Optimal exponent heat balance and refined integral methods applied to Stefan problems

When using a polynomial approximating function the most contentious aspect of the Heat Balance Integral Method is the choice of power of the highest order term. In this paper we employ a method recently developed for thermal problems, where the exponent is determined during the solution process, to analyse Stefan problems. This is achieved by minimising an error function. The solution requires no knowledge of an exact solution and generally produces significantly better results than all previous HBI models. The method is illustrated by first applying it to standard thermal problems. A Stefan problem with an analytical solution is then discussed and results compared to the approximate solution. An ablation problem is also analysed and results compared against a numerical solution. In both examples the agreement is excellent. A Stefan problem where the boundary temperature increases exponentially is analysed. This highlights the difficulties that can be encountered with a time dependent boundary condition. Finally, melting with a time-dependent flux is briefly analysed without applying analytical or numerical results to assess the accuracy.

Efficacité du counseling d'orientation: impacts de l'alliance de travail et du contexte psychosocial

La problématique centrale de cette thèse de doctorat est l'efficacité de l'accompagnement à l'orientation. Elle renvoie en particulier à la multiplicité des types d'interventions ainsi qu'aux tensions entre les finalités de l'orientation qui rendent improbable une mesure univoque et objective de l'efficacité des pratiques. Le «mythe » de l'efficacité trouve notamment sa source dans le persistent monopole du modèle de l'appariement qui a largement influencé le développement de la discipline. Le manuscrit est basé sur deux études empiriques. Premièrement, « voies professionnelles » est une étude longitudinale visant l'évaluation de l'efficacité d'un service de counseling d'orientation au travers de mesures intraindividuelles. Les résultats immédiats (pre-post) indiquent une forte diminution de l'indécision vocationnelle des consultants ainsi qu'une augmentation de leur bien-être. Les résultats longitudinaux sur un an indiquent une évolution positive des difficultés plus ancrées ainsi qu'un fort taux d'implémentation des projets professionnels. La qualité de l'alliance de travail démontre un impact positif sur l'efficacité de la démarche. Deuxièmement, l'étude « orientation et genre » a permis de mettre en évidence un effet d'interaction entre le sexe et le niveau scolaire d'élèves en fin de scolarité sur leurs profils d'intérêts professionnels. Ce résultat affecte en particulier les jeunes filles dans une filière à exigences élémentaires car ces deux identités psychosociales semblent restreindre doublement les options professionnelles envisageables. Les deux études ont permis de soulever cinq implications centrales : (1) La distinction entre les aspects cognitifs et émotionnels de l'indécision vocationnelle est importante. En particulier, la préparation au choix est un construit qui nécessite clarification ; (2) Les processus de transitions professionnelles ainsi que leur accompagnement doivent être considérés dans leur dimension temporelle ; (3) L'interconnexion des différentes sphères de vie est centrale dans les processus d'orientation et leur accompagnement ; (4) L'efficacité du conseil en orientation est affectée par la qualité des aspects relationnels ; (5) La complexité des pratiques et de leurs finalités confronte l'orientation à son rôle envers des identités psychosociales fragilisées. - The central issue of this doctoral thesis is the effectiveness of career counseling and guidance. In particular, this refers to the many types of career interventions as well as the tensions between their objectives. Those aspects make it unlikely to get an unambiguous and objective measure of the effectiveness of career practices. The "myth of efficiency" is particularly rooted in the persistent monopoly of person-environment fit models, which greatly influenced the development of the discipline. This manuscript is based on two empirical studies. First, "career paths" is a longitudinal study looking at the effectiveness of a career counseling service through intraindividual measures. Pre-post impacts showed a significant decrease in clients' vocational indecision as well as a moderate increase in their well-being. The one year-longitudinal results highlighted significant decreases in more constant decision-making difficulties with a high proportion of clients having implemented their professional projects. The quality of the working alliance had a positive impact on the effectiveness of the intervention. The second study, "vocational development and gender" highlighted an interaction effect between late schoolchildren's gender and school level on their professional interests profile. This result particularly affected girls at a low school level, because these psychosocial identities were a double restraint in restricting career options. The two studies raised five central implications: (1) The distinction between cognitive and emotional aspects of vocational indecision is important. In particular, readiness to make a choice is a construct that requires clarification; (2) career transitions processes as well as supporting these transitions, should be considered in their temporal dimension (3) the interconnection of different spheres of life is central to vocational development and career guidance and counseling; (4) the effectiveness of career counseling is affected by the quality of the relational aspects in the intervention; (5) and the complexity of career interventions and their objectives forces practitioners to consider their role and responsibilities towards clients with marginalized psychosocial identities.

