Orientador: Marcelo de Carvalho Borba / Resumo: A pesquisa relatada nesta dissertação faz parte do projeto E-licm@t-Tube e teve como objetivo investigar como diferentes fatores influenciaram a maneira como a matemática foi comunicada nos vídeos produzidos pelos licenciandos em matemática em um curso a distância da Universidade Federal do Mato Grosso do Sul. Os participantes da pesquisa foram os estudantes de duas turmas de Estágio Obrigatório III do curso de Licenciatura em Matemática a distância da Universidade Federal do Mato Grosso do Sul. Tal investigação possui uma abordagem qualitativa visto que ela possui caráter descritivo; a fonte dos dados foi o contexto natural desses estudantes dessa modalidade de ensino; foi dada importância aos significados dados pelos sujeitos e às suas ações que estão presentes no vídeo de forma implícita; bem como a análise foi um processo indutivo. Os procedimentos e instrumentos para a produção dos dados foram: observação, atividade de produção dos vídeos, entrevistas semiestruturadas e caderno de campo. No total foram produzidos sete vídeos. Durante a análise dos dados procurou-se identificar ações que não foram expressas diretamente pelos estudantes, mas que revelam conhecimentos implícitos e compreensões dos futuros professores relacionados à matemática e seus processos de ensino e aprendizagem. Para atingir esse fim, foi utilizada uma adaptação do Método Documentário para interpretação de filmes para ter acesso ao conhecimento ateórico dos estudantes que estava implícito nos vídeos. ... (Resumo completo, clicar acesso eletrônico abaixo) / Abstract: The research reported in this dissertation is part of the E-licm@t-Tube project and aimed to investigate how different factors influenced the way mathematics was communicated in videos produced by undergraduate students enrolled in the distance Mathematics Education degree at the Federal University of Mato Grosso do Sul. The participants in the research were students from two classes of Required Internship III. The research employed a qualitative approach since it has a descriptive character; the source of the data was the natural context of these students on this teaching modality; importance was given to the meanings attributed by the subjects and their actions that were shown implicitly on the video; analysis was an inductive process. The procedures and instruments for the production of the data were: observation, video production activity, semi-structured interviews and field notes. A total of seven videos were produced. During the data analysis, we tried to identify actions that weren’t expressed directly by the students, but which revealed implicit knowledge and understandings of the future teachers related to mathematics and its teaching and learning processes. To achieve this goal, an adaptation of the Documentary Method for film interpretation was used to gain access to the atheoretical knowledge of students that was implicit on the videos. Analysis of the data revealed that the way the students communicated the mathematics in the videos is (implicitly or explicitly)... (Complete abstract click electronic access below) / Mestre

Three compositional reservoir simulators have been developed in the Department of Petroleum and Geosystems Engineering at The University of Texas at Austin (UT-Austin): UTCOMP (miscible gas flooding simulator), UTCHEM (chemical flooding simulator), and GPAS (General Purpose Adaptive Simulator). UTCOMP and UTCHEM simulators have been used by various oil companies for solving a variety of field problems. The efficiency and accuracy of each simulator becomes critically important when they are used to solve field problems. In this study, two well-developed solver packages, SAMG and HYPRE, along with existing solvers were compared. Our numerical results showed that SAMG can be an excellent solver for the usage in the three simulators for solving problems with a high accuracy requirement and long simulation times, and BoomerAMG in HYPRE package can also be a good solver for application in the UTCHEM simulator. In order to investigate the flexibility and the efficiency of a partitioned coupling method, the second part of this thesis presents a new implementation using a partition method for a thermal module in an equation-of-state (EOS) compositional simulator, the General Purpose Adaptive Simulator (GPAS) developed at The University of Texas at Austin. The finite difference method (FDM) was used for the solution of governing partial differential equations. Specifically, the new coupled implementation was based on the Schur complement method. For the partition method, two suitable acceleration techniques were constructed. One technique was the optimized choice of preconditioner for the Schur complement; the other was the optimized selection of tolerances for the two solution steps. To validate the implementation, we present simulation examples of hot water injection in an oil reservoir. The numerical comparison between the new implementation and the traditional, fully implicit method showed that the partition method is not only more flexible, but also faster than the classical, fully implicit method for the same test problems without sacrificing accuracy. In conclusion, the new implementation of the partition method is a more flexible and more efficient method for coupling a new module into an existing simulator than the classical, fully implicit method.The third part of this thesis presents another type of coupling method, iterative coupling methods, which has been implemented into GPAS with thermal module, FICM (Fully, Iterative Coupling Method) and GICM (General, Iterative Coupling Method), LICM (Loose, Iterative Coupling Method). The results show that LICM is divergent, and GICM and FICM can work normally. GICM is the fastest among the compared methods, and FICM has a similar efficiency as CFIM (Classic Fully Implicit Method). Although GICM is the fastest method, GICM is less accurate than FICM for in the test cases carried out in this study. / text