Evaluation of the Asymptotic Expansion of a Numerical Function
Kostadin G. Sheiretsky, Svetlin I. Antonov · 2024
An asymptotic expansion to second order of a numerical function is made dependent on a small in modulus parameter compared to unity. A formula for evaluating the residual term is derived. The method can be widely used to evaluate the accuracy of solutions of nonlinear algebraic equations, and also in the study of derived asymptotic series of functions with a time-dependent argument.