Colin J. Cotter

According to our database, Colin J. Cotter authored at least 59 papers between 2004 and 2024.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of four.

2024

Entropic optimal transport solutions of the semigeostrophic equations.

Jean-David Benamou, Colin J. Cotter, H. Malamut

J. Comput. Phys., March, 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, Colin J. Cotter, John Thuburn

CoRR, 2024

New limiter regions for multidimensional flows.

James Woodfield, Hilary Weller, Colin J. Cotter

CoRR, 2024

Data assimilation for the stochastic Camassa-Holm equation using particle filtering: a numerical investigation.

Colin John Cotter, Dan Crisan, Maneesh Kumar Singh

CoRR, 2024

2023

Weighted-Norm Preconditioners for a Multilayer Tide Model.

Colin J. Cotter, Robert C. Kirby, Hunter Morris

SIAM J. Sci. Comput., August, 2023

Compatible finite element methods for geophysical fluid dynamics.

Colin J. Cotter

Acta Numer., May, 2023

Planar Curve Registration using Bayesian Inversion.

Andreas Bock, Colin J. Cotter, Robert C. Kirby

CoRR, 2023

Consistent Point Data Assimilation in Firedrake and Icepack.

Reuben W. Nixon-Hill, Daniel Shapero, Colin J. Cotter, David A. Ham

CoRR, 2023

2022

Higher Order Phase Averaging for Highly Oscillatory Systems.

Werner Bauer, Colin J. Cotter, Beth A. Wingate

Multiscale Model. Simul., September, 2022

Conservation with moving meshes over orography.

Hiroe Yamazaki, Hilary Weller, Colin J. Cotter, Philip A. Browne

J. Comput. Phys., 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

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

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

A compatible finite element discretisation for the nonhydrostatic vertical slice equations.

Colin J. Cotter, Jemma Shipton

CoRR, 2022

Weighted-norm preconditioners for a multi-layer tide model.

Colin J. Cotter, Robert C. Kirby, Hunter Morris

CoRR, 2022

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

Learning landmark geodesics using Kalman ensembles.

Andreas 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

A note on error analysis for a nonconforming discretisation of the tri-Helmholtz equation with singular data.

Andreas Bock, Colin J. Cotter

CoRR, 2021

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, Igor Shevchenko

SIAM/ASA J. Uncertain. Quantification, 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

Space-time metamorphosis.

Andreas Bock, Colin J. Cotter

CoRR, 2020

Energy conserving SUPG methods for compatible finite element schemes in numerical weather prediction.

Golo A. Wimmer, Colin J. Cotter, Werner Bauer

CoRR, 2020

2019

Numerically Modeling Stochastic Lie Transport in Fluid Dynamics.

Colin J. Cotter, Dan Crisan, Darryl D. Holm, Wei Pan, Igor Shevchenko

Multiscale Model. Simul., 2019

Ensemble Transport Adaptive Importance Sampling.

Colin J. Cotter, Simon L. Cotter, Paul T. Russell

SIAM/ASA J. Uncertain. Quantification, 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

Data assimilation for a quasi-geostrophic model with circulation-preserving stochastic transport noise.

Colin J. Cotter, Dan Crisan, Darryl D. Holm, Wei Pan, Igor Shevchenko

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

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

Selective Metamorphosis for Growth Modelling with Applications to Landmarks.

Andreas Bock, Alexis Arnaudon, Colin J. Cotter

Proceedings of the Geometric Science of Information - 4th International Conference, 2019

A Structure-Preserving Approximation of the Discrete Split Rotating Shallow Water Equations.

Werner Bauer, Jörn Behrens, Colin J. Cotter

Proceedings of the Numerical Mathematics and Advanced Applications ENUMATH 2019 - European Conference, Egmond aan Zee, The Netherlands, September 30, 2019

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

Mixed finite elements for global tide models with nonlinear damping.

Colin J. Cotter, P. Jameson Graber, Robert C. Kirby

Numerische Mathematik, 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

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

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

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

2017

A Seamless Multilevel Ensemble Transform Particle Filter.

Alastair Gregory, Colin J. Cotter

SIAM J. Sci. Comput., 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

The geometry of optimally transported meshes on the sphere.

Chris J. Budd, Andrew T. T. McRae, Colin J. Cotter

CoRR, 2017

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

Multilevel Ensemble Transform Particle Filtering.

Alastair Gregory, Colin J. Cotter, Sebastian Reich

SIAM J. Sci. Comput., 2016

Mixed finite elements for global tide models.

Colin J. Cotter, Robert C. Kirby

Numerische Mathematik, 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

Embedded discontinuous Galerkin transport schemes with localised limiters.

Colin J. Cotter, Dmitri Kuzmin

J. Comput. Phys., 2016

2015

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

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 finite element exterior calculus framework for the rotating shallow-water equations.

Colin J. Cotter, John Thuburn

J. Comput. Phys., 2014

2013

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

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

Mixed finite elements for numerical weather prediction.

Colin J. Cotter, Jemma Shipton

J. Comput. Phys., 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

A Reparameterisation Based Approach to Geodesic Constrained Solvers for Curve Matching.

Colin J. Cotter, Allan Clark, Joaquim Peiró

Int. J. Comput. Vis., 2012

A framework for the automation of generalised stability theory

Patrick E. Farrell, Colin J. Cotter, Simon W. Funke

CoRR, 2012

2011

Numerical wave propagation for the triangular P1_DG-P2 finite element pair.

Colin J. Cotter, David A. Ham

J. Comput. Phys., 2011

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

Continuous and Discrete Clebsch Variational Principles.

Colin J. Cotter, Darryl D. Holm

Found. Comput. Math., 2009

2006

Semigeostrophic Particle Motion and Exponentially Accurate Normal forms.

Colin J. Cotter, Sebastian Reich

Multiscale Model. Simul., 2006

2004

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