Podstatou navrhovaného projektu je výzkum v oblasti moderních metod aplikované matematiky s cílem nalezení nových výsledků využitelných při řešení problémů zejména technické praxe. V souladu se zaměřením jednotlivých odborů ústavu se budeme věnovat zpracování digitálních obrazů, řešení diferenciálních rovnic, statistice, optimalizaci a aplikacím algebry a diferenciální geometrie v robotice. Jedná se o pokračování výzkumu, který na Ústavu matematiky probíhá řadu let a i nadále v něm budou zapojeni studenti DSP Aplikovaná matematika.

FSI-S-20-6187

Czech

Šlapal Josef, prof. RNDr., CSc. - principal person responsible
Bednář Josef, Ing., Ph.D. - fellow researcher
Byrtus Roman, Ing. - fellow researcher
Cabalka Matouš, Ing. - fellow researcher
Čermák Jan, prof. RNDr., CSc. - fellow researcher
Derevianko Anna, Ing., Ph.D. - fellow researcher
Dolník Matej, Ing. - fellow researcher
Dospiva Jindřich, Ing. - fellow researcher
Druckmüller Miloslav, prof. RNDr., CSc. - fellow researcher
Eryganov Ivan, Ing., Ph.D. - fellow researcher
Fedorková Lucie, Ing. - fellow researcher
Hrazdíra Zdeněk, Ing., Ph.D. - fellow researcher
Hrdina Jaroslav, doc. Mgr., Ph.D. - fellow researcher
Kalenská Petra, Ing., Ph.D. - fellow researcher
Konečná Tereza, Ing. - fellow researcher
Lomtatidze Aleksandre, prof., DrSc. - fellow researcher
Loučka Pavel, Ing., Ph.D. - fellow researcher
Novák Jiří, Ing. - fellow researcher
Popela Pavel, RNDr., Ph.D. - fellow researcher
Rosecký Martin, Ing. - fellow researcher

Institute of Mathematics
- responsible department (3.6.2020 - not assigned)
Institute of Mathematics
- internal (1.1.2020 - 31.12.2022)
Faculty of Mechanical Engineering
- beneficiary (1.1.2020 - 31.12.2022)

ŠREMR, J. On a periodic problem for super-linear second-order ODEs. Mathematica Slovaca, 2024, vol. 74, no. 6, p. 1457-1476. ISSN: 0139-9918.
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VALIŠ, D.; ŽÁK, L.; VINTR, Z. Combustion Engine Degradation Assessment Supported by Tribological Data, Correlation and Reduction Analysis. In 2023 IEEE International Conference on Industrial Engineering and Engineering Management, IEEM 2023. Singapore: IEEE, 2024. p. 1452-1456. ISBN: 979-8-3503-2315-3.
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LOMTATIDZE, A. Lineární funkcionální analýza I. Aleksandre Lomtatidze, 2024. s. 1-96.
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ŠREMR, J. Parameter-dependent periodic problems for non-autonomous Duffing equations with sign-changing forcing term. Electronic Journal of Differential Equations, 2023, vol. 2023, no. 65, p. 1-23. ISSN: 1072-6691.
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ERYGANOV, I.; ŠOMPLÁK, R.; HRABEC, D.; JADRNÝ, J. Bilevel programming methods in waste-to-energy plants' price-setting game. Operational Research, 2023, vol. 23, no. 2, p. 1-37. ISSN: 1866-1505.
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MOURALOVÁ, K.; BEDNÁŘ, J.; BENEŠ, L.; POLZER, A.; ZAHRADNÍČEK, R.; FRIES, J.; PROKEŠ, T. Machining of 1.2363 and 1.2343ESR steels using EDM. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2023, vol. 45, no. 7, ISSN: 1806-3691.
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ŠTOUDKOVÁ RŮŽIČKOVÁ, V. RICCATI MATRIX DIFFERENTIAL EQUATION AND THE DISCRETE ORDER PRESERVING PROPERTY. Archivum Mathematicum, 2023, vol. 59, no. 1, p. 125-131. ISSN: 1212-5059.
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FROLÍK, S.; RAJCHL, M.; STODOLA, M. Numerical Experiment on Optimal Control for the Dubins Car Model. In Modelling and Simulation for Autonomous Systems. Lecture Notes in Computer Science. 2021. p. 111-122. ISBN: 978-3-030-70739-2. ISSN: 1611-3349.
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STODOLA, M.; FROLÍK, S. Self-calibration method of binocular vision based on conformal geometric algebra. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, no. 12, p. 1289-1304. ISSN: 0170-4214.
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MAZAL, J.; FAGIOLINI, A.; VAŠÍK, P.; TURI, M.; BRUZZONE, A.; PICKL, S.; NEUMANN, V.; STODOLA, P. Preface. Switzerland: Springer Nature Switzerland AG, 2022. p. 1 (1 s.).
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MARTIŠEK, D. Mathematical Methods for 3D Reconstruction of Cell Structures. Mendel Journal series, 2022, vol. 28, no. 2, p. 83-92. ISSN: 1803-3814.
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MARTIŠEK, D. Mathematical Incorrectness of So-Called Higuchi‘s Fractal Dimension. Mendel Journal series, 2022, vol. 28, no. 2, p. 93-96. ISSN: 1803-3814.
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KLAŠKA, J. Tabulky reprezentantů kubických polynomů s daným diskriminantem. Tabulky reprezentantů kubických polynomů s daným diskriminantem. Ćeská republika: CERM, 2022. s. 1-46. ISBN: 978-80-7623-094-1.
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SUJA, J.; KUBÍČEK, M.; KOUTNIK, T. A problem of probability density function estimation for large dimensional spaces with many low-influential dimensions. In 14th WCCM-ECCOMAS Congress 2020. 14th WCCM-ECCOMAS Congress 2020. scipedia, 2021. p. 1-12. ISSN: 2696-6999.
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ŠLAPAL, J. On bases of closure operators on complete lattices. Quaestiones Mathematicae, 2023, vol. 46, no. 4, p. 781-790. ISSN: 1607-3606.
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ŠLAPAL, J. Closure operators associated with relations. Topology Proceedings, 2023, vol. 61, no. 1, p. 203-213. ISSN: 0146-4124.
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LIEBERMAN, M.; VASEY, S.; ROSICKÝ, J. Hilbert spaces and C*-algebras are not finitely concrete. JOURNAL OF PURE AND APPLIED ALGEBRA, 2023, vol. 227, no. 4, ISSN: 0022-4049.
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LIEBERMAN, M.; VASEY, S.; ROSICKÝ, J. CELLULAR CATEGORIES AND STABLE INDEPENDENCE. JOURNAL OF SYMBOLIC LOGIC, 2022, vol. 18.05.2022, no. 18.05.2022, ISSN: 1943-5886.
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TOMÁŠ, J. Higher-order and Weil generalization of Grassmannian. In MSMF 10 Proceedings. Procedia Structural Integrity. Elsevier, 2023. p. 65-70. ISSN: 2452-3216.
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MOURALOVÁ, K.; BEDNÁŘ, J.; BENEŠ, L.; PROKEŠ, T.; ZAHRADNÍČEK, R.; FRIES, J. Mathematical models for machining optimization of Ampcoloy 35 with different thicknesses using WEDM to improve the surface properties of mould parts. Materials, 2023, vol. 16, no. 1, p. 1-18. ISSN: 1996-1944.
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Responsibility: Šlapal Josef, prof. RNDr., CSc.