Edit Profile (opens in new tab) Cotter, Colin John Co-Author Distance Author ID: cotter.colin-john Published as: Cotter, Colin J.; Cotter, C. J.; Cotter, Colin; Cotter, Colin John more...less External Links: MGP · ORCID Documents Indexed: 93 Publications since 2004, including 2 Books and 25 Additional arXiv Preprints 1 Further Contribution Co-Authors: 74 Co-Authors with 87 Joint Publications 1,164 Co-Co-Authors all top 5 Co-Authors 5 single-authored 21 Holm, Darryl Dallas 9 Reich, Sebastian 8 Ham, David A. 7 McRae, Andrew T. T. 7 Shipton, Jemma 6 Crisan, Dan O. 5 Bauer, Werner 5 Bendall, Thomas M. 5 Bock, Andreas 5 Natale, Andrea 5 Weller, Hilary 4 Gibson, Thomas H. 4 Kirby, Robert C. 4 Mitchell, Lawrence 4 Pain, Christopher C. 4 Thuburn, John 3 Cullen, Michael John Priestley 3 Percival, James R. 3 Pryer, Tristan 3 Yamazaki, Hiroe 2 Budd, Christopher John 2 Cotter, Simon L. 2 Gregory, Alastair 2 Jacobs, Henry O. 2 Kramer, Stephan C. 2 Meier, David M. 2 Melvin, Thomas R. O. 2 Pelloni, Beatrice 2 Shipway, Ben 2 Vialard, François-Xavier 2 Wimmer, Golo A. 2 Wingate, Beth A. 1 Arnaudon, Alexis 1 Behrens, Jorn 1 Benacchio, Tommaso 1 Benamou, Jean-David 1 Bercea, Gheorghe-Teodor 1 Betteridge, Jack D. 1 Bokhove, Onno 1 Bourne, David P. 1 Boutle, Ian 1 Bröcker, Jochen 1 Brown, Alex O. 1 Browne, Philip A. 1 Calderhead, Ben 1 Cheraghi, Davoud 1 Clare, Mariana C. A. 1 Clark, Allan 1 Deasy, Jacob 1 Egan, Charlie P. 1 Eldering, Jaap 1 Farrell, Patrick E. 1 Frank, Jason 1 Funke, Simon W. 1 Gottwald, Georg A. 1 Griffith, Matthew J. 1 Hydon, Peter Ellsworth 1 Ivanov, Rossen I. 1 Johnson, Christine 1 Kent, James 1 Kuna, Tobias 1 Malamut, Hugo 1 Morris, Hunter 1 Müller, Eike Hermann 1 Nixon-Hill, Reuben W. 1 Peiró, Joaquim 1 Piggott, Matthew D. 1 Pring, Stephen R. 1 Risser, Laurent 1 Roper, Steven M. 1 Rousseau, Christiane 1 Rueckert, Daniel 1 Russell, Paul T. 1 Shapero, Daniel 1 Shepherd, Ted 1 Singh, Maneesh Kumar 1 Wallwork, Joseph G. 1 Wood, Nigel B. 1 Woodfield, James 1 Zerroukat, Mohamed all top 5 Serials 15 Journal of Computational Physics 7 SIAM Journal on Scientific Computing 4 Journal of Physics A: Mathematical and Theoretical 3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 Multiscale Modeling & Simulation 2 IMA Journal of Numerical Analysis 2 Nonlinearity 2 Numerische Mathematik 2 International Journal of Computer Vision 2 Foundations of Computational Mathematics 2 Journal of Geometric Mechanics 2 GEM - International Journal on Geomathematics 2 SIAM/ASA Journal on Uncertainty Quantification 1 Geophysical and Astrophysical Fluid Dynamics 1 Inverse Problems 1 Journal of Engineering Mathematics 1 Journal of Statistical Physics 1 BIT 1 Applied Numerical Mathematics 1 Journal of Nonlinear Science 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 SIAM Journal on Applied Dynamical Systems 1 Communications in Mathematical Sciences 1 Acta Numerica 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 SpringerBriefs in Mathematics of Planet Earth 1 Advanced Textbooks in Mathematics 1 SMAI Journal of Computational Mathematics 1 Foundations of Data Science all top 5 Fields 47 Numerical analysis (65-XX) 38 Fluid mechanics (76-XX) 30 Geophysics (86-XX) 22 Partial differential equations (35-XX) 17 Dynamical systems and ergodic theory (37-XX) 11 Statistics (62-XX) 5 Probability theory and stochastic processes (60-XX) 4 Computer science (68-XX) 4 Mechanics of particles and systems (70-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 General and overarching topics; collections (00-XX) 2 Ordinary differential equations (34-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 61 Publications have been cited 664 times in 439 Documents Cited by ▼ Year ▼ Probabilistic forecasting and Bayesian data assimilation. Zbl 1314.62005 Reich, Sebastian; Cotter, Colin 81 2015 Mixed finite elements for numerical weather prediction. Zbl 1284.86005 Cotter, C. J.; Shipton, J. 38 2012 A finite element exterior calculus framework for the rotating shallow-water equations. Zbl 1351.76054 Cotter, C. J.; Thuburn, J. 35 2014 Numerically modeling stochastic Lie transport in fluid dynamics. Zbl 1454.76064 Cotter, Colin; Crisan, Dan; Holm, Darryl D.; Pan, Wei; Shevchenko, Igor 35 2019 Diffeomorphic 3D image registration via geodesic shooting using an efficient adjoint calculation. Zbl 1235.68295 Vialard, François-Xavier; Risser, Laurent; Rueckert, Daniel; Cotter, Colin J. 28 2012 Stochastic partial differential fluid equations as a diffusive limit of deterministic Lagrangian multi-time dynamics. Zbl 1402.76101 Cotter, C. J.; Gottwald, G. A.; Holm, D. D. 28 2017 Automated generation and symbolic manipulation of tensor product finite elements. Zbl 1352.65615 McRae, A. T. T.; Bercea, G.-T.; Mitchell, L.; Ham, D. A.; Cotter, C. J. 23 2016 A framework for mimetic discretization of the rotating shallow-water equations on arbitrary polygonal grids. Zbl 1246.65155 Thuburn, J.; Cotter, C. J. 22 2012 Multisymplectic formulation of fluid dynamics using the inverse map. Zbl 1129.37036 Cotter, C. J.; Holm, D. D.; Hydon, P. E. 19 2007 A primal-dual mimetic finite element scheme for the rotating shallow water equations on polygonal spherical meshes. Zbl 1349.76273 Thuburn, John; Cotter, Colin J. 19 2015 Multilevel ensemble transform particle filtering. Zbl 1338.65006 Gregory, A.; Cotter, C. J.; Reich, S. 18 2016 Ensemble filter techniques for intermittent data assimilation. Zbl 1291.65032 Reich, Sebastian; Cotter, Colin J. 18 2013 Optimal-transport – based mesh adaptivity on the plane and sphere using finite elements. Zbl 1448.65143 McRae, Andrew T. T.; Cotter, Colin J.; Budd, Chris J. 17 2018 Data assimilation for a quasi-geostrophic model with circulation-preserving stochastic transport noise. Zbl 1444.62134 Cotter, Colin; Crisan, Dan; Holm, Darryl; Pan, Wei; Shevchenko, Igor 17 2020 Numerical wave propagation for the triangular \(P1_{DG}-P2\) finite element pair. Zbl 1316.76019 Cotter, C. J.; Ham, D. A. 16 2011 Energy-enstrophy conserving compatible finite element schemes for the rotating shallow water equations with slip boundary conditions. Zbl 1416.65335 Bauer, W.; Cotter, C. J. 16 2018 LBB stability of a mixed Galerkin finite element pair for fluid flow simulations. Zbl 1409.76058 Cotter, Colin J.; Ham, David A.; Pain, Christopher C.; Reich, Sebastian 14 2009 A variational \(\boldsymbol{H}(\mathrm {div})\) finite-element discretization approach for perfect incompressible fluids. Zbl 1408.65069 Natale, Andrea; Cotter, Colin J. 14 2018 Embedded discontinuous Galerkin transport schemes with localised limiters. Zbl 1349.65616 Cotter, C. J.; Kuzmin, D. 13 2016 A particle filter for stochastic advection by Lie transport: a case study for the damped and forced incompressible two-dimensional Euler equation. Zbl 1454.62528 Cotter, Colin; Crisan, Dan; Holm, Darryl D.; Pan, Wei; Shevchenko, Igor 13 2020 Continuous and discrete Clebsch variational principles. Zbl 1171.37026 Cotter, C. J.; Holm, D. D. 12 2009 Waltzing peakons and compacton pairs in a cross-coupled Camassa-Holm equation. Zbl 1225.35198 Cotter, Colin J.; Holm, Darryl D.; Ivanov, Rossen I.; Percival, James R. 11 2011 