Colin J. Cotter

73 papers Journal 71Unranked 2

Year	Rank	Type	Title / Venue / Authors
2025	J	`jnl`	A vertical slice frontogenesis test case for compressible nonhydrostatic dynamical cores of atmospheric models. CoRR Hiroe Yamazaki, Colin J. Cotter
2025	J	`jnl`	Data assimilation using a global Girsanov nudged particle filter. CoRR Maneesh Kumar Singh, Joshua Hope-Collins, Colin J. Cotter, Dan Crisan
2025	J	`jnl`	Entropic approximations of the semigeostrophic shallow water equations. CoRR Jean-David Benamou, Colin J. Cotter, Jacob J. M. Francis, Hugo Malamut
2025	J	`jnl`	Fully implicit timestepping methods for the rotating shallow water equations. CoRR Werner Bauer, Colin J. Cotter
2025	J	`jnl`	Shifted HSS preconditioners for the indefinite Helmholtz equation. CoRR Colin J. Cotter, Kars Knook, Joshua Hope-Collins
2024	J	`jnl`	A mixed finite-element, finite-volume, semi-implicit discretisation for atmospheric dynamics: Spherical geometry. CoRR 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
2024	J	`jnl`	Entropic optimal transport solutions of the semigeostrophic equations. J. Comput. Phys. Jean-David Benamou, Colin J. Cotter, Hugo Malamut
2024	J	`jnl`	New limiter regions for multidimensional flows. CoRR James Woodfield, Hilary Weller, Colin J. Cotter
2024	J	`jnl`	New limiter regions for multidimensional flows. J. Comput. Phys. James Woodfield, Hilary Weller, Colin J. Cotter
2024	J	`jnl`	Planar curve registration using Bayesian inversion. Comput. Math. Appl. Andreas A. Bock, Colin J. Cotter, Robert C. Kirby
2024	J	`jnl`	asQ: parallel-in-time finite element simulations using ParaDiag for geoscientific models and beyond. CoRR Joshua Hope-Collins, Abdalaziz Hamdan, Werner Bauer, Lawrence Mitchell, Colin J. Cotter
2023	J	`jnl`	Compatible finite element methods for geophysical fluid dynamics. Acta Numer. Colin J. Cotter
2023	J	`jnl`	Compatible finite element methods for geophysical fluid dynamics. CoRR Colin J. Cotter
2023	J	`jnl`	Consistent Point Data Assimilation in Firedrake and Icepack. CoRR Reuben W. Nixon-Hill, Daniel Shapero, Colin J. Cotter, David A. Ham
2023	J	`jnl`	Planar Curve Registration using Bayesian Inversion. CoRR Andreas A. Bock, Colin J. Cotter, Robert C. Kirby
2023	J	`jnl`	Weighted-Norm Preconditioners for a Multilayer Tide Model. SIAM J. Sci. Comput. Colin J. Cotter, Robert C. Kirby, Hunter Morris
2022	J	`jnl`	A compatible finite element discretisation for the nonhydrostatic vertical slice equations. CoRR Colin J. Cotter, Jemma Shipton
2022	J	`jnl`	A new implementation of the geometric method for solving the Eady slice equations. CoRR Charlie P. Egan, David P. Bourne, Colin J. Cotter, Mike J. P. Cullen, Beatrice Pelloni, Steven M. Roper, Mark Wilkinson
2022	J	`jnl`	A new implementation of the geometric method for solving the Eady slice equations. J. Comput. Phys. Charlie P. Egan, David P. Bourne, Colin J. Cotter, Mike J. P. Cullen, Beatrice Pelloni, Steven M. Roper, Mark Wilkinson
2022	J	`jnl`	Calibration, inversion and sensitivity analysis for hydro-morphodynamic models through the application of adjoint methods. Comput. Geosci. Mariana C. A. Clare, Stephan C. Kramer, Colin J. Cotter, Matthew D. Piggott
2022	J	`jnl`	Conservation with moving meshes over orography. J. Comput. Phys. Hiroe Yamazaki, Hilary Weller, Colin J. Cotter, Philip A. Browne
2022	J	`jnl`	Higher Order Phase Averaging for Highly Oscillatory Systems. Multiscale Model. Simul. Werner Bauer, Colin J. Cotter, Beth A. Wingate
2022	J	`jnl`	Hybridised multigrid preconditioners for a compatible finite element dynamical core. CoRR Jack D. Betteridge, Colin J. Cotter, Thomas H. Gibson, Matthew J. Griffith, Thomas Melvin, Eike Hermann Müller
2022	J	`jnl`	Weighted-norm preconditioners for a multi-layer tide model. CoRR Colin J. Cotter, Robert C. Kirby, Hunter Morris
