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Cotter, Colin John

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Author ID: cotter.colin-john Recent zbMATH articles by "Cotter, Colin John"
Published as: Cotter, C. J.; Cotter, Colin J.; Cotter, Colin; Cotter, Colin John
External Links: MGP · ORCID
Documents Indexed: 55 Publications since 2004, including 2 Books

Publications by Year

Citations contained in zbMATH Open

49 Publications have been cited 374 times in 273 Documents Cited by Year
Probabilistic forecasting and Bayesian data assimilation. Zbl 1314.62005
Reich, Sebastian; Cotter, Colin
47
2015
Mixed finite elements for numerical weather prediction. Zbl 1284.86005
Cotter, C. J.; Shipton, J.
26
2012
A finite element exterior calculus framework for the rotating shallow-water equations. Zbl 1351.76054
Cotter, C. J.; Thuburn, J.
25
2014
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.
21
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.
16
2017
Multisymplectic formulation of fluid dynamics using the inverse map. Zbl 1129.37036
Cotter, C. J.; Holm, D. D.; Hydon, P. E.
16
2007
Numerically modeling stochastic Lie transport in fluid dynamics. Zbl 1454.76064
Cotter, Colin; Crisan, Dan; Holm, Darryl D.; Pan, Wei; Shevchenko, Igor
15
2019
A framework for mimetic discretization of the rotating shallow-water equations on arbitrary polygonal grids. Zbl 1246.65155
Thuburn, J.; Cotter, C. J.
13
2012
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
13
2009
Multilevel ensemble transform particle filtering. Zbl 1338.65006
Gregory, A.; Cotter, C. J.; Reich, S.
13
2016
Numerical wave propagation for the triangular \(P1_{DG}-P2\) finite element pair. Zbl 1316.76019
Cotter, C. J.; Ham, D. A.
12
2011
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.
12
2016
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.
12
2015
Continuous and discrete Clebsch variational principles. Zbl 1171.37026
Cotter, C. J.; Holm, D. D.
11
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.
10
2011
Ensemble filter techniques for intermittent data assimilation. Zbl 1291.65032
Reich, Sebastian; Cotter, Colin J.
8
2013
Embedded discontinuous Galerkin transport schemes with localised limiters. Zbl 1349.65616
Cotter, C. J.; Kuzmin, D.
8
2016
The variational particle-mesh method for matching curves. Zbl 1153.37010
Cotter, C. J.
7
2008
A variational \(\boldsymbol{H}(\mathrm {div})\) finite-element discretization approach for perfect incompressible fluids. Zbl 1408.65069
Natale, Andrea; Cotter, Colin J.
7
2018
The square root depth wave equations. Zbl 1211.76028
Cotter, C. J.; Holm, D. D.; Percival, J. R.
6
2010
Adiabatic invariance and applications: from molecular dynamics to numerical weather prediction. Zbl 1142.37354
Cotter, Colin John; Reich, Sebastian
5
2004
A reparameterisation based approach to geodesic constrained solvers for curve matching. Zbl 1254.65024
Cotter, Colin J.; Clark, Allan; Peiró, Joaquim
5
2012
Variational water-wave model with accurate dispersion and vertical vorticity. Zbl 1273.76060
Cotter, Colin; Bokhove, Onno
5
2010
Geodesic boundary value problems with symmetry. Zbl 1375.49032
Cotter, Colin J.; Holm, Darryl D.
5
2010
Semigeostrophic particle motion and exponentially accurate normal forms. Zbl 1114.76008
Cotter, Colin J.; Reich, Sebastian
5
2006
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 Euler-Poincaré framework for the multilayer Green-Nagdhi equations. Zbl 1143.76021
Percival, J. R.; Cotter, C. J.; Holm, D. D.
4
2008
Estimating eddy diffusivities from noisy Lagrangian observations. Zbl 1183.62143
Cotter, C. J.; Pavliotis, G. A.
4
2009
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.
4
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
4
2020
Bayesian data assimilation in shape registration. Zbl 1273.65013
Cotter, C. J.; Cotter, S. L.; Vialard, F.-X.
3
2013
A variational formulation of vertical slice models. Zbl 1371.86019
Cotter, C. J.; Holm, D. D.
3
2013
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.
3
2018
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.
2
2017
Mixed finite elements for global tide models. Zbl 1381.76160
Cotter, Colin J.; Kirby, Robert C.
2
2016
A framework for the automation of generalized stability theory. Zbl 1292.34048
Farrell, P. E.; Cotter, C. J.; Funke, S. W.
2
2014
A jetlet hierarchy for ideal fluid dynamics. Zbl 1296.76106
Cotter, C. J.; Holm, D. D.; Jacobs, H. O.; Meier, D. M.
2
2014
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.
2
2018
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
2
2020
Geometric integration of a wave-vortex model. Zbl 1035.76041
Cotter, C. J.; Reich, S.
1
2004
A seamless multilevel ensemble transform particle filter. Zbl 1378.65022
Gregory, A.; Cotter, C. J.
1
2017
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.
1
2013
Mixed finite elements for global tide models with nonlinear damping. Zbl 1402.65095
Cotter, Colin J.; Graber, P. Jameson; Kirby, Robert C.
1
2018
