The MathInHPC Doctoral School conducts advanced research not only in its key research area (High Performance Computing) but also in many other scientific and technical fields of study where HPC methods come in useful.
- In the field of HPC, research at the Faculty of Mathematics and Physics of Charles University in Prague (MFF UK) primarily focuses on the development and theoretical analysis of both numerical mathematics and mathematical modelling algorithms and methods. In general, the Doctoral School focuses its research and development on all three of its main areas – mathematics, physics, and computer science, within both basic and applied research. Due to the wide application and excellent results of its scientists, the faculty also successfully participates in various interdisciplinary projects. In conducting research in the Czech Republic, the main scientific partners of the faculty are both selected Czech universities of technical and natural sciences and the research institutes of the Czech Academy of Sciences. Rich scientific activity can also be implemented through support from various sources, not only institutional – the reallocation of funds raised by UK based on the evaluation of science and research results, but also national and international. The academic staff of the faculty receive major international awards each year for their scientific, publishing, and organisational activities.
- The main activities of the Mathematical Institute of the Czech Academy of Sciences include scientific research in the areas of mathematics and its applications and provision of research infrastructure. Its activities contribute to raising the level of knowledge and education and to transferring the results of scientific research to practice. The Mathematical Institute obtains, processes, and disseminates scientific information and publishes scientific and professional publications. In collaboration with universities, it runs PhD study programmes and educates scientists. Within the scope of its activities, it develops international cooperation, including organising joint research with foreign partners. It holds domestic and international scientific meetings, conferences, and seminars. Scientists at the Mathematical Institute are involved in mathematical analysis (ordinary and partial differential equations, numerical analysis, functional analysis, real analysis and function spaces theory), mathematical physics, mathematical logic, complexity theory, combinatorics, set theory, numerical linear algebra, topology (both general and algebraic), differential geometry, and mathematics teaching theory.
- Science and research are developing in all areas of electrical engineering, computer science, mathematics, and physics at the Faculty of Electrical Engineering and Computer Science (FEI). FEI has 28 expert groups guaranteeing individual expert directions in 8 departments (see expert groups). Academic and scientific staff publish their work in the world’s best journals with around 80 journal articles being published each year, of which around 20 are published in journals ranked in the first quarter. The number of patents obtained each year by FEI is around 5, some of which are licensed. Academics are the investigators or co-coinvestigators of several national (GA CR, TA CR) and international projects (FP7, H2020), see research projects. The FEI’s funding from the project activity is around CZK 60 mil. each year. The faculty also cooperates with industrial partners to tackle research challenges, with an economic activity volume of around CZK 12 million each year.
- IT4Innovations is a research and development centre with strong international links and as such it actively participates in various prestigious international organizations (PRACE, ETP4HPC, EuroHPC, I4MS, BDVA, HiPEAC, and Eurolab4HPC) as well as in implementing more than a dozen of international projects funded primarily by the Horizon 2020 programme. Supercomputers help all experts understand complex systems and allow them to predict their future development. They can be applied wherever it would otherwise be virtually impossible, very expensive, or where classical methods would be too much time-consuming. At IT4Innovations, supercomputers are used largely to design new materials and pharmaceuticals, develop new products, analyse large data, and optimise manufacturing processes, often using artificial intelligence algorithms.
Cooperation with industry is an important part of the Doctoral School’s activities. All Doctoral School partners are not only engaged in basic research but also in the application of the relevant research results in practice. The most significant examples of cooperation between the Doctoral School partners and industry are as follows:
- The Faculty of Mathematics and Physics of Charles University in Prague launched the MFF Partnership Programme of MFF UK. It connects the faculty with partners from business corporations, research institutes, the media, non-profit organizations, and public administration bodies. Through this programme, experts in innovation processes and the development of scientific disciplines can collaborate within their scope of activities as well as in the field of experimental development. The Partnership Programme members include: Ernst & Young, SKODA AUTO, Barclays, MICROSOFT, and Iterait.
Within the framework of international cooperation, the Doctoral School partners develop relationships in major areas of research and education with many foreign institutions. For more information, visit the website of each partner:
Given the scale and dynamics of the participation of individual Doctoral School partners in national and international projects, we refer those interested in an up-to-date status to the partners’ websites dedicated to their currently implemented projects: