Numerical algorithm for Taylor series expansion
Toshio Hosono · Electronics and Communications in Japan (Part I Communications) · 1986
Abstract A new numerical algorithm for computing the coefficients of Taylor series expansion has been developed. As the result of error analysis, thirteen significant digits can be obtained by double precision (16 digits) computation, which was also verified by numerical experiment. Applications to Computation of residue, z‐transform, Laplace tranform, and Taylor expansion of inverse functions are described. Also, errors in the volume, Mathematical Formulas by Iwanami Co., are found through computations.