Lectures related to Lagrange polynomial

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

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

Interpolation of Lagrange: Dualité and Coupling

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

Polynomial Interpolation: Lagrange Method

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

Newton Interpolation: Basics

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

Trigonometric Interpolation: Approximation of Periodic Functions and Signals

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

Polynomial Interpolation: Lagrange Interpolation

Covers Lagrange interpolation as a unique polynomial of degree 2N through 2N + 1 points.

Signal Reconstruction: Sampling Theorem 2

Explores signal reconstruction techniques, including polynomial interpolation challenges and the importance of interpolation functions.

Finite Dimensional Spaces

Explores finite dimensional spaces, covering extraction process, bases generation, and space completion.

Lagrange Interpolation: Polynomial Construction and Definite Integral Introduction

Explores Lagrange interpolation for polynomial construction and introduces the definite integral.

Splines: Least-Squares Method

Explores splines, emphasizing the least-squares method for interpolating splines and demonstrating its application using MATLAB.

Polynomial Interpolation: Optimizing Error

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

Polynomial Interpolation: Curve Fitting

Explores polynomial interpolation for curve fitting, error analysis, and the Runge's phenomenon.

Interpolation de Lagrange

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

Interpolation: Base de Lagrange

Explains Lagrange interpolation, constructing polynomials passing through given points with explicit formulas and calculations.

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.

Quadrature Formulas: Newton-Cotes, Lagrange Polynomials, Simpson Rule

Covers quadrature formulas, Lagrange polynomials, and the Simpson rule for accurate integration.

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.

Nonlinear Equations and Polynomial Interpolation

Introduces nonlinear equations and polynomial interpolation for curve fitting.