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

AI computing infrastructure to be set up at WIAS
BMFTR funds initiative co-ordinated by WIAS, focusing on materials science and process engineering.

Successful cooperation with FBH results in a joint patent
Collaborative research on new concepts for all-semiconductor Photonic Crystal Surface-emitting Lasers (PCSELs) aims to combine high optical power, excellent beam quality and higher conversion efficiency.

news archive

Events
Tuesday, 04.08.2026, 10.15 (WIAS-406)
Seminar Nichtlineare Optimierung und Inverse Probleme
Dr. H. Kleikamp, Universität Graz, Österreich:
From reduced bases to U-Nets: Machine Learning for parametric optimal control

further events

Jobs

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

PhD student position (f/m/d) (2026/17)
in the Analysis of Nonlinear Partial Differential Equations