Geometric integration of ordinary differential equations on manifolds

Hairer, Ernst

doi:10.1023/A:1021989212020

Scientific article

English

Geometric integration of ordinary differential equations on manifolds

ContributorsHairer, Ernst

Published inBIT, vol. 41, no. 5, p. 996-1007

Publication date2001

Abstract

This article illustrates how classical integration methods for differential equations on manifolds can be modified in order to preserve certain geometric properties of the exact flow. Projection methods as well as integrators based on local coordinates are considered. The central ideas of this article have been presented at the 40th anniversary meeting of the journal BIT.

Keywords

Geometric integration
Differential equations on manifolds
Symmetric methods
Projection methods
Methods based on local coordinates

Affiliation

Faculté des sciences / Section de mathématiques

Citation (ISO format)

HAIRER, Ernst. Geometric integration of ordinary differential equations on manifolds. In: BIT, 2001, vol. 41, n° 5, p. 996–1007. doi: 10.1023/A:1021989212020

Article (Published version)

Identifiers

PID : unige:12326
DOI : 10.1023/A:1021989212020

Commercial URLhttp://www.springerlink.com/content/j4w250742h551611/

ISSN of the journal0006-3835

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Geometric integration of ordinary differential equations on manifolds

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