Higher-order compatible finite element schemes for the nonlinear rotating shallow water equations on the sphere. Zbl 1416.86014 Shipton, J.; Gibson, T. H.; Cotter, C. J. 10 2018 Energy conserving upwinded compatible finite element schemes for the rotating shallow water equations. Zbl 1453.65438 Wimmer, Golo A.; Cotter, Colin J.; Bauer, Werner 8 2020 Variational water-wave model with accurate dispersion and vertical vorticity. Zbl 1273.76060 Cotter, Colin; Bokhove, Onno 8 2010 Semigeostrophic particle motion and exponentially accurate normal forms. Zbl 1114.76008 Cotter, Colin J.; Reich, Sebastian 7 2006 The square root depth wave equations. Zbl 1211.76028 Cotter, C. J.; Holm, D. D.; Percival, J. R. 7 2010 Estimating eddy diffusivities from noisy Lagrangian observations. Zbl 1183.62143 Cotter, C. J.; Pavliotis, G. A. 7 2009 Vertical slice modelling of nonlinear Eady waves using a compatible finite element method. Zbl 1380.86009 Yamazaki, Hiroe; Shipton, Jemma; Cullen, Michael J. P.; Mitchell, Lawrence; Cotter, Colin J. 7 2017 The variational particle-mesh method for matching curves. Zbl 1153.37010 Cotter, C. J. 7 2008 The scaling and skewness of optimally transported meshes on the sphere. Zbl 1416.65323 Budd, Chris J.; McRae, Andrew T. T.; Cotter, Colin J. 7 2018 Adiabatic invariance and applications: from molecular dynamics to numerical weather prediction. Zbl 1142.37354 Cotter, Colin John; Reich, Sebastian 6 2004 Data assimilation on the exponentially accurate slow manifold. Zbl 1353.86032 Cotter, Colin 6 2013 A Euler-Poincaré framework for the multilayer Green-Nagdhi equations. Zbl 1143.76021 Percival, J. R.; Cotter, C. J.; Holm, D. D. 6 2008 A variational formulation of vertical slice models. Zbl 1371.86019 Cotter, C. J.; Holm, D. D. 5 2013 Geodesic boundary value problems with symmetry. Zbl 1375.49032 Cotter, Colin J.; Holm, Darryl D. 5 2010 The \(r\)-Hunter-Saxton equation, smooth and singular solutions and their approximation. Zbl 1469.37052 Cotter, Colin J.; Deasy, Jacob; Pryer, Tristan 5 2020 Bayesian data assimilation in shape registration. Zbl 1273.65013 Cotter, C. J.; Cotter, S. L.; Vialard, F.-X. 5 2013 A reparameterisation based approach to geodesic constrained solvers for curve matching. Zbl 1254.65024 Cotter, Colin J.; Clark, Allan; Peiró, Joaquim 5 2012 Hamiltonian particle-mesh method for two-layer shallow-water equations subject to the rigid-lid approximation. Zbl 1147.76603 Cotter, Colin J.; Frank, Jason; Reich, Sebastian 4 2004 A seamless multilevel ensemble transform particle filter. Zbl 1378.65022 Gregory, A.; Cotter, C. J. 4 2017 Mixed finite elements for global tide models. Zbl 1381.76160 Cotter, Colin J.; Kirby, Robert C. 4 2016 Compatible finite element methods for geophysical flows. Automation and implementation using Firedrake. Zbl 1440.76003 Gibson, Thomas H.; McRae, Andrew T. T.; Cotter, Colin J.; Mitchell, Lawrence; Ham, David A. 4 2019 A jetlet hierarchy for ideal fluid dynamics. Zbl 1296.76106 Cotter, C. J.; Holm, D. D.; Jacobs, H. O.; Meier, D. M. 3 2014 The ‘recovered space’ advection scheme for lowest-order compatible finite element methods. Zbl 1452.76081 Bendall, Thomas M.; Cotter, Colin J.; Shipton, Jemma 3 2019 Mixed finite elements for global tide models with nonlinear damping. Zbl 1402.65095 Cotter, Colin J.; Graber, P. Jameson; Kirby, Robert C. 3 2018 Weak dual pairs and jetlet methods for ideal incompressible fluid models in \(n \geq 2\) dimensions. Zbl 1368.37076 Cotter, C. J.; Eldering, J.; Holm, D. D.; Jacobs, H. O.; Meier, D. M. 2 2016 Conservation with moving meshes over