Research in applied mathematics focuses on fluid dynamics, fracture mechanics, differential games, optimisation and stability, operations research and cryptography. Research in fluids dynamics covers fluid motions with wide-ranging applications in fundamental and engineering sciences. The current interest in this field focuses on stability of fluid flow and surface tension gradient phenomena, whereas research activities in fracture mechanics focuses on2-D and 3-D crack problems.  The numerical solutions on singular and hypersingular integral equations that appear in the crack problems are also discussed. In the field of operation research, the main research interest includes solving Combinatorial Optimisation Problems (COPs) like machine scheduling problems, cutting and packing problems, resource allocation problems, traveling salesman problems and vehicle routing problems using genetic algorithms. Differential games research studies the problems of pursuit-evasion involving many players. On the other hand, research in stability includes the determination of the domains of attraction of non autonomous systems and the stability of periodic systems and time varying systems using the methods of Lyapunov and Zubov, whereas for optimisation research, the focus is on large scale unconstrained optimisation which includes gradient methods, quasi-newton updates, positive definite scaled symmetric rank one method and limited memory BFGS updates. Lastly, among the areas of study in cryptography are primality testing, factoring large integers, lattice-based cryptography, filtering methods, elliptic curve cryptography and discrete log problems.

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• Doctor of Philosophy (Applied Mathematics)
• Doctor of Philosophy
• Applied Mathematics