Stabilized Petrov-Galerkin methods for the convection-diffusion-reaction and the Helmholtz equations

We present two new stabilized high-resolution numerical methods for the convection–diffusion–reaction (CDR) and the Helmholtz equations respectively. The work embarks upon a priori analysis of some consistency recovery procedures for some stabilization methods belonging to the Petrov–Galerkin framework. It was found that the use of some standard practices (e.g. M-Matrices theory) for the design of essentially non-oscillatory numerical methods is not feasible when consistency recovery methods are employed. Hence, with respect to convective stabilization, such recovery methods are not preferred. Next, we present the design of a high-resolution Petrov–Galerkin (HRPG) method for the 1D CDR problem. The problem is studied from a fresh point of view, including practical implications on the formulation of the maximum principle, M-Matrices theory, monotonicity and total variation diminishing (TVD) finite volume schemes. The current method is next in line to earlier methods that may be viewed as an upwinding plus a discontinuity-capturing operator. Finally, some remarks are made on the extension of the HRPG method to multidimensions. Next, we present a new numerical scheme for the Helmholtz equation resulting in quasi-exact solutions. The focus is on the approximation of the solution to the Helmholtz equation in the interior of the domain using compact stencils. Piecewise linear/bilinear polynomial interpolation are considered on a structured mesh/grid. The only a priori requirement is to provide a mesh/grid resolution of at least eight elements per wavelength. No stabilization parameters are involved in the definition of the scheme. The scheme consists of taking the average of the equation stencils obtained by the standard Galerkin finite element method and the classical finite difference method. Dispersion analysis in 1D and 2D illustrate the quasi-exact properties of this scheme. Finally, some remarks are made on the extension of the scheme to unstructured meshes by designing a method within the Petrov–Galerkin framework.

Monads in double categories

We extend the basic concepts of Street's formal theory of monads from the setting of 2-categories to that of double categories. In particular, we introduce the double category Mnd(C) of monads in a double category C and dene what it means for a double category to admit the construction of free monads. Our main theorem shows that, under some mild conditions, a double category that is a framed bicategory admits the construction of free monads if its horizontal 2-category does. We apply this result to obtain double adjunctions which extend the adjunction between graphs and categories and the adjunction between polynomial endofunctors and polynomial monads.

Estudi de la reformació amb vapor de biocombustibles per a l'obtenció d'hidrogen utilitzant suports estructurats ceràmics funcionalitzats

Donada una aplicació racional en una varietat complexa, Bellon i Viallet van definit l’entropia algebraica d’aquesta aplicació i van provar que aquest valor és un invariant biracional. Un invariant biracional equivalent és el grau asimptòtic, grau dinàmic o complexitat, definit per Boukraa i Maillard. Aquesta noció és propera a la complexitat definida per Arnold. Conjecturalment, el grau asimptòtic satisfà una recurrència lineal amb coeficients enters. Aquesta conjectura ha estat provada en el cas polinòmic en el pla afí complex per Favre i Jonsson i resta oberta en per al cas projectiu global i per al cas local. L’estudi de l’arbre valoratiu de Favre i Jonsson ha resultat clau per resoldre la conjectura en el cas polinòmic en el pla afí complex. El beneficiari ha estudiat l’arbre valoratiu global de Favre i Jonsson i ha reinterpretat algunes nocions i resultats des d’un punt de vista més geomètric. Així mateix, ha estudiat la demostració de la conjectura de Bellon – Viallet en el cas polinòmic en el pla afí complex com a primer pas per trobar una demostració en el cas local i projectiu global en estudis futurs. El projecte inclou un estudi detallat de l'arbre valoratiu global des d'un punt de vista geomètric i els primers passos de la demostració de la conjectura de Bellon - Viallet en el cas polinòmic en el pla afí complex que van efectuar Favre i Jonsson.

Aspectes geomètrics i dinàmics de transformacions racionals planes

Donada una aplicació racional en una varietat complexa, Bellon i Viallet van definit l’entropia algebraica d’aquesta aplicació i van provar que aquest valor és un invariant biracional. Un invariant biracional equivalent és el grau asimptòtic, grau dinàmic o complexitat, definit per Boukraa i Maillard. Aquesta noció és propera a la complexitat definida per Arnold. Conjecturalment, el grau asimptòtic satisfà una recurrència lineal amb coeficients enters. Aquesta conjectura ha estat provada en el cas polinòmic en el pla afí complex per Favre i Jonsson i resta oberta en per al cas projectiu global i per al cas local. L’estudi de l’arbre valoratiu de Favre i Jonsson ha resultat clau per resoldre la conjectura en el cas polinòmic en el pla afí complex. El beneficiari ha estudiat l’arbre valoratiu global de Favre i Jonsson i ha reinterpretat algunes nocions i resultats des d’un punt de vista més geomètric. Així mateix, ha estudiat la demostració de la conjectura de Bellon – Viallet en el cas polinòmic en el pla afí complex com a primer pas per trobar una demostració en el cas local i projectiu global en estudis futurs. El projecte inclou un estudi detallat de l'arbre valoratiu global des d'un punt de vista geomètric i els primers passos de la demostració de la conjectura de Bellon - Viallet en el cas polinòmic en el pla afí complex que van efectuar Favre i Jonsson.

