# Items where department is "Faculty of Science > Mathematics and Statistics > Mathematics"

Up a level |

- University Departments (161)
- Faculty of Science (161)
- Mathematics and Statistics (161)
**Mathematics**(161)

- Mathematics and Statistics (161)

- Faculty of Science (161)

**161**.

## A

Augarde, C.E. and Ramage, A. and Staudacher, J.
(2007)
*Element-based preconditioners for elasto-plastic problems.*
International Journal for Numerical Methods in Engineering, 71 (7).
pp. 757-779.
ISSN 0029-5981

Ainsworth, M. and Coyle, J.
(2003)
*Hierarchic finite element bases on unstructured tetrahedral meshes.*
International Journal for Numerical Methods in Engineering, 58 (14).
pp. 2103-2130.
ISSN 0029-5981

Ainsworth, M. and Coyle, J. and Ledger, P. and Morgan, K.
(2003)
*Computation of Maxwell eigenvalues using higher order edge elements in three dimensions.*
IEEE Transactions on Magnetics, 39 (5).
pp. 2149-2153.
ISSN 0018-9464

Ainsworth, M. and Coyle, J.
(2003)
*Conditioning of hierarchic p-version Nedelec elements on meshes of curvilinear quadrilaterals and hexahedra.*
SIAM Journal on Numerical Analysis, 41 (2).
pp. 731-750.
ISSN 0036-1429

Ainsworth, M. and Pinchedez, K.
(2003)
*hp-Approximation theory for BDFM/RT finite elements and applications.*
SIAM Journal on Numerical Analysis, 40 (6).
pp. 2047-2068.
ISSN 0036-1429

Ainsworth, M. and Coyle, J.
(2002)
*Computation of Maxwell eigenvalues on curvilinear domains using hp-version nedelec elements.*
In:
Numerical mathematics and advanced applications.
Springer, Italy.
ISBN 8847001803

Ainsworth, M. and Pinchedez, K.
(2002)
*The HP-MITC finite element method for the Reissner-Mindlin Plate Problem.*
Journal of Computational and Applied Mathematics, 148 (2).
pp. 429-462.
ISSN 0377-0427

Ainsworth, Mark and Coyle, Joe
(2001)
*Hierarchic hp-edge element families for Maxwell's equations on hybrid quadrilateral/triangular meshes.*
Computer Methods in Applied Mechanics and Engineering, 190 (49-50).
pp. 6709-6733.

Aldridge, C.J. and McKee, S. and McDonald, J.R. and Galloway, S.J. and Dahal, K.P. and Bradley, M.E. and Macqueen, J.F.
(2001)
*Knowledge-based genetic algorithm for unit commitment.*
IEE Proceedings Generation Transmission and Distribution, 148 (2).
pp. 146-152.
ISSN 1350-2360

Ainsworth, M. and Coyle, J.
(2001)
*hp-finite element approximation of Maxwell's equations on curvilinear hybrid meshes.*
In: European Conference on Computational Mechanics, 2001-06-26 - 2001-06-29.

## B

Belleni-Morante, A. and Lamb, W. and McBride, A.C.
(2009)
*A photon transport problem with a time-dependent point source.*
Analysis and Applications, 7 (1).
pp. 1-19.
ISSN 0219-5305

Belleni-Morante, A. and Lamb, W. and McBride, A.C.
(2007)
*Photon transport problems involving a point source.*
Analysis and Applications, 5 (1).
pp. 77-93.
ISSN 0219-5305

Berkolaiko, G. and Grinfeld, M.
(2006)
*Multiplicity of periodic solutions in bistable systems.*
Proceedings A: Mathematical, Physical and Engineering Sciences, 462 (2067).
pp. 1001-1019.
ISSN 1364-5021

Bedeaux, D. and Osipov, M.A. and Vlieger, J.
(2004)
*Reflection of light at structured chiral interfaces.*
Journal of the Optical Society of America A, 21 (12).
pp. 2431-2441.
ISSN 1084-7529

Berkolaiko, G.
(2004)
*Form factor for large quantum graphs: evaluating orbits with time-reversal.*
Waves in Random Media, 14.
S7-S27.
ISSN 0959-7174

Blair, P.N. and Lamb, W. and Stewart, Iain W.
(2004)
*An application of semigroup theory to a fragmentation equation.*
In:
Integral Methods in Science and Engineering.
Birkhauser, Boston, USA, pp. 19-24.
ISBN 081764377X

Bryden, A. and Higham, D.J.
(2003)
*On the boundedness of asymptotic stability regions for the stochastic theta method.*
BIT Numerical Mathematics, 43 (1).
pp. 1-7.
ISSN 0006-3835

Berkolaiko, G.
(2003)
*Form factor for a family of quantum graphs: an expansion to third order.*
Journal of Physics A: Mathematical and Theoretical, 36 (31).
pp. 8373-8392.
ISSN 0305-4470

Berkolaiko, G.
(2003)
*Intermediate wave-function statistics.*
Physical Review Letters, 94 (13).
p. 134103.
ISSN 0031-9007

Berkolaiko, G. and Shanz, H. and Whitney, R.S.
(2002)
*Leading off-diagonal correction to the form factor of large graphs.*
Physical Review Letters, 88 (10).
p. 104101.

