David Kay : Publications
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[1] |
Simulating Left Ventricular Fluid−Solid Mechanics through the Cardiac Cycle under LVAD Support M. McCormick‚ D. Nordsletten‚ D. Kay and N. Smith In Journal of Computational Physics. 2012. |
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[2] |
A Bidomain Model of the Ventricular Specialized Conduction System of the Heart R. Bordas‚ K. Gillow‚ B. Rodriguez‚ D. Gavaghan and D. Kay In SIAM Journal on Applied Mathematics. Vol. 72. No. 5. Pages 1618–1643. 2012. |
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[3] |
Adjoint−based a posteriori error estimation for coupled time−dependent systems Liya Asner‚ Simon Tavener and David Kay In SIAM Journal on Scientific Computing. Vol. 34(4). Pages 2394–2419. 2012. |
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[4] |
Modeling ion channel dynamics through reflected stochastic differential equations C. Dangerfield‚ D. Kay and K. Burrage In Phys. Rev. E. Vol. 85. No. 5. 2012. |
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[5] |
An efficient implementation of an implicit FEM scheme for fractional−in−space reaction−diffusion equations K. Burrage‚ N. Hale and D. Kay In SIAM Journal on Scientific Computing. Vol. 34(4). Pages 2145–2172. 2012. |
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[6] |
Efficient Simulation of Cardiac Electrical Propagation using High Order Finite Elements C. Arthurs‚ M. Bishop and D. Kay In Journal of Computational Physics. Vol. 231. Pages 3946−3962. 2012. |
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[7] |
Multi−cellular rosettes in the mouse visceral endoderm facilitate the ordered migration of AVE cells G. Trichas‚ A. Smith‚ N. White‚ V. Wilkins‚ A. Moore‚ B. Joyce‚ J. Sugnaseelan‚ T. Rodriguez‚ D. Kay‚ R. Baker‚ P. Maini and S. Srinivas In PLoS Biology. 2012. |
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[8] |
Computational modelling of cardiac electro−physiology: explanation of the variability of results from different numerical solvers P. Pathmanathan‚ M. Bernabeu‚ S. Niederer‚ D. Gavaghan and D. Kay In Int. J. Numerical Methods in Biomedical Engineering. Vol. 28. No. 8. Pages 890−903. 2012. |
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[9] |
Incorporating chemical signalling factors into cell−based models of growing epithelial tissues A.M. Smith‚ R.E. Baker‚ D. Kay and P.K. Maini In Journal of mathematical biology. Pages 1–23. 2011. |
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[10] |
Scalable parallel preconditioners for an open source cardiac electrophysiology simulation package M.O. Bernabeu and D. Kay In Procedia Computer Science. Vol. 4. Pages 821–830. 2011. |
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[11] |
A boundary preserving numerical algorithm for the Wright−Fisher model with mutation CE Dangerfield‚ D. Kay‚ S. MacNamara and K. Burrage In BIT Numerical Mathematics. Pages 1–22. 2011. |
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[12] |
Modelling left ventricular function under assist device support M. McCormick‚ D. Nordsletten‚ D. Kay and N. Smith In International Journal for Numerical Methods in Biomedical Engineering. 2011. |
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[13] |
Fluid−Solid Coupling for the Investigation of Diastolic and Systolic Human Left Ventricular Function D. A. Nordsletten‚ M. McCormick‚ D. Kay P. Kilner and N. P. Smith In International Journal for Numerical Methods in Biomedical Engineering. Vol. 27(7). Pages 1017–1039. 2011. |
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[14] |
Comparison of continuous and discrete stochastic ion channel models C.E. Dangerfield‚ D. Kay and K. Burrage In Engineering in Medicine and Biology Society‚ EMBC‚ 2011 Annual International Conference of the IEEE. Pages 704–707. IEEE. 2011. |
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[15] |
Stochastic models and simulation of ion channel dynamics D. Kay and others In Procedia Computer Science. Vol. 1. 2010. |
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[16] |
Fluid−mechanics simulations of ventricular function under LVAD support M. McCormick‚ D. Nordsletten‚ A. Vecchi‚ D. Kay and NP Smith In World Congress on Medical Physics and Biomedical Engineering‚ September 7−12‚ 2009‚ Munich‚ Germany. Pages 1572–1575. 2010. |
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[17] |
A Preconditioner for the Finite Element Approximation to the Arbitrary Lagrangian–Eulerian Navier–Stokes Equations D. Nordsletten‚ N. Smith and D. Kay In SIAM Journal on Scientific Computing. Vol. 32. Pages 521–543. 2010. |
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[18] |
A non−conforming monolithic finite element method for problems of coupled mechanics D. Nordsletten‚ D. Kay and N. Smith In Journal of Computational Physics. Vol. 229. No. 20. Pages 7571–7593. 2010. |
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[19] |
Adaptive time−stepping for incompressible flow Part II: Navier−Stokes Equations D.A. Kay‚ P.M. Gresho‚ D.F. Griffiths and D.J. Silvester In SIAM Journal on Scientific Computing. Vol. 32. Pages 111–128. 2010. |
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[20] |
Stimulus protocol determines the most computationally−efficient preconditioner for the bidomain equations Miguel Bernabeu‚ Pras Pathmanathan‚ Joe Pitt−Francis and David Kay In IEEE Transactions on Biomedical Engineering. Vol. 57. Pages 2806–2815. 2010. |
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[21] |
Color Image Segmentation by the Vector−Valued Allen–Cahn Phase−Field Model: A Multigrid Solution D.A. Kay and A. Tomasi In Image Processing‚ IEEE Transactions on. Vol. 18. No. 10. Pages 2330–2339. 2009. |
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[22] |
Discontinuous Galerkin finite element approximation of the Cahn–Hilliard equation with convection D. Kay‚ V. Styles and E. Süli In SIAM Journal on Numerical Analysis. Vol. 47. No. 4. Pages 2660–2685. 2009. |
