Runge's phenomenon refers to the issue of oscillation that occurs when using high-degree polynomial interpolation at equidistant points, leading to significant errors at the edges of the interval. This phenomenon highlights the limitations of polynomial interpolation, particularly in approximating functions that are not well-represented by such polynomials. The discussion includes links to articles that provide further insights into the mathematical principles and implications of Runge's phenomenon. Understanding this concept is crucial for those involved in numerical analysis and interpolation methods. Proper techniques, such as using Chebyshev nodes, can mitigate the effects of Runge's phenomenon.
