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FSIAbbreviation: D-APMAcad. year: 2019/2020
Programme: Applied Natural Sciences
Length of Study: 4 years
Tuition Fees: 3000 EUR/academic year for EU students, 3000 EUR/academic year for non-EU students
Accredited from: 1.9.2001Accredited until: 31.12.2020
Profile
Creative research conducted in a field of applied mathematics and co-operation with experts in other engineering and scientific fields are major focuses of the study that the students should master. They are encouraged in a maximum degree possible to engage in research projects of the Institute of Mathematics at the BUT Faculty of Mechanical Engineering. Computers are available to students as standard equipment.
Guarantor
prof. RNDr. Jan Čermák, CSc.
Issued topics of Doctoral Study Program
Dynamical systems theory provides a useful tool for description and qualitative investigation of many engineering problems. There is a need of profound problem analysis for a construction of adequate mathematical model. Considering too many details is generally leading to complications in the model investigation whereas a negligence of fundamental factors can depreciate obtained analysis. Therefore it is necessary to compare the model analysis with real data (if it is possible). The work consists in applying mathematical and numerical analysis in engineering problems modelling and proper interpretation of obtained results.
Tutor: Tomášek Petr, doc. Ing., Ph.D.
Many recent engineering optimization problems are related to large-scale stochastic programs. They involve random elements and they are often specific by a specialized structure and a huge set of input data. Thus, their solution algorithms need the use of approximating scenario-based programs designed by suitable statistical techniques during a preprocessing phase. Therefore, the proposed research goal is to develop new and modify existing methods in the creation of approximating stochastic programs and their solution techniques together with their implementation and application.
Tutor: Popela Pavel, RNDr., Ph.D.
In the PhD. thesis, geometrical structures of modern differential geometry will be studied, particularly bundle functors, Lie groups and invariants. Besides theoretical results the attention will be focused on applications in the continuum mechanics.
Tutor: Tomáš Jiří, doc. RNDr., Dr.
Study plan wasn't generated yet for this year.