Padé Approximants

Padé approximants are a mathematical tool used to approximate complex functions with ratios of simpler polynomials. Instead of just using a polynomial to estimate a function, they express it as a fraction of two polynomials, which can better capture the behavior of the original function, especially near singularities or in regions where Taylor series expansions are less accurate. This approach provides more accurate approximations with fewer terms, making it useful in engineering, physics, and applied mathematics for modeling and simulation purposes.