Barclay, G.J. and Griffiths, D.F. and Higham, D.J.
(2000)
*Theta method dynamics.*
LMS Journal of Computation and Mathematics, 3.
pp. 27-43.
ISSN 1461-1570

## C

Chalmers, Graeme and Higham, Desmond
(2010)
*First and second moment reversion for a discretized square root process with jumps.*
Journal of Difference Equations and Applications, 16 (2-3).
pp. 143-156.
ISSN 1023-6198

Carson, G. and Mulholland, A.J. and Nordon, A. and Gachagan, A. and Hayward, G.
(2009)
*Theoretical analysis of ultrasonic vibration spectra from multiple particle-plate impacts.*
IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, 56 (5).
pp. 1034-1041.
ISSN 0885-3010

Carson, G. and Mulholland, A.J. and Nordon, A. and Tramontana, M. and Gachagan, A. and Hayward, G.
(2009)
*Estimating particle concentration using passive ultrasonic measurement of impact vibrations.*
IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, 56 (2).
pp. 345-352.
ISSN 0885-3010

Chalmers, Graeme, D and Higham, Desmond J.
(2008)
*Asymptotic stability of a jump-diffusion equation and its numerical approximation.*
SIAM Journal on Scientific Computing, 31 (2).
pp. 1141-1155.
ISSN 1064-8275

Carter, S.L. and Diaz, A.
(2008)
*Resource seeking behaviour among small business owners: is gender an issue?*
In: DIANA International Research Symposium 2008, 2008-11-04.

Carson, G. and Mulholland, A.J. and Nordon, A. and Tramontana, M. and Gachagan, A. and Hayward, G.
(2008)
*Particle sizing using passive ultrasonic measurement of particle-wall impact vibrations.*
Journal of Sound and Vibration, 317 (1-2).
pp. 142-157.
ISSN 0022-460X

Carson, G. and Mulholland, A.J. and Tramontana, M. and Nordon, A. and Hayward, G.
(2006)
*P1H-2 particle sizing in the process industry using Hertz-Zener impact theory and acoustic emission spectra.*
In:
IEEE Ultrasonics Symposium, 2006.
IEEE, pp. 1406-1409.
ISBN 1424402018

Carson, G. and Mulholland, A.J. and Tramontana, M. and Nordon, A. and Hayward, G.
(2006)
*Particle sizing in the process industry using Hertz-Zener impact theory and acoustic emission spectra.*
In: IEEE International Ultrasonics Symposium, 1900-01-01.

Crane, R.L. and Hayward, D. and McConnell, B. and Pethrick, R.A. and Mulholland, A.J. and McKee, S. and Mackay, C.
(2006)
*Assessment of adhesively bonded aluminium joints by high frequency dielectric measurements.*
Sampe Journal, 42 (5).
pp. 35-38.
ISSN 0091-1062

Crane, R.L. and Hayward, D. and McConnell, B. and Pethrick, R.A. and Mulholland, A.J. and McKee, S. and MacKay, C.
(2005)
*Assessment of adhesively bonded aluminium joints by high frequency dielectric measurements.*
In: 37th ISTC, 2005-10-31 - 2005-11-03.
(Unpublished)

Constanda, C.
(2002)
*Solution techniques for elementary partial differential equations.*
CRC Mathematics Series
.
Chapman and Hall.
ISBN 1-58488-257-3

Chudinovich, I. and Constanda, C.
(2002)
*Dynamic transmission problems for plates.*
Zeitschrift für Angewandte Mathematik und Physik, 53 (6).
1060 - 1074.
ISSN 0044-2275

Constanda, C.
(2002)
*An enhanced theory of bending of plates.*
In:
Integral Methods in Science and Engineering.
Birkhauser, pp. 191-196.
ISBN 0-8176-4213-7

Constanda, C.
(2002)
*An initial-boundary value problem for elastic plates.*
In:
Integral Methods in Science and Engineering.
Birkhauser, pp. 63-68.
ISBN 0-8176-4213-7

Chudinovich, I. and Constanda, C.
(2001)
*Combined displacement-traction boundary value problems for elastic plates.*
Mathematics and Mechanics of Solids, 6 (2).
pp. 175-191.
ISSN 1081-2865

Chudinovich, I. and Constanda, C.
(2001)
*The Solvability of boundary integral equations for the Dirichlet and Neumann problems in the theory of thin elastic plates.*
Mathematics and Mechanics of Solids, 6 (3).
pp. 269-279.
ISSN 1081-2865

## D

Dunn, Gavin and Wilson, S.K. and Duffy, B.R. and David, S. and Sefiane, K.
(2009)
*The strong influence of substrate conductivity on droplet evaporation.*
Journal of Fluid Mechanics, 623.
pp. 329-351.
ISSN 0022-1120

Dunn, Gavin and Wilson, S.K. and Duffy, B.R. and Sefiane, K.
(2009)
*Evaporation of a thin droplet on a thin substrate with a high thermal resistance.*
Physics of Fluids, 21.
ISSN 1070-6631

De Matteis, G. and Sonnet, A.M. and Virga, E.G.
(2008)
*Landau theory for biaxial nematic liquid crystals with two order parameter tensors.*
Continuum Mechanics and Thermodynamics, 20 (6).
pp. 347-374.
ISSN 0935-1175

