158 citations · 509 across the 17 of their papers we have counts for
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math.OC2011★ 41 cited
Invariant higher-order variational problems II
François Gay-Balmaz, Darryl D. Holm, David M. Meier +2
Motivated by applications in computational anatomy, we consider a second-order problem in the calculus of variations on object manifolds that are acted upon by Lie groups of smooth…
math.DS2011★ 12 cited
Geometric integrators for higher-order mechanics on Lie groups
Christopher L. Burnett, Darryl D. Holm, David M. Meier
This paper develops a structure-preserving numerical integration scheme for a class of higher-order mechanical systems. The dynamics of these systems are governed by invariant vari…