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Lecture
Interpolation of Lagrange: Dualité and Coupling
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Numerical Analysis: Polynomial Interpolation Techniques
Provides an overview of polynomial interpolation techniques in numerical analysis, focusing on Lagrange interpolation and error estimation methods.
Interpolation de fonction
Explores interpolation of regular functions, error analysis, convergence, and Chebyshev polynomials.
Interpolation de Lagrange: General Case
Explains the Lagrange interpolation method for arbitrary n and constructing polynomials through given points.
Nonlinear Equations: Interpolation and Error Analysis
Covers the interpolation of nonlinear functions using Lagrange polynomials and error analysis.
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Numerical integration: continued
Covers numerical integration methods, focusing on trapezoidal rules, degree of exactness, and error analysis.
Bilinear Forms: Theory and Applications
Covers the theory and applications of bilinear forms in various mathematical contexts.
Polynomial Interpolation: Lagrange Interpolation
Covers Lagrange interpolation as a unique polynomial of degree 2N through 2N + 1 points.
Polynomial Interpolation: Error and Definition
Explores polynomial interpolation theory, emphasizing error expression and piecewise definition.
Gauss-Legendre Quadrature Formulas
Explores Gauss-Legendre quadrature formulas using Legendre polynomials for accurate function approximation.