Scientific and societal impact

European scientists involved in model reduction and related areas are very active in their field, often being at the forefront and having cooperations with renowned experts elsewhere in the world, leading to publications in learned journals. By addressing the Action Challenge, the activity on publishing will only increase leading also to improved scientific profiles (for example the h-index) of the researchers in the network. New mathematical techniques will be developed that can be applied directly in an industrial or scientific context, leading to improved design environments in industry, and improved research tools for engineers and scientists. The developments will also have an impact on related disciplines within the mathematical sciences, but also in the systems and control area, optimization, and other fields.

Technology transfer is not a one way street: besides transferring mathematical ideas and methods to science and technology, in many cases the specific applications provide inspiration for new developments in mathematics. In this sense, the Action will lead to considerable two-way traffic between researchers in the area of model order reduction, and scientists and engineers. Universities and this COST Action will act as centres of cooperation. By means of networking, the process of finding the best partners for relevant EU projects will be simplified, as well as the provision of mentoring support for researchers new to the process. This will result in increased participation of countries that are currently less well represented in European (and other international) projects.

Mobility within the network will provide Early-Stage Researchers (ESRs) access to hands-on mathematical modelling training workshops, with an emphasis on enhancing their communication skills. COST funding will assist researchers from the institutions that do not currently run these activities to participate in those organised by other institutions, and thereby seed new initiatives in many research centres. This will result in increased numbers of early-stage mathematics researchers highly trained to work on interdisciplinary problems.

The Action will provide financial support for ESRs to visit established industrial mathematics research centres, or take up industrial internships, for up to three months duration. Long-term benefits of this initiative will be an increased number of mathematicians realising the rewards of an industrial mathematics career in industry or academia.