Weierstrass Institute

Mission

The project-oriented research at the Weierstrass Institute is characterized by combining the mathematical disciplines of analysis, stochastics and numerics. This combination has great potential for solving complex applied problems such as the reliable extraction of information from large datasets or the suitable consideration of uncertainties in describing processes. In this way, the institute aids in solving current societal challenges.

Research

The institute dedicates itself to fundamental mathematical research as well as the development of algorithms and scientific software. During the problem-solving process, mathematical models of physical and technological systems are designed that properly capture observed phenomena, thereby providing access to highly developed mathematical analysis. At WIAS the phases of the solving process are repeated and coordinated until an optimal solution is found.

Service to the Community

Secretariat of the International Mathematical Union (IMU) »

Mathematical Research Data Initiative (MaRDI) »

Leibniz Network "Mathematical Modeling and Simulation" »

Mathematical Core Areas

The WIAS is organised in eight Research Groups specializing in different mathematical techniques and methods. Additional temporary teams are created within a Flexible Research Platform as the need arises. The core areas of mathematical research are the analysis and numerics of partial differential equations, and stochastics.

Main Application Areas

Research at WIAS focuses on the following application areas

Cooperation and Consulting

Modern applied mathematical methods are a fundamental resource and driving force for technological and economic development around the world. The rapid development of computer technology and mathematically based numerical methods are making it possible to numerically simulate ever more complex engineering, medical, economic and environmental problems.

At the WIAS excellent fundamental research is combined with years of experience in cooperating successfully with partners in the widest possible mix of application fields. The institute is therefore a recognized expert in the solution of complex economic, scientific, and technical problems by means of mathematical modeling and numerical simulation.

News

Publication on Hypernetworks induce stable hyperlocking in Nature Communications
Matthias Wolfrum part of a research team whose results were published in prestigious journal.

news archive

Events
Tuesday, 14.07.2026, 10.00 (WIAS-ESH)
Joint Research Seminar on Nonsmooth Variational Problems and Operator Equations / Mathematical Optimization
A. Izmailov, Brown University, USA:
A Proximal Discontinuous Galerkin Method for Total Bounded Variation Based Image Denoising

further events

Jobs

Mathematical-technical Software Developer (m/f/d) (2026/09)
Apprenticeship in an internationally oriented scientific work environment

PhD student position (f/m/d) (2026/11)
Optimization or inverse problems with partial differential equations

Research Assistant Position (f/m/d) (2026/12)
Optimization with partial differential equations and variational inequalities

Three Postdoctoral Research Positions (f/m/d) (2026/13)
Reinforcement learning and data-driven mathematical modeling regarding theoretical foundations and/or scientifically significant applications

PhD student position (f/m/d) (2026/14)
Reinforcement learning and data-driven mathematical modeling regarding theoretical foundations and/or scientifically significant applications

Research Assistant Position (f/m/d) (2026/15)
Mathematical modelling, analysis and numerical simulation of flow and multiscale systems

Head of a Research Group (f/m/d) (2026/16)
Theory and algorithms for optimization with partial differential equations with mathematically founded artificial intelligence