Data assimilation on the exponentially accurate slow manifold. Zbl 1353.86032
Cotter, Colin
1
2013
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.
1
2016
The scaling and skewness of optimally transported meshes on the sphere. Zbl 1416.65323
Budd, Chris J.; McRae, Andrew T. T.; Cotter, Colin J.
1
2018
Ensemble transport adaptive importance sampling. Zbl 1422.62104
Cotter, Colin; Cotter, Simon; Russell, Paul
1
2019
The \(r\)-Hunter-Saxton equation, smooth and singular solutions and their approximation. Zbl 07278335
Cotter, Colin J.; Deasy, Jacob; Pryer, Tristan
1
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
1
2020
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
4
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
2
2020
The \(r\)-Hunter-Saxton equation, smooth and singular solutions and their approximation. Zbl 07278335
Cotter, Colin J.; Deasy, Jacob; Pryer, Tristan
1
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
1
2020
Numerically modeling stochastic Lie transport in fluid dynamics. Zbl 1454.76064
Cotter, Colin; Crisan, Dan; Holm, Darryl D.; Pan, Wei; Shevchenko, Igor
15
2019
Ensemble transport adaptive importance sampling. Zbl 1422.62104
Cotter, Colin; Cotter, Simon; Russell, Paul
1
2019
A variational \(\boldsymbol{H}(\mathrm {div})\) finite-element discretization approach for perfect incompressible fluids. Zbl 1408.65069
Natale, Andrea; Cotter, Colin J.
7
2018
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.
4
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.
3
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.
2
2018
Mixed finite elements for global tide models with nonlinear damping. Zbl 1402.65095
Cotter, Colin J.; Graber, P. Jameson; Kirby, Robert C.
1
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.
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.
16
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.
2
2017
A seamless multilevel ensemble transform particle filter. Zbl 1378.65022
Gregory, A.; Cotter, C. J.
1
2017
Multilevel ensemble transform particle filtering. Zbl 1338.65006
Gregory, A.; Cotter, C. J.; Reich, S.
13
2016
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.
12
2016
Embedded discontinuous Galerkin transport schemes with localised limiters. Zbl 1349.65616
Cotter, C. J.; Kuzmin, D.
8
2016
Mixed finite elements for global tide models. Zbl 1381.76160
Cotter, Colin J.; Kirby, Robert C.
2
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.
1
2016
Probabilistic forecasting and Bayesian data assimilation. Zbl 1314.62005
Reich, Sebastian; Cotter, Colin
47
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.
12
2015
A finite element exterior calculus framework for the rotating shallow-water equations. Zbl 1351.76054
Cotter, C. J.; Thuburn, J.
25
2014
A framework for the automation of generalized stability theory. Zbl 1292.34048
Farrell, P. E.; Cotter, C. J.; Funke, S. W.
2
2014
A jetlet hierarchy for ideal fluid dynamics. Zbl 1296.76106
Cotter, C. J.; Holm, D. D.; Jacobs, H. O.; Meier, D. M.
2
2014
Ensemble filter techniques for intermittent data assimilation. Zbl 1291.65032
Reich, Sebastian; Cotter, Colin J.
8
2013
Bayesian data assimilation in shape registration. Zbl 1273.65013
Cotter, C. J.; Cotter, S. L.; Vialard, F.-X.
3
2013
A variational formulation of vertical slice models. Zbl 1371.86019
Cotter, C. J.; Holm, D. D.
3
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.
1
2013
Data assimilation on the exponentially accurate slow manifold. Zbl 1353.86032
Cotter, Colin
1
2013
Mixed finite elements for numerical weather prediction. Zbl 1284.86005
Cotter, C. J.; Shipton, J.
26
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.
21
2012
A framework for mimetic discretization of the rotating shallow-water equations on arbitrary polygonal grids. Zbl 1246.65155
Thuburn, J.; Cotter, C. J.
13
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.
12
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.
10
2011
The square root depth wave equations. Zbl 1211.76028
Cotter, C. J.; Holm, D. D.; Percival, J. R.
6
2010
Variational water-wave model with accurate dispersion and vertical vorticity. Zbl 1273.76060
Cotter, Colin; Bokhove, Onno
5
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
13
2009
Continuous and discrete Clebsch variational principles. Zbl 1171.37026
Cotter, C. J.; Holm, D. D.
11
2009
Estimating eddy diffusivities from noisy Lagrangian observations. Zbl 1183.62143
Cotter, C. J.; Pavliotis, G. A.
4
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.
4
2008
Multisymplectic formulation of fluid dynamics using the inverse map. Zbl 1129.37036
Cotter, C. J.; Holm, D. D.; Hydon, P. E.
16
2007
Semigeostrophic particle motion and exponentially accurate normal forms. Zbl 1114.76008
Cotter, Colin J.; Reich, Sebastian
5
2006
Adiabatic invariance and applications: from molecular dynamics to numerical weather prediction. Zbl 1142.37354
Cotter, Colin John; Reich, Sebastian
5
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 top 5

