Research Assistant

Vor 4 Tagen

Kassel, Deutschland Universität Kassel Vollzeit

At the Faculty of Mathematics and Natural Sciences, Institute of Mathematics, Project Group „Asymptotic-preserving high order numerical methods for kinetic models“ (PD Dr. habil. Sigrun Ortleb) an open PhD position is to be filled as soon as possible:**:**Kennziffer -** Research Assistant (M/F/d), EG 13 TV-H, temporary, part time (currently 30h/week)**

- Application deadline:
09.01.2025
- Date of hire:
as soon as possible
- vacancy number:

- 38025

Part time position with 75,00 percent of the working hours of a full-time employee. This is a fixed-term position until 30.06.2027 (corresponding to WissZeitVG; opportunity for PhD project) in the project „Asymptotic preserving high order generalized upwind SBP schemes with IMEX time integration applied to kinetic transport models“ funded by the German Research Foundation (DFG) within the Priority Programme SPP 2410: Hyperbolic Balance Laws in Fluid Mechanics: Complexity, Scales, Randomness (CoScaRa).

**The research project**:
The project is established in the research area of numerical methods for partial differential equations (PDEs). PDEs based on kinetic models describe a wide range of physical processes relevant to natural and engineering sciences where a large number of particles is involved. Compared to macroscopic fluid models describing the behavior of averaged quantities, kinetic fluid models are closer to particle descriptions. Their deeper level offers more insight into less understood phenomena, e.g. rarefied gases or compressible turbulence with extreme demands on direct numerical simulation. Major numerical challenges are high dimensionality of the given partial differential equations, nonlinearity of physically interesting collision operators, discrete preservation of asymptotic limits, and stiffness caused by multiple scales. The overall goal of this project is to devise novel, efficient numerical techniques for kinetic models which stand on firm mathematical ground regarding stability, accuracy and asymptotics.

**Tasks**:

- Construction and implementation of numerical methods with favorable properties for kinetic transport models
- Presentation and scientific publication of the obtained research results

**Requirements**:

- Completed course of academic study (Master degree) in Mathematics, Scientific Computing or a related field with good to very good results. The degree required for this position must have been obtained by the starting date at the latest
- Fluency in written and spoken English
- Scientific enthusiasm, curiosity, and intrinsic motivation

**Of Advantage**:

- Background in Applied Mathematics (in particular Numerics) and/or Analysis of Partial Differential Equations
- Programming experience

For further information, please contact PD Dr. habil Sigrun Ortleb, Tel.: +49 561 804-2888.

**Our Offer**:
As an employee of the University of Kassel
- you will be offered an interesting and diverse range of tasks within the framework of a modern and ambitious university,
- you will be part of an interdisciplinary team with a good and collegial working atmosphere,
- you will have the opportunity to participate in professional and interdisciplinary further education measures,
- is your workplace with good connections to public transport, which you can currently use free of charge.

In addition, you will benefit from the advantages of employment in the public service such as:

- an additional company pension (VBL),
- an optional child supplement in accordance with TV-Hessen, a family-friendly university (including childcare for emergencies),
- an annual bonus
- an entitlement to capital-accumulation benefits,
- a promotion of voluntary commitment,
- low-cost participation in university sports and a full range of fitness activities as part of Unifit, as well as workplace health management

**You can find more jobs at stellen.uni-kassel.de**

The University of Kassel is very interested in the professional satisfaction of its employees. It is distinguished as a family-friendly university and, in the interests of equal opportunities, strives to offer everyone the same opportunities for development and to counteract existing disadvantages. It promotes the Family Welcome Service and also the Dual Career Service for positions that are scientifically and academically filled. One of the strategic goals of the University of Kassel is to significantly increase the proportion of women in research and teaching. Applications from women are therefore particularly welcome. Seriously handicapped and equivalent applicants are given preference if they have the same suitability, qualifications and professional performance. Full-time positions are generally divisible (except when filling civil servant positions). Applications indicating the Position Number, which may be in digital form, should be sent to the President of the University of Kassel, 34109 Kassel, Germany quoting the applicable reference number.

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