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Project detail
Duration: 01.01.2011 — 31.12.2013
Funding resources
Brno University of Technology - Vnitřní projekty VUT
- whole funder (2012-01-01 - 2014-12-31)
On the project
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.
Mark
FSI-S-11-3
Default language
Czech
People responsible
Čermák Jan, prof. RNDr., CSc. - fellow researcherDoupovec Miroslav, prof. RNDr., CSc., dr. h. c. - fellow researcherDražková Jana, Ing., Ph.D. - fellow researcherDruckmüller Miloslav, prof. RNDr., CSc. - fellow researcherDruckmüllerová Hana, Ing., Ph.D. - fellow researcherFusek Michal, Ing., Ph.D. - fellow researcherKarpíšek Zdeněk, doc. RNDr., CSc. - fellow researcherKisela Tomáš, Ing., Ph.D. - fellow researcherKureš Miroslav, doc. RNDr., Ph.D. - fellow researcherLacinová Veronika, Ing., Ph.D. - fellow researcherMartišek Karel, Ing., Ph.D. - fellow researcherNovotný Jan, Ing. - fellow researcherNovotný Jan, Ing., Ph.D. - fellow researcherOpluštil Zdeněk, doc. Mgr., Ph.D. - fellow researcherRozehnalová Petra, Ing., Ph.D. - fellow researcherŠandera Čeněk, Ing., Ph.D. - fellow researcherVašík Petr, doc. Mgr., Ph.D. - fellow researcherŠlapal Josef, prof. RNDr., CSc. - principal person responsible
Units
Institute of Mathematics- internal (2012-01-01 - 2014-12-31)Faculty of Mechanical Engineering- beneficiary (2012-01-01 - 2014-12-31)
Results
MAUDER, T.; ŠTĚTINA, J.; ŠANDERA, Č.; KAVIČKA, F.; MASARIK, M. AN OPTIMAL RELATIONSHIP BETWEEN CASTING SPEED AND HEAT TRANSFER COEFFICIENTS FOR CONTINUOUS CASTING PROCESS. In METAL 2011 Conference proceedings. Metal. Ostrava: Tanger, 2011. p. 22-27. ISBN: 978-80-87294-22-2.Detail
KARPÍŠEK, Z.; LACINOVÁ, V. IJK - algorithm to calculate the interval reliability. In Aplimat 2011- 10th International Conference on Applied Mathematics. Slovak University of Technology in Bratislava: 2011. p. 577-584. ISBN: 978-80-89313-51-8.Detail
ŠLAPAL, J.; HOLGATE, D. Categorical neighborhood operators. Topology and its Applications, 2011, vol. 158, no. 16, p. 2356-2365. ISSN: 0166-8641.Detail
FRANCŮ, J. Method of Reliable Solution in Homogenization. In Bratislava, Slovakia: Slovak University of Technology, 2011. p. 12-16.Detail
KUREŠ, M. Automorphisms of polynomial and local algebras over binary fields. In International Conference Applied Natural Sciences 2011 Proceedings. University of SS. Cyril and Methodius in Trnava, 2011. p. 128-130. ISBN: 978-80-8105-266-8.Detail
KLAŠKA, J. Applications of Fibonacci numbers and the golden ratio in physics, chemistry, biology and economy. 7TH CONFERENCE ON MATHEMATICS AND PHYSICS AT TECHNICAL UNIVERSITIES. Brno: Univerzita obrany, 2011. p. 263-274. ISBN: 978-80-7231-815-5.Detail
LACINOVÁ, V.; KARPÍŠEK, Z.; SADOVSKÝ, Z. Pesimistické odhady rozdělení pravděpodobnosti kategoriální veličiny. Informacní Bulletin Ceské Statistické spolecnosti, 2011, roč. 22, č. 2, s. 138-145. ISSN: 1210-8022.Detail
KARPÍŠEK, Z.; LACINOVÁ, V. IJK-Algoritm to Calculate the Interval Reliability. Journal of Applied Mathematics, 2011, vol. 2011, no. 2, p. 577-584. ISSN: 1337-6365.Detail
KARPÍŠEK, Z.; MARTIŠEK, K. Software pro výpočet fuzzy spolehlivosti soustav s využitím FJK – algoritmu. Informacní Bulletin Ceské Statistické spolecnosti, 2011, roč. 22, č. 2, s. 71-79. ISSN: 1210-8022.Detail
ŠÁCHA, J.; KARPÍŠEK, Z. Odhad rozdělení pravděpodobnosti s obecnými lineárními podmínkami. Informacní Bulletin Ceské Statistické spolecnosti, 2011, roč. 22, č. 2, s. 192-199. ISSN: 1210-8022.Detail
