Mathematical and computer models are used to investigate physical, engineering, biological and social processes, as well as to predict them and optimise their development. Results of simulations and predictions by such models are always questionable because of many uncertainties related to the models themselves, numerical errors of simulations, input data and the interpretation of the obtained results. There are no perfect mathematical models and ideal computational algorithms. Computers operate with approximate values. Parameters of a mathematical model are known only with a certain accuracy. More complicated and elaborated models, which could be theoretically better than simple models, may provide less reliable and robust results in practical problems because of their higher-level uncertainties. If so, how should we understand modelling? Do we need to solve a mathematical problem with high accuracy if the problem comes from a very approximate model? These questions are complicated and difficult to answer.
The main aim of the PhD project is more modest but still extremely challenging. We assume that our mathematical model is good and well validated by experiments in well-defined conditions. However, in practical problems, the parameters of the model and input conditions are not well defined. If the model parameters are from certain ranges but we do not know their exact values, what can we say about the predictions by the model? Are they reasonable and useful? The idea is to study simple but nonlinear models of fluid-structure interaction, such as a model of floating elastic plate with solar panels on it, for example, and assess the risks of the plate damage in waves with account for uncertainties of the floating structure and waves. The project will employ a result-oriented approach, instead of a traditional deterministic one, see references (i)-(v).
International candidates (EU and non-EU) will start on 1 February 2022.
Successful candidates who meet UKRI’s eligibility criteria will be awarded an EPSRC-funded studentship in Mathematical Sciences covering fees, stipend (£15,609 pa, 2021-22) and research funding for 4 years. The eligibility requirements are detailed in UKRI Training Grant Guidance: https://www.ukri.org/wp-content/uploads/2020/10/UKRI-291020-guidance-to-training-grant-terms-and-conditions.pdf. For the first time in 2021/22, International applicants (EU and non-EU) will be eligible for fully-funded UKRI studentships. Please note EPSRC funding does not cover visa costs (including immigration health surcharge) or other additional costs associated with relocation to the UK.
Applicants to this project will also be considered for a 3 year UEA-funded studentship covering stipend (£15,609 pa, 2021-22) and tuition fees at the Home rate. International applicants (EU/non-EU) will be considered for this but would be required to fund the difference between Home and International tuition fees (which are detailed on the University’s fees pages https://www.uea.ac.uk/about/university-information/finance-and-procurement/finance-information-for-students/tuition-fees).
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