Doctoral student in numerical analysis - Hiring in process/Finished, not possible to apply

Description of the workplace

The division of Applied Mathematics consists of about 15 teachers, researchers and doctoral students. Staff at the division provides graduate training and research activities in numerical analysis and scientific computing. The Ph.D. position is connected to the project Flow problems in porous media: Modeling, approximation and implementation, which is financed by eSSENCE: The e-Science Collaboration.

Subject description

The research will be conducted in the subject area of ​​stochastic numerical analysis for differential equations, with a special focus on:

• Randomized methods of time integration.

• Time integration of stochastic (partial) differential equations.

Randomized methods have developed into a very active field of research as they constitute a modern extension of deterministic methods. For example, Monte Carlo integration methods and stochastic optimization schemes offer increased efficiency and accuracy and have a wide range of applications in engineering and natural sciences.

Work duties

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%).

Within the research project, the PhD student (together with the supervisor) will design and rigorously analyze numerical methods for approximations of differential equations. The PhD student will also implement the methods in code and for the latter part of the project the goal is to extend the theory to stochastic partial differential equations. The methods will be used for the simulation of groundwater flow through porous media, which is central to the assessment of how groundwater pollution can be remedied. This will take place in collaboration with the department of technical geology at Lund University.

Admission requirements

A person meets the general admission requirements for third-cycle courses and study programmes if the applicant: 

• has been awarded a second-cycle qualification, or
• has satisfied the requirements for courses comprising at least 240 credits of which at least 60 credits were awarded in the second cycle, or
• has acquired substantially equivalent knowledge in some other way in Sweden or abroad.

A person meets the specific admission requirements for third cycle studies in numerical analysis if the applicant has:

• at least 90 credits of relevance to the subject area, of which at least 60 credits from the second cycle and a specialised project of at least 30 second-cycle credits in the field, or
• a second second-cycle degree in a relevant subject.

In practice this means that the student should have achieved a level of knowledge in mathematics that corresponds to that of a Master of Science programs in Engineering Mathematics or Engineering Physics alternatively a Master’s degree in mathematics or applied mathematics.

Additional requirements:

Very good oral and written proficiency in English Knowledge and skills in numerical methods for differential equations, probability theory and functional analysis.

Assessment criteria

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:

1. Knowledge and skills relevant to the thesis project and the subject of study.
2. An assessment of ability to work independently and to formulate and tackle research problems.
3. Written and oral communication skills.
4. Other experience relevant to the third-cycle studies, e.g. professional experience.

Other assessment criteria:

Programming skills are a merit.

Consideration will also be given to good collaborative skills, drive and independence, and how the applicant, through experience and skills, is deemed to have the abilities necessary for successfully completing the third cycle programme.

We offer

Lund University is a public authority which means that employees get particular benefits, generous annual leave and an advantageous occupational pension scheme. Read more on the University website about being a Lund University employee Work at Lund University. 

Terms of employment

Only those admitted to third cycle studies may be appointed to a doctoral studentship. Third cycle studies at LTH consist of full-time studies for 4 years. A doctoral studentship is a fixed-term employment of a maximum of 5 years (including 20% departmental duties). Doctoral studentships are regulated in the Higher Education Ordinance (1993:100), chapter 5, 1-7 §§.

How to apply

Applications shall be written in 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, degree certificate or equivalent, and other documents you wish to be considered (grade transcripts, contact information for your references, letters of recommendation, etc.).

Welcome to apply!