Hamiltonian Particle-Mesh Method for Two-Layer Shallow-Water Equations Subject to the Rigid-Lid Approximation. - Colin J. Cotter; Jason Frank; Sebastian Reich (SIAM J. Appl. Dyn. Syst., 2004)

Semigeostrophic Particle Motion and Exponentially Accurate Normal forms. - Colin J. Cotter; Sebastian Reich (Multiscale Model. Simul., 2006)

Continuous and Discrete Clebsch Variational Principles. - Colin J. Cotter; Darryl D. Holm (Found. Comput. Math., 2009)

LBB stability of a mixed Galerkin finite element pair for fluid flow simulations. - Colin J. Cotter; David A. Ham; Christopher C. Pain; Sebastian Reich (J. Comput. Phys., 2009)

Numerical wave propagation for the triangular P1DG-P2 finite element pair. - Colin J. Cotter; David A. Ham (J. Comput. Phys., 2011)

A framework for the automation of generalised stability theory - Patrick E. Farrell; Colin J. Cotter; Simon W. Funke (CoRR, 2012)

A Reparameterisation Based Approach to Geodesic Constrained Solvers for Curve Matching. - Colin J. Cotter; Allan Clark; Joaquim Peiró (Int. J. Comput. Vis., 2012)

Diffeomorphic 3D Image Registration via Geodesic Shooting Using an Efficient Adjoint Calculation. - François-Xavier Vialard; Laurent Risser; Daniel Rueckert; Colin J. Cotter (Int. J. Comput. Vis., 2012)

Mixed finite elements for numerical weather prediction. - Colin J. Cotter; Jemma Shipton (J. Comput. Phys., 2012)

A Framework for Mimetic Discretization of the Rotating Shallow-Water Equations on Arbitrary Polygonal Grids. - John Thuburn; Colin J. Cotter (SIAM J. Sci. Comput., 2012)

On Noether's Theorem for the Euler-Poincaré Equation on the Diffeomorphism Group with Advected Quantities. - Colin J. Cotter; Darryl D. Holm (Found. Comput. Math., 2013)

A finite element exterior calculus framework for the rotating shallow-water equations. - Colin J. Cotter; John Thuburn (J. Comput. Phys., 2014)

A Framework for the Automation of Generalized Stability Theory. - Patrick E. Farrell; Colin J. Cotter; Simon W. Funke (SIAM J. Sci. Comput., 2014)

A primal-dual mimetic finite element scheme for the rotating shallow water equations on polygonal spherical meshes. - John Thuburn; Colin J. Cotter (J. Comput. Phys., 2015)

Embedded discontinuous Galerkin transport schemes with localised limiters. - Colin J. Cotter; Dmitri Kuzmin (J. Comput. Phys., 2016)

Weak Dual Pairs and Jetlet Methods for Ideal Incompressible Fluid Models in n≥2 Dimensions. - Colin J. Cotter; Jaap Eldering; Darryl D. Holm; Henry O. Jacobs; David M. Meier (J. Nonlinear Sci., 2016)

Mixed finite elements for global tide models. - Colin J. Cotter; Robert C. Kirby (Numerische Mathematik, 2016)

Multilevel Ensemble Transform Particle Filtering. - Alastair Gregory; Colin J. Cotter; Sebastian Reich (SIAM J. Sci. Comput., 2016)

Automated Generation and Symbolic Manipulation of Tensor Product Finite Elements. - Andrew T. T. McRae; Gheorghe-Teodor Bercea; Lawrence Mitchell; David A. Ham; Colin J. Cotter (SIAM J. Sci. Comput., 2016)

The geometry of optimally transported meshes on the sphere. - Chris J. Budd; Andrew T. T. McRae; Colin J. Cotter (CoRR, 2017)

Vertical slice modelling of nonlinear Eady waves using a compatible finite element method. - Hiroe Yamazaki; Jemma Shipton; Michael J. P. Cullen; Lawrence Mitchell; Colin J. Cotter (J. Comput. Phys., 2017)

A Seamless Multilevel Ensemble Transform Particle Filter. - Alastair Gregory; Colin J. Cotter (SIAM J. Sci. Comput., 2017)

A domain-specific language for the hybridization and static condensation of finite element methods. - Thomas H. Gibson; Lawrence Mitchell; David A. Ham; Colin J. Cotter (CoRR, 2018)

Energy-enstrophy conserving compatible finite element schemes for the rotating shallow water equations with slip boundary conditions. - Werner Bauer; Colin J. Cotter (J. Comput. Phys., 2018)

The scaling and skewness of optimally transported meshes on the sphere. - Chris J. Budd; Andrew T. T. McRae; Colin J. Cotter (J. Comput. Phys., 2018)

Higher-order compatible finite element schemes for the nonlinear rotating shallow water equations on the sphere. - Jemma Shipton; Thomas H. Gibson; Colin J. Cotter (J. Comput. Phys., 2018)

Mixed finite elements for global tide models with nonlinear damping. - Colin J. Cotter; P. Jameson Graber; Robert C. Kirby (Numerische Mathematik, 2018)

Optimal-Transport-Based Mesh Adaptivity on the Plane and Sphere Using Finite Elements. - Andrew T. T. McRae; Colin J. Cotter; Chris J. Budd (SIAM J. Sci. Comput., 2018)

A Structure-Preserving Approximation of the Discrete Split Rotating Shallow Water Equations. - Werner Bauer; Jörn Behrens; Colin J. Cotter (ENUMATH, 2019)

Selective Metamorphosis for Growth Modelling with Applications to Landmarks. - Andreas A. Bock; Alexis Arnaudon; Colin J. Cotter (GSI, 2019)

A Compatible Finite Element Discretisation for the Moist Compressible Euler Equations. - Thomas M. Bendall; Thomas H. Gibson; Jemma Shipton; Colin J. Cotter; Ben Shipway (CoRR, 2019)

Perspectives on the Formation of Peakons in the Stochastic Camassa-Holm Equation. - Thomas M. Bendall; Colin J. Cotter; Darryl D. Holm (CoRR, 2019)

Data assimilation for a quasi-geostrophic model with circulation-preserving stochastic transport noise. - Colin J. Cotter; Dan Crisan; Darryl D. Holm; Wei Pan 006; Igor Shevchenko (CoRR, 2019)

The 'recovered space' advection scheme for lowest-order compatible finite element methods. - Thomas M. Bendall; Colin J. Cotter; Jemma Shipton (J. Comput. Phys., 2019)

Ensemble Transport Adaptive Importance Sampling. - Colin J. Cotter; Simon L. Cotter; Paul T. Russell (SIAM/ASA J. Uncertain. Quantification, 2019)

Numerically Modeling Stochastic Lie Transport in Fluid Dynamics. - Colin J. Cotter; Dan Crisan; Darryl D. Holm; Wei Pan 006; Igor Shevchenko (Multiscale Model. Simul., 2019)

Energy conserving SUPG methods for compatible finite element schemes in numerical weather prediction. - Golo A. Wimmer; Colin J. Cotter; Werner Bauer (CoRR, 2020)

Space-time metamorphosis. - Andreas A. Bock; Colin J. Cotter (CoRR, 2020)

Energy conserving upwinded compatible finite element schemes for the rotating shallow water equations. - Golo A. Wimmer; Colin J. Cotter; Werner Bauer (J. Comput. Phys., 2020)

A Particle Filter for Stochastic Advection by Lie Transport: A Case Study for the Damped and Forced Incompressible Two-Dimensional Euler Equation. - Colin J. Cotter; Dan Crisan; Darryl D. Holm; Wei Pan 006; Igor Shevchenko (SIAM/ASA J. Uncertain. Quantification, 2020)

A note on error analysis for a nonconforming discretisation of the tri-Helmholtz equation with singular data. - Andreas A. Bock; Colin J. Cotter (CoRR, 2021)

Time parallel integration and phase averaging for the nonlinear shallow water equations on the sphere. - Hiroe Yamazaki; Colin J. Cotter (CoRR, 2021)

Learning landmark geodesics using Kalman ensembles. - Andreas A. Bock; Colin J. Cotter (CoRR, 2021)

