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Found 14 matching student topics

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Predicting alternative states induced by multiple interacting feedbacks: seagrass ecosystems as a case study

This project seeks to explore the complex dynamics that might arise from multiple interacting feedbacks in marine ecosystems, by designing ordinary and/or partial differential equation models of these feedbacks and analysing the steady states and/or temporal dynamics of the proposed model(s).It has been hypothesised that many social and ecological systems exhibit alternative stable states due to feedback processes that keep the ecosystem in one state or the other. The result can be tipping points, which are difficult to predict but …

Study level
PhD, Master of Philosophy, Honours, Vacation research experience scheme
Faculty
Faculty of Science
School
School of Mathematical Sciences
Research centre(s)
Centre for Data Science
Centre for the Environment

New mathematical and computational techniques for modelling with partial differential equations

Mathematical models involving partial differential equations (PDEs) are useful for simulating many important physical processes including heat and mass transfer, groundwater flow, pollutant transport and drug delivery. This project will focus on developing new mathematical and computational techniques to solve, approximate and/or analyse PDE models.Potential project topics include:developing new numerical and/or analytical methods for solving PDE modelsbuilding new reduced-order PDE models that are easier to solve, interpret or analyseextracting insight into time scales of PDE models, such as the amount …

Study level
PhD, Master of Philosophy, Honours, Vacation research experience scheme
Faculty
Faculty of Science
School
School of Mathematical Sciences

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