orography. Zbl 07525183 Yamazaki, Hiroe; Weller, Hilary; Cotter, Colin J.; Browne, Philip A. 2 2022 A framework for the automation of generalized stability theory. Zbl 1292.34048 Farrell, P. E.; Cotter, C. J.; Funke, S. W. 2 2014 On Noether’s theorem for the Euler-Poincaré equation on the diffeomorphism group with advected quantities. Zbl 1352.37173 Cotter, C. J.; Holm, D. D. 2 2013 Statistical properties of an enstrophy conserving finite element discretisation for the stochastic quasi-geostrophic equation. Zbl 1521.76728 Bendall, Thomas M.; Cotter, Colin J. 2 2019 Energy conserving SUPG methods for compatible finite element schemes in numerical weather prediction. Zbl 1484.86005 Wimmer, Golo A.; Cotter, Colin J.; Bauer, Werner 2 2021 Geometric integration of a wave-vortex model. Zbl 1035.76041 Cotter, C. J.; Reich, S. 1 2004 Weighted-norm preconditioners for a multilayer tide model. Zbl 1518.65028 Cotter, Colin J.; Kirby, Robert C.; Morris, Hunter 1 2023 Compatible finite element methods for geophysical fluid dynamics. Zbl 07736657 Cotter, Colin J. 1 2023 Higher order phase averaging for highly oscillatory systems. Zbl 07619150 Bauer, Werner; Cotter, Colin; Wingate, Beth 1 2022 A new implementation of the geometric method for solving the Eady slice equations. Zbl 07592141 Egan, C. P.; Bourne, D. P.; Cotter, C. J.; Cullen, M. J. P.; Pelloni, B.; Roper, S. M.; Wilkinson, M. 1 2022 Particle relabelling symmetries and Noether’s theorem for vertical slice models. Zbl 1435.35388 Cotter, Colin J.; Cullen, Michael John Priestley 1 2019 Learning landmark geodesics using the ensemble Kalman filter. Zbl 1478.68281 Bock, Andreas; Cotter, Colin J. 1 2021 Corrigendum to: “A variational \(\boldsymbol{H}(\mathrm {div})\) finite-element discretization approach for perfect incompressible fluids”. Zbl 1406.65088 Natale, Andrea; Cotter, Colin J. 1 2018 Ensemble transport adaptive importance sampling. Zbl 1422.62104 Cotter, Colin; Cotter, Simon; Russell, Paul 1 2019 Weighted-norm preconditioners for a multilayer tide model. Zbl 1518.65028 Cotter, Colin J.; Kirby, Robert C.; Morris, Hunter 1 2023 Compatible finite element methods for geophysical fluid dynamics. Zbl 07736657 Cotter, Colin J. 1 2023 Conservation with moving meshes over orography. Zbl 07525183 Yamazaki, Hiroe; Weller, Hilary; Cotter, Colin J.; Browne, Philip A. 2 2022 Higher order phase averaging for highly oscillatory systems. Zbl 07619150 Bauer, Werner; Cotter, Colin; Wingate, Beth 1 2022 A new implementation of the geometric method for solving the Eady slice equations. Zbl 07592141 Egan, C. P.; Bourne, D. P.; Cotter, C. J.; Cullen, M. J. P.; Pelloni, B.; Roper, S. M.; Wilkinson, M. 1 2022 Energy conserving SUPG methods for compatible finite element schemes in numerical weather prediction. Zbl 1484.86005 Wimmer, Golo A.; Cotter, Colin J.; Bauer, Werner 2 2021 Learning landmark geodesics using the ensemble Kalman filter. Zbl 1478.68281 Bock, Andreas; Cotter, Colin J. 1 2021 Data assimilation for a quasi-geostrophic model with circulation-preserving stochastic transport noise. Zbl 1444.62134 Cotter, Colin; Crisan, Dan; Holm, Darryl; Pan, Wei; Shevchenko, Igor 17 2020 A particle filter for stochastic advection by Lie transport: a case study for the damped and forced incompressible two-dimensional Euler equation. Zbl 1454.62528 Cotter, Colin; Crisan, Dan; Holm, Darryl D.; Pan, Wei; Shevchenko, Igor 13 2020 Energy conserving upwinded compatible finite element schemes for the rotating shallow water equations. Zbl 1453.65438 Wimmer, Golo A.; Cotter, Colin J.; Bauer, Werner 