Publication: The applicability of Taylor series methods in simulation
Introduction
Applications
Tools
Research Groups
Workshops
Publications
   List Publications
   Advanced Search
   Info
   Add Publications
My Account
About

The applicability of Taylor series methods in simulation

- Part of a collection -
 

Author(s)
Hans J. Halin

Published in
Proceedings of the 1983 Summer Computer Simultation Conference (Vancouver, B.C.)

Year
1983

Abstract
The author surveys historical and current developements in the application of recurrent Taylor series to the integration of systems of ordinary differential equations. The historical developement of the subject is reviewed along with a discussion of the reasons for the existence of present day prejudice against the method. A summary of current techniques is presented including those for deriving the recurrence relations with particular emphasise towards implementation. Questions about convergence, stepsize control and automatic control of series length are considered. Various difficulties such as integration across discontinuities and implicit differential equations are discussed and accurate and efficient remedies are provided. A simulation language, PSCSP (Power Series Continuous-system Simulation Program), is presented. This is used as a medium for testing and comparing the theory discussed earlier.

BibTeX
@INPROCEEDINGS{
         Halin1983Tao,
       AUTHOR = "Halin, Hans J.",
       TITLE = "The applicability of {T}aylor series methods in simulation",
       BOOKTITLE = "Proceedings of the 1983 Summer Computer Simultation Conference (Vancouver, B.C.)",
       VOLUME = "5",
       YEAR = "1983",
       KEYWORDS = "differentiation arithmetic; Taylor series; computer program; numerical results;
         convergence.",
       ABSTRACT = "The author surveys historical and current developements in the application of
         recurrent Taylor series to the integration of systems of ordinary differential equations. The
         historical developement of the subject is reviewed along with a discussion of the reasons for the
         existence of present day prejudice against the method. A summary of current techniques is presented
         including those for deriving the recurrence relations with particular emphasise towards
         implementation. Questions about convergence, stepsize control and automatic control of series length
         are considered. Various difficulties such as integration across discontinuities and implicit
         differential equations are discussed and accurate and efficient remedies are provided. A simulation
         language, PSCSP (Power Series Continuous-system Simulation Program), is presented. This is used as a
         medium for testing and comparing the theory discussed earlier."
}


back
  

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