File Download

There are no files associated with this item.

  • Find it @ UNIST can give you direct access to the published full text of this article. (UNISTARs only)
Related Researcher

김필원

Kim, Pilwon
Nonlinear and Complex Dynamics
Read More

Views & Downloads

Detailed Information

Cited time in webofscience Cited time in scopus
Metadata Downloads

Geometric integration via multi-space

Author(s)
Kim, PilwonOlver, PJ
Issued Date
2004
DOI
10.1070/RD2004v009n03ABEH000277
URI
https://scholarworks.unist.ac.kr/handle/201301/8968
Fulltext
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=25144514332
Citation
REGULAR & CHAOTIC DYNAMICS, v.9, no.3, pp.213 - 226
Abstract
We outline a general construction of symmetry-preserving numerical schemes for ordinary differential equations. The method of invariantization is based on the equivariant moving frame theory applied to prolonged symmetry group actions on multi-space, which has been proposed as the proper geometric setting for numerical analysis. We explain how to invariantize standard numerical integrators such as the Euler and Runge-Kutta schemes; in favorable situations, the resulting symmetry-preserving geometric integrators offer significant advantages.
Publisher
MAIK NAUKA/INTERPERIODICA/SPRINGER
ISSN
1560-3547

qrcode

Items in Repository are protected by copyright, with all rights reserved, unless otherwise indicated.