8 2020 The \(r\)-Hunter-Saxton equation, smooth and singular solutions and their approximation. Zbl 1469.37052 Cotter, Colin J.; Deasy, Jacob; Pryer, Tristan 5 2020 Numerically modeling stochastic Lie transport in fluid dynamics. Zbl 1454.76064 Cotter, Colin; Crisan, Dan; Holm, Darryl D.; Pan, Wei; Shevchenko, Igor 35 2019 Compatible finite element methods for geophysical flows. Automation and implementation using Firedrake. Zbl 1440.76003 Gibson, Thomas H.; McRae, Andrew T. T.; Cotter, Colin J.; Mitchell, Lawrence; Ham, David A. 4 2019 The ‘recovered space’ advection scheme for lowest-order compatible finite element methods. Zbl 1452.76081 Bendall, Thomas M.; Cotter, Colin J.; Shipton, Jemma 3 2019 Statistical properties of an enstrophy conserving finite element discretisation for the stochastic quasi-geostrophic equation. Zbl 1521.76728 Bendall, Thomas M.; Cotter, Colin J. 2 2019 Particle relabelling symmetries and Noether’s theorem for vertical slice models. Zbl 1435.35388 Cotter, Colin J.; Cullen, Michael John Priestley 1 2019 Ensemble transport adaptive importance sampling. Zbl 1422.62104 Cotter, Colin; Cotter, Simon; Russell, Paul 1 2019 Optimal-transport – based mesh adaptivity on the plane and sphere using finite elements. Zbl 1448.65143 McRae, Andrew T. T.; Cotter, Colin J.; Budd, Chris J. 17 2018 Energy-enstrophy conserving compatible finite element schemes for the rotating shallow water equations with slip boundary conditions. Zbl 1416.65335 Bauer, W.; Cotter, C. J. 16 2018 A variational \(\boldsymbol{H}(\mathrm {div})\) finite-element discretization approach for perfect incompressible fluids. Zbl 1408.65069 Natale, Andrea; Cotter, Colin J. 14 2018 Higher-order compatible finite element schemes for the nonlinear rotating shallow water equations on the sphere. Zbl 1416.86014 Shipton, J.; Gibson, T. H.; Cotter, C. J. 10 2018 The scaling and skewness of optimally transported meshes on the sphere. Zbl 1416.65323 Budd, Chris J.; McRae, Andrew T. T.; Cotter, Colin J. 7 2018 Mixed finite elements for global tide models with nonlinear damping. Zbl 1402.65095 Cotter, Colin J.; Graber, P. Jameson; Kirby, Robert C. 3 2018 Corrigendum to: “A variational \(\boldsymbol{H}(\mathrm {div})\) finite-element discretization approach for perfect incompressible fluids”. Zbl 1406.65088 Natale, Andrea; Cotter, Colin J. 1 2018 Stochastic partial differential fluid equations as a diffusive limit of deterministic Lagrangian multi-time dynamics. Zbl 1402.76101 Cotter, C. J.; Gottwald, G. A.; Holm, D. D. 28 2017 Vertical slice modelling of nonlinear Eady waves using a compatible finite element method. Zbl 1380.86009 Yamazaki, Hiroe; Shipton, Jemma; Cullen, Michael J. P.; Mitchell, Lawrence; Cotter, Colin J. 7 2017 A seamless multilevel ensemble transform particle filter. Zbl 1378.65022 Gregory, A.; Cotter, C. J. 4 2017 Automated generation and symbolic manipulation of tensor product finite elements. Zbl 1352.65615 McRae, A. T. T.; Bercea, G.-T.; Mitchell, L.; Ham, D. A.; Cotter, C. J. 23 2016 Multilevel ensemble transform particle filtering. Zbl 1338.65006 Gregory, A.; Cotter, C. J.; Reich, S. 18 2016 Embedded discontinuous Galerkin transport schemes with localised limiters. Zbl 1349.65616 Cotter, C. J.; Kuzmin, D. 13 2016 Mixed finite elements for global tide models. Zbl 1381.76160 Cotter, Colin J.; Kirby, Robert C. 4 2016 Weak dual pairs and jetlet methods for ideal incompressible fluid models in \(n \geq 2\) dimensions. Zbl 1368.37076 Cotter, C. J.; Eldering, J.; Holm, D. D.; Jacobs, H. O.; Meier, D. M. 2 2016 Probabilistic forecasting and Bayesian data assimilation. Zbl 1314.62005 Reich, Sebastian; Cotter, Colin 81 2015 A primal-dual mimetic finite element scheme for the rotating shallow water equations on polygonal spherical meshes. Zbl 1349.76273 Thuburn, John; Cotter, Colin J. 19 2015 A finite element exterior calculus framework for the rotating shallow-water equations. Zbl 1351.76054 Cotter, C. J.; Thuburn, J. 35 2014 A jetlet hierarchy for ideal fluid dynamics. Zbl 1296.76106 Cotter, C. J.; Holm, D. D.; Jacobs, H. O.; Meier, D. M. 3 2014 A framework for the automation of generalized stability theory. Zbl 1292.34048 Farrell, P. E.; Cotter, C. J.; Funke, S. W. 2 2014 Ensemble filter techniques for intermittent data assimilation. Zbl 1291.65032 Reich, Sebastian; Cotter, Colin J. 18 2013 Data assimilation on the exponentially accurate slow manifold. Zbl 1353.86032 Cotter, Colin 6 2013 A variational formulation of vertical slice models. Zbl 1371.86019 Cotter, C. J.; Holm, D. D. 5 2013 Bayesian data assimilation in shape registration. Zbl 1273.65013 Cotter, C. J.; Cotter, S. L.; Vialard, F.-X. 5 2013 On Noether’s theorem for the Euler-Poincaré equation on the diffeomorphism group with advected quantities. Zbl 1352.37173 Cotter, C. J.; Holm, D. D. 2 2013 Mixed finite elements for numerical weather prediction. Zbl 1284.86005 Cotter, C. J.; Shipton, J. 38 2012 Diffeomorphic 3D image registration via geodesic shooting using an efficient adjoint calculation. Zbl 1235.68295 Vialard, François-Xavier; Risser, Laurent; Rueckert, Daniel; Cotter, Colin J. 28 2012 A framework for mimetic discretization of the rotating shallow-water equations on arbitrary polygonal grids. Zbl 1246.65155 Thuburn, J.; Cotter, C. J. 22 2012 A reparameterisation based approach to geodesic constrained solvers for curve matching. Zbl 1254.65024 Cotter, Colin J.; Clark, Allan; Peiró, Joaquim 5 2012 Numerical wave propagation for the triangular \(P1_{DG}-P2\) finite element pair. Zbl 1316.76019 Cotter, C. J.; Ham, D. A. 16 2011 Waltzing peakons and compacton pairs in a cross-coupled Camassa-Holm equation. Zbl 1225.35198 Cotter, Colin J.; Holm, Darryl D.; Ivanov, Rossen I.; Percival, James R. 11 2011 Variational water-wave model with accurate dispersion and vertical vorticity. Zbl 1273.76060 Cotter, Colin; Bokhove, Onno 8 2010 The square root depth wave equations. Zbl 1211.76028 Cotter, C. J.; Holm, D. D.; Percival, J. R. 7 2010 Geodesic boundary value problems with symmetry. Zbl 1375.49032 Cotter, Colin J.; Holm, Darryl D. 5 2010 LBB stability of a mixed Galerkin finite element pair for fluid flow simulations. Zbl 1409.76058 Cotter, Colin J.; Ham, David A.; Pain, Christopher C.; Reich, Sebastian 14 2009 Continuous and discrete Clebsch variational principles. Zbl 1171.37026 Cotter, C. J.; Holm, D. D. 12 2009 Estimating eddy diffusivities from noisy Lagrangian observations. Zbl 1183.62143 Cotter, C. J.; Pavliotis, G. A. 7 2009 The variational particle-mesh method for matching curves. Zbl 1153.37010 Cotter, C. J. 7 2008 A Euler-Poincaré framework for the multilayer Green-Nagdhi equations. Zbl 1143.76021 Percival, J. R.; Cotter, C. J.; Holm, D. D. 6 2008 Multisymplectic formulation of fluid dynamics using the inverse map. Zbl 1129.37036 Cotter, C. J.; Holm, D. D.; Hydon, P. E. 19 2007 Semigeostrophic particle motion and exponentially accurate normal forms. Zbl 1114.76008 Cotter, Colin J.; Reich, Sebastian 7 2006 Adiabatic invariance and applications: from molecular dynamics to numerical weather prediction. Zbl 1142.37354 Cotter, Colin John; Reich, Sebastian 6 2004 Hamiltonian