KARPÍŠEK, Z.; LACINOVÁ, V.; SADOVSKÝ, Z. Metody odhadů parametrů a rozdělení pravděpodobnosti. In Analýza dat 2011/I. Pardubice: TriloByte Pardubice, 2011. s. 105-134. ISBN: 978-80-904053-4-9.Detail
ŠLAPAL, J. Topological structuring of the digital plane. DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE, 2013, vol. 15, no. 2, p. 165-176. ISSN: 1365-8050.Detail
ŠLAPAL, J. Another Jordan Curve Theorem in the topological space (Z^2,w). In Topology Proceedings. Topology Proceedings. Alabama 36849, USA: Auburn University, 2014. p. 47-56. ISSN: 0146-4124.Detail
FRANCŮ, J.; NOVÁČKOVÁ, P.; JANÍČEK, P. Torsion of a Non-circular Bar. Engineering Mechanics, 2012, vol. 19, no. 1, p. 45-60. ISSN: 1802-1484.Detail
NOVOTNÝ, J. Individual tree crowns delineation using local maxima approach and seeded region growing technique. In GIS Ostrava 2011. 2011. p. 49-59. ISBN: 978-80-248-2366-9.Detail
HRDINA, J.; VAŠÍK, P. Generalized geodesics on almost Cliffordian geometries. Balkan Journal of Geometry and Its Applications, 2012, vol. 17 (2012), no. 1, p. 41-48. ISSN: 1224-2780.Detail
ŠLAPAL, J.; LEERATANAVALEE, S.; CHAISANSUK, N. On the stability of some properties of partial algebras under powers. Mathematica Slovaca, 2014, vol. 64, no. 1, p. 1-12. ISSN: 0139-9918.Detail
MAUDER, T.; ŠTĚTINA, J.; ŠANDERA, Č.; KAVIČKA, F.; MASARIK, M. An Optimal Relationship Between Casting Speed and Heat Transfer Coefficients for Continuous Casting Process. In METAL 2011 Conference proceedings. METAL. Ostrava: Tanger, 2011. p. 42-48. ISBN: 978-80-87294-24-6.Detail
MAUDER, T.; ŠANDERA, Č.; ŠTĚTINA, J. A FUZZY-BASED OPTIMAL CONTROL ALGORITHM FOR A CONTINUOUS CASTING PROCESS. Materiali in tehnologije, 2012, vol. 46, no. 4, p. 325-328. ISSN: 1580-2949.Detail
FUSEK, M.; MICHÁLEK, J. Statistical Inference of Doubly Left-Censored Samples from Exponential Distribution. XIX International Conference Problems of Decision Making under Uncertainties. Mukachevo, Ukraine: 2012. p. 23-24.Detail
FUSEK, M.; MICHÁLEK, J. Statistical Analysis of Doubly Left-Censored Samples from Exponential Distribution. In MENDEL 2012, 18th International Conference on Soft Computing. Mendel Journal series. 1. Brno, Czech Republic: Brno University of Technology, 2012. p. 564-569. ISBN: 978-80-214-4540-6. ISSN: 1803-3814.Detail
FUSEK, M.; LÍZAL, F.; JEDELSKÝ, J. Statistical Methods for Airflow Analysis in a Human Airways Model. In MENDEL 2012, 18th International Conference on Soft Computing. Mendel Journal series. 1. Brno, Czech Republic: Brno University of Technology, 2012. p. 445-450. ISBN: 978-80-214-4540-6. ISSN: 1803-3814.Detail
HRABEC, D.; POPELA, P.; NOVOTNÝ, J.; HAUGEN, K.; OLSTAD, A. A Note on the Newsvendor Problem with Pricing. In 18th International Conference of Soft Computing, MENDEL 2012 (id 19255). Mendel Journal series. 2012. Brno: VUT, 2012. p. 410-415. ISBN: 978-80-214-4540-6. ISSN: 1803-3814.Detail
HRABEC, D.; POPELA, P.; NOVOTNÝ, J.; HAUGEN, K.; OLSTAD, A. The Stochastic Network Design Problem with Pricing. In 18th International Conference of Soft Computing, MENDEL 2012 (id 19255). Mendel Journal series. 2012. Brno: VUT, 2012. p. 416-421. ISBN: 978-80-214-4540-6. ISSN: 1803-3814.Detail
ČERMÁK, J.; KISELA, T.; NECHVÁTAL, L. Stability and asymptotic properties of a linear fractional difference equation. Advances in Difference Equations, 2012, vol. 2012, no. 1, p. 1-14. ISSN: 1687-1847.Detail
HABBAL, S.; MORGAN, H.; DRUCKMÜLLER, M.; DING, A.; COOPER, J.; DAW, A.; SITTLER, E. Probing the Fundamental Physics of the Solar Corona with Lunar Solar Occultation Observations. Solar Physics, 2013, vol. 2013 (285), no. 1-2, p. 9-24. ISSN: 0038-0938.Detail
