Chebyshev series

A Chebyshev series is a way of approximating complex functions using a specific set of mathematical tools called Chebyshev polynomials. Imagine breaking down a complicated curve into a sum of simpler, smooth waves that fit it closely. This method helps approximate functions efficiently, especially when high accuracy is needed over a specific interval. Chebyshev series are widely used in numerical analysis because they minimize errors and improve computational stability, making them effective for simulations, data fitting, and solving mathematical problems where precise function approximation is essential.