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Postdoctoral Researcher (f/m/d) in Numerical Analysis and PDEs

MathHire.org
Garching bei München

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Details zur Stelle

vor 1 Tag

Qualifikationen

Doktorat
Angewandte Mathematik
Forschungserfahrung
Master
C++
C
Bachelor
Python

Vollständige Stellenbeschreibung

Ever heard of concepts like model order reduction, nonlocal PDE operators or OpenMP/MPI/CUDA parallelization? If such terms are familiar for you - and if you are excited by the mathematical analysis, development, and rigorous understanding of numerical methods for PDEs beyond their sole application - then please be informed that we are seeking a highly motivated postdoctoral researcher to join the group of Prof. Dr. Barbara Wohlmuth at the Chair of Numerical Mathematics at the TUM School of Computation, Information and Technology.

We strongly encourage applications from women and individuals currently underrepresented in mathematics and computational sciences.

This is a fully funded, project-independent research position without teaching obligations, offering substantial academic freedom and the opportunity to develop an independent research profile within an interdisciplinary and international environment. The position is initially limited to two years, with the possibility of extension.

Research Environment
Our research combines rigorous mathematical analysis with modern scientific computing and interdisciplinary applications. We are particularly interested in candidates with a strong foundation in mathematical theory and analytical reasoning for PDE-based models and numerical methods.

Research areas within the group include:

Analysis and numerics of nonlinear PDEs
Development and analysis of solver and coupling methods
Mathematical modeling and simulation
Development in Finite element and alternative discretization methods (e.g. Lattice Boltzmann methods)
High-dimensional algorithms and high-performance computing
Interdisciplinary applications ranging from biomechanics and geophysics to fluid and polymer models

Further information can be found here:

Typical responsibilities:

Development and analysis of PDE-based mathematical models
Derivation, analysis, and implementation of numerical methods and simulation algorithms
Rigorous mathematical analysis and proofs (e.g. convergence, existence, uniqueness, stability)
Scientific computing and efficient implementation in research software frameworks beyond commercial solvers
Interdisciplinary collaboration with researchers from applied sciences
Publication and presentation of research results at international venues
Optional: co-supervision of Bachelor’s and Master’s theses

What you bring:

An excellent PhD degree in Applied Mathematics or a closely related field with substantial training in rigorous mathematical analysis beyond the regular higher mathematics and numerical methods classes
A strong theoretical background in functional analysis, PDE theory, and the mathematical analysis of numerical methods
Demonstrated ability and interest in theorem-oriented research, including rigorous derivations, proofs, and analytical reasoning
Experience in mathematical modeling and the development or analysis of numerical methods for PDEs
Strong scientific programming skills in C/C++ and Python for the implementation and investigation of mathematical models and numerical methods
Ability to work independently and collaboratively in an interdisciplinary research environment
Enthusiasm for mathematically challenging research questions motivated by real-world applications

Please note that this position is primarily aimed at candidates with a strong background in rigorous applied mathematics and mathematical research. In particular, we are seeking applicants interested in the analytical and numerical foundations of PDE-based modeling and simulation, including theorem-oriented work such as derivation, analysis, and mathematical justification of methods. The position is therefore less suited to applicants whose background is primarily focused on the application of commercial simulation software or purely application-driven engineering workflows.

What we offer

A supportive, international, and interdisciplinary research environment
Collaboration opportunities with leading academic and industrial partners
Access to modern computational infrastructure, including GPU clusters and supercomputers
Scientific freedom and excellent development opportunities
Salary according to the German public service pay scale TV-L E13 (depending on qualifications and experience)

TUM aims to increase the proportion of women in research, and therefore explicitly encourages applications from women. The position is also suitable for individuals with severe disabilities. Applicants with severe disabilities will be given preferential consideration if they are equally qualified in terms of suitability, competence, and professional performance.

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