Piecewise Polynomial Interpolation: Splines

Related lectures (30)

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

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

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

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

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

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

Covers polynomial interpolation, error analysis, stability, and piecewise linear interpolation using equally distributed nodes.

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

Covers piecewise linear and spline interpolation methods, stability, convergence, and data interpolation using splines.

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