My Publications

A list of all the papers I have submitted to the ArXiV is here.

Submitted Papers

• C. J. Cotter, D. A. Ham, C. C. Pain, A mixed discontinuous/continuous finite element pair for shallow-water ocean modelling, 2008. here.
• C. J. Cotter, D. A. Ham, C. C. Pain and S. Reich, LBB stability of a mixed discontinuous/continuous Galerkin finite element pair, 2007. here.

Refereed Papers

1. J. R. Percival, C. J. Cotter and D. D. Holm, An Euler-Poincare framework for the multi-layer Green-Nagdhi equations , to appear in J, Phys. A, 2008.
2. C. J. Cotter, The variational particle-mesh method for matching curves, to appear in J, Phys. A, 2008. here.
3. C. J. Cotter and D. D. Holm, Discrete Momentum Maps for Lattice EP-Diff, to appear in Handbook of Numerical Analysis, 2008. here.
4. C. J. Cotter and D. D. Holm, Continuous and Discrete Clebsch Variational Principles, to appear in J. FoCM, 2008 here.
5. C. J. Cotter and G. J. Gorman, Diagnostic tools for 3D unstructured oceanographic data, Ocean Model., 2008, Vol: 20, 170-182. here.
6. M. D. Piggott, C. C. Pain, G. J. Gorman, et al , Multi-scale ocean modelling with adapting unstructured grids, CLIVAR Exchanges, 2007, Vol: 12, Pages: 21 - 23, ISSN: 1026-0471
7. C. J. Cotter, D. D. Holm and P. E. Hydon, Multisymplectic formulation of fluid dynamics using the inverse map . Proc. Roy. Soc. A, 463, pg 2671. 2007. here.
8. C. J. Cotter, J. Frank and S. Reich, The remapped particle-mesh advection scheme Quarterly Journal of the Royal Meteorological Society, 133, January 2007, 251-260 here.
9. C. J. Cotter and S. Reich, Semi-geostrophic Particle Motion and Exponentially Accurate Normal Forms, SIAM Multiscale Modelling 5, 476-496, 2006. here.
10. C.J. Cotter and S. Reich, Time Stepping Algorithms for Classical Molecular Dynamics. Computational Nanotechnology (eds. M. Rieth and W. Schommers) 2005 here.
11. C.J. Cotter and S. Reich, Adiabatic invariance and applications to MD and NWP. BIT Numerical Mathematics 44 (3): 439-455, August 2004. here.
12. C. J. Cotter, J. Frank and S. Reich, Hamiltonian particle-mesh method for two-layer shallow-water equations subject to the rigid-lid approximation. SIAM J Applied Dynamical Systems 3, 69-83, 2004. here.
13. C. J. Cotter and S. Reich, Geometric integration of a weak-wave model. Applied Numerical Mathematics 48, 293-305, 2004. here.
14. C. J. Cotter and S. Reich, An extended dissipative particle dynamics model. Europhys. Lett. 64, 723-729, 2003. here.

Some papers in preparation (with varying degrees of completeness, collaborators and definiteness of title)

• C. J. Cotter and G. Pavliotis, Estimating eddy diffusivity from Lagrangian Data
• O. Bokhove and C. J. Cotter, A variational Boussinesq model with horizontal circulation
• C. J. Cotter, Data assimilation on the slow manifold
• C. J. Cotter and J. C. Vassilicos, Dynamical structure of stagnation points in turbulence.

PhD Thesis

• Model Reduction for Shallow Water Dynamics: Balance, Adiabatic Invariance and Subgrid Modelling. Department of Mathematics, Imperial College London 2004. here.

Other notes

• C. J. Cotter and D. Holm, Singular solutions, momentum maps and computational anatomy , 2006. here.
• C. J. Cotter, A general approach for producing Hamiltonian numerical schemes for fluid equations, 2005. here.