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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)

In this book the authors describe the principles and methods behind probabilistic forecasting and Bayesian data assimilation. Instead of focusing on particular application areas, the authors adopt aâ€¦ (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)

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

We study a family of Sobolev-type Riemannian metrics of order one on the space Imm(S1,R2) of parametrized plane curves and the quotient space Imm(S1,R2)/Diff(S1) of unparametrized curves. Thereâ€¦ (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)

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)

- David A. Ham, P. E. Farrell, +7 authors Matthew D. Piggott
- 2008

The interfaces by which users specify the scenarios to be simulated by scientific computer models are frequently primitive, under-documented and ad-hoc text files which make using the model inâ€¦ (More)

- Andrew T. T. McRae, Gheorghe-Teodor Bercea, Lawrence Mitchell, David A. Ham, Colin J. Cotter
- SIAM J. Scientific Computing
- 2016

We describe and implement a symbolic algebra for scalar and vector-valued finite elements, enabling the computer generation of elements with tensor product structure on quadrilateral, hexahedral, andâ€¦ (More)

- Colin J. Cotter, Sebastian Reich
- Multiscale Modeling & Simulation
- 2006

We give an exponentially-accurate normal form for a Lagrangian particle moving in a rotating shallow-water system in the semi-geostrophic limit, which describes the motion in the region of anâ€¦ (More)