Numerical solution of stiff ordinary differential equations using collocation methods /

Bibliography: p. 79-80.

Analysis of trigonometric implicit Runge-Kutta methods

Using generalized collocation techniques based on fitting functions that are trigonometric (rather than algebraic as in classical integrators), we develop a new class of multistage, one-step, variable stepsize, and variable coefficients implicit Runge-Kutta methods to solve oscillatory ODE problems. The coefficients of the methods are functions of the frequency and the stepsize. We refer to this class as trigonometric implicit Runge-Kutta (TIRK) methods. They integrate an equation exactly if its solution is a trigonometric polynomial with a known frequency. We characterize the order and A-stability of the methods and establish results similar to that of classical algebraic collocation RK methods. (c) 2006 Elsevier B.V. All rights reserved.

Offering fragile X syndrome carrier screening: a prospective mixed-methods observational study comparing carrier screening of pregnant and non-pregnant women in the general population

Article focus
▪ This article is a protocol of a study that involves offering fragile X syndrome carrier screening to pregnant and non-pregnant women in the general population. We are undertaking a programme evaluation approach using mixed methods to collect data about informed decisionmaking and predictors of test uptake, with a focus on psychosocial measures. We are also undertaking an economic appraisal.

Likelihood prediction for generalized linear mixed models under covariate uncertainty

This paper presents the techniques of likelihood prediction for the generalized linear mixed models. Methods of likelihood prediction is explained through a series of examples; from a classical one to more complicated ones. The examples show, in simple cases, that the likelihood prediction (LP) coincides with already known best frequentist practice such as the best linear unbiased predictor. The paper outlines a way to deal with the covariate uncertainty while producing predictive inference. Using a Poisson error-in-variable generalized linear model, it has been shown that in complicated cases LP produces better results than already know methods.

On functionally-fitted Runge-Kutta methods

Functionally-fitted methods are generalizations of collocation techniques to integrate an equation exactly if its solution is a linear combination of a chosen set of basis functions. When these basis functions are chosen as the power functions, we recover classical algebraic collocation methods. This paper shows that functionally-fitted methods can be derived with less restrictive conditions than previously stated in the literature, and that other related results can be derived in a much more elegant way. The novelty in our approach is to fully retain the collocation framework without reverting back into derivations based on cumbersome Taylor series expansions.

Optimisation of digitally coded test vectors for mixed-signal components

International audience

The evolving emotional experience with portable interactive devices

Emotions play a significant role in people’s lives, including interactions with portable devices. The research aimed to understand the evolving emotional experience between people and portable interactive devices (PIDs). Activity Theory was the theoretical framework used to contextualise the research approach and findings. Two longitudinal experiments were conducted investigating emotional experiences with PIDs over six months. Experiment 1 focused on media / entertainment PIDs while Experiment 2 focused on medical / health PIDs. Mixed research methods consisting of diaries, interviews and codiscovery sessions were used to collect data. Results identified that more social interactions were experienced with media PIDs than medical PIDs. Different Task Categories, and their emotional responses, were also revealed including Features, Functional, Mediation and Auxiliary Categories. Functional and Mediation categories were characterised as overall positive while Features and Auxiliary Categories were characterised as overall negative. Further, the consequences of Negative Personal and Social interactions on the overall emotional experience were determined. For media PIDs, Negative Social experiences adversely impacted the evolving emotional experience. For medical PIDs, both Negative Social and Negative Personal experiences adversely impacted the evolving emotional experience. As a result of the findings the Designing for Evolving Emotional Experience framework was developed, outlining principles to promote positive, and avoid negative, emotional experiences with PIDs. Contributions to knowledge from the research include methodological contributions, advancing understanding of emotional experiences with PIDs, expanding the taxonomy of emotional interactions with PIDs and broadening emotion design theory and principles. The thesis concludes with an outline of implications to design research, design and related fields, future research potentials, as well as the positive contributions to designing for meaningful and enjoyable experiences in everyday life.

Knowledge inquiry in the construction management domain through structured research process and methodology

Construction works are project-based and interdisciplinary. Many construction management (CM) problems are ill defined. The knowledge required to address such problems is not readily available and mostly tacit in nature. Moreover, the researchers, especially the students in the higher education, often face difficulty in defining the research problem, adopting an appropriate research process and methodology for designing and validating their research. This paper describes a ‘Horseshoe’ research process approach and its application to address a research problem of extracting construction-relevant information from a building information model (BIM). It describes the different steps of the process for understanding a problem, formulating appropriate research question/s, defining different research tasks, including a methodology for developing, implementing and validating the research. It is argued that a structure research approach and the use of mixed research methods would provide a sound basis for research design and validation in order to make contribution to existing knowledge.