2021	J	`jnl`	A note on error analysis for a nonconforming discretisation of the tri-Helmholtz equation with singular data. CoRR Andreas A. Bock, Colin J. Cotter
2021	J	`jnl`	Conservation with moving meshes over orography. CoRR Hiroe Yamazaki, Hilary Weller, Colin J. Cotter, Philip A. Browne
2021	J	`jnl`	Higher order phase averaging for highly oscillatory systems. CoRR Werner Bauer, Colin J. Cotter, Beth A. Wingate
2021	J	`jnl`	Hydro-morphodynamics 2D modelling using a discontinuous Galerkin discretisation. Comput. Geosci. Mariana C. A. Clare, James R. Percival, Athanasios Angeloudis, Colin J. Cotter, Matthew D. Piggott
2021	J	`jnl`	Learning landmark geodesics using Kalman ensembles. CoRR Andreas A. Bock, Colin J. Cotter
2021	J	`jnl`	Time parallel integration and phase averaging for the nonlinear shallow water equations on the sphere. CoRR Hiroe Yamazaki, Colin J. Cotter
2020	J	`jnl`	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 Colin J. Cotter, Dan Crisan, Darryl D. Holm, Wei Pan, Igor Shevchenko
2020	J	`jnl`	Energy conserving SUPG methods for compatible finite element schemes in numerical weather prediction. CoRR Golo A. Wimmer, Colin J. Cotter, Werner Bauer
2020	J	`jnl`	Energy conserving upwinded compatible finite element schemes for the rotating shallow water equations. J. Comput. Phys. Golo A. Wimmer, Colin J. Cotter, Werner Bauer
2020	J	`jnl`	Space-time metamorphosis. CoRR Andreas A. Bock, Colin J. Cotter
2019	J	`jnl`	A Compatible Finite Element Discretisation for the Moist Compressible Euler Equations. CoRR Thomas M. Bendall, Thomas H. Gibson, Jemma Shipton, Colin J. Cotter, Ben Shipway
2019	—	`conf`	A Structure-Preserving Approximation of the Discrete Split Rotating Shallow Water Equations. ENUMATH Werner Bauer, Jörn Behrens, Colin J. Cotter
2019	J	`jnl`	A structure-preserving approximation of the discrete split rotating shallow water equations. CoRR Werner Bauer, Jörn Behrens, Colin J. Cotter
2019	J	`jnl`	Data assimilation for a quasi-geostrophic model with circulation-preserving stochastic transport noise. CoRR Colin J. Cotter, Dan Crisan, Darryl D. Holm, Wei Pan, Igor Shevchenko
2019	J	`jnl`	Ensemble Transport Adaptive Importance Sampling. SIAM/ASA J. Uncertain. Quantification Colin J. Cotter, Simon L. Cotter, Paul T. Russell
2019	J	`jnl`	Numerically Modeling Stochastic Lie Transport in Fluid Dynamics. Multiscale Model. Simul. Colin J. Cotter, Dan Crisan, Darryl D. Holm, Wei Pan, Igor Shevchenko
2019	J	`jnl`	Perspectives on the Formation of Peakons in the Stochastic Camassa-Holm Equation. CoRR Thomas M. Bendall, Colin J. Cotter, Darryl D. Holm
2019	—	`conf`	Selective Metamorphosis for Growth Modelling with Applications to Landmarks. GSI Andreas A. Bock, Alexis Arnaudon, Colin J. Cotter
2019	J	`jnl`	Selective metamorphosis for growth modelling with applications to landmarks. CoRR Andreas A. Bock, Alexis Arnaudon, Colin J. Cotter
2019	J	`jnl`	The 'recovered space' advection scheme for lowest-order compatible finite element methods. J. Comput. Phys. Thomas M. Bendall, Colin J. Cotter, Jemma Shipton
2018	J	`jnl`	A domain-specific language for the hybridization and static condensation of finite element methods. CoRR Thomas H. Gibson, Lawrence Mitchell, David A. Ham, Colin J. Cotter
2018	J	`jnl`	Energy-enstrophy conserving compatible finite element schemes for the rotating shallow water equations with slip boundary conditions. J. Comput. Phys. Werner Bauer, Colin J. Cotter
2018	J	`jnl`	Higher-order compatible finite element schemes for the nonlinear rotating shallow water equations on the sphere. J. Comput. Phys. Jemma Shipton, Thomas H. Gibson, Colin J. Cotter
2018	J	`jnl`	Mixed finite elements for global tide models with nonlinear damping. Numerische Mathematik Colin J. Cotter, P. Jameson Graber, Robert C. Kirby
2018	J	`jnl`	Optimal-Transport-Based Mesh Adaptivity on the Plane and Sphere Using Finite Elements. SIAM J. Sci. Comput. Andrew T. T. McRae, Colin J. Cotter, Chris J. Budd
