@article{Arthurs_uniform,
  title = "Efficient Simulation of Cardiac Electrical Propagation using High Order Finite Elements",
  author = "C. Arthurs and M. Bishop and D. Kay",
  year = "To Appear",
  journal = "Journal of Computational Physics",
}
@article{Aaron_2011_1,
  title = "Multi-cellular rosettes in the mouse visceral endoderm facilitate the ordered migration of AVE cells",
  author = "G. Trichas and A. Smith and N. White and V. Wilkins and A. Moore and B. Joyce and J. Sugnaseelan and T. Rodriguez and D. Kay and R. Baker and P. Maini and S. Srinivas",
  year = "To Appear",
  journal = "PLoS Biology",
}
@article{Pras_2011_1,
  title = "Computational modelling of cardiac electro-physiology: explanation of the variability of results from different numerical solvers",
  author = "P. Pathmanathan and M. Bernabeu and S. Niederer and D. Gavaghan and D. Kay",
  year = "To Appear",
  journal = "J. Numerical Methods in Biomedical Engineering",
}
@article{Aaron_2011_2,
  title = "Incorporating a model of chemical signalling factors into a cell-based model of growing epithelial tissues,",
  author = "A. M. Smith and R. E. Baker and D. Kay and P. K. Maini",
  year = "To Appear",
  journal = "J. Math. Bio.",
}
@article{danger_2011_2,
  title = "A Boundary Preserving Numerical Algorithm for the Wright-Fisher Model with Mutation",
  author = "C. E. Dangerfield and D. Kay and S. Macnamara and K. Burrage",
  year = "2011",
  journal = "BIT Num. Math.",
  doi = "10.1007/s10543-011-0351-3",
}
@proceedings{Danger2011_1,
  title = "Comparison of Continuous and Discrete Stochastic Ion Channel Models.",
  author = "C. E. Dangerfield and D. Kay and K. Burrage.",
  year = "2011",
  journal = "Engineering in Medicine and Biology Society,EMBC, 2011 Annual International Conference of the IEEE",
  doi = "10.1109/IEMBS.2011.6090159",
}
@article{nordsletteneal_1_2010,
  title = "Fluid-Solid Coupling for the Investigation of Diastolic and Systolic Human Left Ventricular Function",
  author = "D. A. Nordsletten and M. McCormick and P. Kilner, D. Kay and N. P. Smith",
  year = "2011",
  journal = "International Journal for Numerical Methods in Biomedical Engineering",
  pages = "1017--1039",
  volume = "27(7)",
  doi = "DOI: 10.1002/cnm.1405",
}
@proceedings{miguel_para,
  title = "Scalable parallel preconditioners for an open source cardiac electrophysiology simulation package",
  author = "M.O. Bernabeu and D. Kay",
  year = "2011",
  journal = "Procedia Computer Science",
  pages = "821--830",
  volume = "4",
}
@article{lvad2010,
  title = "Modelling Left Ventricular Function under Assist Device Support",
  author = "M. McCormick and D. Nordsletten and D. Kay and N. Smith",
  year = "2011",
  journal = "International Journal for Numerical Methods in Biomedical Engineering",
  pages = "1073--1095",
  volume = "27",
}
@inproceedings{dangerkayburr2010a,
  title = "Stochastic models and simulation of ion channel dynamics",
  author = "C. Dangerfield and D. Kay and K. Burrage",
  year = "2010",
  journal = "Procedia Computer Science",
  number = "1",
  pages = "1581-1590",
  volume = "1",
}
@article{nordsmithkay1,
  title = "A Preconditioner for the Finite Element Approximation to the ALE Navier-Stokes Equations",
  author = "David Nordsletten and Nic Smith and David Kay",
  year = "2010",
  journal = "SIAM J. Sci. Comp.",
  number = "2",
  pages = "521--543",
  volume = "32",
  doi = "10.1137/08072958X",
}
@article{adaptive time navier stokes,
  title = "Adaptive time-stepping for incompressible flow Part II: Navier-Stokes Equations",
  author = "David A. Kay and Philip M. Gresho and David F. Griffiths and David J. Silvester",
  year = "2010",
  journal = "SIAM J. Sci. Comp.",
  number = "1",
  pages = "111-128",
  volume = "32",
