Lund University, Faculty of Science, Centre for Mathematical Sciences
Lund University was founded in 1666 and is repeatedly ranked among the world’s top 100 universities. The University has 40 000 students and more than 8 000 staff based in Lund, Helsingborg and Malmö. We are united in our efforts to understand, explain and improve our world and the human condition.
The Faculty of Science conducts research and education within Biology, Astronomy, Physics, Geosciences, Chemistry, Mathematics and Environmental Sciences. The Faculty is organized into nine departments, gathered in the northern campus area. The Faculty has approximately 1500 students, 330 PhD students and 700 employees.
The main duties of doctoral students are to devote themselves to their research studies, which includes participating in research projects and third cycle courses. The work duties may also include teaching and other departmental duties (no more than 20%). A list of possible research areas is included below. The final choice of project and thesis advisor will be made jointly by the candidate and the department.
Possible research areas
In this call we have two projects within some of the department’s areas of expertise, and we are planning to fill two positions. The areas are listed with no particular priority. Please note in the application which area(s) you are interested in.
Numerical methods for coupled problems
Here, we consider so called coupled multiphysics problem, specifically the interaction of two partial differential equations across an interface. Examples can be atmosphere-ocean interaction within a climate model, fluid-structure interaction in wind turbine blades or airfoils, or the cooling of a rocket nozzle with cooling fluid. The standard is a partitioned approach where existing codes for the subproblems are reused and they interact via the exchange of boundary information.
In this project, we design and analyze improved partitioned methods for time dependent problems using what are called waveform iterations. (Contact: Philipp Birken)
Design and analysis of parallel high-order solvers for compressible flow
The project is in the field of Numerical Analysis and Scientific Computing. A competitive fully implicit solver for compressible flow based on latest multigrid methods for Discontinuous Galerkin-Spectral Element Methods is to be designed, mathematically analyzed and implemented in the Distributed and Unified Numerics Environment (DUNE, https://dune-project.org). Application to relevant test cases stemming from gas turbine research and development is planned.(Contact: Robert Klöfkorn)
A person meets the general entry requirements for third-cycle courses and study programmes if he or she: 1. has been awarded a second-cycle qualification, or 2. has satisfied the requirements for courses comprising at least 240 credits of which at least 60 credits were awarded in the second cycle, or 3. has acquired substantially equivalent knowledge in some other way in Sweden or abroad. The head of department may permit an exemption from the general entry requirements for an individual applicant, if there are special grounds.
To be admitted to the third-cycle programme in Numerical Analysis the student must have passed second-cycle courses in mathematics comprising at least 60 credits including at least 15 credits in Numerical Analysis. A degree project of at least 30 credits must be included. Equivalent knowledge acquired through corresponding programmes will be assessed individually. In order to enable interdisciplinary initiatives and important specialisations in certain areas, students with qualifications in subjects other than Numerical Analysis may be considered for admission.
Basis of Assessment
Selection for third-cycle studies is based on the student’s potential to profit from such studies. The assessment of potential is made primarily on the basis of academic results from the first and second cycle. Special attention is paid to the following
- Knowledge and skills in numerical analysis, specifically numerical methods for differential equations and numerical linear algebra are required.
- Programming skills, specifically Python and C++ are a strong merit. Experience with Linux based systems and knowledge of the software package DUNE is a merit (https://dune-project.org).
- An assessment of ability to think work independently and to formulate and tackle research problems.
- Very good oral and written proficiency in English.
Consideration will also be given to good collaborative skills, drive and independence, and how the applicant, through his or her experience and skills, is deemed to have the abilities necessary for successfully completing the third cycle programme.
The employment of doctoral students is regulated in the Swedish Code of Statues 1998: 80. Only those who are or have been admitted to PhD-studies may be appointed to doctoral studentships. When an appointment to a doctoral studentship is made, the ability of the student to benefit from PhD-studies shall primarily be taken into account. In addition to devoting themselves to their studies, those appointed to doctoral studentships may be required to work with educational tasks, research and administration, in accordance with specific regulations in the ordinance.
Type of employment
Limit of tenure, four years according to HF 5 kap 7§.
Applications shall be written in Swedish or English and include a cover letter stating the reasons why you are interested in the position and in what way the research project corresponds to your interests and educational background. The application must also contain a CV, a copy of your Master’s thesis (or a summary text if the thesis is not yet completed), contact details of at least two references, copies of grade certificates, and any other documents that you wish to refer to.