FUSEK, M.; MICHÁLEK, J. Porovnání dvou dvojnásobně zleva cenzorovaných výběrů typu I z Weibullova rozdělení. Forum Statisticum Slovacum, 2012, roč. 8, č. 7, s. 32-36. ISSN: 1336-7420.Detail
FUSEK, M.; MICHÁLEK, J.; ZOUHAR, L.; VÁVROVÁ, M. Statistical Analysis of Musk Compounds Concentrations in Fish Tissue Based on Doubly Left-Censored Samples. In Recent Advances in Energy, Environment and Economic Development. Advances in Mathematical and Computational Methods. Mathematics and Computers in Science and Engineering Series. Paris, France: WSEAS Press, 2012. p. 247-250. ISBN: 978-1-61804-139-5. ISSN: 2227-4588.Detail
ČERMÁK, J.; KISELA, T.; NECHVÁTAL, L. Stability regions for linear fractional differential systems and their discretizations. APPLIED MATHEMATICS AND COMPUTATION, 2013, vol. 219, no. 12, p. 7012-7022. ISSN: 0096-3003.Detail
FUSEK, M.; MICHÁLEK, J. Statistical Inference of Doubly Left-Censored Samples from Weibull Distribution. In XX International Conference PDMU-2012 Problems of Decision Making under Uncertainties Proceedings - Applied Papers. Brno: Publishing office of the University of Defence, 2012. p. 31-40. ISBN: 978-80-7231-897-1.Detail
PRAX, P.; HELLEBRAND, R.; FUSEK, M. Analýza dostupných hydrologických dat pro normu ČSN 75 9010 – Vsakovací zařízení srážkových vod. In Městské vody 2012. 1. Brno: ARDEC, s.r.o., 2012. s. 63-68. ISBN: 978-80-86020-75-4.Detail
ŠLAPAL, J. Adjacencies for structuring the digital plane. Lecture Notes in Computer Science, 2012, vol. 2012, no. 7655, p. 115-127. ISSN: 0302-9743.Detail
MICHÁLEK, J.; FUSEK, M.; HELLEBRAND, R. Srovnání statistických metod odhadů IDF křivek. In Wokshop Adopfa Patery 2012 Extrémní hydrologické jevy v povodích. Brno: 2012. s. 163-170. ISBN: 978-80-02-02423-1.Detail
SEHNALOVÁ, P.; BUTCHER, J. Predictor–corrector Obreshkov pairs. COMPUTING, 2013, vol. 95, no. 5, p. 355-371. ISSN: 0010-485X.Detail
HRDINA, J.; VAŠÍK, P. Semiholonomic second order connections associated to materia bodies. Journal of Applied Mathematics, 2013, vol. 2013, no. 1, p. 1-5. ISSN: 1110-757X.Detail
OPLUŠTIL, Z.; ŠREMR, J. On oscillations of solutions to second-order linear delay differential equations. Georgian Mathematical Journal, 2013, vol. 2013 (20), no. 1, p. 65-94. ISSN: 1072-947X.Detail
KOUTCHMY, S.; BAZIN, C.; BERGHMANS, D.; DE GROOF, A.; DRUCKMÜLLER, M.; TAVABI, E.; ENGELL, A.; FILIPPOV, B.; GOLUB, L.; LAMY, P.; LINKER, J.; MIKIČ, Z.; MOUETTE, J.; NITSCHELM, C.; SEATON, D.; SLEMZIN, V. Plasmoid Ejection at a Solar Total Eclipse. EAS Publications Series, 2012, vol. 2012 ( 55), no. 1, p. 223-226. ISSN: 1633-4760.Detail
ČERMÁK, J.; TOMÁŠEK, P. On delay-dependent stability conditions for a three-term linear difference equation. Funkcialaj Ekvacioj Serio Internacia, 2014, vol. 57, no. 1, p. 91-106. ISSN: 0532-8721.Detail
HRABALOVÁ, J. Stability properties of a discretized neutral delay differential equation. Tatra Mountains Mathematical Publications, 2013, vol. 2013, no. 54, p. 83-92. ISSN: 1210-3195.Detail
HRABALOVÁ, J.; TOMÁŠEK, P. On stability regions of the modified midpoint method for a linear delay differential equation. Advances in Difference Equations, 2013, vol. 2013, no. 177, p. 1-10. ISSN: 1687-1847.Detail
DRUCKMÜLLER, M. A Noise Adaptive Fuzzy Equalization Method for Processing of Extreme Ultraviolet Images SOLAR EXTREME ULTRAVIOLET IMAGES. ASTROPHYSICAL JOURNAL SUPPLEMENT SERIES, 2013, vol. 2013 (207), no. 1, p. 25-29. ISSN: 0067-0049.Detail