Las nuevas tecnologías en la circulación de los discursos literarios y artísticos

La acelerada invención de nuevos hardware y software van modificando, casi diariamente, la percepción del mundo, y, por lo tanto, la producción cultural, permeabilizando conceptos como arte-literatura, cuadro-libro, imagen-texto. Si bien estas parejas han sido siempre objeto del discurso teórico, la discusión asume hoy una urgencia creciente al momento que las nuevas tecnologías exponen lo que estaba refugiado en el reino de la teoría. La misma forma de comprender la realidad se ve afectada por la inmediatez de estos medios. La investigación analiza la obra de diferentes autores de los nuevos medios que trabajan en torno a la problemática de la representación de la memoria en esta perspectiva contemporánea. El trabajo de investigación desarrollado en la Tesis Doctoral se centra en la forma de representación de la memoria, así como esta planteada en la obra de Chris Marker. Interesan especialmente los últimos dispositivos creados por el autor en el marco de las llamadas nuevas tecnologías y los nuevos espacios de exposición de cine. El proyecto propone un análisis en torno a la memoria que dichos discursos sugieren a través de los temas que les son propios: archivo, identidades culturales, contribución del espectador, base de datos y tratamiento tecnológico de la información. Se ha seleccionado la obra de Chris Marker por las características de realización y de discurso que permiten una amplia discusión sobre las llamadas nuevas tecnologías y el mundo que éstas representan en el nuevo espacio híbrido construido entre las artes visuales, la literatura y la tecnología.

Improving the accuracy of heat balance integral methods applied to thermal problems with time dependent boundary conditions

In this paper the two main drawbacks of the heat balance integral methods are examined. Firstly we investigate the choice of approximating function. For a standard polynomial form it is shown that combining the Heat Balance and Refined Integral methods to determine the power of the highest order term will either lead to the same, or more often, greatly improved accuracy on standard methods. Secondly we examine thermal problems with a time-dependent boundary condition. In doing so we develop a logarithmic approximating function. This new function allows us to model moving peaks in the temperature profile, a feature that previous heat balance methods cannot capture. If the boundary temperature varies so that at some time t & 0 it equals the far-field temperature, then standard methods predict that the temperature is everywhere at this constant value. The new method predicts the correct behaviour. It is also shown that this function provides even more accurate results, when coupled with the new CIM, than the polynomial profile. Analysis primarily focuses on a specified constant boundary temperature and is then extended to constant flux, Newton cooling and time dependent boundary conditions.

Strong isomorphism reductions in complexity theory

We give the first systematic study of strong isomorphism reductions, a notion of reduction more appropriate than polynomial time reduction when, for example, comparing the computational complexity of the isomorphim problem for different classes of structures. We show that the partial ordering of its degrees is quite rich. We analyze its relationship to a further type of reduction between classes of structures based on purely comparing for every n the number of nonisomorphic structures of cardinality at most n in both classes. Furthermore, in a more general setting we address the question of the existence of a maximal element in the partial ordering of the degrees.

Consistency and optimality

Assume that the problem Qo is not solvable in polynomial time. For theories T containing a sufficiently rich part of true arithmetic we characterize T U {ConT} as the minimal extension of T proving for some algorithm that it decides Qo as fast as any algorithm B with the property that T proves that B decides Qo. Here, ConT claims the consistency of T. Moreover, we characterize problems with an optimal algorithm in terms of arithmetical theories.

Approximation algorithms for two-state anti-ferromagnetic spin systems on bounded degree graphs

In a seminal paper [10], Weitz gave a deterministic fully polynomial approximation scheme for counting exponentially weighted independent sets (which is the same as approximating the partition function of the hard-core model from statistical physics) in graphs of degree at most d, up to the critical activity for the uniqueness of the Gibbs measure on the innite d-regular tree. ore recently Sly [8] (see also [1]) showed that this is optimal in the sense that if here is an FPRAS for the hard-core partition function on graphs of maximum egree d for activities larger than the critical activity on the innite d-regular ree then NP = RP. In this paper we extend Weitz's approach to derive a deterministic fully polynomial approximation scheme for the partition function of general two-state anti-ferromagnetic spin systems on graphs of maximum degree d, up to the corresponding critical point on the d-regular tree. The main ingredient of our result is a proof that for two-state anti-ferromagnetic spin systems on the d-regular tree, weak spatial mixing implies strong spatial mixing. his in turn uses a message-decay argument which extends a similar approach proposed recently for the hard-core model by Restrepo et al [7] to the case of general two-state anti-ferromagnetic spin systems.

