If addition, subtraction, multiplication, division, functions, etc. of asymptotic series can be defined and overloaded in C++ program language, it is shown that the functions defined by C or C++ language can be expanded to asymptotic series. Using these methods, the functions can be expanded in asymptotic seres of arbitrary order with high precision. This asymptotic series gives effective acceleration methods for various slowly convergent series. This scheme is illustrated by numerical examples.
View full abstract