  doi = "10.1137/080728032",
}
@article{nordsletteneta_2_2009,
  title = "A Non-conforming Monolithic Finite Element Method for Problems of coupled mechanics",
  author = "D. Nordsletten and D. Kay and N. Smith",
  year = "2010",
  journal = "J. Comp. Phys.",
  pages = "7571--7593",
  volume = "229",
  doi = "10.1016/j.jcp.2010.05.043",
}
@article{bernetal2010a,
  title = "Stimulus protocol determines the most computationally-efficient preconditioner for the bidomain equations",
  author = "Miguel Bernabeu and Pras Pathmanathan and Joe Pitt-Francis and David Kay",
  year = "2010",
  journal = "IEEE Transactions on Biomedical Engineering",
  pages = "2806--2815",
  volume = "57",
}
@inproceedings{McCoreta2009,
  title = "Fluid-mechanics simulations of ventricular function under LVAD support",
  author = "M. McCormick and D. Nordsletten and A.de Vecchi and D. Kay and N. Smith",
  year = "2009",
  journal = "World Congress 2009, IFMBE Proceedings 25/IV",
  pages = "1572--1575",
  doi = "10.1007/978-3-642-03882-2_417",
}
@article{kaytom,
  title = "Colour image sementation by the vector-valued Allen-Cahn phase-field model: a multigrid solution",
  author = "D. Kay and A. Tomasi",
  year = "2009",
  journal = "IEEE Trans. Image Proc.",
  number = "10",
  pages = "2330--2339",
  volume = "18",
  doi = "10.1109/TIP.2009.2026678",
}
@article{kaystylessuli,
  title = "Discontinuous Galerkin finite element approximation of the Cahn--Hilliard equation with convection",
  author = "David Kay and Vanessa Styles and Endre Suli",
  year = "2009",
  journal = "SIAM J. Num Anal.",
  pages = "2660--2685",
  volume = "47",
  doi = "10.1137/080726768",
}
@article{Leeetal2009,
  title = "Coupling Contraction, Excitation, Ventricular and Coronary Blood Flow across scale and physics in the Heart",
  author = "Jack Lee and Steven Niederer and David Nordsletten and David Kay and Nicolas Smith",
  year = "2009",
  journal = "Phil. Trans. R. Soc. A",
  pages = "2311--2331",
  volume = "367",
  doi = "10.1098/rsta.2008.0311",
}
@article{kaystyleswelford2007,
  title = "Finite element approximation of a Cahn-Hilliard-Navier-Stokes system",
  author = "D. Kay and V. Styles and R. Welford",
  year = "2008",
  journal = "Interfaces and free Boundaries",
  number = "1",
  pages = "15--43",
  volume = "10",
  doi = "10.4171/IFB/178",
}
@article{kaywelford2007,
  title = "Efficient Numerical Solution of Cahn-Hilliard-Navier-Stokes Fluids in 2D",
  author = "D. Kay and R. Welford",
  year = "2007",
  journal = "SIAM J. Sci. Comp.",
  pages = "2241--2257",
  doi = "10.1137/050648110",
}
@article{kaysagtang,
  title = "Mathematical Analysis of an integral equation arising from population dynamics",
  author = "D. A. Kay and M. Sagheer and Q. Tang",
  year = "2007",
  journal = "Mathematical Biosciences",
  number = "2",
  pages = "415--435",
  volume = "210",
  doi = "10.1016/j.mbs.2007.05.013",
}
@article{kaylungu,
  title = "A block preconditioner for high order mixed finite element approximations to the Navier-Stokes equations",
  author = "D. Kay and E. Lungu",
  year = "2006",
  journal = "SIAM J. Sci. Comp.",
  number = "6",
  pages = "1867--1880",
  volume = "27",
  doi = "10.1137/040609045",
}
@article{kayven,
  title = "Time-dependent annealing and deposition on substrates with repulsive interactions",
  author = "J. A. Venables and J. DeGraffenreid and D. Kay and P. Yang",
  year = "2006",
  journal = "Phys. Rev. B",
  volume = "74",
  doi = "10.1103/PhysRevB.74.075412",
}
@article{kaywelford2006,
  title = "A Multigrid Finite Element Solver for the Cahn-Hilliard Equation",
  author = "D. Kay and R. Welford",
  year = "2006",
  journal = "J. Comp. Phys.",
  number = "1",
  pages = "288-304",
  volume = "212",
