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Analysis of Methods of Differences for Partial Differential Equations Solving
Zpěváková, Jana ; Zbořil, František (referee) ; Šátek, Václav (advisor)
In this thesis, we discuss the numerical solution of ordinary differential equation and numerical methods of solving partial differential equations. We propose and implement an application, that converts partial differential hyperbolic equation to a set of ordinary differential equations using finite difference method. After that, the system of equations is solved using the Taylor method programmed in Matlab environment. Finally, we compare the time complexity of proposed solution with parallel numerical computation.
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Analysis of Methods of Differences for Partial Differential Equations Solving
Zpěváková, Jana ; Zbořil, František (referee) ; Šátek, Václav (advisor)
In this thesis, we discuss the numerical solution of ordinary differential equation and numerical methods of solving partial differential equations. We propose and implement an application, that converts partial differential hyperbolic equation to a set of ordinary differential equations using finite difference method. After that, the system of equations is solved using the Taylor method programmed in Matlab environment. Finally, we compare the time complexity of proposed solution with parallel numerical computation.
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Combined methods Remediation of groundwater by combination of sodium lactate and zero valent nanoiron
Stejskal, Vojtěch ; Bruthans, Jiří (advisor) ; Černík, Miroslav (referee)
Vojtěch Stejskal - Diplomová práce 2014 - Přírodovědecká fakulta UK v Praze 4 ABSTRACT The thesis describes pilot applications of combined method - combination of sodium lactate and nanoparticles of zero-valent iron and their synergic effect. Two applications of combined method are described onto two geologically different sites - in Rožmitál pod Třemšínem and Spolchemie in Ústí nad Labem. First site is contaminated by polychlorinated biphenyls; contamination is situated in hydraulically well conducted porous media formed by weathered granodiorite. Main contaminants of Spolchemie site are trichloroethylene and tetrachloroethylene, contamination is situated in geologically heterogenous quaternary terrace of Bílina river. Effects of combined method on two different sites were compared and recommendations and conclusions were done. Part of the thesis is research of scientific articles and literature on topics: polychlorinated biphenyls, chlorinated ethylenes, in situ chemical reduction by sodium lactate and nanoiron, natural conditions of both sites, history of sites. In the thesis are also processed and evaluated results of geophysical investigation, changes of groundwater level and results of groundwater monitoring in view of the application of combined method on both sites.
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