2018	J	`jnl`	The scaling and skewness of optimally transported meshes on the sphere. J. Comput. Phys. Chris J. Budd, Andrew T. T. McRae, Colin J. Cotter
2017	J	`jnl`	A Seamless Multilevel Ensemble Transform Particle Filter. SIAM J. Sci. Comput. Alastair Gregory, Colin J. Cotter
2017	J	`jnl`	The geometry of optimally transported meshes on the sphere. CoRR Chris J. Budd, Andrew T. T. McRae, Colin J. Cotter
2017	J	`jnl`	Vertical slice modelling of nonlinear Eady waves using a compatible finite element method. J. Comput. Phys. Hiroe Yamazaki, Jemma Shipton, Michael J. P. Cullen, Lawrence Mitchell, Colin J. Cotter
2016	J	`jnl`	Automated Generation and Symbolic Manipulation of Tensor Product Finite Elements. SIAM J. Sci. Comput. Andrew T. T. McRae, Gheorghe-Teodor Bercea, Lawrence Mitchell, David A. Ham, Colin J. Cotter
2016	J	`jnl`	Embedded discontinuous Galerkin transport schemes with localised limiters. J. Comput. Phys. Colin J. Cotter, Dmitri Kuzmin
2016	J	`jnl`	Mixed finite elements for global tide models. Numerische Mathematik Colin J. Cotter, Robert C. Kirby
2016	J	`jnl`	Multilevel Ensemble Transform Particle Filtering. SIAM J. Sci. Comput. Alastair Gregory, Colin J. Cotter, Sebastian Reich
2016	J	`jnl`	Weak Dual Pairs and Jetlet Methods for Ideal Incompressible Fluid Models in n≥2 Dimensions. J. Nonlinear Sci. Colin J. Cotter, Jaap Eldering, Darryl D. Holm, Henry O. Jacobs, David M. Meier
2015	J	`jnl`	A primal-dual mimetic finite element scheme for the rotating shallow water equations on polygonal spherical meshes. J. Comput. Phys. John Thuburn, Colin J. Cotter
2014	J	`jnl`	A Framework for the Automation of Generalized Stability Theory. SIAM J. Sci. Comput. Patrick E. Farrell, Colin J. Cotter, Simon W. Funke
2014	J	`jnl`	A finite element exterior calculus framework for the rotating shallow-water equations. J. Comput. Phys. Colin J. Cotter, John Thuburn
2014	J	`jnl`	Automated generation and symbolic manipulation of tensor product finite elements. CoRR Andrew T. T. McRae, Gheorghe-Teodor Bercea, Lawrence Mitchell, David A. Ham, Colin J. Cotter
2013	J	`jnl`	On Noether's Theorem for the Euler-Poincaré Equation on the Diffeomorphism Group with Advected Quantities. Found. Comput. Math. Colin J. Cotter, Darryl D. Holm
2012	J	`jnl`	A Framework for Mimetic Discretization of the Rotating Shallow-Water Equations on Arbitrary Polygonal Grids. SIAM J. Sci. Comput. John Thuburn, Colin J. Cotter
2012	J	`jnl`	A Reparameterisation Based Approach to Geodesic Constrained Solvers for Curve Matching. Int. J. Comput. Vis. Colin J. Cotter, Allan Clark, Joaquim Peiró
2012	J	`jnl`	A framework for the automation of generalised stability theory CoRR Patrick E. Farrell, Colin J. Cotter, Simon W. Funke
2012	J	`jnl`	Diffeomorphic 3D Image Registration via Geodesic Shooting Using an Efficient Adjoint Calculation. Int. J. Comput. Vis. François-Xavier Vialard, Laurent Risser, Daniel Rueckert, Colin J. Cotter
2012	J	`jnl`	Mixed finite elements for numerical weather prediction. J. Comput. Phys. Colin J. Cotter, Jemma Shipton
2011	J	`jnl`	Numerical wave propagation for the triangular P1 J. Comput. Phys. Colin J. Cotter, David A. Ham
2009	J	`jnl`	Continuous and Discrete Clebsch Variational Principles. Found. Comput. Math. Colin J. Cotter, Darryl D. Holm
2009	J	`jnl`	LBB stability of a mixed Galerkin finite element pair for fluid flow simulations. J. Comput. Phys. Colin J. Cotter, David A. Ham, Christopher C. Pain, Sebastian Reich
2006	J	`jnl`	Semigeostrophic Particle Motion and Exponentially Accurate Normal forms. Multiscale Model. Simul. Colin J. Cotter, Sebastian Reich
2004	J	`jnl`	Hamiltonian Particle-Mesh Method for Two-Layer Shallow-Water Equations Subject to the Rigid-Lid Approximation. SIAM J. Appl. Dyn. Syst. Colin J. Cotter, Jason Frank, Sebastian Reich