Thanks for the reference--it allowed me to recall a BYTE article on Taylor methods for ODEs. Sometime ago there was a
thread about Taylor methods--I wasn't able to come up with the reference:
@ARTICLE{
Chang1986TAT,
AUTHOR = "Chang, Y. F.",
TITLE = "The {ATOMCC} Toolbox",
JOURNAL = "BYTE",
VOLUME = "11",
NUMBER = "4",
YEAR = "1986",
PAGES = "215--224",
REFERRED = "[Corliss1988AoD].",
KEYWORDS = "point algorithm; Taylor series; automatic differentiation.",
ABSTRACT = "ATOMCC is a pre-processor which accepts a Fortran-like statement of a system of
ordinary differential equations and writes a Fortran object program which is run later to solve the
system. The object program uses recurrence relations to generate the series and a radius of
convergence analysis to choose a stepsize which controls the local error. The program also solves
stiff systems. It runs on IBM PC compatible computers up to large mainframes."}
--Barton
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I came across this paper (dedicated to memory of Wm Schelter!)
http://www.maia.ub.es/~angel/taylor/taylor.pdf