Dunn, G.J. and Wilson, S.K. and Duffy, B.R. and David, S. and Sefiane, K.
(2008)
*A mathematical model of the evaporation of a thin sessile liquid droplet: Comparison between experiment and theory.*
Colloids and Surfaces A: Physicochemical and Engineering Aspects, 323 (1-3).
pp. 50-55.
ISSN 0927-7757

Dunn, Gavin and Wilson, S.K. and Duffy, B.R. and David, S. and Sefiane, K.
(2008)
*The effect of the thermal conductivity of the substrate on droplet evaporation.*
In:
Mathematics in Industry.
Springer, pp. 779-783.
ISBN 978-3-540-71991-5

Dahal, K. and Aldridge, C. and Galloway, S.J.
(2007)
*Evolutionary hybrid approaches for a power system scheduling problem.*
European Journal of Operational Research, 177 (3).
pp. 2050-2068.
ISSN 0377-2217

Diaz, A. and Mottram, N.J. and McKay, G.
(2005)
*Theoretical model of the transition between C1 and C2 chevron structures in smectic liquid crystals.*
European Physical Journal E - Soft Matter, 18 (2).
pp. 231-237.
ISSN 1292-8941

De Matteis, G.
(2005)
*Bifurcation analysis and computer simulation for biaxial liquid crystals.*
Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 72 (4).
ISSN 1063-651X

Das, K.S.
(2005)
*A mathematical model for the explosive growth of a vapour bubble confined in a uniformly heated capillary tube.*
In: The 43rd Convocation of the Indian Institute of Technology Bombay, 2005-09-01.
(Unpublished)

Dunn, Gavin
(2005)
*The non-isothermal spreading of a thin drop on a heated or cooled horizontal substrate.*
In: Edinburgh Mathematical Society Postgraduate Students' Meeting, 2005-05-10 - 2005-05-12.
(In Press)

Diaz, A. and McKay, Geoffrey and Mottram, Nigel
(2005)
*Effects of weak anchoring on C1 and C2 chevron structures.*
Molecular Crystals and Liquid Crystals, 438.
pp. 1581-1589.
ISSN 1542-1406

Das, K.S. and Wilson, S.K.
(2004)
*The Unsteady expansion and contraction of a two-dimensional vapour bubble confined between superheated or subcooled plates.*
In: 57th Annual Meeting of the Division of Fluid Dynamics, 2004-11-21 - 2004-11-23.

Das, K.S.
(2004)
*A new theoretical model for the unsteady expansion and contraction of a long vapour bubble confined between superheated or subcooled parallel plates.*
In: UNSPECIFIED.

Dahal, K. and Galloway, S.J. and Aldridge, C.
(2003)
*Developing GA-based hybrid approaches for a real-world mixed-integer scheduling problem.*
In: Congress on Evolutionary Computation (CEC), 2003-12-08 - 2003-12-12.

## E

Emelyanenko, A.V. and Osipov, M.A.
(2004)
*Origin of spontaneous polarisation, tilt and chiral structure of smectic liquid crystal phases composed of bent-core molecules. A molecular model.*
Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 70 (021704).
pp. 1-8.
ISSN 1063-651X

Emelyanenko, Alexander and Osipov, Mikhail
(2004)
*Theoretical studies of the structure of intermediate chiral smectic phases with increasing periodicity.*
Ferroelectrics, 309 (1).
pp. 13-25.
ISSN 0015-0193

## G

Gorkunov, Maxim and Osipov, Mikhail and Kapernaum, Nadja and Nonnenmacher, Dorothee and Giesselmann, Frank
(2011)
*Molecular theory of smectic ordering in liquid crystals with nanoscale segregation of different molecular fragments.*
Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 84 (5).
ISSN 1063-651X

Gorkunov, M.V. and Osipov, M.A. and Kocot, A. and Vij, J.K.
(2010)
*Molecular model of biaxial ordering in nematic liquid crystals composed of flat molecules with four mesogenic groups.*
Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 81 (6).
ISSN 1063-651X

Grindrod, P. and Higham, D.J. and Kalna, G.
(2010)
*Periodic reordering.*
IMA Journal of Numerical Analysis, 30.
pp. 195-207.
ISSN 0272-4979

Gorkunov, M.V. and Osipov, M.A.
(2008)
*Molecular theory of layer contraction in smectic liquid crystals.*
Journal of Physics: Condensed Matter, 20 (46).
p. 465101.
ISSN 0953-8984

Gorkunov, M.V. and Osipov, M.A.
(2008)
*Molecular models for the smectic A–smectic C phase transition in a system of biaxial molecules.*
Journal of Physics A: Mathematical and Theoretical, 41 (29).
ISSN 0305-4470

Gorkunov, M.V. and Osipov, M.A.
(2008)
*Tunability of wire-grid metamaterial immersed into nematic liquid crystal.*
Journal of Applied Physics, 103 (3).
ISSN 0021-8979

Grindrod, Peter and Higham, Desmond J. and Kalna, Gabriela and Spence, Alistair and Stoyanov, Zhivko and Vass, J. Keith
(2008)
*DNA meets the SVD.*
Mathematics Today, 44.
pp. 80-85.

