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Colin J. Cotter
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- affiliation: Imperial College London, UK
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2020 – today
- 2024
- [j40]Andreas Bock, Colin J. Cotter, Robert C. Kirby:
Planar curve registration using Bayesian inversion. Comput. Math. Appl. 159: 155-172 (2024) - [j39]Jean-David Benamou, Colin J. Cotter, H. Malamut:
Entropic optimal transport solutions of the semigeostrophic equations. J. Comput. Phys. 500: 112745 (2024) - [j38]James Woodfield, Hilary Weller, Colin J. Cotter:
New limiter regions for multidimensional flows. J. Comput. Phys. 515: 113286 (2024) - [i27]Colin John Cotter, Dan Crisan, Maneesh Kumar Singh:
Data assimilation for the stochastic Camassa-Holm equation using particle filtering: a numerical investigation. CoRR abs/2402.06927 (2024) - [i26]James Woodfield, Hilary Weller, Colin J. Cotter:
New limiter regions for multidimensional flows. CoRR abs/2402.08395 (2024) - [i25]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 abs/2402.13738 (2024) - [i24]Joshua Hope-Collins, Abdalaziz Hamdan, Werner Bauer, Lawrence Mitchell, Colin J. Cotter:
asQ: parallel-in-time finite element simulations using ParaDiag for geoscientific models and beyond. CoRR abs/2409.18792 (2024) - 2023
- [j37]Colin J. Cotter:
Compatible finite element methods for geophysical fluid dynamics. Acta Numer. 32: 291-393 (2023) - [j36]Colin J. Cotter, Robert C. Kirby, Hunter Morris:
Weighted-Norm Preconditioners for a Multilayer Tide Model. SIAM J. Sci. Comput. 45(4) (2023) - [i23]Colin J. Cotter:
Compatible finite element methods for geophysical fluid dynamics. CoRR abs/2302.13337 (2023) - [i22]Reuben W. Nixon-Hill, Daniel Shapero, Colin J. Cotter, David A. Ham:
Consistent Point Data Assimilation in Firedrake and Icepack. CoRR abs/2304.06058 (2023) - [i21]Andreas Bock, Colin J. Cotter, Robert C. Kirby:
Planar Curve Registration using Bayesian Inversion. CoRR abs/2307.04909 (2023) - 2022
- [j35]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: 105104 (2022) - [j34]Hiroe Yamazaki, Hilary Weller, Colin J. Cotter, Philip A. Browne:
Conservation with moving meshes over orography. J. Comput. Phys. 461: 111217 (2022) - [j33]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: 111542 (2022) - [j32]Werner Bauer, Colin J. Cotter, Beth A. Wingate:
Higher Order Phase Averaging for Highly Oscillatory Systems. Multiscale Model. Simul. 20(3): 936-956 (2022) - [i20]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 abs/2203.04903 (2022) - [i19]Colin J. Cotter, Robert C. Kirby, Hunter Morris:
Weighted-norm preconditioners for a multi-layer tide model. CoRR abs/2207.02116 (2022) - [i18]Colin J. Cotter, Jemma Shipton:
A compatible finite element discretisation for the nonhydrostatic vertical slice equations. CoRR abs/2210.07861 (2022) - [i17]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 abs/2210.11797 (2022) - 2021
- [j31]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: 104658 (2021) - [i16]Andreas Bock, Colin J. Cotter:
A note on error analysis for a nonconforming discretisation of the tri-Helmholtz equation with singular data. CoRR abs/2101.04181 (2021) - [i15]Werner Bauer, Colin J. Cotter, Beth A. Wingate:
Higher order phase averaging for highly oscillatory systems. CoRR abs/2102.11644 (2021) - [i14]Hiroe Yamazaki, Colin J. Cotter:
Time parallel integration and phase averaging for the nonlinear shallow water equations on the sphere. CoRR abs/2103.07706 (2021) - [i13]Andreas Bock, Colin J. Cotter:
Learning landmark geodesics using Kalman ensembles. CoRR abs/2103.14076 (2021) - [i12]Hiroe Yamazaki, Hilary Weller, Colin J. Cotter, Philip A. Browne:
Conservation with moving meshes over orography. CoRR abs/2108.00805 (2021) - 2020
- [j30]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) - [j29]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): 1446-1492 (2020) - [i11]Golo A. Wimmer, Colin J. Cotter, Werner Bauer:
Energy conserving SUPG methods for compatible finite element schemes in numerical weather prediction. CoRR abs/2001.09590 (2020) - [i10]Andreas Bock, Colin J. Cotter:
Space-time metamorphosis. CoRR abs/2005.08743 (2020)
2010 – 2019
- 2019
- [j28]Thomas M. Bendall, Colin J. Cotter, Jemma Shipton:
The 'recovered space' advection scheme for lowest-order compatible finite element methods. J. Comput. Phys. 390: 342-358 (2019) - [j27]Colin J. Cotter, Simon L. Cotter, Paul T. Russell:
Ensemble Transport Adaptive Importance Sampling. SIAM/ASA J. Uncertain. Quantification 7(2): 444-471 (2019) - [j26]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): 192-232 (2019) - [c2]Werner Bauer, Jörn Behrens, Colin J. Cotter:
A Structure-Preserving Approximation of the Discrete Split Rotating Shallow Water Equations. ENUMATH 2019: 103-113 - [c1]Andreas Bock, Alexis Arnaudon, Colin J. Cotter:
Selective Metamorphosis for Growth Modelling with Applications to Landmarks. GSI 2019: 39-48 - [i9]Andreas Bock, Alexis Arnaudon, Colin J. Cotter:
Selective metamorphosis for growth modelling with applications to landmarks. CoRR abs/1901.02826 (2019) - [i8]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 abs/1910.01857 (2019) - [i7]Thomas M. Bendall, Colin J. Cotter, Darryl D. Holm:
Perspectives on the Formation of Peakons in the Stochastic Camassa-Holm Equation. CoRR abs/1910.03018 (2019) - [i6]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 abs/1910.03574 (2019) - [i5]Werner Bauer, Jörn Behrens, Colin J. Cotter:
A structure-preserving approximation of the discrete split rotating shallow water equations. CoRR abs/1912.10335 (2019) - 2018
- [j25]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: 171-187 (2018) - [j24]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: 540-564 (2018) - [j23]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: 1121-1137 (2018) - [j22]Colin J. Cotter, P. Jameson Graber, Robert C. Kirby:
Mixed finite elements for global tide models with nonlinear damping. Numerische Mathematik 140(4): 963-991 (2018) - [j21]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) - [i4]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 abs/1802.00303 (2018) - 2017
- [j20]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: 130-149 (2017) - [j19]Alastair Gregory, Colin J. Cotter:
A Seamless Multilevel Ensemble Transform Particle Filter. SIAM J. Sci. Comput. 39(6) (2017) - [i3]Chris J. Budd, Andrew T. T. McRae, Colin J. Cotter:
The geometry of optimally transported meshes on the sphere. CoRR abs/1711.00260 (2017) - 2016
- [j18]Colin J. Cotter, Dmitri Kuzmin:
Embedded discontinuous Galerkin transport schemes with localised limiters. J. Comput. Phys. 311: 363-373 (2016) - [j17]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): 1723-1765 (2016) - [j16]Colin J. Cotter, Robert C. Kirby:
Mixed finite elements for global tide models. Numerische Mathematik 133(2): 255-277 (2016) - [j15]Alastair Gregory, Colin J. Cotter, Sebastian Reich:
Multilevel Ensemble Transform Particle Filtering. SIAM J. Sci. Comput. 38(3) (2016) - [j14]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) - 2015
- [j13]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: 274-297 (2015) - 2014
- [j12]Colin J. Cotter, John Thuburn:
A finite element exterior calculus framework for the rotating shallow-water equations. J. Comput. Phys. 257: 1506-1526 (2014) - [j11]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) - [i2]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 abs/1411.2940 (2014) - 2013
- [j10]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): 457-477 (2013) - 2012
- [j9]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): 229-241 (2012) - [j8]Colin J. Cotter, Allan Clark, Joaquim Peiró:
A Reparameterisation Based Approach to Geodesic Constrained Solvers for Curve Matching. Int. J. Comput. Vis. 99(1): 103-121 (2012) - [j7]Colin J. Cotter, Jemma Shipton:
Mixed finite elements for numerical weather prediction. J. Comput. Phys. 231(21): 7076-7091 (2012) - [j6]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) - [i1]Patrick E. Farrell, Colin J. Cotter, Simon W. Funke:
A framework for the automation of generalised stability theory. CoRR abs/1211.6989 (2012) - 2011
- [j5]Colin J. Cotter, David A. Ham:
Numerical wave propagation for the triangular P1DG-P2 finite element pair. J. Comput. Phys. 230(8): 2806-2820 (2011)
2000 – 2009
- 2009
- [j4]Colin J. Cotter, Darryl D. Holm:
Continuous and Discrete Clebsch Variational Principles. Found. Comput. Math. 9(2): 221-242 (2009) - [j3]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): 336-348 (2009) - 2006
- [j2]Colin J. Cotter, Sebastian Reich:
Semigeostrophic Particle Motion and Exponentially Accurate Normal forms. Multiscale Model. Simul. 5(2): 476-496 (2006) - 2004
- [j1]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): 69-83 (2004)
Coauthor Index
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