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DTC MATH 14 - Algebraic spline geometry methods in approximation theory

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  • Full or part time
    Dr N Villamizar
  • Application Deadline
    Applications accepted all year round
  • Self-Funded PhD Students Only
    Self-Funded PhD Students Only

Project Description

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), and the parametrization of shapes in geometric modeling and computer-aided geometric design. 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.

Entry requirements

Candidates must have a minimum of an upper second class honours degree or equivalent in a relevant subject, or an appropriate Master’s degree (with Merit). Informal enquiries are welcome by emailing the project supervisor.

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.

How to apply

Visit our webpage for details - http://www.swansea.ac.uk/science/research/dtc/biosciences-projects-2018-19/

Please include the project ID and title in your email subject header (eg. DTC MATH xxxxxx)

Funding Notes

Student Finance England have announced plans to offer student loans for PhD level courses from September 2018 for courses at any PhD awarding university (including Swansea University). Full details are still to be confirmed. Visit our website for updated information. – http://www.swansea.ac.uk/postgraduate/fees-and-funding/pg-loans/

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