School of Mathematics, Statistics and Applied Mathematics
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The School was formed from the Departments of Mathematics (which included Statistics) and Mathematical Physics on September 1st 2008 as part of the process of Academic Restructuring in the University.
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Recent Submissions

Initial stress symmetry and its applications in elasticity
(The Royal Society, 20151028)An initial stress within a solid can arise to support external loads or from processes such as thermal expansion in inert matter or growth and remodelling in living materials. For this reason, it is useful to develop a ... 
Experimental characterisation of neural tissue at collision speeds
(International Research Council on Biomechanics of Injury (IRCOBI), 2012)Mechanical characterisation of brain tissue at high loading velocities is particularly important for modelling Traumatic Brain Injury (TBI). During severe impact conditions, brain tissue experiences a mixture of compression, ... 
Strain rate effects on the failure characteristics of excised human skin
(The 9th International Conference on the Mechanics of Time Dependent Materials, 2014)Skin is a complex, multilayered material which exhibits nonlinear, anisotropic and viscoelastic behaviour. Its structure is complex and can be broadly divided into three main layers: the epidermis, the dermis and ... 
Some design considerations for polymerfree drugeluting stents: a mathematical approach
(Elsevier (Science Direct), 2015)In this paper we provide the first model of drug elution from polymerfree arterial drugeluting stents. The generalised model is capable of predicting the drug release from a number of polymerfree systems including those ... 
Robust solution of singularly perturbed problems using multigrid methods: analysis and results in one and two dimensions
(2012)We consider the problem of solving linear systems of equations that arise in the numerical solution of singularly perturbed ordinary and partial differential equations of reactiondiffusion type. Standard discretization ... 
Generalized Moonshine and orbifold constructions.
(Research Institute for Mathematical Sciences (Kokyuroku), 2002)A brief review is given of some of our recent work on Generalised Monstrous Moonshine using abelian orbifoldings of the Moonshine Module. 
Partition functions and chiral algebras.
(American Mathematical Society, 200705)We discuss recent work of the authors concerning correlation functions and partition functions for free bosons/fermions and the bc or ghost system. We compare and contrast the nature of the 1point functions at genus 1, ... 
The bosonic vertex operator algebra on a genus g Riemann surface
(201108)We discuss the partition function for the Heisenberg vertex operator algebra on a genus g Riemann surface formed by sewing handles to a Riemann sphere. In particular, it is shown how the partition can be computed by means ... 
A mathematical model for the release of peptidebinding drugs from affinity hydrogels
(Palgrave, 20150109)A mathematical model for the release of peptidebinding drugs from affinity hydrogels is analyzed in detail. The model is not specific to any particular peptide/drug/gel system, and can describe drug release from a large ... 
Hyperelastic and viscoelastic properties of brain tissue in tension
(ASME, 2012)Mechanical characterization of brain tissue at high loading velocities is particularly important for modelling Traumatic Brain Injury (TBI). During severe impact conditions, brain tissue experiences a mixture of compression, ... 
Torsion instability of soft solid cylinders
(Oxford Open Journals, 20131210)The application of pure torsion to a long and thin cylindrical rod is known to provoke a twisting instability, evolving from an initial kink to a knot. In the torsional parallelplate rheometry of stubby cylinders, the ... 
Mechanical characterization of brain tissue in tension at dynamic strain rates
(Elsevier, 20120910)Mechanical characterization of brain tissue at high loading velocities is crucial for modeling Traumatic Brain Injury (TBI). During severe impact conditions, brain tissue experiences compression, tension and shear. Limited ... 
Seminonnegative matrix factorization with global statistical consistency for collaborative filtering
(2009)[no abstract available] 
Incremental magnetoelastic deformations, with application to surface instability
(Springer, 200801)In this paper the equations governing the deformations of infinitesimal (incremental) disturbances superimposed on finite static deformation fields involving magnetic and elastic interactions are presented. The coupling ... 
On stressdependent elastic moduli and wave speeds
(Oxford Journals, 20120330)On the basis of the general nonlinear theory of a hyperelastic material with initial stress, initially without consideration of the origin of the initial stress, we determine explicit expressions for the stressdependent ... 
Some results on finite amplitude elastic waves propagating in rotating media
(Springer, 200412)Two questions related to elastic motions are raised and addressed. First: in which theoretical framework can the equations of motion be written for an elastic halfspace put into uniform rotation? It is seen that nonlinear ... 
The explicit secular equation for surface acoustic waves in monoclinic elastic crystals
(Acoustical Society of America, 20010125)The secular equation for surface acoustic waves propagating on a monoclinic elastic halfspace is derived in a direct manner, using the method of first integrals. Although the motion is at first assumed to correspond to ... 
Surface waves in orthotropic incompressible materials
(Acoustical Society of America, 20010417)The secular equation for surface acoustic waves propagating on an orthotropic incompressible halfspace is derived in a direct manner, using the method of first integrals. 
Circularlypolarized plane waves in a deformed Hadamard material
(Elsevier, 20011031)Smallamplitude inhomogeneous plane waves propagating in any direction in a homogeneously deformed Hadamard material are considered. Conditions for circular polarization are established. The analysis relies on the use of ...