BibTeX
@ARTICLE{
         Chang1982SOD,
       author = "Y. F. Chang and George F. Corliss",
       title = "Solving Ordinary Differential Equations Using {T}aylor Series",
       journal = "ACM Trans. Math. Software",
       pages = "114--144",
       key = "Chang1982SOD",
       abstract = "A Fortran pre-processor program uses automatic differentiation to write a Fortran
         object program which is then run to solve the system. Parts: \begin{enumerate} \item
         Expand the series using recurrence relations. \item Estimate the radius of convergence of each
         component. \item Select a step size by comparison with series for model problems. \item
         Extend the solution by analytic continuation. \end{enumerate} The series analysis provides
         valuable information about analytic properties of the solution like the location and order of
         primary singularities. Taylor series methods are shown to be competitive with DVERK and DGEAR in
         terms of speed and accuracy.",
       keywords = "point algorithm; Taylor series; radius of convergence; pre-processing; automatic
         differentiation.",
       referred = "[Hoefkens2001EHO], [Rall1996AIt].",
       year = "1982",
       volume = "8"
}