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- FranÃ§ois-Xavier Vialard, Laurent Risser, Daniel Rueckert, Colin J. Cotter
- International Journal of Computer Vision
- 2011

In the context of large deformations by diffeomorphisms, we propose a new diffeomorphic registration algorithm for 3D images that performs the optimization directly on the set of geodesic flows. Theâ€¦ (More)

- Colin J. Cotter, Jemma Shipton
- J. Comput. Physics
- 2012

We show how mixed finite element methods that satisfy the conditions of finite element exterior calculus can be used for the horizontal discretisation of dynamical cores for numerical weatherâ€¦ (More)

- Colin J. Cotter, David A. Ham
- J. Comput. Physics
- 2011

The f -plane and Î²-plane wave propagation properties are examined for discretisations of the linearized rotating shallow-water equations using the P1DG-P2 finite element pair on arbitraryâ€¦ (More)

This paper describes the variational formulation of template matching problems of computational anatomy (CA); introduces the EPDiff evolution equation in the context of an analogy between CA andâ€¦ (More)

We introduce a mixed discontinuous/continuous finite element pair for ocean modelling, with continuous quadratic layer thickness and discontinuous velocity. We investigate the finite element pairâ€¦ (More)

- Colin J. Cotter, John Thuburn
- J. Comput. Physics
- 2014

6 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 difference frameworkâ€¦ (More)

- Colin J. Cotter, Darryl D. Holm
- Foundations of Computational Mathematics
- 2009

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 control dynamics on theâ€¦ (More)

Currently, most operational forecasting models use latitudeâ€“longitude grids, whose convergence of meridians toward the poles limits parallel scaling. Quasi-uniform grids might avoid this limitation.â€¦ (More)

- John Thuburn, Colin J. Cotter
- SIAM J. Scientific Computing
- 2012

Accurate simulation of atmospheric flow in weather and climate prediction models requires the discretization of the governing equations to have a number of desirable properties. Although theseâ€¦ (More)

- Colin J. Cotter
- 2005

Given a fluid equation with reduced Lagrangian l which is a functional of velocity u and advected density D given in Eulerian coordinates, we give a general method for semidiscretising the equationsâ€¦ (More)