Numerical Analysis: Polynomial Interpolation Techniques

Related lectures (31)

Page 3 of 4

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

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

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

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

Covers quadrature methods, focusing on composite and non-composite techniques, their formulas, and practical applications in integration.

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

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

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

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

Explores finite element interpolation using the Clément operator for non-continuous functions and discusses error estimation.