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  PhD studentship on Numerical methods for higher-order nonlinear partial differential equations


   School of Mathematical & Physical Sciences

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  Dr B During  No more applications being accepted

About the Project

We are pleased to offer this fully-funded PhD studentship, available in the Department of Mathematics at the University of Sussex, supported by the Leverhulme Trust research project grant "Novel discretisations of higher-order nonlinear PDE" (RPG-2015-069).

The project aims to derive, implement and analyse numerical schemes for higher-order nonlinear partial differential equations (PDE).

Higher-order nonlinear PDE have emerged as a hot topic in mathematical research and practical applications alike in recent years, driven by modern applications and by the curiosity for a better understanding of their mathematical properties. The geometric interpretation of a large class of these equations as gradient flows has opened a radically new viewpoint on these problems, and allowed for a major breakthrough in their analysis, with exciting and unexpected results. In this project we seek to use this geometric, gradient flow approach as a novel framework for the development of numerical schemes which preserve the equations’ special structure at the discrete level.

The project will be supervised by Dr Bertram Düring.

Type of award
Postgraduate Research

Award amount
£14254 (2016-17) per annum tax-free bursary and waiver of UK/EU fees each year for 3 years. Full-time study

Eligibility
Applicants must hold, or expect to hold, a UK Bachelor degree in Mathematics at first or upper second class, and/or a UK Master’s degree in Mathematics, or equivalent non-UK qualifications. A good standard of written and spoken English is essential.

Due to funding restrictions, the studentship is open to UK and EU resident students only.

Application procedure
Apply through the Sussex on-line system

http://www.sussex.ac.uk/study/pg/applying

State in the Funding Information section of the application form that you would like to apply for this studentship, giving the title of the project as above.

Applications should include a CV, as well as transcripts of marks obtained on your degree(s) and the names and contact details of two academic referees. Please also include an overview of why you are suitable for this position and your reasons for applying.

Timetable
Early application is advised. The studentship will be allocated as soon as a suitable candidate is found. The very latest we can accept an application is 01 September 2016, but the position is likely to be filled before this date.

Start date at Sussex: 11th May 2016, or 19 September 2016.

First payment of the award bursary: 01 June 2016 or 01 October 2016.

Further information
This is a full-time studentship. With agreement of the supervisor the student may take on a limited amount of teaching, for which additional payment will be made.

The award includes an additional training grant of £1650 p.a. for short courses, books, travel, conferences etc.

The Department of Mathematics research webpages can be found here:

http://www.sussex.ac.uk/maths/research

Contact details
Informal enquiries should be sent to Dr Bertram During [Email Address Removed]

Enquiries about your eligibility, the progress of your application and admission to Sussex, should be sent to Rebecca Foster [Email Address Removed]

 About the Project