An Investigation of Some Extensions of a Method for Generating Power Series.

摘要

An exploration is carried out of various problems associated with extensions of a method for the computer generation of the power series solutions to differential equations. Among the problems considered are: (1) extending the error analysis to multidimensional series, (2) interpolatory and Laurent series expansions, (3) error analysis for Laurent series,and (4) the treatment of poles in the solutions. (Author)