This master project is dedicated to the analysis of one of the nancialmarket models in an illiquid market. This is a nonlinear model. Using analytical methods we studied the symmetry properties of theequation which described the given model. We called this equation aSchonbucher-Wilmott equation or the main equation. We have foundinnitesimal generators of the Lie algebra, containing the informationabout the symmetry group admitted by the main equation. We foundthat there could be dierent types of the unknown function g, whichwas located in the main equation, in particular four types which admitsricher symmetry group. According to the type of the function gthe equation was split up into four PDEs with the dierent Lie algebrasin each case. Using the generators we studied the structure ofthe Lie algebras and found optimal systems of subalgebras. Then weused the optimal systems for dierent reductions of the PDE equationsto some ODEs. Obtained ODEs were easier to solve than the correspondingPDE. Thereafter we proceeded to the solution of the desiredSchonbucher-Wilmott equation. In the project we were guided by thepapers of Bank, Baum [1] and Schonbucher, Wilmott [2]. In these twopapers authors introduced distinct approaches of the analysis of thenonlinear model - stochastic and dierential ones. Both approaches leadunder some additional assumptions to the same nonlinear equation - the main equation.

The phenomenon dropwise condensation on a horizontal gold coated tube is investigated by both analytical and experimental methods in this study. A computer program is prepared to calculate the dropwise condensation heat transfer rate on the horizontal gold coated tube. An experimental setup was also manufactured to measure the dropwise condensation heat transfer rate. The effects of flow rate, temperature of cooling water and also steam to wall temperature difference have been analytically investigated by using Mathcad computer program. Experiments were carried out at different inlet temperatures of cooling water. Effects of cooling water at different flow rates are also experimentally investigated. Results of the experiments are compared to those of the literature and the analytical results.

Made available in DSpace on 2016-12-08T17:06:49Z (GMT). No. of bitstreams: 1 GuilhermeAmaral.pdf: 1069383 bytes, checksum: 90737d6eb4d20ddb945386e0043ee085 (MD5) Previous issue date: 2009-03-31 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior / This dissertation presents a study of the works Brasil 2000 Op.12, Amanduá and Meio Bossa for piano solo, of the composer Dimitri Cervo (Santa Maria, 1968). The focus of the research was to realize an analytical study of compositional procedures and, based on this study, to present technique-interpretive criteria and suggestions to be applied during the preparation of the mentioned work. Both the criteria and the suggestions of instrumental realization were prepared considering elements of musical construction and the sound result expected by the interpreter. Having in mind that, in the chosen work, there are compositional resources of minimalist and postminimalism nature, like the huge amount of ostinatos and repetitive musical patterns, those, if studied in the wrong way, can favor the appearance of muscle damage and other discomforts that prejudice, the interpreter s health and still more the sound result. Based on these observations, strategies were organized to optimize the process of study in specific situations of execution. In order to reach this objective, recent bibliographies and research about pianistic technique that have the adaptation of the body movement to the resolution of musical questions were consulted, like the Movement Cycles (PÓVOAS, 1999), a resource of flexibilization of the movement and discussed concepts related to it that were applied to the execution of Brasil 2000, Amanduá and Meio Bossa. Contributions about the application of the study and analytical research in the musical-instrumental practice were also related to this work. In the beginning biographical data about the composer and general aspects about his journey and his compositional esthetics are presented. In the sequence the compositional procedures that are more used in the present works are identified and analyzed and the criteria with technique-interpretive suggestions that can be used as an orientation during the preparation and execution of them are proposed. It is expected that this piece of research can contribute to the literature related to musical analysis as a tool for the interpretive practice. This research can integrate the list of more recent research in the sub-area of interpretive practice, utilizing concepts that relate the analysis of compositional elements to the pianistic technique, aiming at the interpretation of national composers cotemporaneous work. The interpretive decisions and criteria presented here can be adopted in the pedagogical practice of these and other works that present similar characteristics to the ones studied here / Esta dissertação apresenta um estudo das obras Brasil 2000 Op.12, Amanduá e Meio Bossa para piano solo, do compositor Dimitri Cervo (Santa Maria, 1968). O foco da pesquisa foi realizar um estudo analítico de procedimentos composicionais e, com base neste estudo, apresentar critérios técnico-interpretativos e sugestões a serem aplicadas durante a preparação das mencionadas obras. Tanto os critérios quanto as sugestões de realização instrumental foram feitas considerando-se elementos de construção musical e o resultado sonoro pretendido pelo intérprete. Tendo em vista que, nas obras selecionadas, encontram-se recursos composicionais de natureza minimalista e pós-minimalista, tais como a grande quantidade de ostinatos e padrões musicais repetitivos, estes, se estudados de maneira incorreta, podem favorecer ao aparecimento de lesões musculares e outros desconfortos que prejudicam, além da saúde do intérprete, sobretudo o resultado sonoro. A partir desta observação foram organizadas estratégias com vistas à otimização do processo de estudo em situações específicas de execução. Para este fim, foram consultadas bibliografias e pesquisas mais recentes sobre técnica pianística que têm como foco a adequação do movimento corporal à resolução de questões musicais, tais como os Ciclos de Movimentos (PÓVOAS, 1999), um recurso de flexibilização do movimento e discutidos preceitos relacionados que foram aplicados à realização de Brasil 2000, Amanduá e Meio Bossa. Também foram relacionadas contribuições sobre o emprego do estudo e pesquisa analítica na prática músico-instrumental. Inicialmente são apresentados dados biográficos sobre o compositor e aspectos gerais sobre sua trajetória e sua estética composicional. Na seqüência encontram-se identificados e analisados procedimentos composicionais mais utilizados nas obras em destaque e os critérios com sugestões técnico-interpretativas que poderão servir de orientação durante a sua preparação e execução são propostos. Com esta pesquisa pretende-se contribuir para a literatura relacionada à análise musical como ferramenta para a prática interpretativa. Esta pesquisa poderá integrar o rol de pesquisas mais recentes na subárea das práticas interpretativas, utilizando-se de conceitos que relacionam a análise de elementos composicionais à técnica pianística objetivando a interpretação de obras contemporâneas de compositores nacionais. As decisões interpretativas e critérios aqui apresentados poderão ser adotados na prática pedagógica destas e demais obras que apresentem características semelhantes àquelas aqui estudadas

Strengthening of reinforced columns confining by modern composite materials is effective method, allows quickly realized strengthening, without increase dimension of strengthening columns. Just like using reinforcing bars, is the mainly assumption for this method the multi-axis state tension and deducing confining pressure, which will increase strength of concrete. Improved of properties of confining concrete can be determined by using relationships, but there are considerably differences. This diploma theses, dealing with strengthening of circular reinforced columns confinement by external FRP fabric, compared approaches to design of reinforced concrete by confining and using the results of an analytical and numerical study to describe problem of confining concrete and compare factors influencing the final properties of the wrapped concrete.