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[23] |
Coupling contraction‚ excitation‚ ventricular and coronary blood flow across scale and physics in the heart J. Lee‚ S. Niederer‚ D. Nordsletten‚ I. Le Grice‚ B. Smail‚ D. Kay and N. Smith In Philosophical Transactions of the Royal Society A: Mathematical‚ Physical and Engineering Sciences. Vol. 367. No. 1896. Pages 2311. 2009. |
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[24] |
Finite element approximation of a Cahn−Hilliard−Navier−Stokes system D. Kay‚ V. Styles and R. Welford In Interfaces Free Bound. Vol. 10. Pages 15–43. 2008. |
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[25] |
Efficient numerical solution of Cahn–Hilliard–Navier–Stokes fluids in 2D D. Kay and R. Welford In SIAM Journal on Scientific Computing. Vol. 29. Pages 2241. 2007. |
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[26] |
Mathematical analysis of an integral equation arising from population dynamics DA Kay‚ M. Sagheer and Q. Tang In Mathematical biosciences. Vol. 210. No. 2. Pages 415–435. 2007. |
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[27] |
A Block Preconditioner for High−Order Mixed Finite Element Approximations to the Navier–Stokes Equations D. Kay and E. Lungu In SIAM Journal on Scientific Computing. Vol. 27. Pages 1867. 2006. |
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[28] |
Time−dependent annealing and deposition on substrates with repulsive interactions JA Venables‚ J. DeGraffenreid‚ D. Kay and P. Yang In Physical Review B. Vol. 74. No. 7. Pages 075412. 2006. |
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[29] |
A multigrid finite element solver for the Cahn–Hilliard equation D. Kay and R. Welford In Journal of Computational Physics. Vol. 212. No. 1. Pages 288–304. 2006. |
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[30] |
Finite element analysis of a current density–electric field formulation of Bean's model for superconductivity CM Elliott‚ D. Kay and V. Styles In IMA journal of numerical analysis. Vol. 25. No. 1. Pages 182–204. 2005. |
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[31] |
A finite element approximation of a variational inequality formulation of Bean's model for superconductivity CM Elliott‚ D. Kay and V. Styles In SIAM journal on numerical analysis. Pages 1324–1341. 2005. |
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[32] |
A Preconditioner for the Steady−State Navier–Stokes Equations D. Kay‚ D. Loghin and A. Wathen In SIAM Journal on Scientific Computing. Vol. 24. Pages 237. 2002. |
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[33] |
A preconditioner for the 3D Oseen equations H. Elman‚ D. Kay‚ D. Loghin‚ D. J. Silvester and A. J. Wathen No. 4. 2002. |
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[34] |
A new preconditioner for the Oseen equations A. J. Wathen‚ D. Loghin‚ D. Kay‚ H. C. Elman and D. J. Silvester In Proceedings of the European Conference on Numerical Mathematics and Advanced Applications. 2001. |
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[35] |
The reliability of local error estimators for convection–diffusion equations D. Kay and D. Silvester In IMA journal of numerical analysis. Vol. 21. No. 1. Pages 107–122. 2001. |
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[36] |
Efficient preconditioning of the linearized Navier−Stokes equations A.W. D. Silvester H. Elman D. Kay In Journal of Computational and Applied Mathematics. Vol. 128. No. 1−2. Pages 261–279. 2001. |
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[37] |
Approximation theory for the hp−version finite element method and application to the non−linear Laplacian M. Ainsworth and D. Kay In Applied numerical mathematics. Vol. 34. No. 4. Pages 329–344. 2000. |
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[38] |
Adaptive finite element simulation of currents at microelectrodes to a guaranteed accuracy. ECE and EC2E mechanisms at channel microband electrodes K. Harriman‚ D.J. Gavaghan‚ P. Houston‚ D. Kay and E. Suli In Electrochemistry communications. Vol. 2. No. 8. Pages 576–585. 2000. |
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[39] |
The approximation theory for the p−version finite element method and application to non−linear elliptic PDEs M. Ainsworth and D. Kay In Numerische Mathematik. Vol. 82. No. 3. Pages 351–388. 1999. |
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[40] |
A Green's function preconditioner for the steady−state Navier−Stokes equations D. Kay and D. Loghin 1999. |
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[41] |
A posteriori error estimation for stabilized mixed approximations of the Stokes equations D. Kay and D. Silvester In SIAM Journal on Scientific Computing. Vol. 21. Pages 1321. 1999. |
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[42] |
The approximation theory for the p−version finite element method and application to non−linear elliptic PDE's M. Ainsworth and D. Kay In Num. Math.. Vol. 82. Pages 351–388. 1999. |
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[43] |
Efficient preconditioning of the linearized Navier−Stokes equations H. Elman‚ A. Wathen‚ D. Silvester‚ H. Elman and D. Kay In J. Comp. Appl. Math. Citeseer. 1999. |
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[44] |
The P−and Hp−Finite Element Method Applied to a Class of Non−linear Elliptic Partial Differential Equations D. Kay University of Leicester. 1997. |
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[45] |
The rate of convergence of the p−version finite element method for the non−linear Laplacian M. Ainsworth and D. Kay In Prague Mathematical Conference 1996. 1996. |
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[46] |
Report Number 11/42 K. Burrage‚ N. Hale and D. Kay
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