Some Publications:

Reports on meetings and Grants

See also Departmental report series

Submitted

	G. J. Lord and A. Tambue Stochastic exponential integrators for a finite element discretization of SPDEs
	G. J. Lord and A. Tambue A modified semi--implict Euler-Maruyama scheme for finite element discretization of SPDEs

2012

	E. J. Coutts and G. J. Lord Effects of noise on models of spiny dendrites http://dx.doi.org/10.1007/s10827-012-0418-4 Journal of Computational Neuroscience
	I. A. Adamu and G. J. Lord Numerical approximation of multiplicative SPDEs http://www.tandfonline.com/doi/abs/10.1080/00207160.2012.735664 International Journal of Computer Mathematics, Vol. 89. No. 18. doi = 10.1080/00207160.2012.735664.
	Yang, Dun, Martin, Qiu, Dunn, Lord, Lu, Duncan, Rickman Secretory Vesicles Are Preferentially Targeted to Areas of Low Molecular SNARE Density http://dx.doi.org/10.1371%2Fjournal.pone.0049514 PLoS ONE, Nov. 2012.
	G. J. Lord and A. Tambue Stochastic exponential integrators for finite element discretization of SPDEs for multiplicative and additive noise http://imajna.oxfordjournals.org/content/early/2012/07/31/imanum.drr059.abstract DOI: dx.doi.org/10.1137/100784734. IMA Journal of Numerical Analysis
	G. J. Lord and V. Thuemmler Freezing Stochastic Travelling Waves SIAM J. Sci. Comp. Vol 34. 20 Pages. http://dx.doi.org/10.1137/100784734
	S. Geiger, G. J. Lord and A. Tambue Exponential time integrators for stochastic partial differential equations in 3D reservoir simulation Computational Geosciences, 1420-0597, 2012. DOI: 10.1007/s10596-011-9273-z.

2011

	S. Bhowmik, D. B. Duncan, M. Grinfeld and G. J. Lord Finite to infinite steady state solutions, bifurcations of an integro-differential equation DCDS - B. Vol 16. No 1. July 2011 doi:10.3934/dcdsb.2011.16.57.
	L. Boulton and G. J. Lord Approximation properties of the q-sine bases Proc R Soc A published 13 April 2011, 10.1098/rspa.2010.0486
	P. E. Kloeden, G.J. Lord, A. Neuenkirch, T. Shardlow. The exponential integrator scheme for stochastic partial differential equations: Pathwise error bounds Journal of Computational and Applied Mathematics Volume 235, Issue 5, 1 January 2011, Pages 1245-1260 doi:10.1016/j.cam.2010.08.011

2010

	A. Tambue,G. J. Lord and S. Geiger. An exponential integrator for advection-dominated reactive transport in heterogeneous porous media Journal of Computational Physics http://dx.doi.org/10.1016/j.jcp.2010.01.037
	A. Tambue, S. Geiger and G. J.Lord Exponential integrators in 3 D for advection-dominated reactive transport in heterogeneous and anisotropic porous media,(ECMOR XII).

2009

Stochastic Methods in Neuroscience. OUP. Edited by C. Laing and G. J. Lord

2008

	J. Horak, G. J. Lord, M. A. Peletier Numerical variational methods applied to cylinder buckling , SIAM J. Sci Comp. March 2008. DOI 10.1137/060675241
	M Grinfeld and G J Lord Bifurcations in the regularized Ericksen bar model J. of Elasticity, Feb 2008. DOI 10.1007/s10659-007-9137-x
	Lord, G., Malham, S.J.A. and Wiese, A Efficient strong integrators for linear stochastic systems,SINUM 2008(Vol.46, No.6)

	G J Lord and T Shardlow Post processing for stochastic parabolic partial differential equations SIAM J. Num. Anal. Vol. 45. No 2. pp 870--889 doi = {10.1137/050640138} .
	S Coombes, Y Timofeeva, C-M Svensson, G J Lord, K Josic, S J Cox and C M Colbert Branching dendrites with resonant membrane: A "sum-over-trips" approach Biological Cybernetics, Vol 97, 137-149
	J.A. Sherratt, G.J. Lord Nonlinear dynamics and pattern bifurcations in a model for vegetation stripes in semi-arid environments,Theor. Pop. Biol 71, 1-11 (2007)

	J. Horak, G. J. Lord, M. A. Peletier Cylinder buckling: the mountain pass as an organizing center , SIAM J. Appl. Math. 66 (2006), no. 5, 1793-1824.
	Y Timofeeva, G J Lord and S Coombes Spatio-temporal filtering properties of a dendritic cable with active spines , Journal of Computational Neuroscience. Vol 21, pp 293--306, DOI 10.007/s10827-006-8776-4 2006.
	Y Timofeeva, G J Lord and S Coombes Dendritic cable with active spines: a modeling study in the spike-diffuse-spike framework, Neurocomputing. Vol. 69, Issues 10-12, pp 1058-1061

	G J Lord and J Rougemont A Numerical Scheme for Stochastic PDEs with Gevrey Regularity, IMA J. Num. Anal., Vol, 24, No 4, Oct 2004, pp 587-604. 2004. (ISSN 0272-4979)
	G J Lord and J Rougemont Numerical Computation of epsilon-Entropy for Parabolic-Equations Physica D, Vol 194, No. 1--2 pp 65--74, July 2004. doi:10.1016/j.physd.2004.01.040. (ISSN 0167-2789).

