Colin J. Cotter

Publication Activity (10 Years)

Years Active: 2004-2024
Publications (10 Years): 53

Top Topics

Particle Filter

Top Venues

J. Comput. Phys.

SIAM J. Sci. Comput.

SIAM/ASA J. Uncertain. Quantification

Publications

Thomas Melvin, Ben Shipway, Nigel Wood, Tommaso Benacchio, Thomas M. Bendall, Ian Boutle, Alex Brown, Christine Johnson, James Kent, Stephen Pring, Chris Smith, Mohamed Zerroukat, Colin J. Cotter, John Thuburn
A mixed finite-element, finite-volume, semi-implicit discretisation for atmospheric dynamics: Spherical geometry. CoRR (2024)
James Woodfield, Hilary Weller, Colin J. Cotter
New limiter regions for multidimensional flows. J. Comput. Phys. 515 (2024)
James Woodfield, Hilary Weller, Colin J. Cotter
New limiter regions for multidimensional flows. CoRR (2024)
Jean-David Benamou, Colin J. Cotter, H. Malamut
Entropic optimal transport solutions of the semigeostrophic equations. J. Comput. Phys. 500 (2024)
Andreas Bock, Colin J. Cotter, Robert C. Kirby
Planar curve registration using Bayesian inversion. Comput. Math. Appl. 159 (2024)
Andreas Bock, Colin J. Cotter, Robert C. Kirby
Planar Curve Registration using Bayesian Inversion. CoRR (2023)
Colin J. Cotter
Compatible finite element methods for geophysical fluid dynamics. CoRR (2023)
Colin J. Cotter
Compatible finite element methods for geophysical fluid dynamics. Acta Numer. 32 (2023)
Colin J. Cotter, Robert C. Kirby, Hunter Morris
Weighted-Norm Preconditioners for a Multilayer Tide Model. SIAM J. Sci. Comput. 45 (4) (2023)
Reuben W. Nixon-Hill, Daniel Shapero, Colin J. Cotter, David A. Ham
Consistent Point Data Assimilation in Firedrake and Icepack. CoRR (2023)
Colin J. Cotter, Jemma Shipton
A compatible finite element discretisation for the nonhydrostatic vertical slice equations. CoRR (2022)
Hiroe Yamazaki, Hilary Weller, Colin J. Cotter, Philip A. Browne
Conservation with moving meshes over orography. J. Comput. Phys. 461 (2022)
Charlie P. Egan, David P. Bourne, Colin J. Cotter, Mike J. P. Cullen, Beatrice Pelloni, Steven M. Roper, Mark Wilkinson
A new implementation of the geometric method for solving the Eady slice equations. CoRR (2022)
Werner Bauer, Colin J. Cotter, Beth A. Wingate
Higher Order Phase Averaging for Highly Oscillatory Systems. Multiscale Model. Simul. 20 (3) (2022)
Jack D. Betteridge, Colin J. Cotter, Thomas H. Gibson, Matthew J. Griffith, Thomas Melvin, Eike Hermann Müller
Hybridised multigrid preconditioners for a compatible finite element dynamical core. CoRR (2022)
Charlie P. Egan, David P. Bourne, Colin J. Cotter, Mike J. P. Cullen, Beatrice Pelloni, Steven M. Roper, Mark Wilkinson
A new implementation of the geometric method for solving the Eady slice equations. J. Comput. Phys. 469 (2022)
Mariana C. A. Clare, Stephan C. Kramer, Colin J. Cotter, Matthew D. Piggott
Calibration, inversion and sensitivity analysis for hydro-morphodynamic models through the application of adjoint methods. Comput. Geosci. 163 (2022)
Colin J. Cotter, Robert C. Kirby, Hunter Morris
Weighted-norm preconditioners for a multi-layer tide model. CoRR (2022)
Hiroe Yamazaki, Colin J. Cotter
Time parallel integration and phase averaging for the nonlinear shallow water equations on the sphere. CoRR (2021)
Mariana C. A. Clare, James R. Percival, Athanasios Angeloudis, Colin J. Cotter, Matthew D. Piggott
Hydro-morphodynamics 2D modelling using a discontinuous Galerkin discretisation. Comput. Geosci. 146 (2021)
Hiroe Yamazaki, Hilary Weller, Colin J. Cotter, Philip A. Browne
Conservation with moving meshes over orography. CoRR (2021)
Werner Bauer, Colin J. Cotter, Beth A. Wingate