particle-mesh method for two-layer shallow-water equations subject to the rigid-lid approximation. Zbl 1147.76603 Cotter, Colin J.; Frank, Jason; Reich, Sebastian 4 2004 Geometric integration of a wave-vortex model. Zbl 1035.76041 Cotter, C. J.; Reich, S. 1 2004 all cited Publications top 5 cited Publications all top 5 Cited by 701 Authors 41 Cotter, Colin John 37 Holm, Darryl Dallas 17 Reich, Sebastian 15 Crisan, Dan O. 11 Jasra, Ajay 11 Stuart, Andrew M. 8 Kuzmin, Dmitri 7 Gay-Balmaz, François 7 Mang, Andreas 7 Oliver, Marcel 6 Bauer, Werner 6 Del Moral, Pierre 6 Ju, Lili 6 Luesink, Erwin 5 Alonso-Orán, Diego 5 Bauer, Martin 5 Bethencourt de León, Aythami 5 Biros, George 5 Gunzburger, Max D. 5 Ivanov, Rossen I. 5 Korn, Peter 5 Law, Kody J. H. 5 Leahy, James-Michael 5 Linke, Alexander 5 Maddison, James R. 5 Marzouk, Youssef M. 5 Nilssen, Torstein K. 5 Shipton, Jemma 5 Tempone, Raúl F. 5 Zhou, Shouming 4 Bishop, Adrian N. 4 Bokhove, Onno 4 Camassa, Roberto 4 Cotter, Simon L. 4 de Wiljes, Jana 4 Gawlik, Evan S. 4 Kirby, Robert C. 4 Krumscheid, Sebastian 4 Mohamad, Haidar 4 Nüsken, Nikolas 4 Vanneste, Jacques 4 Wang, Zhu 4 Wimmer, Golo A. 3 Akbas, Mine 3 Bendall, Thomas M. 3 Beskos, Alexandros 3 Biswas, Animikh 3 Bruveris, Martins 3 Chang, Justin 3 Chun, Sehun 3 Dubinkina, Svetlana 3 Effland, Alexander 3 Eldred, Christopher 3 García-Archilla, Bosco 3 Hu, Ruiao 3 Huang, Daniel Zhengyu 3 Lan, Rihui 3 Lang, Oana 3 Le Roux, Daniel Y. 3 Levine, Matthew E. 3 Maor, Cy 3 Masur, Gökce Tuba 3 McRae, Andrew T. T. 3 Mémin, Etienne 3 Mensah, Prince Romeo 3 Mitchell, Lawrence 3 Neumayer, Sebastian 3 Novo, Julia 3 Pain, Christopher C. 3 Palha, Artur 3 Pavliotis, Grigorios A. 3 Rumpf, Martin 3 Schroeder, Philipp W. 3 Takao, So 3 Thuburn, John 3 Tong, Xin Thomson 3 Trouvé, Alain 3 Turnquist, Axel G. R. 3 Vialard, François-Xavier 3 Zhuk, Sergiĭ M. 2 Albers, David J. 2 Arnaudon, Alexis 2 Baptista, Ricardo 2 Behrens, Jorn 2 Bridges, Thomas J. 2 Budd, Christopher John 2 Bühler, Oliver 2 Chada, Neil K. 2 Charon, Nicolas 2 Chen, Qingshan 2 Chen, Yuming 2 Compelli, Alan C. 2 Creech, Angus C. W. 2 Cullen, Michael John Priestley 2 Davatzikos, Christos 2 De Luna, Manuel Quezada 2 Delgado-Téllez, Marina 2 Desbrun, Mathieu 2 Do, Minh Hieu 2 Drivas, Theodore Dimitrios ...and 601 more Authors all top 5 Cited in 127 Serials 81 Journal of Computational Physics 21 SIAM Journal on Scientific Computing 20 Journal of Nonlinear Science 17 Computer Methods in Applied Mechanics and Engineering 13 SIAM/ASA Journal on Uncertainty Quantification 12 Physica D 9 Numerische Mathematik 9 SIAM Journal on Imaging Sciences 8 Foundations of Computational Mathematics 7 Journal of Fluid Mechanics 7 Journal of Scientific Computing 7 SIAM Journal on Applied Dynamical Systems 6 Inverse Problems 6 Nonlinearity 5 Geophysical and Astrophysical Fluid Dynamics 5 Journal of Mathematical Physics 5 Journal of Statistical Physics 5 SIAM Journal on Numerical Analysis 5 The Annals of Applied Probability 5 Statistics and Computing 5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 4 Computers & Mathematics with Applications 4 International Journal of Computer Vision 4 Journal of Mathematical Fluid Mechanics 4 Nonlinear Analysis. Real World Applications 4 Multiscale Modeling & Simulation 4 Journal of Geometric Mechanics 4 Foundations of Data Science 3 Computers and Fluids 3 Mathematics of Computation 3 Applied Mathematics and Computation 3 Studies in Applied Mathematics 3 Journal of Mathematical Imaging and Vision 3 Advances in Computational Mathematics 3 Computational Geosciences 3 