Gauthier, A. and Knight, P.A. and McKee, S.
(2007)
*The Hertz contact problem, coupled Volterra integral equations and a linear complementarity problem.*
Journal of Computational and Applied Mathematics, 206 (1).
pp. 322-340.
ISSN 0377-0427

Gorkunov, M.V. and Giesselmann, F. and Lagerwall, J.P.F. and Sluckin, T.J. and Osipov, M.A.
(2007)
*Molecular model for de Vries type smectic-A-smectic-C phase transition in liquid crystals.*
Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 75 (6).
060701-1.
ISSN 1063-651X

## H

Higham, D.J. and Kalna, G. and Vass, J.K.
(2008)
*Multidimensional partitioning and bi-partitioning: analysis and application to gene expression datasets.*
International Journal of Computer Mathematics, 85 (3/4).
pp. 475-485.
ISSN 0020-7160

Higham, D.J. and Chalmers, G.D.
(2008)
*Convergence and stability analysis for implicit simulations of stochastic differential equations with random jump magnitudes.*
Discrete and Continuous Dynamical Systems - Series B, 9 (1).
pp. 47-64.
ISSN 1531-3492

Hunt, R.
(2007)
*Numerical solution of the free-surface viscous flow on a horizontal rotating elliptical cylinder.*
Numerical Methods for Partial Differential Equations, 24 (4).
pp. 1094-1114.
ISSN 0749-159X

Higham, D.J. and Kalna, G. and Vass, J.K.
(2005)
*Analysis of the singular value decomposition as a tool for processing microarray expression data.*
In: Proceedings of ALGORITMY 2005, 2005-03-13 - 2005-03-18.

Halling, Peter J. and Wilson, Stephen K. and Jacobs, Ralf and McKee, Sean and Coles, Christopher W.
(2003)
*Modeling the kinetics of enzymic reactions in mainly solid reaction mixtures.*
Biotechnology Progress, 19 (4).
pp. 1228-1237.
ISSN 8756-7938

Hoggett-Jones, C. and Robbins, C. and Gettinby, G. and Blythe, S.P.
(2002)
*Modelling the inventory and impact assessment of partitioning and transmutation approaches to spent nuclear fuel management.*
Annals of Nuclear Energy, 29 (5).
pp. 491-508.
ISSN 0306-4549

Hunt, R.
(2002)
*Numerical solution of the flow of viscous sheets under gravity and the inverse windscreen sagging problem.*
International Journal of Numerical Methods in Fluids, 38 (6).
pp. 533-553.
ISSN 0271-2091

Hoggett-Jones, C. and Robbins, C. and Gettinby, G. and Blythe, S.P.
(2001)
*Implications associated with the sensitivity analysis of fast flux transmutation systems.*
Progress in Nuclear Energy, 39 (3-4).
pp. 353-366.
ISSN 0149-1970

## K

Khan, K.N. and Lamb, W. and McBride, A.C.
(2009)
*Fractional transformations of generalised functions.*
Integral Transforms and Special Functions, 20 (6).
pp. 471-490.
ISSN 1065-2469

Kenning, D.B.R. and Wen, D.S. and Das, K.S. and Wilson, S.K.
(2006)
*Confined growth of a vapour bubble in a capillary tube at initially uniform superheat: experiments and modelling.*
International Journal of Heat and Mass Transfer, 49 (23-24).
pp. 4653-4671.
ISSN 0017-9310

Kalna, G. and McKee, S.
(2004)
*The thermostat problem with a nonlocal nonlinear boundary condition.*
IMA Journal of Applied Mathematics, 69 (5).
pp. 437-462.
ISSN 1464-3634

Kubik, J. and Kaczmarek, M. and Murdoch, A.I.
(2004)
*Modelling coupled phenomena in saturated porous materials.*
AMAS Lecture Notes Series, 20.
ISSN 1642-0578

Kakol, Jerzy and Tweddle, Ian
(2002)
*Spaces of continuous functions Cp(X, E) as (LM)-spaces.*
In:
P-adic Numbers in Number Theory, Analytic Geometry and Functional Analysis.
Belgian Mathematical Society, pp. 109-116.

Kidd, J.E. and Constanda, C. and MacKenzie, John and Stewart, Iain
(2002)
*Connection between liquid crystal theory and plate theory.*
In:
Integral Methods in Science and Engineering: Theoretical and Practical Aspects.
Birkhauser, Boston, USA.
ISBN 0-8176-4213-7

Kidd, J.E. and Constanda, Christian and Stewart, Iain W.
(2001)
*Freedericksz transitions in circular toroidal layers of smectic C liquid crystals.*
IMA Journal of Applied Mathematics, 66 (4).
pp. 387-409.
ISSN 1464-3634

## L

Laird, A.M. and Cherubini, S. and Ostrowski, A.N. and Aliotta, M. and Davinson, T. and Di Pietro, A. and Figuera, P. and Groombridge, D. and Galster, W. and Graulich, J.S. and Hinnefeld, J. and Lattuada, M. and Leleux, P. and Michel, L. and Musumarra, A. and Ninane, A. and Pellegriti, M.G. and Shotter, A.C. and Spitaleri, A. and Tumino, A. and Vervier, J. and Woods, P.
(2002)
*Indirect study of the astrophysically important 15O(α,γ)19Ne reaction through 2H(18Ne,19Ne)1H.*
Physical Review C: Nuclear Physics, 66 (4).
pp. 1-4.
ISSN 0556-2813

