Analytical modelling and computational methods for emerging technologies

Mathematics provides tools that are effective in solving problems that arise in various science and technology fields. Mathematical modelling can be viewed as a cycle that begins with a real world problem, which is expressed in abstract terms, using equations to account for the various features of interest. The result is a mathematical model, whose complexity depends on the number of features of the real life situation it aims to retain. This model is studied using appropriate mathematical techniques, to produce new information about the real world problem it stemmed from. It is validated by experiment, comparing predicted results with observations.