Postgraduate doctoral research degree in Applied Mathematics PhD: Training is provided through individual supervision of research, by advanced seminar courses and conferences, and by generic courses. The PhD degree usually involves a qualifying dissertation submitted during the second year of study, which is helpful training for writing the PhD thesis. The Applied Mathematics Research Group works on a wide variety of topics in a range of areas such as applied analysis, fluid mechanics, mathematical biology, financial mathematics and computational mathematics. The research in applied analysis studies reaction-diffusion equations, nonlinear waves and perturbation theory. Inverse problems are also an active area of investigation. The area of fluid mechanics is a traditional research field in the School. Active research is pursued in the areas of bubble dynamics and biological and physiological fluid mechanics, dynamic wetting, flows with transitions in the topology of the flow domain, dynamics of liquid jets and drops, flows with phase transitions, fuel cells and many more. A School supercomputer is available for research. Research students' work often arises from industrially motivated problems or develops new directions in existing research projects. Research in Computational Mathematics includes numerical solution of partial differential equations, design and analysis of algorithms for large-scale problems, numerical linear algebra and matrix analysis. The area of financial mathematics represents a new and exciting field of research. Topics of research including both modelling and computational finance and may be pursued in the School or in collaboration with the School of Economics.