Post-doc call of the SFB 65 "Taming Complexity in Partial Differential Systems"
Please note that additional positions currently open in the SFB 65 project may be listed at this link.
The SFB 65 is
a large-scale project focusing on the solution of PDEs describing
the behavior of complex systems from Physics, Biology, and Technologies.
The SFB consists of a
strongly connected research network
embodied by researchers at all career levels, based at the
University of Vienna,
TU Wien,
and the
Institute of Science and Technology (IST) Austria.
In the framework of the SFB, the following
post-doc position
is currently open.
The deadline for application is on
09.01.2022 (23:59 Europe/Vienna time)
.
Project Part in the SFB 65
Project Part 2 (Ansgar Jüngel) -
link.
Type of position
Post-doc position.
Duration of employment
1 year.
Affiliation
The successful applicant will be employed at the
Institute of Analysis and Scientific Computing
of
TU Wien (Vienna, Austria)
and will be associated to the
workgroup of Ansgar Jüngel.
Theme
Structure-preserving numerical schemes for diffusion systems
Scientific context:
Solutions to diffusion equations usually possess some properties
reflecting the physical or biological context, such as positivity, conservation of mass,
exponential decay to equilibrium, or dissipation of energy/entropy.
The aim of this research is to design numerical schemes for parabolic diffusion systems
that satisfy these properties on the discrete level. These schemes are called structure preserving.
An important tool to achieve this goal is the entropy method.
We aim to develop and analyze discrete versions of this method.
Project goals:
Design efficient numerical approximations of (cross-diffusion)
Maxwell-Stefan-Fourier systems, which model gas mixtures under thermal influence.
Possible approaches are finite-volume, discontinuous Galerkin, or space-time techniques.
Another topic is the discretization of spin drift-diffusion systems,
which describe the spin-polarized transport of electrons in semiconductors.
The tasks are the existence of discrete solutions, proof of the structure-preserving properties,
convergence of the scheme, and numerical implementation of the scheme in one and two space dimensions.
Skills required:
PhD in Mathematics or related fields. Solid background
in the theory of nonlinear partial differential equations and their numerical
approximation. General knowledge of functional analytical techniques that are
necessary for the numerical analysis. Convincing publication record in numerical analysis.
Involved researchers of the SFB
Ansgar Jüngel (TU Wien).
Preferred start date
As soon as possible.
Contact
For queries on this advertisement, please contact
Prof. Ansgar Jüngel at juengel@tuwien.ac.at.
Requested documents
- A single pdf with CV and list of publications.
- A motivation letter.
- A pdf or a link to the PhD thesis.
Additional requested information
- Contact details of 2 possible references who will be ready to write a recommendation letter (we are currently not collecting recommendation letters- we will contact these 2 people only for the candidates in the short list if need be).
This position is based at TU Wien (Vienna, Austria), it is funded by the F65 grant from the Austrian Science Fund (FWF) and does not involve any teaching duties.
Applicants for the position must have or be close to obtain a PhD degree in Mathematical Sciences or related fields.
The annual salary is the standard FWF salary for post-docs, i.e. approximately 54k € gross (corresponding to approx. 36k € net salary / year).
Candidates for this position are requested to fill the application form at
this link.
The SFB 65 is committed to diversity and inclusion and is proud to be an equal opportunity employer. All qualified applicants will receive consideration for employment without regard to gender, gender identity or expression, sexual orientation, religion, national origin, disability, or age.
The personal data submitted for this application will be treated according to the European General Data Protection Regulation (GDPR). A
Data Protection Declaration
for this call is available
at this link.
General inquiries for this call can be directed to the Scientific Manager of the SFB 65 (Matteo Tommasini, at matteo.tommasini@univie.ac.at).