.