Technologies on Behalf of the Dentistry Dissemination in Pandemic Times: An Interinstitutional Experience

The COVID-19 pandemic persists despite the ongoing mass immunization campaign, and there is a long journey ahead until effective control of the situation. In Brazil, telemedicine has grown widely. After the initial adaptation process during the first pandemic year, remote teaching and teleconsultation/ telemonitoring have consolidated such technology. By definition, telemedicine means the use of information technology to improve health care by approximating professionals and patients in distant locations. However, despite the acceptance in several health areas, dentists have rejected this new approach, claiming that telemedicine lacks the power to attract patients’ attention. To refute wrongly conceived theories and demonstrate the effectiveness of these resources, we described our experiences concerning dental and multidisciplinary residency education in two states (Sergipe and Paraíba) in the northeast region of Brazil, one of the most affected by the pandemic

Finite-difference methods : concepts and interpretation

Orientador: Ricardo Caetano Azevedo BilotiDissertação (mestrado profissional) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação CientificaResumo: O presente trabalho aborda os métodos de diferenças finitas com suas propriedades e aplicações. Iniciamos com uma revisão histórica, destacando alguns matemáticos que participaram do desenvolvimento da teoria de métodos de diferenças. Em seguida, apresentamos alguns modelos matemáticos compostos por equações diferenciais. Através da equação de advecção, estudamos métodos de diferenças explícitos, com especial enfoque para as propriedades de erro de truncamento, consistência, estabilidade e convergência dando ênfase ao Teorema de Lax. Estudamos a análise de Fourier e a condição de von Neumann para interpretar a amplitude, a dissipação e a dispersão das soluções numéricas. Abordamos os métodos Upwind, de Lax-Friedrichs e de Lax-Wendroff. Por fim, exemplificamos numericamente os conceitos e propriedades estudados com comparações entre os métodos, aplicados em um problema teste.Abstract: The present work approaches finite-difference methods, their properties, and their applications. We present a historical review, including some mathematieians who participated in the development of the theory of differences. Furthermore, we present some mathematical models consisting of differential equatiolls. Through the advection equationl, we study explicit finite-difference methods, detailing their truncation error, consistency, stability and conlvergence properties. We employ Fourier analysis and the von Neumann condition to study the amplitude, dissipation and dispersion of numerical solutions. We compare three methods: Upwind, Lax-Friedrichs and Lax-Wendroff. Finally, we perform numerical tests to illustrate the concepts and properties studied in this work.MestradoAnalise NumericaMestre em Matemátic