Podstatou navrhovaného projektu je výzkum v oblasti moderních partií aplikované matematiky, do kterého budou výrazně zapojeni studenti doktorského studijního programu Aplikovaná matematika uskutečňovaného na Ústavu matematiky FSI VUT v Brně. Řešitelský tým se zaměří na problematiku zapadající do výzkumných směrů dlouhodobě rozvíjených na ústavu. Náplní projektu proto bude modelování inženýrských problémů s využitím prostředků numerických metod matematické analýzy, lineární algebry, diskrétní matematiky a statistiky.

FSI-S-11-3

Czech

Šlapal Josef, prof. RNDr., CSc. - principal person responsible
Čermák Jan, prof. RNDr., CSc. - fellow researcher
Doupovec Miroslav, prof. RNDr., CSc., dr. h. c. - fellow researcher
Dražková Jana, Ing., Ph.D. - fellow researcher
Druckmüller Miloslav, prof. RNDr., CSc. - fellow researcher
Druckmüllerová Hana, Ing., Ph.D. - fellow researcher
Fusek Michal, Ing., Ph.D. - fellow researcher
Karpíšek Zdeněk, doc. RNDr., CSc. - fellow researcher
Kisela Tomáš, Ing., Ph.D. - fellow researcher
Kureš Miroslav, doc. RNDr., Ph.D. - fellow researcher
Lacinová Veronika, Ing., Ph.D. - fellow researcher
Martišek Karel, Ing., Ph.D. - fellow researcher
Novotný Jan, Ing. - fellow researcher
Novotný Jan, Ing., Ph.D. - fellow researcher
Opluštil Zdeněk, doc. Mgr., Ph.D. - fellow researcher
Rozehnalová Petra, Ing., Ph.D. - fellow researcher
Šandera Čeněk, Ing., Ph.D. - fellow researcher
Vašík Petr, doc. Mgr., Ph.D. - fellow researcher

Institute of Mathematics
- responsible department (1.1.1989 - not assigned)
Institute of Mathematics
- internal (1.1.2012 - 31.12.2014)
Faculty of Mechanical Engineering
- beneficiary (1.1.2012 - 31.12.2014)