Educational pathways of minority youth in Norway: intersections of gender, ethnicity and social class

Educational aspirations during lower secondary school and choice of upper secondary education are important for young people’s future trajectories into higher education and labour market positions. In line with ideas about reflexive, autonomous individuals (Giddens, 1991), choice of education is often represented as a young person’ individual decision, and educational guidance as aimed at discovering what ‘fits’ an individual’s personality, interests and abilities. Educational aspirations and choices are also social patterns that are reproduced. Some population categories represent exceptions from expected patterns of social reproduction of educational level and professions. In several countries, one such category is young people from families with migration experiences (Lauglo, 2000; Modood, 2004). In Norway, students have a legal right to non-compulsory upper secondary schooling and 96 percent of the students continue from lower to upper secondary school. In spite of positive developments regarding minority youths’ completion of upper secondary and higher education in later years, studies still persistently show lower educational attainment among minority youth, particularly among boys (Fekjaer, 2006). However, in lower secondary school, minor ity youth tend to have markedly higher educational aspirations and stronger learning motivation than their majority peers, as well as greater effort in school and strong adherence to school values (Lauglo, 2000) despite lower educational attainment or lower socio-economic backgrounds. In addition, gender differences in educational aspirations seem to be smaller among minority youth. The principal objective of the study in progress that will be presented in this paper, is to describe how processes relating to gendered, ethnic and class-based identities influence young people’s educational choices. The study is undertaken as a PhD project in social anthropology. The methodological approach is ethnographic longitudinal fieldwork in two multicultural lower secondary schools in Oslo. The study is part of a larger project that also include quantitative analyses of longitudinal data covering 9th graders in Oslo 2006 through four data collections during lower and upper secondary school.

Qui ens porta els regals nadalencs? : Una construcció cultural d'Europa a partir dels éssers de Nadal a Itàlia, Catalunya i Alemanya

És un fet que la globalització defineix i articula les nostres societats. El present treball neix amb la voluntat de cercar com i què la fa avançar en l'àmbit cultural, però també amb el desig d'aprofundir en aquests elements tradicionals que defineixen les particulars identitats culturals regionals, fruit d'una diversitat que també participa en el procés global de construcció cultural europeu.

ARCHITECTING USER-CENTRIC PRIVACY-AS-A-SET-OF-SERVICES: DIGITAL IDENTITY RELATED PRIVACY FRAMEWORK

AbstractDigitalization gives to the Internet the power by allowing several virtual representations of reality, including that of identity. We leave an increasingly digital footprint in cyberspace and this situation puts our identity at high risks. Privacy is a right and fundamental social value that could play a key role as a medium to secure digital identities. Identity functionality is increasingly delivered as sets of services, rather than monolithic applications. So, an identity layer in which identity and privacy management services are loosely coupled, publicly hosted and available to on-demand calls could be more realistic and an acceptable situation. Identity and privacy should be interoperable and distributed through the adoption of service-orientation and implementation based on open standards (technical interoperability). Ihe objective of this project is to provide a way to implement interoperable user-centric digital identity-related privacy to respond to the need of distributed nature of federated identity systems. It is recognized that technical initiatives, emerging standards and protocols are not enough to guarantee resolution for the concerns surrounding a multi-facets and complex issue of identity and privacy. For this reason they should be apprehended within a global perspective through an integrated and a multidisciplinary approach. The approach dictates that privacy law, policies, regulations and technologies are to be crafted together from the start, rather than attaching it to digital identity after the fact. Thus, we draw Digital Identity-Related Privacy (DigldeRP) requirements from global, domestic and business-specific privacy policies. The requirements take shape of business interoperability. We suggest a layered implementation framework (DigldeRP framework) in accordance to model-driven architecture (MDA) approach that would help organizations' security team to turn business interoperability into technical interoperability in the form of a set of services that could accommodate Service-Oriented Architecture (SOA): Privacy-as-a-set-of- services (PaaSS) system. DigldeRP Framework will serve as a basis for vital understanding between business management and technical managers on digital identity related privacy initiatives. The layered DigldeRP framework presents five practical layers as an ordered sequence as a basis of DigldeRP project roadmap, however, in practice, there is an iterative process to assure that each layer supports effectively and enforces requirements of the adjacent ones. Each layer is composed by a set of blocks, which determine a roadmap that security team could follow to successfully implement PaaSS. Several blocks' descriptions are based on OMG SoaML modeling language and BPMN processes description. We identified, designed and implemented seven services that form PaaSS and described their consumption. PaaSS Java QEE project), WSDL, and XSD codes are given and explained.