Cited by 459 Authors

29 Cotter, Colin John
23 Holm, Darryl D.
11 Reich, Sebastian
6 Jasra, Ajay
6 Kuzmin, Dmitri
6 Stuart, Andrew M.
5 Bethencourt de León, Aythami
5 Linke, Alexander
5 Mang, Andreas
4 Alonso-Orán, Diego
4 Bauer, Werner
4 Biros, George
4 Crisan, Dan O.
4 de Wiljes, Jana
4 Gay-Balmaz, François
4 Ivanov, Rossen I.
4 Korn, Peter
4 Law, Kody J. H.
4 Maddison, James R.
4 Oliver, Marcel
4 Shipton, Jemma
4 Zhou, Shouming
3 Akbas, Mine
3 Bishop, Adrian N.
3 Bokhove, Onno
3 Bruveris, Martins
3 Camassa, Roberto
3 Cotter, Simon L.
3 Del Moral, Pierre
3 Dubinkina, Svetlana
3 Effland, Alexander
3 Hoel, Hakon A.
3 Kirby, Robert C.
3 Krumscheid, Sebastian
3 Le Roux, Daniel Y.
3 Luesink, Erwin
3 Marzouk, Youssef M.
3 McRae, Andrew T. T.
3 Mitchell, Lawrence
3 Mohamad, Haidar
3 Pain, Christopher C.
3 Palha, Artur
3 Pan, Wei
3 Rumpf, Martin
3 Schroeder, Philipp W.
3 Takao, So
3 Thuburn, John
3 Trouvé, Alain
3 Vialard, François-Xavier
3 Zhuk, Sergiĭ M.
2 Albers, David J.
2 Bauer, Martin
2 Bridges, Thomas J.
2 Budd, Christopher John
2 Chang, Justin
2 Compelli, Alan C.
2 Delgado-Téllez, Marina
2 Desbrun, Mathieu
2 Drivas, Theodore Dimitrios
2 Eldred, Christopher
2 Engbert, Ralf
2 Fang, Fangxin
2 Farrell, Patrick E.
2 Flandoli, Franco
2 Fletcher, Preston Thomas
2 Fochesato, Christophe
2 Frank, Jason
2 Garbuno-Inigo, Alfredo
2 García-Archilla, Bosco
2 Gawlik, Evan S.
2 Hairer, Ernst
2 Hajduk, Hennes
2 Ham, David A.
2 Houssineau, Jeremie
2 Ibort, Alberto
2 Kamatani, Kengo
2 Kamensky, David
2 Knepley, Matthew G.
2 Kuang, Dongyang
2 Leahy, James-Michael
2 Lee, Long
2 Lehrenfeld, Christoph
2 Levine, Matthew E.
2 Lie, Han Cheng
2 Llor, Antoine
2 Lubich, Christian
2 Marsden, Jerrold Eldon
2 Marsland, Stephen R.
2 Meier, David M.
2 Melvin, Thomas R. O.
2 Michor, Peter Wolfram
2 Mullen, Patrick
2 Navon, Ionel Michael
2 Neumayer, Sebastian
2 Novo, Julia
2 Nüsken, Nikolas
2 Öktem, Ozan
2 Oliver, Dean S.
2 Pathiraja, Sahani D.
2 Pavliotis, Grigorios A.
...and 359 more Authors
all top 5

