Publication: Automatic solution of differential equations
Introduction
Applications
Tools
Research Groups
Workshops
Publications
   List Publications
   Advanced Search
   Info
   Add Publications
My Account
About

Automatic solution of differential equations

- incollection -
 

Author(s)
Y. F. Chang

Published in
Constructive and Computational Methods for Differential and Integral Equations

Editor(s)
D. L. Colton, R. P. Gilbert

Year
1974

Publisher
Springer Verlag

Abstract
Compiler programs ATSCPL and ATSBVP are describes which accept as input up to 99 coupled 4th order differential equations described using simple Fortran statements. The solution program uses the Taylor series method to solve the equations. The paper is a good introduction to the basics of numerical Taylor series methods such as step length control. Various example problems are solved, and results are given.

BibTeX
@INCOLLECTION{
         Chang1974Aso,
       AUTHOR = "Chang, Y. F.",
       TITLE = "Automatic solution of differential equations",
       BOOKTITLE = "Constructive and Computational Methods for Differential and Integral Equations",
       SERIES = "Lecture Notes in Mathematics",
       VOLUME = "430",
       EDITOR = "Colton, D. L. and Gilbert, R. P.",
       PUBLISHER = "Springer Verlag",
       ADDRESS = "New York",
       YEAR = "1974",
       PAGES = "61--94",
       REFERRED = "[Chang1986TAT]; [Corliss1982SOD]; [Corliss1988AoD]; [Halin1983Tao].",
       KEYWORDS = "point algorithm; Taylor series; automatic differentiation.",
       ABSTRACT = "Compiler programs ATSCPL and ATSBVP are describes which accept as input up to 99
         coupled 4th order differential equations described using simple Fortran statements. The solution
         program uses the Taylor series method to solve the equations. The paper is a good introduction to
         the basics of numerical Taylor series methods such as step length control. Various example problems
         are solved, and results are given."
}


back
  

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