Andrew’s research interests are in mathematically modelling environmental phenomena such as avalanches of rocks and snow, volcanic ash clouds, landslides, debris and mud flows. Modelling these flows requires the development of physically-relevant mathematical models and the computation of their solutions using analytical and numerical techniques. Much of Andrew’s research is interdisciplinary, collaborating with colleagues from Bristol and beyond.
Katerina’s research covers deterministic and stochastic modelling; fluid mechanics; mathematical biology; asymptotic methods; aquifer and water resource management modelling
Kirstin’s research focus lies on multivariate, spatial and temporal dependence phenomena in extreme value theory providing theoretically sound procedures for the quantitative assessment or rare and typically hazardous events (as good as possible, knowing the limitations is also an important issue).
Owen’s research areas include stochastic modelling and simulation; hillslope surface runoff; quantifying the impacts of climate change; sustainable water usage and operational modelling.
Thomas’s research areas include mathematical biology, ecology, morphogenesis, reaction-diffusion theory, cellular motion, stochastic dynamics, neurobiology and oncology.
Robert’s interests are in the design and analysis of efficient and robust parallel numerical methods for engineering and physical problems with heterogeneous material properties that vary over multiple scales. This is typical in energy and environmental applications, but also in material science and manufacturing. He is particularly interested in multilevel and multiscale methods for partial differential equations with strongly varying and high contrast coefficients, in particular domain decomposition and multigrid methods, preconditioners for systems of PDEs, iterative eigensolvers, and multiscale discretisation techniques with applications in oil reservoir simulation, radioactive waste disposal, numerical weather and climate prediction, novel optical materials or composite materials. More recently his particular focus has been on the interface between computational mathematics and statistics/probability.
Jonathan’s research focuses on applied dynamical systems, bifurcation theory and dynamics with symmetry, pattern formation, mathematical biology and fluid mechanics.
Paul’s research focuses on internal waves in the atmosphere and ocean, surface water waves and the modelling of physical and biological processes.