Chebyshev spacing

Chebyshev spacing refers to a method of placing points evenly across an interval, where the points are spaced according to the roots of Chebyshev polynomials. Unlike uniform spacing, Chebyshev spacing concentrates points more densely near the interval's edges. This approach helps reduce errors called "Runge's phenomenon" in polynomial interpolation, making the approximation more accurate across the entire interval. In practical terms, Chebyshev spacing ensures a balanced and efficient distribution of sampling points, especially useful in numerical analysis and approximation tasks, leading to improved stability and precision in calculations.