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Kim, Pilwon
Nonlinear Complex Systems Lab
Research Interests
  • Complex systems, collective dynamics, nonlinear dynamical systems

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Geometric integration via multi-space

Cited 19 times inthomson ciCited 13 times inthomson ci
Title
Geometric integration via multi-space
Author
Kim, PilwonOlver, PJ
Issue Date
2004
Publisher
MAIK NAUKA/INTERPERIODICA/SPRINGER
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.
URI
https://scholarworks.unist.ac.kr/handle/201301/8968
URL
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=25144514332
DOI
10.1070/RD2004v009n03ABEH000277
ISSN
1560-3547
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