Stability of the Radau IA and Lobatto IIIC methods for neutral delay differential system

AbstractNumerical stability is considered for several Runge–Kutta methods to systems of neutral delay differential equations. The linear stability analysis is adopted to the system. Adapted with the equistage interpolation process as well as the continuous extension, the Runge–Kutta methods are shown to have the numerical stability similar to the analytical asymptotic stability with arbitrary stepsize, when certain assumptions hold for the logarithmic matrix norm on the coefficient matrices of the NDDE system

An Implementable Version of the Sturm's Algorithm for the Number of Zeros of a Real Polynomial

An algorithm is considered to give the number of real zeros of a real polynomial on an interval rather than their precise locations. The Sturm's algorithm is suitable for such problems because it is not uncommon that the polynomial to be treated is in fact over the rational field Q. While the algorithm is implemented through a symbolic and algebraic manipulation (SAM) software on a computer, computational costs make a significant increase as the degree of polynomial increases. The reason lies in the time-consuming reduction of non-reduced fraction to the irreducible one in SAM. The essential information in the Sturm's algorithm is however not the coefficients of polynomials in the Sturm sequence but their signs at point in the interval. From this viewpoint we have reached an improved version of the algorithm, which drastically reduces the costs in comparison with the original Sturm's algorithm. Some numerical examples arising from a problem in mathematics will be shown

The double bind of triple jeopardy : exploring the impact of multiple minority stress on LGBTQ-identified Asian women in America

This study was undertaken to determine the impact of multiple minority stress on LGBTQ-identified Asian women living in America. The research explored how the values of families of origin, communities, and chosen families impact identity negotiations, as well as overall quality of life. The findings of this study were utilized to conceptualize best practices for mental health practitioners around better meeting the needs of individuals experiencing multiple minority stress. One hundred and fifty-two women living in the United States responded to a series of multiple choice and narrative response questions via Internet survey. They were asked questions focusing on demographics, family of origin, Asian community/ies, LGBTQ community/ies, and chosen families. Participants were also asked to fill out responses to the Comprehensive Quality of Life Scale – Adult (ComQol-A5). Results demonstrated that LGBTQ-identified Asian women in America struggle to find communities that are accepting of their multiple, intersecting social identities, as experiences of stigmatization and invisibility were common. Distinct themes in the experienced racism and heterosexism within families of origin, Asian and LGBTQ communities were documented, as were the strengths present in chosen family structures. These strengths were explored as learning tools for the development of best practices in the treatment of multiple minority stress

Day-to-day experiences of amae in Japanese romantic relationships

This is the post-print version of the Article. The official published version can be accessed from the link below - Copyright @ 2011 Wiley-BlackwellThe cultural psychology of romantic relationships is relatively understudied. To redress this lacunae, the present study examined the Japanese concept of 'amae', or the state of expecting a close other's indulgence when one behaves inappropriately, within the day-to-day relationships of 30 Japanese undergraduate romantic couples. For 2 weeks, both partners completed daily diaries that assessed their amae behaviour (requesting, receiving, and providing amae), relationship quality, conflict, and motivation to enhance closeness. Results revealed that amae behaviour was associated with greater relationship quality and less conflict. The motivation to enhance closeness partially mediated the association of amae with relationship quality