Interpolation by Intervals: Lagrange Interpolation

Related lectures (30)

Page 3 of 3

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

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

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

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

Explains how to find the polynomial of interpolation using the Vandermonde matrix.

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

Introduces nonlinear equations and polynomial interpolation for curve fitting.

Explores systems of non-linear equations and polynomial interpolation, including the Newton method and Vandermonde matrix construction.

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

Covers data manipulation and exploration using Python with a focus on visualization techniques.