Lewchuck, W. and Stewart, P. and Yates, C.
(2001)
*Quality of working life in the automobile industry: a Canada-UK comparitive study.*
New Technology, Work and Employment, 16 (2).
pp. 72-87.
ISSN 0268-1072

## M

Murdoch, A. Ian
(2011)
*On the identification of continuum concepts and fields with molecular variables.*
Continuum Mechanics and Thermodynamics, 23 (1).
pp. 1-26.
ISSN 0935-1175

Murdoch, A. Ian
(2010)
*On molecular modelling and continuum concepts.*
Journal of Elasticity, 100 (1-2).
pp. 33-61.
ISSN 0374-3535

McKay, G. and Millar, H.
(2009)
*Two-dimensional modelling of a freely suspended smectic film.*
Molecular Crystals and Liquid Crystals, 512 (1).
pp. 124-135.
ISSN 1542-1406

Mao, X. and Luo, Q. and Deng, F. and Bao, J. and Zhang, Y.
(2008)
*Theory and application of stability for stochastic reaction diffusion systems.*
Science in China Series F - Information Sciences, 51 (2).
pp. 158-170.
ISSN 1009-2757

MacKenzie, J.A. and Mekwi, W.
(2007)
*An analysis of stability and convergence of a finite-difference discretization of a model parabolic PDE in 1D using a moving mesh.*
IMA Journal of Numerical Analysis, 27 (3).
pp. 507-528.
ISSN 0272-4979

Mackay, C. and Hayward, D. and Mulholland, A.J. and McKee, S. and Pethrick, R.A.
(2007)
*An inverse problem of reconstructing the electrical and geometrical parameters characterising airframe structures and connector interfaces.*
Inverse Problems in Science and Engineering, 15 (3).
pp. 177-190.

Murdoch, A.I.
(2006)
*Some primitive concepts in continuum mechanics regarded in terms of space-time molecular averaging: the key role played by inertial observers.*
Journal of Elasticity, 84 (1).
pp. 69-97.
ISSN 0374-3535

Mackay, Cameron and Mulholland, A. and McKee, S.
(2006)
*Diffusion and convection of gaseous and fine particulate from a chimney.*
IMA Journal of Applied Mathematics, 71 (5).
pp. 670-691.
ISSN 1464-3634

Morrison, Julie L and Breitling, Rainer and Higham, Desmond J and Gilbert, David R
(2005)
*GeneRank : using search engine technology for the analysis of microarray experiments.*
BMC Bioinformatics, 6 (1).
p. 233.

Mackay, C. and Hayward, D. and Mulholland, A.J. and McKee, S. and Pethrick, R.A.
(2005)
*Reconstruction of the spatial dependency of dielectric and geometrical properties of adhesively bonded structures.*
Journal of Physics D: Applied Physics, 38 (12).
pp. 1943-1949.
ISSN 0022-3727

Murdoch, A.I.
(2005)
*On criticism of the nature of objectivity in classical continuum physics.*
Continuum Mechanics and Thermodynamics, 17 (2).
pp. 135-148.

Millar, H. and McKay, G.
(2005)
*Director orientation of a twisted nematic under the influence of an in-plane magnetic field.*
Molecular Crystals and Liquid Crystals, 435.
pp. 937-946.

Murdoch, A.I.
(2005)
*Objectivity in Continuum Mechanics.*
In: UNSPECIFIED.

Murdoch, A.I.
(2005)
*Some fundamental aspects of surface modelling.*
Journal of Elasticity, 80 (1-3).
pp. 33-52.
ISSN 0374-3535

McEwan, N.A. and Kalna, G. and Mellor, D.
(2004)
*A comparison of adherence by four strains of Staphylococcus intermedius and Staphylococcus hominis to canine corneocytes collected from normal dogs and dogs suffering from atopic dermatitis.*
Research in Veterinary Science, 78 (3).
pp. 193-198.

Mackenzie, K.R. and McKay, G.
(2004)
*Director orientation in nematic liquid crystals under orthogonal magnetic and electric fields.*
Molecular Crystals and Liquid Crystals, 413 (1).
pp. 197-209.
ISSN 1542-1406

McKay, G. and MacKenzie, K.R. and Mottram, N.J.
(2004)
*Competing polarization effects in a homeotropically aligned smectic liquid crystal.*
Ferroelectrics, 309.
pp. 35-41.
ISSN 0015-0193

Morrison, J.
(2004)
*Search Engine Technology for Microarray Expression Data.*
UNSPECIFIED.

Murdoch, A.I.
(2004)
*Fluid flow in porous media: continuum modelling based upon microscopic considerations.*
In:
Modelling coupled phenomena in saturated porous materials.
Institute of Fundamental Technological Research, Warsaw, Poland, pp. 487-540.

Morrison, A.J. and Parkes, E.J.
(2003)
*The N-soliton solution of the modified generalised Vakhnenko equation (a new nonlinear evolution equation).*
Chaos, Solitons and Fractals, 16 (1).
pp. 13-26.
ISSN 0960-0779

Murdoch, A.I.
(2003)
*Foundations of continuum modelling: a microscopic perspective with applications.*
Other.
IPPT, Polish Academy of Sciences.