Higher order phase averaging for highly oscillatory systems. CoRR (2021)
Andreas Bock, Colin J. Cotter
Learning landmark geodesics using Kalman ensembles. CoRR (2021)
Andreas Bock, Colin J. Cotter
A note on error analysis for a nonconforming discretisation of the tri-Helmholtz equation with singular data. CoRR (2021)
Colin J. Cotter, Dan Crisan, Darryl D. Holm, Wei Pan, Igor Shevchenko
A Particle Filter for Stochastic Advection by Lie Transport: A Case Study for the Damped and Forced Incompressible Two-Dimensional Euler Equation. SIAM/ASA J. Uncertain. Quantification 8 (4) (2020)
Golo A. Wimmer, Colin J. Cotter, Werner Bauer
Energy conserving upwinded compatible finite element schemes for the rotating shallow water equations. J. Comput. Phys. 401 (2020)
Andreas Bock, Colin J. Cotter
Space-time metamorphosis. CoRR (2020)
Golo A. Wimmer, Colin J. Cotter, Werner Bauer
Energy conserving SUPG methods for compatible finite element schemes in numerical weather prediction. CoRR (2020)
Werner Bauer, Jörn Behrens, Colin J. Cotter
A structure-preserving approximation of the discrete split rotating shallow water equations. CoRR (2019)
Colin J. Cotter, Simon L. Cotter, Paul T. Russell
Ensemble Transport Adaptive Importance Sampling. SIAM/ASA J. Uncertain. Quantification 7 (2) (2019)
Thomas M. Bendall, Colin J. Cotter, Jemma Shipton
The 'recovered space' advection scheme for lowest-order compatible finite element methods. J. Comput. Phys. 390 (2019)
Colin J. Cotter, Dan Crisan, Darryl D. Holm, Wei Pan, Igor Shevchenko
Numerically Modeling Stochastic Lie Transport in Fluid Dynamics. Multiscale Model. Simul. 17 (1) (2019)
Andreas Bock, Alexis Arnaudon, Colin J. Cotter
Selective metamorphosis for growth modelling with applications to landmarks. CoRR (2019)
Thomas M. Bendall, Thomas H. Gibson, Jemma Shipton, Colin J. Cotter, Ben Shipway
A Compatible Finite Element Discretisation for the Moist Compressible Euler Equations. CoRR (2019)
Werner Bauer, Jörn Behrens, Colin J. Cotter
A Structure-Preserving Approximation of the Discrete Split Rotating Shallow Water Equations. ENUMATH (2019)
Andreas Bock, Alexis Arnaudon, Colin J. Cotter
Selective Metamorphosis for Growth Modelling with Applications to Landmarks. GSI (2019)
Thomas M. Bendall, Colin J. Cotter, Darryl D. Holm
Perspectives on the Formation of Peakons in the Stochastic Camassa-Holm Equation. CoRR (2019)
Colin J. Cotter, Dan Crisan, Darryl D. Holm, Wei Pan, Igor Shevchenko
Data assimilation for a quasi-geostrophic model with circulation-preserving stochastic transport noise. CoRR (2019)
Jemma Shipton, Thomas H. Gibson, Colin J. Cotter
Higher-order compatible finite element schemes for the nonlinear rotating shallow water equations on the sphere. J. Comput. Phys. 375 (2018)
Werner Bauer, Colin J. Cotter
Energy-enstrophy conserving compatible finite element schemes for the rotating shallow water equations with slip boundary conditions. J. Comput. Phys. 373 (2018)
Thomas H. Gibson, Lawrence Mitchell, David A. Ham, Colin J. Cotter
A domain-specific language for the hybridization and static condensation of finite element methods. CoRR (2018)
Colin J. Cotter, P. Jameson Graber, Robert C. Kirby
Mixed finite elements for global tide models with nonlinear damping. Numerische Mathematik 140 (4) (2018)
Chris J. Budd, Andrew T. T. McRae, Colin J. Cotter
The scaling and skewness of optimally transported meshes on the sphere. J. Comput. Phys. 375 (2018)
Andrew T. T. McRae, Colin J. Cotter, Chris J. Budd
Optimal-Transport-Based Mesh Adaptivity on the Plane and Sphere Using Finite Elements. SIAM J. Sci. Comput. 40 (2) (2018)
