Developing continuum mechanical theories
of real-life problems
Modelling the flow of granular materials
Moving boundaries
Operations research
Dr Maureen Edwards
Lie symmetry analysis and the application
of Lie groups to nonlinear
differential equations. In particular, diffusion-convection
equations.
Dr Joanna Goard
Financial mathematics
Lie group analysis of differential equations and its generalizations:
Constructing new solutions to classes
of nonlinear partial
differential equations;
Comparing the range of applicability
of various classical and
nonclassical symmetry methods;
Placing various ad-hoc methods on
the firmer foundations of
classical Lie symmetry theory.
Professor James M Hill
Applied mathematics and nonlinear continuum
mechanics including large elastic deformations of rubberlike
materials
Heat transfer
Diffusion
Applied probability
Moving boundaries
Granular materials
Nonlinear partial differential equations.
Associate Professor Philip Laird
Rail development - primarily freight,
with emphasis on rail track
interaction with trains.
Road pricing, with emphasis on cost recovery from heavy
vehicles.
Energy use in freight transport.
Rail research has included studies of the adverse effect
on transit times and energy efficiency of both terrain and track alignment.
Dr Xiao-Ping Lu
Elasticity and fracture mechanics:
analysis of interacting cracks in elastic media and interface
cracks between dissimilar media.
Numerical methods: boundary element methods (BEM) in elasticity
and fracture, and diffusion equations.
Associate Professor Timothy R. Marchant
Nonlinear waves. The KdV equation
and its higher-order approximations. High-order solitary
wave interaction. Development of numerical schemes, using
finite-difference methods to model solitary wave interactions.
Microwave heating. Development of
approximate analytical solutions. Control of thermal runaway.
New efficient numerical schemes.
Combustion theory. Accurate approximate
analytical solutions for coupled reaction-diffusion equations.
Modelling chemical reactions and combustion
theory.
Dr Mark Nelson
Bioreactor Engineering
Chemical Reactor Engineering
Combustion Theory
Applied Non-Linear Dynamical Systems
Dr Keith Tognetti
Applied number theory (integer part
sequences)
Equitable sequences and the stick breaking problem
Periodic points and symmetries of iterates of the gauss
map
Pattern theory (moire patterns)
Artificial life (2 base dna)
A re-examining of the nature of scholarly publications as
a result of the many new options opened up now that electronic
publication has become economically feasible
Dr Annette Worthy
The development of mathematical techniques
which enable the
propagation of signals in optical fibres to be described with
a high
degree of accuracy.
The development and implementation of computer aided learning
(CAL)
modules and mathematical engineering projects for engineering
students enrolled in mathematics.
Associate Professor Song-Ping Zhu
Financial Modelling and Computational
Finance: Particularly interested in the pricing of various
financial derivatives such as options and convertible bonds.
Developing new analytical and numerical solutions.
Computational Mathematics and Numerical
Methods: Developing boundary element techniques including
the dual reciprocity boundary element method to numerically
solve PDEs;
Computational Wave Modeling and Nonlinear
Wave Theory: Studying nonlinear waves generated by floating
and submerged objects and their interactions; using finite
element and boundary element methods to model ocean and
coastal water waves;
Applied Mathematical Modeling and
Industrial Mathematics: Developing models to study the spread
and confinement of oil spills, modeling the pollutant transportation
in estuaries and coastal seas and studying environment-related
fluid flow problems.