Murdoch, A.I.
(2003)
*Objectivity in classical continuum physics: A rationale for discarding the 'principle of invariance under superposed rigid body motions' in favour of purely objective considerations.*
Continuum Mechanics and Thermodynamics, 15.
pp. 309-320.
ISSN 0935-1175

Murdoch, A.I.
(2003)
*On the microscopic interpretation of stress and couple stress.*
Journal of Elasticity, 71.
pp. 105-131.
ISSN 0374-3535

Murdoch, A.I. and Hassanizadeh, S.M.
(2002)
*Macroscale balance relations for bulk interfacial and common line systems in multiphase flows through porous media on the basis of molecular considerations.*
International Journal of Multiphase Flow, 28 (7).
pp. 1091-1123.
ISSN 0301-9322

McKay, G. and Mackenzie, K.R.
(2002)
*In-plane switching of a homeotropically aligned, thin smectic C* liquid crystal.*
Ferroelectrics, 277.
pp. 107-116.
ISSN 0015-0193

Murdoch, A.I. and Bedeaux, D.
(2001)
*Characterization of microstates for confined systems and associated scale-dependent continuum fields via Fourier coefficients.*
Journal of Physics A: Mathematical and Theoretical, 34 (33).
pp. 6495-6508.
ISSN 0305-4470

Morrison, A.J. and Parkes, E.J.
(2001)
*The N-soliton solution of a generalized Vakhnenko equation.*
Glasgow Mathematical Journal, 43 (A).
pp. 65-90.
ISSN 0017-0895

McDonald, E.J. and Higham, D.J.
(2001)
*Error analysis of QR algorithms for computing Lyapunov exponents.*
Electronic Transactions on Numerical Analysis, 12.
pp. 234-251.
ISSN 1068-9613

Murdoch, A.I.
(2000)
*On objectivity and material symmetry for simple elastic solids.*
Journal of Elasticity, 60 (3).
pp. 233-242.
ISSN 0374-3535

Mitchell, Jane M.O.
(1995)
*The genus of the Coxeter graph.*
Canadian Mathematical Bulletin, 38 (4).
pp. 462-464.
ISSN 0008-4395

## N

Neilson, Matthew Paterson and Mackenzie, John and Webb, Steven and Insall, Robert H.
(2010)
*Use of the parameterised finite element method to robustly and efficiently evolve the edge of a moving cell.*
Integrative Biology, 2 (11-12).
pp. 687-695.

## O

Osipov, Mikhail and Gorkounov, Maxim
(2014)
*Molecular theory of phase separation in nematic liquid crystals doped with spherical nanoparticles.*
ChemPhysChem, 15 (7).
pp. 1496-1501.
ISSN 1439-4235

Osipov, M.A. and Gorkunov, M.V.
(2010)
*Ferroelectricity in low-symmetry biaxial nematic liquid crystals.*
Journal of Physics: Condensed Matter, 22 (36).
ISSN 0953-8984

Osipov, M.A. and Gorkunov, M.V.
(2009)
*Microscopic origin of ferroelectricity in chiral smectic c* liquid crystals and ordering of 'ferroelectric fishes' proposed by de gennes.*
Liquid Crystals, 36 (10-11).
pp. 1281-1288.
ISSN 0267-8292

Orr, L. and Mulholland, A.J. and O'Leary, R.L. and Hayward, G.
(2008)
*Analysis of ultrasonic transducers with fractal architecture.*
Fractals, 16 (4).
pp. 333-349.
ISSN 0218-348X

Osipov, M.A. and Gorkunov, M.V. and Gleeson, H.F. and Jaradat, S.
(2008)
*Molecular models for ferroelectric liquid crystals with conventional and anomalously weak layer contraction.*
European Physical Journal E - Soft Matter, 26 (4).
pp. 395-404.
ISSN 1292-8941

Osipov, M.A. and Gorkunov, M.V.
(2008)
*Ferroelectric ordering in chiral smectic- C* liquid crystals determined by nonchiral intermolecular interactions.*
Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 77 (3).
ISSN 1063-651X

Orr, L. and Mulholland, A.J. and O'Leary, R.L. and Hayward, G.
(2008)
*Harmonic analysis of lossy piezoelectric composite transducers using the plane wave expansion method.*
Ultrasonics, 48 (8).
pp. 652-663.
ISSN 0041-624X

Orr, L. and Mulholland, A.J. and O'Leary, R.L. and Hayward, G.
(2007)
*A theoretical investigation of 2-2 composite transducers with high shear attenuation in the passive phase.*
In: GDR 2501/CNRS ST21: Étude de la propagation ultrasonore en milieux non homogènes en vue du contrôle non-destructif, 2007-03-01.
(Unpublished)

Orr, L. and Mulholland, A.J. and O'Leary, R.L. and Parr, A.C.S. and Pethrick, R.A. and Hayward, G.
(2007)
*Theoretical modelling of frequency dependent elastic loss in composite piezoelectric Transducers.*
Ultrasonics, 47 (1).
pp. 130-137.
ISSN 0041-624X

## Q

Quintans Carou, J. and Wilson, S.K. and Mottram, N.J. and Duffy, B.R.
(2009)
*Asymptotic and numerical analysis of a simple model for blade coating.*
Journal of Engineering Mathematics, 63 (2-4).
pp. 155-176.
ISSN 0022-0833

Quintans Carou, Judit and Duffy, Brian and Mottram, Nigel and Wilson, Stephen
(2006)
*Shear-driven and pressure-driven flow of a nematic liquid crystal in a slowly varying channel.*
Physics of Fluids, 18 (2).
027105-1.
ISSN 1070-6631

Quintans Carou, J.
(2005)
*Coating of a substrate with a nematic liquid crystal.*
In: UNSPECIFIED.

