Interpolation of Lagrange: Dualité and Coupling

Related lectures (31)

Page 1 of 4

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.

Explores quadratic forms, symmetric bilinear forms, and their properties.

Explores pseudo-Euclidean spaces, emphasizing isometries and bases in vector spaces with non-degenerate quadratic forms.

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

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

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

Covers piecewise polynomial interpolation with splines, focusing on Lagrange interpolation with Chebyshev nodes and error convergence.

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

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