Publications by Grant Lythe
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List of publications (.ps file)

List of publications (.pdf file)

List of publications (.bib file)
  1. Joseph Reynolds, Mark Coles, Grant Lythe and Carmen Molina-París

    Deterministic and stochastic naive T cell population dynamics: symmetric and asymmetric cell division

    Dynamical Systems 27 75

  2. Graham Donovan and Grant Lythe

    T-cell movement on the reticular network

    Journal of Theoretical Biology 295 59

  3. Carmen Molina-París, Katie Quinn, Emily Stirk and Grant Lythe

    Continuous-Time Birth and Death Processes: Diversity Maintenance of Naïve T Cells in the Periphery

    in: Mathematical Models and Immune Cell Biology Springer, 2011.

  4. Emily Stirk, Grant Lythe and Carmen Molina-París

    Multivariate Competition Processes: A Model for Two Competing T Cell Clonotypes

    in: Mathematical Models and Immune Cell Biology Springer, 2011.

  5. Mark Day and Grant Lythe

    Timescales of the Adaptive Immune Response

    in: Mathematical Models and Immune Cell Biology Springer, 2011.

  6. Emily R. Stirk, Grant Lythe, Hugo A. van den Berg and Carmen Molina-París

    Stochastic competitive exclusion in the maintenance of the naïve T cell repertoire

    Journal of Theoretical Biology 265 396-410 (2010)

  7. Emily Stirk, Grant Lythe, Hugo van den Berg, Gareth Hurst and Carmen Molina-París

    The limiting conditional distribution in a stochastic model of T cell repertoire maintenance

    Mathematical Biosciences 224 74-86 (2010)

  8. Kevin Burrage and Grant Lythe

    Accurate Stationary Densities with Partitioned Numerical Methods for Stochastic Differential Equations

    SIAM Journal on Numerical Analysis 471601-1618 (2009)

  9. Mario Castro and Grant Lythe

    Numerical experiments on noisy chains: from collective transitions to nucleation-diffusion

    SIAM Journal on Applied Dynamical Systems 7 207-219 (2008)

  10. Kevin Burrage, Ian Lenane and Grant Lythe

    Numerical methods for second-order stochastic differential equations

    SIAM Journal on Scientific Computing 29 245-264 (2007)

  11. Grant Lythe

    Diffusion-limited reaction in one dimension

    Physica D 222 159-163 (2006)

  12. Grant Lythe and Salman Habib.

    Kink Stochastics

    Computing in Science and Engineering 8,3 10-15 (2006)

  13. Kalvis Jansons and Grant Lythe

    Multidimensional exponential timestepping with boundary test.

    SIAM Journal on Scientific Computing 27 793-808 (2005)

  14. Roberto Camassa, Alp T. Findikoglu and Grant Lythe

    Transmission, reflection and second-harmonic generation in a nonlinear waveguide

    SIAM Journal on Applied Mathematics 66 1-28 (2005)

  15. Kalvis Jansons and Grant Lythe

    Exponential timestepping with boundary test for stochastic differential equations.

    SIAM Journal on Scientific Computing 24 1809 (2003)

  16. Grant Lythe and Franz Mertens

    Rice's ansatz for overdamped Ø4 kinks at finite temperature

    Physical Review E  67  027601   (2003)

  17. Grant Lythe and Salman Habib.

    Kinks in a Stochastic PDE

    p435-444 in proceedings of the IUTAM symposium on Nonlinear Stochastic Dynamics N. Sri Namachchivaya and Y.K.Lin (Eds.)  (2003)

  18. Alp T. Findikoglu, Roberto Camassa, Grant Lythe and Q.X. Jia.

    Dielectric nonlinearity and stochastic effects in strontium titanate

    Applied Physics Letters 80 3391 (2002)

  19. Salman Habib, Katja Lindenberg, Grant Lythe and Carmen Molina-París.

    Diffusion-limited reaction in one dimension: paired and unpaired nucleation

    Journal of Chemical Physics 115 73-89 (2001)

  20. Grant Lythe and Salman Habib.

    Stochastic PDEs: convergence to the continuum?

    Computer Physics Communications   142 29 (2001)

  21. Kalvis Jansons and Grant Lythe

    Efficient numerical solution of stochastic differential equations using exponential timestepping

    Journal of Statistical Physics 100 1097 (2000)

  22. Salman Habib and Grant Lythe

    Dynamics of kinks: nucleation, diffusion and annihilation

    Physical Review Letters 84 1070 (2000).

  23. Luís Bettencourt, Salman Habib and Grant Lythe

    Controlling one-dimensional Langevin dynamics on the lattice

    Physical Review D 60 105039 (1999).

  24. Grant Lythe and M.R.E. Proctor

    Predictability of noise-controlled dynamics

    Physica D 133 362 (1999).

  25. Esteban Moro and Grant Lythe

    Dynamics of defect formation

    Physical Review E 59 R1303-1306 (1999).

  26. Kalvis Jansons and Grant Lythe

    Stochastic Stokes' drift

    Physical Review Letters 81 3136-3139 (1998).

  27. J.C. Celet, D. Dangoisse, P. Glorieux, Grant Lythe and T. Erneux

    Slowly passing through resonance strongly depends on noise

    Physical Review Letters 81 975-978 (1998).

  28. A. T. Findikoglu, Q. X. Jia, D. W. Reagor, Y. Fan, Grant Lythe, R. A. Camassa, D. Cai, N. Gronbech-Jensen and A. R. Bishop

    New potential applications of nonlinear dielectrics: microwave solitons and stochastic resonance

    Integrated Ferroelectrics 22 259-268 (1998).

  29. Kalvis Jansons and Grant Lythe

    Stochastic Calculus: application to dynamic bifurcations and threshold crossings

    Journal of Statistical Physics 90 227-251 (1998).

  30. Grant Lythe

    Stochastic PDEs: domain formation in dynamic transitions

    Proceedings of FISES 97, J.A. Cuesta and A Sánchez, eds. (Editorial del CIH4AT, Madrid, 1998).

  31. Grant Lythe, T. Erneux, A. Gavrielides and V. Kovanis.

    Low pump limit of the bifurcation to periodic intensities in a semiconductor laser subject to external optical feedback

    Physical Review A 55 4443-4448 (1997).

  32. A. Gavrielides, V. Kovanis, P.M. Varangis, T.Erneux and Grant Lythe

    Coexisting periodic attractors in injection-locked diode lasers

    Quantum and semiclassical optics 9 785-796 (1997).

  33. Grant Lythe

    Domain formation in dynamic transitions with noise

    Physical Review E 53 R4271-4274 (1996).

Earlier publications