245 citations · 1.1k across the 51 of their papers we have counts for
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Comparison of Stochastic Parametrization Schemes using Data Assimilation on Triad Models
Bertrand Chapron, Dan Crisan, Darryl Holm +3
In recent years, stochastic parametrizations have been ubiquitous in modelling uncertainty in fluid dynamics models. One source of model uncertainty comes from the coarse graining…
Noise and dissipation in rigid body motion
Alexis Arnaudon, Alex L. De Castro, Darryl D. Holm
Using the rigid body as an example, we illustrate some features of stochastic geometric mechanics. These features include: i) a geometric variational motivation for the noise struc…
The n:m resonance dual pair
Darryl D. Holm, Cornelia Vizman
In this paper we build dual pairs of Poisson maps \[ \RR\stackrel{R_\pm}{\longleftarrow}(D,\om_\pm) \stackrel{Π_\pm}{\longrightarrow} B \] associated to resonance, as well as…
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…
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…