LOMTATIDZE, A. Theorems on Differential Inequalities and Periodic Boundary Value Problem for Second-Order Ordinary Differential Equations. Memoirs Diff. Equat. Math. Phys, 2016, vol. 67, no. 1, p. 1-129. ISSN: 1512-0015.
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MORGAN, H.; DRUCKMÜLLER, M. Multi-Scale Gaussian Normalization for Solar Image Processing. Solar Physics, 2014, vol. 289, no. 8, p. 2945-2955. ISSN: 0038-0938.
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KALAS, J.; NOVOTNÝ, J.; MICHÁLEK, J.; NAKONECHNIY, A. Mathematical Model for Cancer Prevalence and Cancer Mortality. Tavricheskiy vestnik informatiki i matematiki, 2013, vol. 2013, no. 2, p. 44-54. ISSN: 1729-3901.
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JEJCIC, S.; PETR HEINZEL, P.; ZAPIOR, M.; DRUCKMÜLLER, M.; STANISLAV, G.; KOTRČ, P. Multi-Wavelength Eclipse Observations of a Quiescent Prominence Multi-Wavelength Eclipse Observations of a Quiescent Prominence Multi-Wavelength Eclipse Observations of a Quiescent Prominence. Solar Physics, 2014, vol. 2014 (289), no. 7, p. 2487-2501. ISSN: 0038-0938.
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DRUCKMÜLLER, M.; DRUCKMÜLLEROVÁ, H. A Noise Adaptive Fuzzy Equalization Method with Variable Neighborhood for Processing of High Dynamic Range Images in Solar Corona Research. Lecture Notes in Computer Science, 2014, vol. 2014(8466), no. 5, p. 262-271. ISSN: 0302-9743.
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HABBAL, S.; DRUCKMÜLLER, M.; MORGAN, H. Role of Image Processing in Solar Coronal Research. Lecture Notes in Computer Science, 2014, vol. 2014(8466), no. 5, p. 17-24. ISSN: 0302-9743.
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LOMTATIDZE, A.; OPLUŠTIL, Z. Fredholm's third theorem for second order singular Dirichlet problem. Boundary Value Problems, 2014, vol. 2014, no. 13, p. 1-11. ISSN: 1687-2770.
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DRUCKMÜLLER, M.; HABBAL, S.; MORGAN, H. Discovery of aNew Class of Coronal Structures in White Light Eclipse Images. ASTROPHYSICAL JOURNAL, 2014, vol. 2014 (785), no. 1, p. 14-22. ISSN: 0004-637X.
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DRUCKMÜLLER, M.; HABBAL, S.; ANIOL, P.; DING, A.; MORGAN, H. Imaging Comet ISON C/2012 S1 in the Inner Corona at Perihelion. Astrophysical Journal Letters, 2014, vol. 2014( 784), no. 2, p. 22-25. ISSN: 2041-8205.
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KUREŠ, M. On the S-operation in polynomial rings. Journal of Discrete Mathematical Sciences & Cryptography, 2013, vol. 16, no. 6, p. 329-336. ISSN: 0972-0529.
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KUREŠ, M. Dwindlable R-algebras. Mathematics for applications, 2013, vol. 2, no. 2, p. 125-133. ISSN: 1805-3610.
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FRANCŮ, J., ROZEHNALOVÁ, P. Torsion of a Bar with Holes. Engineering Mechanics, 2015, vol. 22, no. 1, p. 3-23. ISSN: 1802-1484.
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HRDINA, J.; VAŠÍK, P. Geometry of almost Cliffordian manifolds: classes of subordinated connections. TURKISH JOURNAL OF MATHEMATICS, 2014, vol. 38, no. 1, p. 179-190. ISSN: 1300-0098.
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ŠLAPAL, J. Convenient adjacencies for structuring the digital plane. ANNALS OF MATHEMATICS AND ARTIFICIAL INTELLIGENCE, 2015, vol. 75 (2015), no. 1, p. 69-88. ISSN: 1012-2443.
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LOMTATIDZE, A.; OPLUŠTIL, Z. Fredholm alternative for the second-order singular Dirichlet problem. Boundary Value Problems, 2014, vol. 2014, no. 13, p. 1-13. ISSN: 1687-2770.
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LOMTATIDZE, A.; HAKL, R.; IOANNIS, S. Bounded Solutions to the First Order Scalar Functional Differential Equations. Memoirs Diff. Equat. Math. Phys, 2013, vol. 2013, no. 59, p. 1-104. ISSN: 1512-0015.
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LOMTATIDZE, A.; ŠREMR, J. On oscillation and nonoscillation of two-dimensional linear differential systems. Georgian Mathematical Journal, 2013, vol. 2013, no. 3, p. 573-600. ISSN: 1072-947X.
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HÜBNEROVÁ, Z.; DOUDOVÁ, L. Properties of some test of equality of two negative binomial samples. In AIP Conference Proceedings. AIP conference proceedings. 1. Melville, New York: American Institute of Physic: AIP Publishing LLC, 2013. p. 1839-1842. ISBN: 978-0-7354-1185-2. ISSN: 0094-243X.
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HÜBNEROVÁ, Z.; VÁŇOVÁ, T.; PROCHÁZKA, J. Estimates of item parameters in computer adaptive testing. In 19th International Conference on Soft Computing MENDEL 2013. Mendel Journal series. Brno: FSI VUT Brno, 2013. p. 421-426. ISBN: 978-80-214-4755-4. ISSN: 1803-3814.
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HRDINA, J. GEOMETRY OF ALMOST CLIFFORDIAN MANIFOLDS: NIJENHUIS TENSOR. Miskolc Mathematical Notes, 2013, roč. 14, č. 2, s. 583-589. ISSN: 1787-2405.
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Responsibility: Šlapal Josef, prof. RNDr., CSc.