BibTeX
@ARTICLE{
         Barton1970TAS,
       AUTHOR = "Barton, David and Willers, I. M. and Zahar, R. V. M.",
       TITLE = "The Automatic Solution of Ordinary Differential Equations by the Method of {T}aylor
         Series.",
       JOURNAL = "The Computer Journal",
       VOLUME = "14",
       NUMBER = "3",
       YEAR = "1970",
       PAGES = "243--248",
       REFERRED = "[Aberth1988PNA]; [Chang1974Aso]; [Chang1986TAT]; [Corliss1982SOD]; [Fischer1987AD];
         [Hans80a].",
       KEYWORDS = "point algorithms; Taylor series; computer languages; differentiation arithmetic.",
       ABSTRACT = "The paper presents a simple langauge for the specification of mixed
         algebraic-ordinary differential systems with initial conditions. The language is specified in a
         BNF-type form. It is shown how to compile and optimise this language. The authors then apply the
         automatic differentiation technique of [Moore1966IA] to generate the Taylor series solution of a
         system specified in this language. Some simple examples of the language are given, but no numerical
         results are provided.",
       ad_theotech = "Taylor Arithmetic"
}