Publication: The Automatic Solution of Ordinary Differential Equations by the Method of Taylor Series.
Introduction
Applications
Tools
Research Groups
Workshops
Publications
   List Publications
   Advanced Search
   Info
   Add Publications
My Account
About

The Automatic Solution of Ordinary Differential Equations by the Method of Taylor Series.

- Article in a journal -
 

Author(s)
David Barton , I. M. Willers , R. V. M. Zahar

Published in
The Computer Journal

Year
1970

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 Theory and Techniques
Taylor Arithmetic

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"
}


back
  

Contact:
autodiff.org
Username:
Password:
(lost password)