UNIGE document Scientific Article
previous document  unige:12326  next document
add to browser collection

Geometric integration of ordinary differential equations on manifolds

Published in BIT Numerical Mathematics. 2001, vol. 41, no. 5, p. 996-1007
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 integrationDifferential equations on manifoldsSymmetric methodsProjection methodsMethods based on local coordinates
Full text
(ISO format)
HAIRER, Ernst. Geometric integration of ordinary differential equations on manifolds. In: BIT Numerical Mathematics, 2001, vol. 41, n° 5, p. 996-1007. doi: 10.1023/A:1021989212020 https://archive-ouverte.unige.ch/unige:12326

488 hits

0 download


Deposited on : 2010-11-05

Export document
Format :
Citation style :