Oberwolfach Reports 3 GEM - International Journal on Geomathematics 3 SMAI Journal of Computational Mathematics 2 Advances in Applied Probability 2 Wave Motion 2 Journal of Computational and Applied Mathematics 2 Journal of Differential Equations 2 Quarterly of Applied Mathematics 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 SIAM Review 2 Stochastic Processes and their Applications 2 Calculus of Variations and Partial Differential Equations 2 NoDEA. Nonlinear Differential Equations and Applications 2 Mathematical Problems in Engineering 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 European Journal of Mechanics. B. Fluids 2 Optimization and Engineering 2 Journal of Evolution Equations 2 Acta Numerica 2 Journal of Physics A: Mathematical and Theoretical 2 Communications in Computational Physics 2 Discrete and Continuous Dynamical Systems. Series S 2 Water Waves 1 Applicable Analysis 1 Computer Physics Communications 1 International Journal for Numerical Methods in Fluids 1 Journal of Engineering Mathematics 1 Letters in Mathematical Physics 1 Mathematical Biosciences 1 Reports on Mathematical Physics 1 Bulletin of Mathematical Biology 1 Chaos, Solitons and Fractals 1 ACM Transactions on Mathematical Software 1 Advances in Mathematics 1 Applied Mathematics and Optimization 1 BIT 1 Calcolo 1 International Journal for Numerical Methods in Engineering 1 International Statistical Review 1 Journal of Functional Analysis 1 Journal of Mathematical Psychology 1 Monatshefte für Mathematik 1 Systems & Control Letters 1 Stochastic Analysis and Applications 1 Mitteilungen der Gesellschaft für Angewandte Mathematik und Mechanik 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Applied Numerical Mathematics 1 Journal of Complexity 1 Statistical Science 1 SIAM Journal on Matrix Analysis and Applications 1 MCSS. Mathematics of Control, Signals, and Systems 1 Japan Journal of Industrial and Applied Mathematics 1 Differential Geometry and its Applications 1 Journal of Elasticity 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Computational Statistics and Data Analysis 1 Chinese Science Bulletin 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Engineering Analysis with Boundary Elements 1 Journal of Difference Equations and Applications 1 Bernoulli ...and 27 more Serials all top 5 Cited in 38 Fields 249 Numerical analysis (65-XX) 183 Fluid mechanics (76-XX) 125 Partial differential equations (35-XX) 86 Geophysics (86-XX) 70 Statistics (62-XX) 59 Probability theory and stochastic processes (60-XX) 50 Dynamical systems and ergodic theory (37-XX) 33 Calculus of variations and optimal control; optimization (49-XX) 31 Systems theory; control (93-XX) 28 Computer science (68-XX) 23 Global analysis, analysis on manifolds (58-XX) 22 Mechanics of particles and systems (70-XX) 15 Differential geometry (53-XX) 15 Mechanics of deformable solids (74-XX) 15 Biology and other natural sciences (92-XX) 14 Ordinary differential equations (34-XX) 10 Information and communication theory, circuits (94-XX) 7 Statistical mechanics, structure of matter (82-XX) 7 Operations research, mathematical programming (90-XX) 6 Quantum theory (81-XX) 4 Operator theory (47-XX) 3 General and overarching topics; collections (00-XX) 3 Approximations and expansions (41-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Integral equations (45-XX) 2 Functional analysis (46-XX) 2 Optics, electromagnetic theory (78-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Manifolds and cell complexes (57-XX) 1 Mathematics education (97-XX) Citations by Year