Hydro-morphodynamics 2D modelling using a discontinuous Galerkin discretisation. - Mariana C. A. Clare; James R. Percival; Athanasios Angeloudis; Colin J. Cotter; Matthew D. Piggott (Comput. Geosci., 2021)

Weighted-norm preconditioners for a multi-layer tide model. - Colin J. Cotter; Robert C. Kirby; Hunter Morris (CoRR, 2022)

A compatible finite element discretisation for the nonhydrostatic vertical slice equations. - Colin J. Cotter; Jemma Shipton (CoRR, 2022)

Hybridised multigrid preconditioners for a compatible finite element dynamical core. - Jack D. Betteridge; Colin J. Cotter; Thomas H. Gibson; Matthew J. Griffith; Thomas Melvin; Eike Hermann Müller (CoRR, 2022)

Calibration, inversion and sensitivity analysis for hydro-morphodynamic models through the application of adjoint methods. - Mariana C. A. Clare; Stephan C. Kramer; Colin J. Cotter; Matthew D. Piggott (Comput. Geosci., 2022)

A new implementation of the geometric method for solving the Eady slice equations. - Charlie P. Egan; David P. Bourne; Colin J. Cotter; Mike J. P. Cullen; Beatrice Pelloni; Steven M. Roper; Mark Wilkinson (J. Comput. Phys., 2022)

Conservation with moving meshes over orography. - Hiroe Yamazaki; Hilary Weller; Colin J. Cotter; Philip A. Browne (J. Comput. Phys., 2022)

Higher Order Phase Averaging for Highly Oscillatory Systems. - Werner Bauer; Colin J. Cotter; Beth A. Wingate (Multiscale Model. Simul., 2022)

Consistent Point Data Assimilation in Firedrake and Icepack. - Reuben W. Nixon-Hill; Daniel Shapero; Colin J. Cotter; David A. Ham (CoRR, 2023)

Compatible finite element methods for geophysical fluid dynamics. - Colin J. Cotter (Acta Numer., 2023)

Weighted-Norm Preconditioners for a Multilayer Tide Model. - Colin J. Cotter; Robert C. Kirby; Hunter Morris (SIAM J. Sci. Comput., 2023)

Planar curve registration using Bayesian inversion. - Andreas A. Bock; Colin J. Cotter; Robert C. Kirby (Comput. Math. Appl., 2024)

Data assimilation for the stochastic Camassa-Holm equation using particle filtering: a numerical investigation. - Colin John Cotter; Dan Crisan; Maneesh Kumar Singh 003 (CoRR, 2024)

A mixed finite-element, finite-volume, semi-implicit discretisation for atmospheric dynamics: Spherical geometry. - 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; et al. (CoRR, 2024)

asQ: parallel-in-time finite element simulations using ParaDiag for geoscientific models and beyond. - Joshua Hope-Collins; Abdalaziz Hamdan; Werner Bauer; Lawrence Mitchell; Colin J. Cotter (CoRR, 2024)

New limiter regions for multidimensional flows. - James Woodfield; Hilary Weller; Colin J. Cotter (J. Comput. Phys., 2024)

Entropic optimal transport solutions of the semigeostrophic equations. - Jean-David Benamou; Colin J. Cotter; Hugo Malamut (J. Comput. Phys., 2024)

A vertical slice frontogenesis test case for compressible nonhydrostatic dynamical cores of atmospheric models. - Hiroe Yamazaki; Colin J. Cotter (CoRR, 2025)

Shifted HSS preconditioners for the indefinite Helmholtz equation. - Colin J. Cotter; Kars Knook; Joshua Hope-Collins (CoRR, 2025)

Entropic approximations of the semigeostrophic shallow water equations. - Jean-David Benamou; Colin J. Cotter; Jacob J. M. Francis; Hugo Malamut (CoRR, 2025)

Data assimilation using a global Girsanov nudged particle filter. - Maneesh Kumar Singh 003; Joshua Hope-Collins; Colin J. Cotter; Dan Crisan (CoRR, 2025)

Fully implicit timestepping methods for the rotating shallow water equations. - Werner Bauer; Colin J. Cotter (CoRR, 2025)