University of Twente

Postdoc position in Numerical Analysis – University of Twente – Enschede

Jobid=80d0386fd8eb (0.0999)

We are looking for an enthusiastic and highly motivated
postdoc candidate to join as soon as possible the Mathematics of Computational Science (MACS) group within the Department of Applied Mathematics at the University of Twente. You will
work under the supervision of Dr. Gregor Gantner on a project dedicated to advancing the field of adaptive methods for time-dependent partial differential equations (PDEs). The position is
funded by the Dutch Research Council (NWO) via the Vidi research project Optimal adaptive spacetime boundary and finite element methods.

The project focuses on the design, numerical analysis, and implementation of novel numerical algorithms to efficiently solve parabolic PDEs such as the heat equation. More precisely, you shall investigate space-time finite element methods (FEM) and space-time boundary element methods (BEM), which both discretize the PDE as a whole, treating time as yet another dimension. In particular, this allows for fully flexible local mesh refinement in the space-time cylinder. You will develop suitable aposteriori computable estimators for the discretization error to adaptively steer the mesh refinement and mathematically prove that the resulting algorithms converge optimally with respect
to the number of mesh elements. You will further implement and thereby validate the theoretical results through numerical experiments.

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 to present your work at leading
conferences and engage in international collaborations.

Your profile

  • You have, or will shortly obtain, a PhD degree in Applied Mathematics or a closely related field, with a strong focus on numerical methods for partial differential equations.
  • You are familiar with at least one of the following topics: adaptive finite element methods, boundary element methods, or space-time methods.
  • You have proficient programming skills, ideally in at least one of the following languages: Matlab, Python, Julia, or C/C++.
  • You are an enthusiastic, highly motivated candidate with a creative and analytical mindset.
  • You can work independently, maintaining high-quality standards.
  • You have a good team spirit and like to work in an internationally oriented environment.
  • You are proficient in English.
  • Our offer

  • You will be appointed for a period of 18 months within a very stimulating and exciting scientific environment.
  • Your salary and associated conditions are in accordance with the collective labour agreement for Dutch universities (CAONU).
  • You will receive a gross monthly salary ranging from € 3.546,- (step 0) to € 5.538,- (step 12), depending on experience and qualifications.
  • 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.

  • The flexibility to work (partially) from home.
  • 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).
  • Excellent support for research and facilities for professional and personal development.
  • Lees hier meer

    Deel deze vacature: