Imperial College London

DrColinCotter

Faculty of Natural SciencesDepartment of Mathematics

Senior Lecturer in Numerical Analysis/Scientific Computing
 
 
 
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Contact

 

+44 (0)20 7594 3468colin.cotter

 
 
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Location

 

755Huxley BuildingSouth Kensington Campus

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Summary

 

Summary

My research in numerical analysis and scientific computing focusses on the design, analysis and implementation of numerical methods for weather forecasting, ocean modelling and climate simulation. Recently, I have been developing compatible finite element methods for these applications. I am motivated by the geometric variational structure of fluid equations, which are also relevant for algorithms for exploring the geometric structure of shapes and images. I also develop numerical algorithms for probabilistic forecasting and data assimilation.

I am the Undergraduate Admissions Tutor for the Department of Mathematics, the co-Director of Studies for the Mathematics of Planet Earth Centre for Doctoral Training, and a co-Investigator for the Platform for Research in Simulation Methods. I am also an Associate Editor for the Quarterly Journal of the Royal Meteorological Society, and a member of the EPSRC peer review college. I supervise 2 PhD students and 2 postdoctoral research associates.

If you are a student looking to do a PhD with me, please take a look at the following opportunities:

Unfortunately these studentships are only available for students with UK/EU fee status. Please contact me by email for more information.

Biography

  • Senior Lecturer in the Department of Mathematics, Imperial College London, November 2013 to date
  • Senior Lecturer in the Department of Aeronautics, Imperial College London 2010-2013
  • Lecturer in the Department of Aeronautics, Imperial College London 2006-2010
  • Postdoctoral researcher in the Department of Mathematics, Imperial College London 2005-2006
  • Postdoctoral researcher in the Department of Earth Science and Engineering, Imperial College London 2004-2005
  • PhD Mathematics, Imperial College London 2000-2004
  • Part III, Mathematics, Fitzwilliam College, Cambridge University 1999-2000
  • BA Mathematics, Fitzwilliam College, Cambridge University 1996-1999

    My Google Scholar profile is here. Preprints of many of my papers can be found here. I also keep a blog here.

Selected Publications

Journal Articles

Cotter CJ, Thuburn J, 2014, A finite element exterior calculus framework for the rotating shallow-water equations, Journal of Computational Physics, Vol:257, ISSN:0021-9991, Pages:1506-1526

Visram AR, Cotter CJ, Cullen MJP, 2014, A framework for evaluating model error using asymptotic convergence in the Eady model, Quarterly Journal of the Royal Meteorological Society, ISSN:0035-9009, Pages:n/a-n/a

McRae ATT, Cotter CJ, 2014, Energy- and enstrophy-conserving schemes for the shallow-water equations, based on mimetic finite elements, Quarterly Journal of the Royal Meteorological Society

Cotter CJ, Holm DD, 2013, A variational formulation of vertical slice models, Proc. R. Soc. A, Vol:469

Cotter C, 2013, Data assimilation on the exponentially accurate slow manifold, Royal Society of London. Philosophical Transactions A. Mathematical, Physical and Engineering Sciences, Vol:371, ISSN:1364-503X

Cotter CJ, Cotter SL, Vialard F-X, 2013, Bayesian data assimilation in shape registration, Inverse Problems, Vol:29, ISSN:0266-5611

Cotter CJ, Holm DD, 2013, On Noether's Theorem for the Euler-Poincar, Equation on the Diffeomorphism Group with Advected Quantities, Foundations of Computational Mathematics, Vol:13, ISSN:1615-3375, Pages:457-477

Thuburn J, Cotter CJ, 2012, A FRAMEWORK FOR MIMETIC DISCRETIZATION OF THE ROTATING SHALLOW-WATER EQUATIONS ON ARBITRARY POLYGONAL GRIDS, SIAM Journal on Scientific Computing, Vol:34, ISSN:1064-8275, Pages:B203-B225

Cotter CJ, Clark A, Peiro J, 2012, A Reparameterisation Based Approach to Geodesic Constrained Solvers for Curve Matching, International Journal of Computer Vision, Vol:99, ISSN:0920-5691, Pages:103-121

Cotter CJ, Shipton J, 2012, Mixed finite elements for numerical weather prediction, Journal of Computational Physics, Vol:231, ISSN:0021-9991, Pages:7076-7091

Cotter CJ, Ham DA, 2011, Numerical wave propagation for the triangular P1(DG)-P2 finite element pair, Journal of Computational Physics, Vol:230, ISSN:0021-9991, Pages:2806-2820

Cotter C, Bokhove O, 2010, Variational water-wave model with accurate dispersion and vertical vorticity, Journal of Engineering Mathematics, Vol:67, ISSN:0022-0833, Pages:33-54

Cotter CJ, Holm DD, 2010, GEODESIC BOUNDARY VALUE PROBLEMS WITH SYMMETRY, Journal of Geometric Mechanics, Vol:2, ISSN:1941-4889, Pages:51-68

More Publications