Lectures related to Interpolation de fonction

Explores error analysis and limitations in interpolation on evenly distributed nodes.

Explores trigonometric interpolation for approximating periodic functions and signals using equally spaced nodes.

Covers the optimization of error in polynomial interpolation, focusing on minimizing the error by strategically placing interpolation points.

Covers the least squares method for approximating data and handling errors.

Covers Lagrange interpolation using intervals to find accurate polynomial approximations.

Covers the basics of Newton interpolation and interpolation polynomials using Lagrange and Newton methods.

Introduces Lagrange interpolation for approximating data points with polynomials, discussing challenges and techniques for accurate interpolation.

Covers the Newton method for finding zeros of functions using data interpolation.

Covers the Lagrange polynomial interpolation method and error analysis in function approximation.

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

Covers the convergence theorems for interpolation and the application of polynomials for equispaced points.

Covers the concept of piecewise linear interpolation and the importance of dividing intervals correctly.

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

Covers Lagrange interpolation, focusing on constructing polynomials that pass through given points.

Covers the interpolation of nonlinear functions using Lagrange polynomials and error analysis.

Explains the Lagrange interpolation method for arbitrary n and constructing polynomials through given points.

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

Introduces Reed Solomon Codes, their applications, polynomial definitions, interpolation, roots, and the Fundamental Theorem of Algebra.

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

Provides an overview of polynomial interpolation techniques in numerical analysis, focusing on Lagrange interpolation and error estimation methods.