Advanced Search

Journal Navigation

Journal Home

Subscriptions

Archive

Contact Us

Table of Contents

CiteULike is a free service for managing and discovering scholarly references - click here to get started.

Sign In to gain access to subscriptions and/or personal tools.
SIMULATION
This Article
Right arrow Full Text (PDF)
Right arrow References
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to Saved Citations
Right arrow Download to citation manager
Right arrowRequest Permissions
Right arrow Request Reprints
Right arrow Add to My Marked Citations
Citing Articles
Right arrow Citing Articles via Google Scholar
Right arrow Citing Articles via Scopus
Google Scholar
Right arrow Articles by Halin, H.J.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Complore   Add to Connotea   Add to Del.icio.us   Add to Digg   Add to Reddit   Add to Technorati   Add to Twitter  
What's this?

Integration across discontinuities in ordinary differential equations using power series

H.J. Halin

ETH (Swiss Federal Institute of Technology) Clausiusstrasse 33 CH-8092 Zürich, Switzerland

Numerical integration of ordinary differential equa tions containing nonanalytical functions is error- prone and time-consuming. Because of this problem, the simulation of the hydraulic servo drive of a machine tool produced unsatisfactory results. How ever, applying power-series expansions provided fast and accurate solutions. Due to its pieceuise semi- analytic character, this method is particularly suited to handling discontinuities. Although it re quires the calculation of higher derivatives by means of recursion formulas, the power-series method can be completely automated. A simulation package for this purpose is currently under development. Two examples compare its performance with that of Runge-Kutta- Merson integration.

Key Words: digital simulation (continuous systems), mathematical techniques • numerical inte gration

SIMULATION, Vol. 32, No. 2, 33-45 (1979)
DOI: 10.1177/003754977903200202
Add to CiteULike CiteULike   Add to Complore Complore   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us   Add to Digg Digg   Add to Reddit Reddit   Add to Technorati Technorati   Add to Twitter Twitter    What's this?