Cited in 92 Serials

51 Journal of Computational Physics
17 SIAM Journal on Scientific Computing
14 Journal of Nonlinear Science
11 Computer Methods in Applied Mechanics and Engineering
10 SIAM/ASA Journal on Uncertainty Quantification
8 SIAM Journal on Imaging Sciences
6 Numerische Mathematik
5 Journal of Mathematical Physics
5 Journal of Statistical Physics
5 SIAM Journal on Numerical Analysis
5 Physica D
4 Journal of Fluid Mechanics
4 International Journal of Computer Vision
4 Foundations of Computational Mathematics
4 SIAM Journal on Applied Dynamical Systems
4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
3 Computers & Mathematics with Applications
3 Nonlinearity
3 Applied Mathematics and Computation
3 Journal of Mathematical Imaging and Vision
3 Computational Geosciences
3 Nonlinear Analysis. Real World Applications
3 Journal of Geometric Mechanics
3 Statistics and Computing
2 Computers and Fluids
2 Inverse Problems
2 Wave Motion
2 Mathematics of Computation
2 Quarterly of Applied Mathematics
2 Studies in Applied Mathematics
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Stochastic Processes and their Applications
2 NoDEA. Nonlinear Differential Equations and Applications
2 Advances in Computational Mathematics
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 Journal of Evolution Equations
2 Multiscale Modeling & Simulation
2 Journal of Physics A: Mathematical and Theoretical
2 SMAI Journal of Computational Mathematics
2 Water Waves
1 Advances in Applied Probability
1 Applicable Analysis
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 Applied Mathematics and Optimization
1 Calcolo
1 Journal of Differential Equations
1 Journal of Mathematical Psychology
1 Monatshefte für Mathematik
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 Journal of Scientific Computing
1 The Annals of Applied Probability
1 Differential Geometry and its Applications
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 SIAM Review
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 Computational Statistics and Data Analysis
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 Calculus of Variations and Partial Differential Equations
1 Russian Journal of Numerical Analysis and Mathematical Modelling
1 Engineering Analysis with Boundary Elements
1 Journal of Difference Equations and Applications
1 Discrete and Continuous Dynamical Systems
1 Chaos
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Journal of Mathematical Fluid Mechanics
1 Matematicheskoe Modelirovanie
1 Archives of Computational Methods in Engineering
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Journal of Machine Learning Research (JMLR)
1 International Journal of Geometric Methods in Modern Physics
1 Acta Numerica
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Inverse Problems and Imaging
1 Discrete and Continuous Dynamical Systems. Series S
1 Advances in Mathematical Physics
1 GEM - International Journal on Geomathematics
1 S\(\vec{\text{e}}\)MA Journal
1 Minimax Theory and its Applications
1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences

Citations by Year