Project detail
Advanced Mathematical Methods for Solving Engineering Problems
Duration: 1.3.2023 — 28.2.2026
Funding resources
Vysoké učení technické v Brně - Vnitřní projekty VUT
On the project
Zaměření projektu je do oblastí s přesahem matematických disciplin, tedy algebry, geometrie, analýzy (včetně numeriky) a statistiky. Typickým úkolem je autonomní řízení, kde kromě analýzy obrazu a metod umělé inteligence vstupuje do hry i optimální řízení, rozhodovací strategie a výpočetní optimalizace. Řízení robotických ramen, zvyšování přesnosti obrábění, plánování svozu odpadu nebo řízení tavného procesu jsou další ukázky problémů řešených komplexními matematickými metodami.
Description in English
The project focuses on areas that overlap mathematical disciplines, i.e. algebra, geometry, analysis (including numerics) and statistics. A typical task is autonomous driving, where, in addition to image analysis and artificial intelligence methods, optimal control, decision-making strategies and computational optimization also come into play. Controlling robotic arms, increasing machining accuracy, waste collection planning or melting process control are other examples of problems solved by complex mathematical methods.
Mark
FSI-S-23-8161
Default language
Czech
People responsible
Vašík Petr, doc. Mgr., Ph.D. - principal person responsible
Benko Matej, Ing. - fellow researcher
Byrtus Roman, Ing. - fellow researcher
Čermák Jan, prof. RNDr., CSc. - fellow researcher
Derevianko Anna, Ing., Ph.D. - fellow researcher
Druckmüller Miloslav, prof. RNDr., CSc. - fellow researcher
Eryganov Ivan, Ing., Ph.D. - fellow researcher
Fedorková Lucie, Ing., Ph.D. - fellow researcher
Franců Jan, prof. RNDr., CSc. - fellow researcher
Hrdina Jaroslav, doc. Mgr., Ph.D. - fellow researcher
Kalenská Petra, Ing., Ph.D. - fellow researcher
Kureš Miroslav, doc. RNDr., Ph.D. - fellow researcher
Loučka Pavel, Ing., Ph.D. - fellow researcher
Machovičová Tatiana, Ing. - fellow researcher
Maya Baraah - fellow researcher
Navrátil Dušan, Ing. - fellow researcher
Petrák Filip, Mgr. - fellow researcher
Šlapal Josef, prof. RNDr., CSc. - fellow researcher
Štarha Pavel, doc. Ing., Ph.D. - fellow researcher
Tomáš Jiří, doc. RNDr., Dr. - fellow researcher
Units
Institute of Mathematics
- responsible department (1.2.2024 - not assigned)
Institute of Mathematics
- internal (1.1.2023 - 31.12.2025)
Faculty of Mechanical Engineering
- beneficiary (1.1.2023 - 31.12.2025)
Results
KUREŠ, M. Instructions for carpenters on how to cut a tetrahedron. MATerials MATemàtics, 2025, vol. 2025, no. 3, p. 1-5. ISSN: 1887-1097.
Detail
ŘEHÁK, P. Fractional Integration and Differentiation of Asymptotic Relations and Applications. Mathematical Methods in the Applied Sciences, 2025, vol. 48, no. 6, p. 6381-6395. ISSN: 1099-1476.
Detail
SCHMIDLOVÁ, S.; JAVŮRKOVÁ, Z.; TREMLOVÁ, B.; HERNIK, J.; PRUS, B.; MARCINČÁK, S.; MARCINČÁKOVÁ, D.; ŠTARHA, P.; ČÍŽKOVÁ, H.; KRUŽÍK, V.; BODOR, Z.; BENEDEK, C.; TITĚRA, D.; BORŽÍKOVÁ, J.; POSPIECH, M. Exploring the Influence of Soil Types on the Mineral Profile of Honey: Implications for Geographical Origin Prediction. Foods, 2024, vol. 13, no. 13, ISSN: 2304-8158.
Detail
KLAŠKA, J. Aplikace celočíselných bodů eliptických křivek v teorii kubických a kvartických polynomů. Kvaternion, 2025, roč. 1, č. 1-2, s. 19-40. ISSN: 1805-1324.
Detail
SUJA, J.; KULMON, P. Scalarization of Multi-Function Sensor Scheduling Problem. In Proceedings of the International Conference on New Trends in Signal Processing, NTSP 2024. NEW YORK: IEEE, 2024. p. 160-164. ISBN: 978-80-8040-637-0.
