About the Project
Start date: October 2020 or January 2021
Project Supervisor: Dr Nelly Villamizar
The aim of the project is to explore algebraic geometry tools for the study of approximation methods based on piecewise polynomial functions, also known as splines. Splines are a powerful tool widely used in different challenges arising in computational mathematics, such as the numerical approximation of partial differential equations (the finite element method), the parametrization of shapes in geometric modelling and computer-aided geometric design, and data science. This project will focus on algebraic aspects of splines, its ring structure, and its consequences in concrete computational problems such as the construction of suitable spline spaces for approximation. This project can be oriented towards the applicant’s interest on theoretical or computational aspects of the topic.
Candidates must have a first, upper second-class honours or a Master’s degree with Merit, in a relevant discipline.
For candidates whose first language is not English, we require IELTS 6.0 (with 5.5 in each component) or equivalent. Please visit our website for a list of acceptable English language tests. We prefer candidates to have already met the English Language requirements at the point of application, although this is not a requirement.
Studentships funded by EPSRC are subject to UK/EU residency eligibility. Normally, this means to be eligible for a full award (fees plus stipend) you must:
- Have been ordinarily resident in the UK, meaning there are no restrictions on how long you can stay, and;
- Have been ’ordinarily resident’ in the UK for at least three years prior to the start of the Studentship grant, and;
- Have not been residing in the UK wholly or mainly for the purpose of full-time education. (This does not apply to UK nationals and EU nationals who were ordinarily resident in the EU immediately before the period of full-time education).
For this particular EPSRC opportunity, we are also able to consider your application if you are an EU national who does not meet the residential eligibility criteria outlined above; this is possible through EPSRC’s flexibility regarding `open eligibility’.
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