  doi = "10.1016/j.jcp.2005.07.004",
}
@article{elliottkaystyles2005,
  title = "Finite Element Analysis of a Current Density - Electric Field Formulation of Bean's Model for Superconductivity",
  author = "C. M. Elliott and D. Kay and V. Styles",
  year = "2005",
  journal = "IMA J. Num. Anal.",
  pages = "182--204",
  volume = "25",
  doi = "10.1093/imanum/drh018",
}
@article{elliottkaystyles2004,
  title = "Finite Element Approximation of a Variational Inequality Formulation of Bean's Model for Superconductivity",
  author = "C. M. Elliott and D. Kay and V. Styles",
  year = "2004",
  journal = "SIAM J. Num. Anal.",
  number = "3",
  pages = "1324--1341",
  volume = "42",
  doi = "10.1137/S0036142902412324",
}
@techreport{elmanetal2002,
  title = "A preconditioner for the 3D Oseen equations",
  author = "H. Elman and D. Kay and D. Loghin and D. J. Silvester and A. J. Wathen",
  year = "2002",
  journal = "Oxford Numerical Analysis Group",
  number = "4",
  volume = "NA-02",
}
@article{kayloghinwathen2002,
  title = "A Preconditioner for the Steady-State Navier-Stokes Equations",
  author = "D. Kay and D. Loghin and A. J. Wathen",
  year = "2002",
  journal = "SIAM J. Sci. Comput.",
  pages = "237--256",
  volume = "24",
  doi = "10.1137/S106482759935808X",
}
@article{kaysilvester2001,
  title = "The reliability of local error estimators for convection-diffusion equations",
  author = "D. Kay and David Silvester",
  year = "2001",
  journal = "IMA J. Num. Anal.",
  pages = "107--122",
  volume = "21",
  doi = "10.1093/imanum/21.1.107",
}
@inproceedings{wathenetal2001,
  title = "A new preconditioner for the Oseen equations",
  author = "A. J. Wathen and D. Loghin and D. Kay and H. C. Elman and D. J. Silvester",
  year = "2001",
  journal = "Proceedings of the European Conference on Numerical Mathematics and Advanced Applications",
}
@article{elmanetal2000,
  title = "Efficient preconditioning of the linearized Navier-Stokes equations",
  author = "H. Elman, D. Kay, D. J. Silvester and A. Wathen",
  year = "2001",
  journal = "J. Comput. Appl. Math.",
  pages = "261--279",
  doi = "10.1016/S0377-0427(00)00515-X",
}
@article{harrimanetal2000,
  title = "Adaptive finite element simulation of currents at microelectrodes to a guaranteed accuracy. $ECE$ and $E{C_2}E$ mechanisms at channel microband electrodes",
  author = "K. Harriman and D. J. Gavaghan and P. Houston an D. Kay and E. Suli",
  year = "2000",
  issn = "1388-2481",
  journal = "Electrochemistry Comm.",
  number = "8",
  pages = "576--585",
  volume = "2",
  doi = "10.1016/S1388-2481(00)00075-8",
}
@article{ainsworthkay2000,
  title = "Approximation theory for the hp-version finite element method and application to the non-linear Laplacian",
  author = "M. Ainsworth and D. Kay",
  year = "2000",
  journal = "Appl. Num. Math.",
  pages = "329--344",
  volume = "34",
  doi = "10.1016/S0168-9274(99)00040-9",
}
@article{kaysilvester1999,
  title = "A posteriori error estimation for stabilized mixed approximations of the Stokes equations",
  author = "D. Kay and D. J. Silvester",
  year = "1999",
  journal = "SIAM J. Sci. Comput.",
  number = "4",
  pages = "1321--1336",
  volume = "21",
  doi = "10.1137/S1064827598333715",
}
@article{ainsworthkay1999,
  title = "The approximation theory for the p-version finite element method and application to non-linear elliptic PDE's",
  author = "M. Ainsworth and D. Kay",
  year = "1999",
  journal = "Num. Math.",
  pages = "351--388",
  volume = "82",
  doi = "10.1007/s002110050423",
}
@inproceedings{ainskay1,
  title = "The rate of convergence of the p-version finite element method for the non-linear Laplacian",
  author = "M. Ainsworth and D. Kay",
  year = "1996",
  booktitle = "Prague Mathematical Conference 1996",
}