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Research
Current research topics include:
Asymptotic and Perturbation Analysis
Classical Analysis
- Axiomatic set theory
- Integro-differential equations
- Matrix inverse eigenvalue problems
- Singular parabolic partial differential equations
Computational Biology
- Biological control of insects
- Stochastic modelling of predator-prey systems
- Ultrasonically induced lung damage
Dynamical Systems
Engineering Mathematics
Geophysical Fluid Dynamics
- Multiscale theory and simulation
- Nonlinear tidal flow models
- Nonlinear waves
- Wave-mean flow interactions and associated instabilities
High Temperature Physics
Mathematics Education
- Educational role of technology including graphical calculators
- Effective use of computer algebra systems
- Student assessment and training using technology
Mathematical Relativity
Nonlinear Instability Theory
Numerical Analysis and Scientific Computing
Theoretical and computational fluid dynamics
- Moving boundary flow problems
- Simulation of free surface flows
- Vortex dynamics
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