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Convergence of Lie group integrators

Curry, Charles Henry Alexander; Schmeding, Alexander
Journal article, Peer reviewed
Accepted version
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URI
http://hdl.handle.net/11250/2639928
Date
2019
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  • Institutt for matematiske fag [1396]
  • Publikasjoner fra CRIStin - NTNU [19909]
Original version
Numerische Mathematik. 2019, 1-17.   10.1007/s00211-019-01083-1
Abstract
We relate two notions of local error for integration schemes on Riemannian homogeneous spaces, and show how to derive global error estimates from such local bounds. In doing so, we prove for the first time that the Lie–Butcher theory of Lie group integrators leads to global error estimates.
Publisher
Springer Verlag
Journal
Numerische Mathematik

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