Quintans Carou, J.
(2005)
*Steady flow of a nematic liquid crystal in a slowly varying channel.*
Molecular Crystals and Liquid Crystals, 438.
pp. 1801-1813.

## R

Robertson, A.C. and Taylor, I.J. and Wilson, S.K. and Duffy, B.R. and Sullivan, J.M.
(2010)
*Numerical simulation of rivulet evolution on a horizontal cable subject to an external aerodynamic field.*
Journal of Fluids and Structures, 26 (1).
pp. 50-73.
ISSN 0889-9746

Robertson, S. and Young, D. and McGarry, G.W. and MacKenzie, K.
(2009)
*Response to Shayah and Coatesworth.*
Clinical Otolaryngology, 34 (2).
pp. 165-166.
ISSN 1749-4478

Robertson, S. and Young, D. and McGarry, G.W. and MacKenzie, K.
(2008)
*The role of ENT surgeons in snoring assessment: some prospective preliminary evidence.*
Clinical Otolaryngology, 33 (5).
pp. 458-461.
ISSN 1749-4478

Robertson, A.C. and Taylor, I.J. and Wilson, S.K. and Duffy, B.R. and Sullivan, J.M.
(2008)
*A model for the numerical simulation of rivulet evolution on a circular cylinder in an air flow.*
In:
Flow-induced vibration.
The Academy of Sciences of the Czech Republic, Prague, pp. 693-698.
ISBN 9788087012123

Ross, A.B. and Duffy, B.R. and Wilson, S.K.
(2001)
*Thin-film flow of a viscoplastic material round a large horizontal stationary or rotating cylinder.*
Journal of Fluid Mechanics, 430.
pp. 309-333.
ISSN 0022-1120

## S

Sullivan, J. M. and Paterson, C. and Wilson, S. K. and Duffy, B. R.
(2012)
*A thin rivulet or ridge subject to a uniform transverse shear stress at its free surface due to an external airflow.*
Physics of Fluids, 24 (8).
ISSN 1070-6631

Stewart, I.W. and Wigham, E.J.
(2009)
*Dynamics of cylindrical domain walls in smectic C liquid crystals.*
Journal of Physics A: Mathematical and Theoretical, 42 (23).
ISSN 1751-8113

Sefiane, K. and Wilson, S.K. and David, S. and Dunn, G. and Duffy, B.R.
(2009)
*On the effect of the atmosphere on the evaporation of sessile droplets of water.*
Physics of Fluids, 21 (6).
ISSN 1070-6631

Sturman, B. and Podivilov, E. and Gorkunov, M.V.
(2008)
*Theory of extraordinary light transmission through arrays of subwavelength slits.*
Physical Review B, 77 (7).
ISSN 1098-0121

Sullivan, J.M. and Wilson, S.K. and Duffy, B.R.
(2008)
*A thin rivulet of perfectly wetting fluid subject to a longitudinal surface shear stress.*
Quarterly Journal of Mechanics and Applied Mathematics, 61 (1).
pp. 25-61.
ISSN 0033-5614

Sullivan, J.M. and Wilson, S.K. and Duffy, B.R.
(2008)
*Air-blown rivulet flow of a perfectly wetting fluid on an inclined substrate.*
In:
Mathematics in Industry.
Springer, pp. 774-778.
ISBN 978-3-540-71991-5

Smith, A.A.T. and Brown, C.V. and Mottram, N.J.
(2007)
*Theoretical analysis of the magnetic Freedericksz transition in the presence of flexoelectricity and ionic contamination.*
Physical Review E, 75.
041704-041712.
ISSN 1539-3755

Smith, A.A.T. and Stewart, I.W.
(2006)
*Asymptotic solutions for an electrically induced Freedericksz transition in a wedge of smectic C liquid crystal.*
Journal of Physics A: Mathematical and Theoretical, 39 (37).
pp. 11361-11382.
ISSN 0305-4470

Smith, Andrew A.T. and Stewart, Iain W.
(2004)
*Electric field effects in a wedge of smectic C liquid crystal.*
Molecular Crystals and Liquid Crystals, 413 (1).
pp. 251-260.
ISSN 1542-1406

Schiavone, P.
(2002)
*Integral methods in science and engineering.*
Birkhauser.
ISBN 0817642137

## T

Taylor, I.J. and Robertson, A.C. and Wilson, S. and Duffy, B.R. and Sullivan, J.M.
(2010)
*New developments in rain–wind-induced vibrations of cables.*
Proceedings of the ICE - Structures and Buildings, 163 (2).
pp. 73-86.
ISSN 0965-0911

