112 citations · 1.1k across the 65 of their papers we have counts for
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math.NA2007★ 23 cited
The variational particle-mesh method for matching curves
C. J. Cotter
Diffeomorphic matching (only one of several names for this technique) is a technique for non-rigid registration of curves and surfaces in which the curve or surface is embedded in…
math.DS2007★ 39 cited
Continuous and discrete Clebsch variational principles
C. J. Cotter, D. D. Holm
The Clebsch method provides a unifying approach for deriving variational principles for continuous and discrete dynamical systems where elements of a vector space are used to contr…
math.DS2007★ 46 cited
Multisymplectic formulation of fluid dynamics using the inverse map
C. J. Cotter, D. D. Holm, P. E. Hydon
We construct multisymplectic formulations of fluid dynamics using the inverse of the Lagrangian path map. This inverse map -- the ``back-to-labels'' map -- gives the initial Lagran…