Chris J. Budd, Andrew T. T. McRae, Colin J. Cotter
The geometry of optimally transported meshes on the sphere. CoRR (2017)
Hiroe Yamazaki, Jemma Shipton, Michael J. P. Cullen, Lawrence Mitchell, Colin J. Cotter
Vertical slice modelling of nonlinear Eady waves using a compatible finite element method. J. Comput. Phys. 343 (2017)
Alastair Gregory, Colin J. Cotter
A Seamless Multilevel Ensemble Transform Particle Filter. SIAM J. Sci. Comput. 39 (6) (2017)
Alastair Gregory, Colin J. Cotter, Sebastian Reich
Multilevel Ensemble Transform Particle Filtering. SIAM J. Sci. Comput. 38 (3) (2016)
Colin J. Cotter, Dmitri Kuzmin
Embedded discontinuous Galerkin transport schemes with localised limiters. J. Comput. Phys. 311 (2016)
Colin J. Cotter, Jaap Eldering, Darryl D. Holm, Henry O. Jacobs, David M. Meier
Weak Dual Pairs and Jetlet Methods for Ideal Incompressible Fluid Models in n≥2 Dimensions. J. Nonlinear Sci. 26 (6) (2016)
Colin J. Cotter, Robert C. Kirby
Mixed finite elements for global tide models. Numerische Mathematik 133 (2) (2016)
Andrew T. T. McRae, Gheorghe-Teodor Bercea, Lawrence Mitchell, David A. Ham, Colin J. Cotter
Automated Generation and Symbolic Manipulation of Tensor Product Finite Elements. SIAM J. Sci. Comput. 38 (5) (2016)
John Thuburn, Colin J. Cotter
A primal-dual mimetic finite element scheme for the rotating shallow water equations on polygonal spherical meshes. J. Comput. Phys. 290 (2015)
Patrick E. Farrell, Colin J. Cotter, Simon W. Funke
A Framework for the Automation of Generalized Stability Theory. SIAM J. Sci. Comput. 36 (1) (2014)
Colin J. Cotter, John Thuburn
A finite element exterior calculus framework for the rotating shallow-water equations. J. Comput. Phys. 257 (2014)
Andrew T. T. McRae, Gheorghe-Teodor Bercea, Lawrence Mitchell, David A. Ham, Colin J. Cotter
Automated generation and symbolic manipulation of tensor product finite elements. CoRR (2014)
Colin J. Cotter, Darryl D. Holm
On Noether's Theorem for the Euler-Poincaré Equation on the Diffeomorphism Group with Advected Quantities. Found. Comput. Math. 13 (4) (2013)
François-Xavier Vialard, Laurent Risser, Daniel Rueckert, Colin J. Cotter
Diffeomorphic 3D Image Registration via Geodesic Shooting Using an Efficient Adjoint Calculation. Int. J. Comput. Vis. 97 (2) (2012)
John Thuburn, Colin J. Cotter
A Framework for Mimetic Discretization of the Rotating Shallow-Water Equations on Arbitrary Polygonal Grids. SIAM J. Sci. Comput. 34 (3) (2012)
Patrick E. Farrell, Colin J. Cotter, Simon W. Funke
A framework for the automation of generalised stability theory CoRR (2012)
Colin J. Cotter, Allan Clark, Joaquim Peiró
A Reparameterisation Based Approach to Geodesic Constrained Solvers for Curve Matching. Int. J. Comput. Vis. 99 (1) (2012)
Colin J. Cotter, Jemma Shipton
Mixed finite elements for numerical weather prediction. J. Comput. Phys. 231 (21) (2012)
Colin J. Cotter, David A. Ham
-P2 finite element pair. J. Comput. Phys. 230 (8) (2011)
Colin J. Cotter, Darryl D. Holm
Continuous and Discrete Clebsch Variational Principles. Found. Comput. Math. 9 (2) (2009)
Colin J. Cotter, David A. Ham, Christopher C. Pain, Sebastian Reich
LBB stability of a mixed Galerkin finite element pair for fluid flow simulations. J. Comput. Phys. 228 (2) (2009)
Colin J. Cotter, Sebastian Reich
Semigeostrophic Particle Motion and Exponentially Accurate Normal forms. Multiscale Model. Simul. 5 (2) (2006)
Colin J. Cotter, Jason Frank, Sebastian Reich
Hamiltonian Particle-Mesh Method for Two-Layer Shallow-Water Equations Subject to the Rigid-Lid Approximation. SIAM J. Appl. Dyn. Syst. 3 (1) (2004)