112 citations · 1.1k across the 65 of their papers we have counts for
6 papers · 1 filter
Bayesian data assimilation in shape registration
C. J. Cotter, S. L. Cotter, F. -X. Vialard
In this paper we apply a Bayesian framework to the problem of geodesic curve matching. Given a template curve, the geodesic equations provide a mapping from initial conditions for…
A framework for the automation of generalised stability theory
Patrick E. Farrell, Colin J. Cotter, Simon W. Funke
The traditional approach to investigating the stability of a physical system is to linearise the equations about a steady base solution, and to examine the eigenvalues of the linea…
A variational formulation of vertical slice models
C. J. Cotter, D. D. Holm
A variational framework is defined for vertical slice models with three dimensional velocity depending only on x and z. The models that result from this framework are Hamiltonian,…
Ensemble filter techniques for intermittent data assimilation - a survey
Colin J. Cotter, Sebastian Reich
This survey paper is written with the intention of giving a mathematical introduction to filtering techniques for intermittent data assimilation, and to survey some recent advances…
A finite element exterior calculus framework for the rotating shallow-water equations
C. J. Cotter, J. Thuburn
We describe discretisations of the shallow water equations on the sphere using the framework of finite element exterior calculus, which are extensions of the mimetic finite differe…
On Noether's theorem for the Euler-Poincaré equation on the diffeomorphism group with advected quantities
Colin J. Cotter, Darryl D. Holm
We show how Noether conservation laws can be obtained from the particle relabelling symmetries in the Euler-Poincaré theory of ideal fluids with advected quantities. All calculatio…