NASA NTRS · 19920016488
A third order Runge-Kutta algorithm on a manifold
Abstract
A third order Runge-Kutta type algorithm is described with the property that it preserves certain geometric structures. In particular, if the algorithm is initialized on a Lie group, then the resulting iterates remain on the Lie group.
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Crouch, P. E., Grossman, R. G., Yan, Y.. 1992-03-01. A third order Runge-Kutta algorithm on a manifold. https://ntrs.nasa.gov/citations/19920016488
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