HOLEŠOVSKÝ, J.; POPELA, P.; ROUPEC, J. Disruption in Congested Networks. In Proceedings of 19th International Conference on Soft Computing MENDEL 2013. Mendel Journal series. 1st edition. Brno: VUT v Brně, 2013. p. 191-196. ISBN: 978-80-214-4755-4. ISSN: 1803-3814.Detail
TICHÁ, J.; TICHÝ, M.; KOČER, M.; HONKOVÁ, M. KLENOT Project 2002-2008 contribution to NEO astrometric follow-up. METEORITICS & PLANETARY SCIENCE, 2009, vol. 44, no. 12, p. 1889-1895. ISSN: 1086-9379.Detail
TICHÝ, M.; HONKOVÁ, M.; TICHÁ, J.; KOČER, M. From Discovery to Impact - Near Earth Asteroids. Proceedings of the Workshop Geoinformatics FCE CTU 2006, 2012, vol. 2012, no. 8, p. 73-78. ISSN: 1802-2669.Detail
ČERMÁK, J. Some qualitative properties of linear dynamic equations with multiple delays. Advances in Difference Equations, 2013, vol. 2013, no. 2013, p. 1-12. ISSN: 1687-1847.Detail
ČERMÁK, J.; DRAŽKOVÁ, J. On stability regions for some delay differential equations and their discretizations. Periodica Mathematica Hungarica, 2014, vol. 68, no. 2, p. 193-206. ISSN: 0031-5303.Detail
ČERMÁK, J.; JÁNSKÝ, J. On a generalization of the Levin-May Theorem. Carpathian Journal of Mathematics, 2014, vol. 30, no. 1, p. 55-62. ISSN: 1584-2851.Detail
OPLUŠTIL, Z. Solvability of a nonlocal boundary value problem for linear functional differential equations. Advances in Difference Equations, 2013, vol. 2013, no. 1, p. 1-19. ISSN: 1687-1847.Detail
FUSEK, M.; MICHÁLEK, J. Statistical Methods for Analyzing Musk Compounds Concentration based on Doubly Left-Censored Samples. INTERNATIONAL JOURNAL of MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES, 2013, vol. 7, no. 8, p. 755-763. ISSN: 1998-0140.Detail
VAŠÍK, P. Higher order connections on Lie groupoid: application to materials. Miskolc Mathematical Notes, 2013, vol. 14, no. 2, p. 705-711. ISSN: 1787-2405.Detail
HRDINA, J. GEOMETRY OF ALMOST CLIFFORDIAN MANIFOLDS: NIJENHUIS TENSOR. Miskolc Mathematical Notes, 2013, roč. 14, č. 2, s. 583-589. ISSN: 1787-2405.Detail
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.Detail
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.Detail
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.Detail
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.Detail
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.Detail
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.Detail
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.Detail
FRANCŮ, J., ROZEHNALOVÁ, P. Torsion of a Bar with Holes. Engineering Mechanics, 2015, vol. 22, no. 1, p. 3-23. ISSN: 1802-1484.Detail
KUREŠ, M. Dwindlable R-algebras. Mathematics for applications, 2013, vol. 2, no. 2, p. 125-133. ISSN: 1805-3610.Detail
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.Detail
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.Detail
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.Detail
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.Detail
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.Detail
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.Detail
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.Detail
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.Detail
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.Detail
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.Detail
MARTIŠEK, K.; KARPÍŠEK, Z.: Soft. System Fuzzy Reliabilit; System Fuzzy Reliability. Centrum pro jakost a spolehlivost výroby (CQR) - OSO ÚM FSI VUT. URL: http://www.cqr.cz. (software)Detail
NOVOTNÝ, J.; KARPÍŠEK, Z.: Software Shine_bootstrap; Shine_bootstrap. Centrum pro jakost a spolehlivost výroby (CQR) - OSO ÚM FSI VUT v Brně. URL: http://www.cqr.cz. (software)Detail