Polynomial Interpolation: Lagrange and Runge Phenomenon

Related lectures (29)

Page 3 of 3

Introduces nonlinear equations and polynomial interpolation for curve fitting.

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

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

Explores numerical differentiation methods and round-off errors in computer computations.

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

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

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

Explores curve fitting via polynomial interpolation, stability, errors, and node distribution impact.

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