Swansea University 2023 Fully Funded EPSRC PHD Scholarship in Mathematics: Analysis and Numeric of Stochastic Partial Differential Equations, UK

Since the early seminal work of mathematical physicist Giorgio Parisi (Nobel Prize laureate in Physics in 2021) and the revolutionary work of the 2014 Fields Medalist Sir Martin Hairer, Stochastic Partial Differential Equations (SPDEs) becomes a very active research field with many cutting-edge and challenge research topics, and with diverse applications to real world problems. This project will investigate qualitative and quantitative properties of stochastic partial differential equations driven by Brownian motion and/or fractional Brownian motion, alpha-stable processes, point processes (Poisson and beyond), focusing on stochastic heat equations, stochastic conservation laws, and stochastic Burgers/KPZ equations. The approach consists of probabilistic, analytic and computational methods. The project is suitable to a student who has a solid foundation in probability theory, functional analysis and/or numerical analysis, with a moderate knowledge of partial differential equations. The student working on this project would first be trained in techniques spanning a diverse range of disciplines: stochastic processes and random fields, stochastic calculus, computational and statistical methods with simulations, and selected topics on partial differential equations. They would then develop the well posedness of the concerned stochastic equations and corresponding numerical schemes (if interested). They would also try to develop new equations, linking to advanced modelling in applied subject areas or industrial mathematics.

• Table of Content
• About Swansea University
• Swansea University EPSRC PHD Scholarship: Analysis and Numerics of Stochastic Partial Differential Equations
• Aim and Benefits of Swansea University EPSRC PHD Scholarship: Analysis and Numerics of Stochastic Partial Differential Equations
• Swansea University EPSRC PHD Scholarship: Analysis and Numerics of Stochastic Partial Differential Equations Courses
• Requirements for Swansea University EPSRC PHD Scholarship: Analysis and Numerics of Stochastic Partial Differential Equations Qualification
• Interview date, Process and Venue for Swansea University EPSRC PHD Scholarship: Analysis and Numerics of Stochastic Partial Differential Equations
• Documents Required for Application
• Application Deadline
• How to Apply

About Swansea University

Swansea University has been at the cutting edge of research and innovation since 1920. We have a long history of working with business and industry but today our world-class research has a much wider impact across the health, wealth, culture, and well-being of our society. We have achieved an extraordinary level of success in recent years and our research activity exceeds that of many larger universities yet this has not compromised the friendly and relaxed atmosphere that has always characterised the �Swansea experience�. In our Centenary year, we look forward to continuing to work ... continue reading

Swansea University EPSRC PHD Scholarship: Analysis and Numerics of Stochastic Partial Differential Equations

Aim and Benefits of Swansea University EPSRC PHD Scholarship: Analysis and Numerics of Stochastic Partial Differential Equations

This scholarship covers the full cost of UK tuition fees and an annual stipend of £17,668.

Additional research expenses will also be available. 

Swansea University EPSRC PHD Scholarship: Analysis and Numerics of Stochastic Partial Differential Equations Courses

•  PhD in Mathematics

Requirements for Swansea University EPSRC PHD Scholarship: Analysis and Numerics of Stochastic Partial Differential Equations Qualification

Candidates must normally hold an undergraduate degree at 2.1 level or master’s degree with a minimum overall grade at ‘Merit’ (or Non-UK equivalent as defined by Swansea University). See ‘country specific information for European and international applicants (available at the bottom of the page)'. 

English Language requirements: IELTS 6.0 Overall (with no individual component below 5.5) or Swansea recognised equivalent. Details on the Swansea University English Language entry policy can be found here.

Due to funding restrictions, this scholarship is open to applicants eligible to pay tuition fees at the UK rate only, as defined by?UKCISA regulations. 

NB: If you are holding a non-UK degree, please see Swansea University degree comparisons to find out if you meet the eligibility. 

If you have any questions regarding your academic or fee eligibility based on the above, please email [email protected] with the web-link to the scholarship(s) you are interested in. 

Interview date, Process and Venue for Swansea University EPSRC PHD Scholarship: Analysis and Numerics of Stochastic Partial Differential Equations

Project start date: 

• 1 April 2023 (Enrolment open from mid–March) 

• 1 July 2023 (Enrolment open from mid-June) 

Supervisors:

• Professor Jiang-Lun Wu ([email protected])

• Dr Dmitri Finkelshtein

Aligned programme of study: PhD in Mathematics

Mode of study: Full-time 

Informal enquiries are welcome, please contact Professor Jiang-Lun Wu ([email protected])

*External Partner Application Data Sharing – Please note that as part of the scholarship application selection process, application data sharing may occur with external partners outside of the University, when joint/co- funding of a scholarship project is applicable.

Documents Required for Application

• Equality, Diversity and Inclusion (EDI) Monitoring Form (online form) 

As part of your online application, you MUST upload the following documents (please do not send these via email):

• CV
• Degree certificates and transcripts (if you are currently studying for a degree, screenshots of your grades to date are sufficient)
• A cover letter including a ‘Supplementary Personal Statement’ to explain why the position particularly matches your skills and experience and how you choose to develop the project.
• Two references (academic or previous employer) on headed paper or using the Swansea University reference form. Please note that we are not able to accept references received citing private email accounts, e.g. Hotmail. Referees should cite their employment email address for verification of reference.
• Evidence of meeting English Language requirement (if applicable).
• Copy of UK resident visa (if applicable)

Informal enquiries are welcome, please contact Professor Jiang-Lun Wu ([email protected])

*External Partner Application Data Sharing – Please note that as part of the scholarship application selection process, application data sharing may occur with external partners outside of the University, when joint/co- funding of a scholarship project is applicable.

Application Deadline

How to Apply

To apply, please complete your application online with the following information:

1. Course choice – please select Mathematics / PhD / Full-time / 3 Year / April

   In the event you have already applied for the above programme previously, the application system may issue a warning notice and prevent application, in this event, please email [email protected] where staff will be happy to assist you in submitting your application.

2. Start year – please select 2023
3. Funding (page 8) –

• ‘Are you funding your studies yourself?’ – please select No
• ‘Name of Individual or organisation providing funds for study’ – please enter ‘RS188 - PhD Maths’

*It is the responsibility of the applicant to list the above information accurately when applying, please note that applications received without the above information listed will not be considered for the scholarship award.

One application is required per individual Swansea University led research scholarship award; applications cannot be considered listing multiple Swansea University led research scholarship awards.

For more details visit: Swansea University website