Modal stability theory

This article contains a review of modal stability theory. It covers local stability analysis of parallel flows including temporal stability, spatial stability, phase velocity, group velocity, spatio-temporal stability, the linearized Navier-Stokes equations, the Orr-Sommerfeld equation, the Rayleigh equation, the Briggs-Bers criterion, Poiseuille flow, free shear flows, and secondary modal instability. It also covers the parabolized stability equation (PSE), temporal and spatial biglobal theory, 2D eigenvalue problems, 3D eigenvalue problems, spectral collocation methods, and other numerical solution methods. Computer codes are provided for tutorials described in the article. These tutorials cover the main topics of the article and can be adapted to form the basis of research codes. Copyright © 2014 by ASME.

Market-oriented new product development of functional beverages

Strategic reviews of the Irish Food and Beverage Industry have consistently emphasised the need for food and beverage firms to improve their innovation and marketing capabilities, in order to maintain competitiveness in both domestic and overseas markets. In particular, the functional food and beverages market has been singled out as an extremely important emerging market, which Irish firms could benefit from through an increased technological and market orientation. Although health and wellness have been the most significant drivers of new product development (NPD) in recent years, failure rates for new functional foods and beverages have been reportedly high. In that context, researchers in the US, UK, Denmark and Ireland have reported a marked divergence between NPD practices within food and beverage firms and normative advice for successful product development. The high reported failure rates for new functional foods and beverages suggest a failure to manage customer knowledge effectively, as well as a lack of knowledge management between functional disciplines involved in the NPD process. This research explored the concept of managing customer knowledge at the early stages of the NPD process, and applied it to the development of a range of functional beverages, through the use of advanced concept optimisation research techniques, which provided for a more market-oriented approach to new food product development. A sequential exploratory research design strategy using mixed research methods was chosen for this study. First, the qualitative element of this research investigated customers’ choice motives for orange juice and soft drinks, and explored their attitudes and perceptions towards a range of new functional beverage concepts through a combination of 15 in-depth interviews and 3 focus groups. Second, the quantitative element of this research consisted of 3 conjoint-based questionnaires administered to 400 different customers in each study in order to model their purchase preferences for chilled nutrient-enriched and probiotic orange juices, and stimulant soft drinks. The in-depth interviews identified the key product design attributes that influenced customers’ choice motives for orange juice. The focus group discussions revealed that groups of customers were negative towards the addition of certain functional ingredients to natural foods and beverages. K-means cluster analysis was used to quantitatively identify segments of customers with similar preferences for chilled nutrient-enriched and probiotic orange juices, and stimulant soft drinks. Overall, advanced concept optimisation research methods facilitate the integration of the customer at the early stages of the NPD process, which promotes a multi-disciplinary approach to new food product design. This research illustrated how advanced concept optimisation research methods could contribute towards effective and efficient knowledge management in the new food product development process.

A study of singular integral operators with shift

Nesta tese, consideram-se operadores integrais singulares com a acção extra de um operador de deslocacamento de Carleman e com coeficientes em diferentes classes de funções essencialmente limitadas. Nomeadamente, funções contínuas por troços, funções quase-periódicas e funções possuíndo factorização generalizada. Nos casos dos operadores integrais singulares com deslocamento dado pelo operador de reflexão ou pelo operador de salto no círculo unitário complexo, obtêm-se critérios para a propriedade de Fredholm. Para os coeficientes contínuos, uma fórmula do índice de Fredholm é apresentada. Estes resultados são consequência das relações de equivalência explícitas entre aqueles operadores e alguns operadores adicionais, tais como o operador integral singular, operadores de Toeplitz e operadores de Toeplitz mais Hankel. Além disso, as relações de equivalência permitem-nos obter um critério de invertibilidade e fórmulas para os inversos laterais dos operadores iniciais com coeficientes factorizáveis. Adicionalmente, aplicamos técnicas de análise numérica, tais como métodos de colocação de polinómios, para o estudo da dimensão do núcleo dos dois tipos de operadores integrais singulares com coeficientes contínuos por troços. Esta abordagem permite também a computação do inverso no sentido Moore-Penrose dos operadores principais. Para operadores integrais singulares com operadores de deslocamento do tipo Carleman preservando a orientação e com funções contínuas como coeficientes, são obtidos limites superiores da dimensão do núcleo. Tal é implementado utilizando algumas estimativas e com a ajuda de relações (explícitas) de equivalência entre operadores. Focamos ainda a nossa atenção na resolução e nas soluções de uma classe de equações integrais singulares com deslocamento que não pode ser reduzida a um problema de valor de fronteira binomial. De forma a atingir os objectivos propostos, foram utilizadas projecções complementares e identidades entre operadores. Desta forma, as equações em estudo são associadas a sistemas de equações integrais singulares. Estes sistemas são depois analisados utilizando um problema de valor de fronteira de Riemann. Este procedimento tem como consequência a construção das soluções das equações iniciais a partir das soluções de problemas de valor de fronteira de Riemann. Motivados por uma grande diversidade de aplicações, estendemos a definição de operador integral de Cauchy para espaços de Lebesgue sobre grupos topológicos. Assim, são investigadas as condições de invertibilidade dos operadores integrais neste contexto.

