Geometric integration via multi-space

P. Kim, P. J. Olver

Research output: Contribution to journalArticlepeer-review

29 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)213-226
Number of pages14
JournalRegular and Chaotic Dynamics
Volume9
Issue number3
DOIs
StatePublished - 2004

Fingerprint Dive into the research topics of 'Geometric integration via multi-space'. Together they form a unique fingerprint.

Cite this