Solveig T.Numerical Method and Step Size Variation in the Lorenz Equations Public

http://ir.library.oregonstate.edu/concern/honors_college_theses/2j62s697c

Descriptions

Attribute NameValues
Creator
Abstract or Summary
  • The relative accuracy of solutions to chaotic systems was examined using the Lorenz system as a case study. The classical fourth order Runge-Kutta method was employed to generate solutions using various step sizes, and the resultant solutions were compared. A second set of solutions was then computed using one of the second order Runge-Kutta methods and the same range of step sizes as before. The resultant data suggest that shortterm accuracy can be significantly increased by decreasing the step size of the numerical method, and a more accurate method similarly increases short-term accuracy. As expected, the long-term solutions eventually diverge; the qualitative behavior of these long-term solutions is still evident regardless of the step size or the method used.
Resource Type
Date Available
Date Issued
Degree Level
Degree Name
Degree Grantor
Advisor
Non-Academic Affiliation
Keyword
Rights Statement
Publisher
Peer Reviewed
Language
Replaces
Additional Information
  • description.provenance : Submitted by Heather Boren (heather.boren@oregonstate.edu) on 2011-11-04T23:02:23Z No. of bitstreams: 1 S.T.Mueller_Thesis.pdf: 882112 bytes, checksum: ee23a7f4396d01075575a523230f20f1 (MD5)
  • description.provenance : Made available in DSpace on 2011-11-04T23:02:23Z (GMT). No. of bitstreams: 1 S.T.Mueller_Thesis.pdf: 882112 bytes, checksum: ee23a7f4396d01075575a523230f20f1 (MD5)

Relationships

In Administrative Set:
Last modified: 07/28/2017

Downloadable Content

Download PDF
Citations:

EndNote | Zotero | Mendeley

Items