PhD position on Stochastic geometric numerical methods
- Enschede, Overijssel
- Vast
- Voltijds
based on full-time€ 3,059 - € 3,881Deadline30 Sep 2025Are you passionate about developing cutting-edge numerical algorithms at the intersection of geometry, stochastic analysis, and high-performance simulations? We offer a challenging PhD position in the Mathematics of Computational Science group to design and analyse novel structure-preserving methods for stochastic dynamical systems, with applications ranging from plasma physics and molecular dynamics to advanced simulations for sustainable energy research.We are looking for a motivated and ambitious PhD candidate to join the Mathematics of Computational Science (MACS) group within the Department of Applied Mathematics at the University of Twente. The successful candidate will work under the supervision of Dr. Tomasz Tyranowski on a project dedicated to advancing the field of stochastic geometric integration.The project focuses on the development and analysis of novel structure-preserving numerical algorithms for stochastic dynamical systems, particularly stochastic Hamiltonian systems. These methods are designed to retain the intrinsic geometric properties of the underlying equations, ensuring stability and accuracy in long-time simulations. The research combines fundamental mathematical theory with applications in areas such as plasma physics, molecular dynamics, and medical physics. In particular, the work contributes to improving large-scale plasma simulations that are essential for the design and optimization of nuclear fusion devices, a key step toward future sustainable energy technologies.You will conduct your research in a collaborative, international, and interdisciplinary environment that values both academic excellence and open exchange of ideas. The MACS group offers a stimulating atmosphere with regular discussions, opportunities for collaboration, and access to expertise in numerical analysis, dynamical systems, and high-performance computing. The position includes funding for several short research stays at the Max Planck Institute for Plasma Physics in Garching near Munich, Germany, providing valuable opportunities to collaborate with leading experts in computational plasma physics and expand your professional network. You will also have opportunities to present your work at leading conferences, engage in international collaborations, and develop a strong professional profile in computational mathematics and its applications.Your profile
- You are an enthusiastic and highly motivated researcher.
- You have, or will shortly, acquire a master's degree in Applied Mathematics or a closely related field
- You possess a strong background in scientific computing and numerical analysis, particularly in numerical methods for ordinary and partial differential equations
- You have proficient programming skills, ideally in at least one of the languages: Julia, Python, Matlab, or C/C++
- You are familiar with at least one of the following topics: differential geometry, stochastic differential equations, computational plasma physics
- You have a good team spirit and like to work in an interdisciplinary and internationally oriented environment.
- You are proficient in English.
- A full-time position for four years, with a qualifier in the first year, and the flexibility to work (partially) from home.
- Your salary and associated conditions are in accordance with the collective labour agreement for Dutch universities (CAO-NU).
- You will receive a gross monthly salary ranging from € 3.059,- (first year) to € 3.881,- (fourth year)
- There are excellent benefits including a holiday allowance of 8% of the gross annual salary, an end-of-year bonus of 8.3%, and a solid pension scheme.
- A minimum of 232 leave hours in case of full-time employment based on a formal workweek of 38 hours. A full-time employment in practice means 40 hours a week, therefore resulting in 96 extra leave hours on an annual basis.
- Free access to sports facilities on campus.
- A family-friendly institution that offers parental leave (both paid and unpaid).
- You will have a training programme as part of the Twente Graduate School where you and your supervisors will determine a plan for a suitable education and supervision.
- A Curriculum Vitae, including a list of all courses attended and grades obtained, and, if applicable, a list of publications and references.
- A cover letter (maximum 2 pages A4), emphasising your specific interest, qualifications, and motivations to apply for this position.
- A summary of your Master's thesis/final project.
- References (contact information) for two scientific staff members (preferably including the supervisor of your Master's thesis/final project) who are willing to provide a recommendation letter upon request.
- An IELTS-test, Internet TOEFL test (TOEFL-iBT), or a Cambridge CAE-C (CPE). Applicants with a non-Dutch qualification and who have not had secondary and tertiary education in English can only be admitted with an IELTS-test showing a total band score of at least 6.5, internet. TOEFL test (TOEFL-iBT) showing a score of at least 90, or a Cambridge CAE-C (CPE).
Assistant ProfessorTyranowski, T.M. (Tomasz)
Assistant ProfessorDo you have questions about this vacancy? Then you can contact Tomasz for all substantive questions about this position and the application procedure. For general questions about working for the UT, please refer to the chatbot.