PhD student in Scientific Computing focusing on positivity preserving and low-rank tensor approximation of fusion processes - Hiring in process/Finished, not possible to apply

The Department of Information Technology has a leading position in research and education. The Department currently has about 300 employees, including 120 teachers and 110 PhD students. More than 4000 students study one or more courses at the department each year. You can find more information about us at the web page of the department of Information Technology

The position is hosted by the Division of Scientific Computing within the Department of Information Technology. As one of the world’s largest focused research environments in Scientific Computing the research and education has a unique breadth, with large activities in classical scientific computing areas such as mathematical modeling, development and analysis of algorithms, scientific software development and high-performance computing. The division is currently in an expansive phase in new emerging areas such as cloud and fog computing, data science, and artificial intelligence, where it plays key roles in several new strategic initiatives at the University.

Our PhD programs in scientific computing has resulted in over 80 completed PhD theses over the years. Several PhD alumni in Scientific Computing from Uppsala University are successful practitioners in the field, in industry as well as in academia.

Project description
The goal of this project is to develop a structure-preserving low-rank tensor discretization for high-dimensional partial differential equations modeling fusion processes. The mathematical model that we mainly consider in this project is the Vlasov-Maxwell system. The specific goal of the project is the construction, analysis, and implementation of numerical approximations of the Vlasov-Maxwell system that preserve the basic physical properties such as the positivity of the plasma distribution function. The project will be carried out in cooperation with the Ruhr University Bochum, Germany, and the candidate is expected to visit Bochum several times during the course of the project.

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Duties
The duties of a PhD student are primarily directed at their own research education, which lasts four years. The work may also involve, to a limited extent (maximum 20%) other departmental duties, such as teaching undergraduate courses and administrative tasks – in which case the position may be extended to a maximum of five years. 

Requirements
To meet the entry requirements for doctoral studies, you must

• hold a Master’s (second-cycle) degree in a field that is relevant to the topic of the PhD thesis, or
• have completed at least 240 credits in higher education, with at least 60 credits at Master’s level including an independent project worth at least 15 credits, or
• have acquired substantially equivalent knowledge in some other way.

Good communication skills and excellent study results, as well as sufficient proficiency in oral and written English. Knowledge and experience in programming (preferably C and C++), analysis of initial-boundary value problems and finite element methods are of additional importance.

Previous knowledge of numerical methods for partial differential equations and excellent programming skills are required.

Additional qualifications
Basic knowledge of fluid mechanics and plasma physics is considered to be an advantage.

Rules governing PhD students are set out in the Higher Education Ordinance chapter 5, §§ 1-7 and in Uppsala University's rules and guidelines.

About the employment
The employment is a temporary position according to the Higher Education Ordinance chapter 5 § 7. Scope of employment 100 %. Starting date 2023-09-01 or as agreed. Placement: Uppsala.

For further information about the position, please contact: Murtazo Nazarov, murtazo.nazarov@it.uu.se, head of division Professor Emanuel Rubensson.

Please submit your application by 1 May 2023, UFV-PA 2023/1470.

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