Search Results - "Lord, G J"

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  1. 1

    An exponential integrator for advection-dominated reactive transport in heterogeneous porous media by Tambue, A., Lord, G.J., Geiger, S.

    Published in Journal of computational physics (20-05-2010)
    “…We present an exponential time integrator in conjunction with a finite volume discretisation in space for simulating transport by advection and diffusion…”
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  2. 2

    The exponential integrator scheme for stochastic partial differential equations: Pathwise error bounds by Kloeden, P.E., Lord, G.J., Neuenkirch, A., Shardlow, T.

    “…We present an error analysis for the pathwise approximation of a general semilinear stochastic evolution equation in d dimensions. We discretise in space by a…”
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  3. 3

    Stochastic exponential integrators for the finite element discretization of SPDEs for multiplicative and additive noise by Lord, G. J., Tambue, A.

    Published in IMA journal of numerical analysis (01-04-2013)
    “…We consider the numerical approximation of a general second-order semilinear parabolic stochastic partial differential equation driven by multiplicative and…”
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  4. 4

    Cellular Buckling in Long Structures by Hunt, G W, MA Peletier, Champneys, A R, Woods, P D, Wadee, M Ahmer, Budd, C J, Lord, G J

    Published in Nonlinear dynamics (01-01-2000)
    “…A long structural system with an unstable (subcritical)post-buckling response that subsequently restabilizes typically deformsin a cellular manner, with…”
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  5. 5

    Asynchronous discrete event schemes for PDEs by Stone, D., Geiger, S., Lord, G.J.

    Published in Journal of computational physics (01-08-2017)
    “…A new class of asynchronous discrete-event simulation schemes for advection–diffusion–reaction equations is introduced, based on the principle of allowing…”
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  6. 6

    Numerical computation of ε-entropy for parabolic equations with analytic solutions by Lord, G.J., Rougemont, J.

    Published in Physica. D (01-07-2004)
    “…We report on numerical experiments computing the ε-entropy for parabolic partial differential equations. The ε-entropy is a measure of the spatial density of…”
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  7. 7

    Homoclinic and heteroclinic orbits underlying the post-buckling of axially-compressed cylindrical shells by Hunt, G.W., Lord, G.J., Champneys, A.R.

    “…A structural system with an unstable post-buckling response that subsequently restabilizes has the potential to exhibit homoclinic connections from the…”
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  8. 8

    Traveling waves in the Baer and Rinzel model of spine studded dendritic tissue by Lord, G.J., Coombes, S.

    Published in Physica. D (2002)
    “…The Baer and Rinzel model of dendritic spines uniformly distributed along a dendritic cable is shown to admit a variety of regular traveling wave solutions…”
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  9. 9

    Numerical approximation of multiplicative SPDEs by Adamu, I. A., Lord, G. J.

    “…We prove convergence of the stochastic exponential time differencing scheme for parabolic stochastic partial differential equations (SPDEs) with…”
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  10. 10

    Computation of localized post buckling in long axially compressed cylindrical shells by Lord, G. J., Champneys, A. R., Hunt, G. W.

    “…Buckling is investigated of a long thin cylindrical shell under longitudinal compression as modelled by the von Kármán–Donnell equations. Evidence is reviewed…”
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    Waves and bumps in neuronal networks with axo-dendritic synaptic interactions by Coombes, S., Lord, G.J., Owen, M.R.

    Published in Physica. D (15-04-2003)
    “…We consider a firing rate model of a neuronal network continuum that incorporates axo-dendritic synaptic processing and the finite conduction velocities of…”
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  12. 12

    Bifurcations in the Regularized Ericksen Bar Model by Grinfeld, M., Lord, G. J.

    Published in Journal of elasticity (01-02-2008)
    “…We consider the regularized Ericksen model of an elastic bar on an elastic foundation on an interval with Dirichlet boundary conditions as a two-parameter…”
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  13. 13

    Branching dendrites with resonant membrane: a "sum-over-trips" approach by Coombes, S, Timofeeva, Y, Svensson, C-M, Lord, G J, Josić, K, Cox, S J, Colbert, C M

    Published in Biological cybernetics (01-08-2007)
    “…Dendrites form the major components of neurons. They are complex branching structures that receive and process thousands of synaptic inputs from other neurons…”
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  14. 14

    A numerical scheme for stochastic PDEs with Gevrey regularity by Lord, Gabriel J., Rougemont, Jacques

    Published in IMA journal of numerical analysis (01-10-2004)
    “…We consider strong approximations to parabolic stochastic PDEs. We assume the noise lies in a Gevrey space of analytic functions. This type of stochastic…”
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    New efficient substepping methods for exponential timestepping by Lord, G.J., Stone, D.

    Published in Applied mathematics and computation (15-08-2017)
    “…Exponential integrators are time stepping schemes which exactly solve the linear part of a semilinear ODE system. This class of schemes requires the…”
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    Attractors and Inertial Manifolds for Finite-Difference Approximations of the Complex Ginzburg-Landau Equation by Lord, Gabriel James

    Published in SIAM journal on numerical analysis (01-08-1997)
    “…A semidiscrete spatial finite-difference approximation and two fully discrete finite-difference approximations to the complex Ginzburg-Landau equation are…”
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    Computation of homoclinic solutions to periodic orbits in a reduced water-wave problem by Champneys, A.R, Lord, G.J

    Published in Physica. D (01-03-1997)
    “…This paper concerns homoclinic solutions to periodic orbits in a fourth-order Hamiltonian system arising from a reduction of the classical water-wave problem…”
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    Nonlinear dynamics and pattern bifurcations in a model for vegetation stripes in semi-arid environments by Sherratt, Jonathan A., Lord, Gabriel J.

    Published in Theoretical population biology (01-02-2007)
    “…In many semi-arid environments, vegetation is self-organised into spatial patterns. The most striking examples of this are on gentle slopes, where striped…”
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