Lectures related to Runge's phenomenon

Explores trigonometric interpolation for approximating periodic functions and signals using equally spaced nodes.

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

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

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

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 polynomial interpolation, Lagrange polynomials, and the challenges of interpolation methods.

Explores the concept of entropy and its significance in thermodynamics.

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

Explores polynomial interpolation for curve fitting, error analysis, and the Runge's phenomenon.

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

Explores the finite element method's global approach, including shape functions and systematization.

Covers the topic of approximating functions using polynomials through interpolation, emphasizing the importance of optimal point selection.

Explores approximation methods and weak variational forms in numerical methods.

Introduces Lagrange interpolation for approximating data points with polynomials, discussing challenges and techniques for accurate interpolation.

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

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

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

Covers the basics of Bezier curves and introduces Bernstein polynomials.

Covers polynomial interpolation, equidistant points, and Lagrange basis in interpolation techniques.