Dr Cotter’s research in numerical analysis and scientific computing focusses on the design, analysis and implementation of numerical methods for weather forecasting, ocean modelling and climate simulation. Recently, he has been developing compatible finite element methods for these applications. He is motivated by the geometric variational structure of fluid equations, which are also relevant for algorithms for exploring the geometric structure of shapes and images. He also develops numerical algorithms for probabilistic forecasting and data assimilation.
Dr Cotter is also the Undergraduate Admissions Tutor for the Department of Mathematics, the co-Director of Studies for the Mathematics of Planet Earth Centre for Doctoral Training, and a co-Investigator for the Platform for Research in Simulation Methods.