The core competence of ITWM is mathematics: the language used by scientists and engineers to formulate models for technical systems. In our time it is particularly important, as it provides efficient algorithms to compute and analyse such models. The ITWM 's mission is to develop this technology to give innovative impulses and put them into practice together with industry partners .Since its foundation in 1995 the ITWM has shown great success in building mathematical bridges between applied sciences and concrete application. Clients are large international companies as well as small and medium regional enterprises. Fraunhofer ITWM focuses on the development of mathematical applications for industry, technology and economy. Mathematical approaches to practical challenges are the specific competences of the institute and complement knowledge in engineering and economics in an optimal way. In 2001 ITWM became the first mathematical oriented institute of the Fraunhofer Gesellschaft. The main emphases are surface quality inspection, financial mathematics, visualization of large data sets, optimization of production processes, virtual material design and analysis of 3D models of microstructures.
The Fraunhofer Institute for Industrial Mathematics ITWM at Kaiserslautern is one of currently 66 institutes of the Fraunhofer-Gesellschaft, an application-oriented research organization.