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National Repository of Grey Literature

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	Interactions of Mg2+ ions with proteins and nucleic acids BEZCHLEBOVÁ, Eva Detailed record
	Numerical solution of nonlinear transport problems Bezchlebová, Eva ; Feistauer, Miloslav (advisor) ; Vlasák, Miloslav (referee) Práce je zaměřená na numerickou simulaci dvoufázového proudění. Je studován matematický model a numerická aproximace toku dvou nemísitelných nestlačitelných tekutin. Rozhraní mezi tekutinami je popsáno pomocí pomocí tzv. level set metody. Představena je diskretizace problému v prostoru a v čase. Metoda konečných prvk· se zpětnou Eulerovou metodou je aplikována na Navierovy-Stokesovy rovnice a časoprostorová nespojitá Galerkinova metoda je použita k řešení transportního problému. D·raz je kladen na analýzu chyby nespojité Galerkinovy metody přímek a časoprostorové nespojité Galerkinovy metody pro transportní problém. Jsou prezentovány numerické výsledky. 1 Detailed record
	Estimations of the remainders of the Lagrange interpolation formula and Newton - Cotes quadrature Bezchlebová, Eva ; Kofroň, Josef (advisor) ; Najzar, Karel (referee) Hlavním tématem práce je zkoumání Newton-Cotesovy kvadratury. V první řadě se budeme zabývat Lagrangeovskou interpolační formulí, ze které zmiňovaná kvadratura vychází. Zde bu- deme klást d·raz na alternativní odhady zbytku této interpolace a její m-té derivace, které nejsou příliš známé. Cílem je odhady uspořádat a provést d·kladné d·kazy získaných výsledk·. Dále se pokusíme najít optimální kvadraturní formuli ve smyslu nejmenšího odhadu chyby, což se budeme snažit ukázat na příkladech, kdy porovnáme námi získanou formuli s jinými známými kvadraturami. V neposlední řadě se zaměříme na samotnou Newton-Cotesovu kvadraturu a to především z hlediska její konvergence, resp. divergence. Uvedené závěry o konvergenci, resp. di- vergenci této kvadratury poté stvrdíme numerickými experimenty, ukazující chování kvadratury pro r·zné třídy funkcí. 1 Detailed record

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3	BEZCHLEBOVÁ, Eva

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