A controlled clinical trial on the effects of motor intervention on balance and cognition in institutionalized elderly patients with dementia

Purpose: To analyse the effects of two interventions on the cognition and balance of institutionalized elderly people with mixed dementia.Methods: Fifty-four participants were allocated into three groups. Group 1 was assisted by an interdisciplinary programme comprising physiotherapy, occupational therapy and physical education. A physiotherapist alone carried out the intervention in group 2. Group 3 was considered as control. Assessors were blinded to guarantee the absence of bias. Cognitive functions were analysed with the Mini-Mental State Examination and the Brief Cognitive Screening Battery. Balance was assessed with the Berg Balance Scale and the Timed Get-Up-and-Go Test. Multiple analysis of variance (MANOVA) was used to test possible main effects of the interventions.Results: The results showed benefits on the balance of subjects in both groups 1 (F=3.9, P < 0.05) and 2 (F= 3.1, P < 0.05), compared with group 3. MANOVA did not indicate benefits on the cognitive functions between groups 1 and 3 (F= 1.1, P > 0.05) and groups 2 and 3 (F= 1.6, P > 0.05). However, univariate analysis indicated some benefits of the interdisciplinary intervention on two specific domains measured by the Brief Cognitive Screening Battery (F=26.5, P < 0.05; F= 4.4, P < 0.05).Conclusion: Six months of multidisciplinary or physiotherapeutic intervention were able to improve a person's balance. Although global cognition did not improve through treatment, when the intervention was carried out on a multidisciplinary basis we observed an attenuation in the decline of global cognition on two specific cognitive domains. Exercises applied in different contexts may have positive outcomes for people with dementia.

Efeitos dentoesqueléticos produzidos pelo aparelho de Herbst na dentadura mista

OBJETIVO: o objetivo desta pesquisa clínica prospectiva foi avaliar as alterações cefalométricas dentárias e esqueléticas produzidas pelo aparelho de Herbst em jovens com má oclusão de Classe II, 1ª divisão durante a dentadura mista. METODOLOGIA: trinta jovens (15 do gênero masculino e 15 do feminino) com idade média inicial de 9 anos e 10 meses foram tratados com o aparelho de Herbst por um período de 12 meses. Para a comparação dos grupos utilizou-se uma amostra controle de 30 jovens (15 do gênero masculino e 15 do feminino) Classe II, 1ª divisão, com idade média inicial de 9 anos e 8 meses, que foram mantidos sem tratamento durante 12 meses. Para cada jovem foram utilizadas duas telerradiografias em norma lateral, obtidas ao início e no final do período de acompanhamento. Utilizou-se um método convencional de avaliação cefalométrica e o método proposto por Pancherz. RESULTADOS E CONCLUSÕES: os resultados deste estudo demonstraram que os efeitos do aparelho de Herbst produzidos na dentadura mista foram primariamente de natureza dentoalveolar. Os incisivos inferiores foram inclinados para vestibular e os superiores foram retruídos; também houve uma extrusão significante dos molares inferiores, enquanto os superiores sofreram restrição de desenvolvimento no sentido vertical. Não houve diferença significante de restrição do crescimento anterior da maxila entre os dois grupos. No sentido vertical da face, a altura facial ântero-inferior se comportou de forma similar, não demonstrando alteração significante entre os grupos. O tratamento com o aparelho de Herbst produziu um aumento modesto, porém, significante no comprimento da mandíbula comparado ao grupo controle. Este aumento, entretanto, foi de menor magnitude que aquele observado em pacientes adolescentes utilizando o mesmo protocolo de tratamento. A correção do overjet (Herbst) ocorreu devido a 22% de alterações esqueléticas e 78% de alterações dentárias. A correção da relação molar ocorreu devido a 27% de alterações esqueléticas e 73% de alterações dentárias.

Uso das rotações de givens modificadas como um método direto para obtenção e atualização das soluções em sistemas com acumulação seqüencial de dados

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Propensity score matching approach to test the association of income inequality and mortality in Sao Paulo, Brazil

Background Support for the adverse effect of high income inequality on population health has come from studies that focus on larger areas, such as the US states, while studies at smaller geographical areas (eg, neighbourhoods) have found mixed results. Methods We used propensity score matching to examine the relationship between income inequality and mortality rates across 96 neighbourhoods (distritos) of the municipality of Sao Paulo, Brazil. Results Prior to matching, higher income inequality distritos (Gini >= 0.25) had slightly lower overall mortality rates (2.23 per 10 000, 95% CI -23.92 to 19.46) compared to lower income inequality areas (Gini <0.25). After propensity score matching, higher inequality was associated with a statistically significant higher mortality rate (41.58 per 10 000, 95% CI 8.85 to 73.3). Conclusion In Sao Paulo, the more egalitarian communities are among some of the poorest, with the worst health profiles. Propensity score matching was used to avoid inappropriate comparisons between the health status of unequal (but wealthy) neighbourhoods versus equal (but poor) neighbourhoods. Our methods suggest that, with proper accounting of heterogeneity between areas, income inequality is associated with worse population health in Sao Paulo.