Trabi, C.L. and Smith, A.A.T. and Brown, C.V.
(2009)
*Interferometric method for the measurement of the flexoelectric polarisation using nematic liquid crystal phase gratings.*
Molecular Crystals and Liquid Crystals, 509.
pp. 1120-1134.
ISSN 1542-1406

Trabi, C.L. and Brown, C.V. and Smith, A.A.T. and Mottram, N.J.
(2008)
*Interferometric method for determining the sum of the flexoelectric coefficients (e1+e3) in an ionic nematic material.*
Applied Physics Letters, 92 (22).
ISSN 0003-6951

Trabi, C.L. and Smith, A.A.T. and Mottram, N.J. and Brown, C.V.
(2008)
*Flexoelectric polarisation effects in nematic liquid crystal phase gratings.*
In: Conference on Liquid Crystals XII, 2008-08-11 - 2008-08-12.

Tweddle, I.
(2007)
*MacLaurin's physical dissertations.*
Sources and Studies in the History of Mathematics and Physical Sciences
.
Springer-Verlag.
ISBN 1846285933

Tenchev, R.T. and MacKenzie, J.A. and Scanlon, T.J. and Stickland, M.T.
(2004)
*Finite element moving mesh analysis of phase change problems with natural convection.*
International Journal of Heat and Fluid Flow, 26 (4).
pp. 597-612.
ISSN 0142-727X

Tweddle, I.
(2004)
*Stirling, James (1692-1770), mathematician and mine manager.*
In:
Oxford Dictionary of National Biography.
Oxford University Press, Oxford, UK.

Tweddle, I. and Carlyle, E.I.
(2004)
*Simson, Robert (1687-1768), mathematician.*
In:
Oxford Dictionary of National Biography.
Oxford University Press, Oxford, UK.

Tweddle, I.
(2003)
*James Stirling's methodus differentialis.*
Springer.
ISBN 1-85233-723-0

Tweddle, I.
(2003)
*Bornological countable enlargements.*
Proceedings of the Edinburgh Mathematical Society, 46 (1).
pp. 35-44.
ISSN 0013-0915

Tweddle, I.
(2003)
*Great Scottish mathematicians of the XVIII century (Russian).*
In: unknown, 1900-01-01.

Tweddle, I. and Smirnov, E.
(2002)
*Hausdorff Spectra in functional analysis.*
Springer monographs in mathematics
.
Springer-Verlag.
ISBN 1-85233-571-8

Tweddle, I.
(2001)
*Obituary: Robert Alexander Rankin, 1915-2001.*
British Society for the History of Mathematics Bulletin, 43.
pp. 26-31.
ISSN 1749-8430

## W

Weidmann, T. and Lenzen, M. and Barratt, P.J. and Turner, K.
(2007)
*Examining the global impact of regional consumption activities - part 2: review of input-output models for the assessment of environmental impacts embodied in trade.*
Engineering Geology, 61 (1).
pp. 15-26.
ISSN 0013-7952

Wen, D.S. and Das, K.S. and Wilson, S.K. and Kenning, D.B.R.
(2006)
*Initiation and growth of confined vapour bubbles in micro-channels.*
In: 44rd European Two-Phase Flow Group Meeting 2006, 2006-06-07 - 2006-06-09.

Wigham, E.J.
(2005)
*Analysis of ring patterns in SmC* liquid crystals.*
Molecular Crystals and Liquid Crystals, 436.
pp. 955-969.

Woods, P.D. and Stewart, I.W. and Mottram, N.J.
(2004)
*Flow effect in director relaxation of bookshelf aligned smectic C liquid crystals.*
Molecular Crystals and Liquid Crystals, 413 (1).
pp. 271-278.

Wilson, S.K. and Das, K.S.
(2003)
*A theoretical investigation of the unsteady expansion and contraction of a long vapour bubble confined between superheated or subcooled parallel plates.*
In: 8th UK National Heat Transfer Conference, 2003-09-09 - 2003-09-10.

Wilson, S.K. and Duffy, B.R. and Hunt, R.
(2002)
*A slender rivulet of a power-law fluid driven by either gravity or a constant shear stress at the free surface.*
Quarterly Journal of Mechanics and Applied Mathematics, 55 (3).
pp. 385-408.
ISSN 0033-5614

Wilson, S.K. and Hunt, R. and Duffy, B.R.
(2002)
*On the critical solutions in coating and rimming flow on a uniformly rotating horizontal cylinder.*
Quarterly Journal of Mechanics and Applied Mathematics, 55 (3).
pp. 357-383.
ISSN 0033-5614

Woods, P.D. and Mottram, N.J. and Stewart, I.W.
(2002)
*Flow induced by director relaxation in smectic C* materials.*
Ferroelectrics, 277.
pp. 251-258.
ISSN 0015-0193

## Z

Zubik-Kowal, B.
(2004)
*Fourier stability analysis of a numerical method for time domain electromagnetic scattering from a thin wire.*
Numerical Algorithms, 35 (1).
pp. 121-130.

Zubik-Kowal, B. and Davies, P.J.
(2002)
*Numerical approximation of time domain electromagnetic scattering from a thin wire.*
Numerical Algorithms, 30 (1).
pp. 25-36.
ISSN 1017-1398