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Paper detail

Convergence of Lie group integrators

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.

preprint2018arXivOpen access
Charles CurryAlexander Schmeding
math.NAmath.DG
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Charles CurryAlexander Schmeding

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