Search Results - "Lord, G J"
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An exponential integrator for advection-dominated reactive transport in heterogeneous porous media
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
The exponential integrator scheme for stochastic partial differential equations: Pathwise error bounds
Published in Journal of computational and applied mathematics (2011)“…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
Stochastic exponential integrators for the finite element discretization of SPDEs for multiplicative and additive noise
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
Cellular Buckling in Long Structures
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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Asynchronous discrete event schemes for PDEs
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
Numerical computation of ε-entropy for parabolic equations with analytic solutions
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
Homoclinic and heteroclinic orbits underlying the post-buckling of axially-compressed cylindrical shells
Published in Computer methods in applied mechanics and engineering (12-03-1999)“…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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Traveling waves in the Baer and Rinzel model of spine studded dendritic tissue
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
Numerical approximation of multiplicative SPDEs
Published in International journal of computer mathematics (01-12-2012)“…We prove convergence of the stochastic exponential time differencing scheme for parabolic stochastic partial differential equations (SPDEs) with…”
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10
Computation of localized post buckling in long axially compressed cylindrical shells
Published in Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences (15-11-1997)“…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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11
Waves and bumps in neuronal networks with axo-dendritic synaptic interactions
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
Bifurcations in the Regularized Ericksen Bar Model
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
Branching dendrites with resonant membrane: a "sum-over-trips" approach
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
A numerical scheme for stochastic PDEs with Gevrey regularity
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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15
Desynchronization of pulse-coupled integrate-and-fire neurons
Published in Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics (01-03-1997)Get full text
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16
New efficient substepping methods for exponential timestepping
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
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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18
Computation of homoclinic solutions to periodic orbits in a reduced water-wave problem
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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19
Nonlinear dynamics and pattern bifurcations in a model for vegetation stripes in semi-arid environments
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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Marketing nonprofits
Published in Grantsmanship Center News (01-01-1981)Get more information
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