Detail
KOČENDOVÁ, A.; KUREŠ, M. Inverze matic nad nekomutativními okruhy pomocí Schurových doplňků. Kvaternion, 2024, roč. 2024, č. 1-2, s. 73-82. ISSN: 1805-1324.
Detail
HRABEC, D.; KUČERA, J.; MARTÍNEK, P. Marketing effort within the newsvendor problem framework: A systematic review and extensions of demand-effort and cost-effort formulations. INTERNATIONAL JOURNAL OF PRODUCTION ECONOMICS, 2023, vol. 257, no. 2023, p. 1-10. ISSN: 1873-7579.
Detail
OPLUŠTIL, Z. ON NON-OSCILLATION FOR TWO DIMENSIONAL SYSTEMS OF NON-LINEAR ORDINARY DIFFERENTIAL EQUATIONS. Miskolc Mathematical Notes (electronic version), 2024, vol. 25, no. 2, p. 943-954. ISSN: 1787-2413.
Detail
JURAČKA, J.; HÜBNEROVÁ, Z. FUEL CONSUMPTION MONITORING OF TURBOPROP ENGINE. In ICAS Proceedings. ICAS proceedings. DLR, 2024. ISSN: 1025-9090.
Detail
ČERMÁK, J.; FEDORKOVÁ, L.; JÁNSKÝ, J. On moduli and arguments of roots of complex trinomials. PACIFIC JOURNAL OF MATHEMATICS, 2024, vol. 332, no. 1, p. 39-67. ISSN: 0030-8730.
Detail
ČERMÁK, J.; ANDRES, J.; FEDORKOVÁ, L. Piers Bohl stále inspirující. Pokroky matematiky, fyziky a astronomie, 2024, roč. 69, č. 3, s. 133-152. ISSN: 0032-2423.
Detail
KOVÁŘ, J.; FUIS, V. Influence of Berkovich indenter tilt on the projected contact area at nanoindentation test. Engineering mechanics 2024. Milovy: Brno University of Technology, 2024. p. 166-169. ISBN: 978-80-214-6235-9.
Detail
MOURALOVÁ, K.; BENEŠ, L.; BEDNÁŘ, J; ZAHRADNÍČEK, R.; FRIES, J. Influence of different wire materials on the machining of Albromet W130 by WEDM. PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART B-JOURNAL OF ENGINEERING MANUFACTURE, 2024, vol. 238, no. 14, ISSN: 0954-4054.
Detail
KALENSKÁ, P.; RAJMIC, P.; GEBRTOVÁ, K.; DRUCKMÜLLER, M. A Novel Technique for the Extraction of Dynamic Events in Extreme Ultraviolet Solar Images. Astrophysical Journal, Supplement Series, 2024, vol. 275, no. 1, ISSN: 1538-4365.
Detail
ŘEHÁK, P. The discrete fractional Karamata theorem and its applications. Mathematica Slovaca, 2024, vol. 74, no. 5, p. 1205-1214. ISSN: 0139-9918.
Detail
ŠLAPAL, J. A digital 3D Jordan-Brouwer separation theorem. Analele Stiintifice Ale Universitatii Ovidius Constanta, Seria Matematica, 2024, vol. 32, no. 3, p. 161-172. ISSN: 1224-1784.
Detail
ERYGANOV, I.; HRDINA, J.; NÁVRAT, A. Quantization of two- and three-player cooperative games based on QRA. Journal of Physics A: Mathematical and Theoretical, 2024, vol. 57, no. 42, p. 1-24. ISSN: 1751-8121.
Detail
MOURALOVÁ, K.; BEDNÁŘ, J; BENEŠ, L.; ZAHRADNÍČEK, R.; FRIES, J. Machinability analysis of Albromet W130 copper alloy by WEDM. INTERNATIONAL JOURNAL OF ADVANCED MANUFACTURING TECHNOLOGY, 2024, vol. 134, no. 11, p. 5771-5785. ISSN: 0268-3768.
Detail
HRDINA, J.; STODOLA, M. Higher Order Geometric Algebras and Their Implementations Using Bott Periodicity. ADV APPL CLIFFORD AL, 2024, vol. 34, no. 4, p. 1-22. ISSN: 0188-7009.
Detail
HITZER, E.; PAPAGIANNAKIS, G.; VAŠÍK, P. Editorial for special issue "ENGAGE 22: Geometric Algebra for Graphics & Engineering". Mathematical Methods in the Applied Sciences. HOBOKEN: WILEY, 2024. p. 11303-11304. ISSN: 1099-1476.
Detail
Responsibility: Vašík Petr, doc. Mgr., Ph.D.