In relation to the existing efforts

All groups in the collaboration are equipped with their own facilities, some with large-scale computational facilities; some other nodes are more focused on theoretical / modelling aspects. So far, these efforts are not coordinated. Many groups are very successful in the development of new techniques, addressing novel applications and pursuing completely new research directions, but research programmes are often developed at a national level. Coordination at a European level reduces the risk of duplication of efforts, will maximize results and eases the exploration of new research directions related to other mathematical fields, thereby putting the European model reduction community in a much stronger situation.

The Action will require wider multidisciplinary consortia spanning not just numerical analysis and systems and control theory, but also other mathematical disciplines such as discrete mathematics (for the reduction of extremely large networks) and linear algebra (tensor analysis) and also engineering disciplines such as electronic and mechanical engineering. This is one aim of this COST Action that will provide new opportunities for participants to bid for research funds in the coming years. Unlike other frameworks, COST offers a flexible mode of operation that optimizes the ability of participants to develop and share new ideas and evolve tailored partnerships that can then be the basis for more formal research applications to, for example, the EC Framework Programme or Member State programmes covering both basic and strategic or applied aspects. A
significant benefit offered by COST concerns the involvement of new groups and institutions. The ability to involve both Early-Stage Researchers and eminent experts in a flexible way is one of the most valuable aspects of the COST framework. This COST Action will act as a global umbrella for young researchers who seek to participate and benefit from being linked to these new and emerging projects. The Action will strongly support the mobility of these young researchers across Europe.

The key networking tools offered by COST (Working Group meetings, STSMs and training schools) will provide the basis for achievement of the objectives. These will be used to stimulate the community which in turn will help with the identification of key problems and routes to their solution via collaborative research programmes supported by the EU, individual Member States and other means. Challenges in the various domains of science and technology require a range of expertise that is usually not found in a single institution. Expertise for a particular project may lie within another country. The Action will enable transnational matchmaking between academic groups and international industry or science partners. Stronger communication between existing activities in model reduction and related areas will result in identification of important areas/sectors
in which to focus research efforts. As stated in the previously mentioned OECD report: “The creation of national and international networks can both stimulate mathematical awareness and creativity concerning industrial problems and avoid duplication of intellectual effort.”

In addition the Action will:

  • Widen understanding of and develop access to complex multiphysics systems where a multidisciplinary approach for model reduction is essential;
  • Assist the evolution of new cooperation and shared understanding between mathematical and engineering disciplines;
  • Provide a new, unique forum at the European level for communication not only between researchers but also those interested in developing improved model reduction methods;
  • Help support the emergence of new research programme initiatives within both the European Union and Member States;
  • Facilitate the mobility of ESRs into research teams for model reduction across Europe;
  • Open new employment opportunities for young researchers from mathematical sciences and several related engineering disciplines;
  • Provide a new route at the European level for communication between scientific researchers, companies and regulatory bodies;
  • Facilitate improved competitiveness of European industry;
  • Issue case study reports and publicity that will help spreading awareness of the benefits of mathematics, and in particular model reduction, for addressing industrial and societal challenges.

This initiative will facilitate the emergence of a new group of researchers engaged in research of a highly novel nature with extensive multi-disciplinary relevance. In this way the Action will play a key role in broadening the training of young researchers within participating Institutes.