	G Hunt, G J Lord and M Peletier Cylindrical shell buckling: a characterization of localization and periodicity Discrete and Continuous Dynamical Systems - B , ISSN : 1531-3492, Vol. 3, No. 4, pp 505-518, 2003.
	S Coombes G J Lord and M Owen Waves and bumps in neuronal networks with axo-dendritic synaptic interactions Physica D,ISSN 0167-2789, Vol. 178, No. 3-4, pp 219-241, 2003.

	A R Champneys, J M Vanden-Broek and G J Lord Do true elevation gravity-capillary solitary waves exist? a numerical investigation Journal of Fluid Mechanics, Vol 454, 403 - 417 (2002)
	G J Lord and S Coombes Traveling waves in the Baer and Rinzel model of spine studded dendritic tissue Physica D 161, 1-20 (2002)
	G J Lord and J Rougemont Topological and $\epsilon$-entropy for Large Volume Limits of Discretised Parabolic Equations, Siam J. Num. Anal, Vol. 40, No. 4, pp 1311-1329

	G J Lord, D Peterhof, B Sandstede, A Scheel Numerical computation of solitary waves on infinite cylinders  SIAM J Num Anal,ISSN/BN 00361429, Vol 37, No 5, 1420-1454, 0218 (2000)
	G W Hunt, M A Peletier, A R Champneys, P D Woods, M Ahmer Wadee, C J Budd, G J Lord Cellular Buckling in Long Structures  Nonlinear Dynamics, Theme Issue on 'Localization' ISSN/BN 0924090X, 21(1), 3-29,(2000)

	G. J. Lord, A. R. Champneys and G. W. Hunt Computation of homoclinic orbits in partial differential equations: an application to cylindrical shell buckling.   SIAM J. Sci. Comp.ISSN/BN 10648275, 21, 591-619, (1999)
	G. W. Hunt, G. J. Lord and A. R. Champneys Homoclinic and Heteroclinic Orbits Underlying the Post-Buckling of axially Compressed Cylindrical Shells CMAME Special Issue : Computational Methods and Bifurcation Theory. Vol. 170 Nos. 3-4 (12 March 1999)
	G J Lord, A R Champneys, G W Hunt
	The Role of Homoclinic Bifurcations in Understanding the Buckling of Long Thin Cylindrical Shells IUTAM Symposium on New Applications of Nonlinear and Chaotic Dynamics in Mechanics1999
	P Tomlins, J Banyard, B Butler, G J Lord
	The influence of pigments on the dimensional stability of moulded plates  Polymers and Polymer Composites Vol 7 1999

	G. J. Lord
	Attractors and Inertial Manifolds for Finite Difference Approximations of the Complex Ginzburg-Landau Equation. SIAM J. Num Anal.Vol 34 No. 4 (August 1997).
	A. Champneys and G. Lord
	Computation of Homoclinic Solutions to Periodic Orbits in a Reduced Water-Wave Problem  Physica D. Vol. 102, 1997, pp. 101-124.
	G. J. Lord, A. R. Champneys and G. W. Hunt
	Localized Buckling of Long Thin Axially Compressed Cylinders.  Phil. Trans. series A Localization and Solitary Waves in Solid Mechanics. Vol. 355 No. 1732 Nov 1997.
	S. Coombes and G. J. Lord
	Desynchronization of pulse-coupled integrate-and-fire neurons .  Phys. Rev. E R2104-R2107, 3-A, Vol. 55, (1997)
	S. Coombes and G. J. Lord
	Intrinsic modulation of pulse-coupled integrate-and-fire neurons .  Phys. Rev. E Oct. 1997

1996

	F. Bai, G. J. Lord, A.Spence
	Numerical Computations of Connecting Orbits in Discrete and Continuous Dynamical Systems.  Int J of Bifurcation and Chaos. 1996 Vol 6 Number 7.

	G. J. Lord and A. M. Stuart.
	Discrete Gevrey Regularity, Attractors and Upper-Semicontinuity for a Finite Difference Approximation to the Complex Ginzburg-Landau Equation.  Num. Func. Anal. Opt. Vol 16 pp 1003-1049 1995

NB: Links above are to related reports.

• Report on EPSRC grant GR/R29949/01
• Final report on Stochastics Meeting : EPSRC GR/R91106/01 and photo
• Report on 1 day Dendrite meeting funded by ICIAM99
• Report on Mathematical Neuroscience Meeting at ICMS