Stability and convergence of an implicit numerical method for the non-linear fractional reaction-subdiffusion process

In this paper, we consider the following non-linear fractional reaction–subdiffusion process (NFR-SubDP): Formula where f(u, x, t) is a linear function of u, the function g(u, x, t) satisfies the Lipschitz condition and 0Dt1–{gamma} is the Riemann–Liouville time fractional partial derivative of order 1 – {gamma}. We propose a new computationally efficient numerical technique to simulate the process. Firstly, the NFR-SubDP is decoupled, which is equivalent to solving a non-linear fractional reaction–subdiffusion equation (NFR-SubDE). Secondly, we propose an implicit numerical method to approximate the NFR-SubDE. Thirdly, the stability and convergence of the method are discussed using a new energy method. Finally, some numerical examples are presented to show the application of the present technique. This method and supporting theoretical results can also be applied to fractional integrodifferential equations.

The moderating role of self-efficacy on the relationship between emotional exhaustion and job strain for boundary-spanning service employees

Appropriate behaviours toward customers often requires employees to suppress some genuine emotions and/or express other emotions; genuine or contrived. Managing one's emotions in this way gives rise to emotional exhaustion. This can have consequences for psychological ill health, in the form of work place strain, and ultimately employee's desire to leave. This student examines the relationships between emotional management, emotional exhaustion and turnover intentions amongst diversional therapy professionals. We find that some forms of emotional management have a significant impact on emotional exhaustion and that this predicts workplace strain. Furthermore, the deleterious effects of emotional exhaustion are mitigated somewhat for employees who have strong beliefs in their ability to provide good service, compared to employees with lower self efficacy beliefs.

The role of fluid and emotional intelligence in malingering

The purpose of the present study was to examine the role of fluid (gf), social (SI) and emotional intelligence (EI) in faking the Beck Depression Inventory (2nd ed., BDI-II). Twenty-two students and 26 non-students completed Raven’s Advanced Progressive Matrices (APM), a social insight test, the Schutte et al. self-report EI scale, and the BDI-II under honest and faking instructions. Results were consistent with a new model of successful faking, in which a participant’s original response must be manipulated into a strategic response, which must match diagnostic criteria. As hypothesised, the BDI-II could be faked, and gf was not related to faking ability. Counter to expectations, however, SI and EI were not related to faking ability. A second study explored why EI failed to facilitate faking. Forty-nine students and 50 non-students completed the EI measure, the Marlowe-Crown Scale and the Levenson et al. Psychopathy Scale. As hypothesised, EI was negatively correlated with psychopathy, but EI showed no relationship with socially desirable responding. It was concluded that in the first experiment, high-EI people did fake effectively, but high-psychopathy people (who had low EI) were also faking effectively, resulting in a distribution that showed no advantage to high EI individuals.

Heart versus mind : the functions of emotional and cognitive loyalty

While there is substantial research on attitudinal and behavioral loyalty, the deconstruction of attitudinal loyalty into its two key components – emotional and cognitive loyalty – has been largely ignored. Despite the existence of managerial strategies aimed at increasing each of these two components, there is little academic research to support these managerial efforts. This paper seeks to advance the understanding of emotional and cognitive brand loyalty by examining the psychological function that these dimensions of brand loyalty perform for the consumer. We employ Katz’s (1960) four functions of attitudes (utilitarian, knowledge, value-expression, ego-defence) to investigate this question. Surveys using a convenience sample were completed by 268 consumers in two metropolitan cities on a variety of goods, services and durable products. The relationship between the functions and dimensions of loyalty were examined using MANOVA. The results show that both the utilitarian and knowledge functions of loyalty are significantly positively related to cognitive loyalty while the ego-defensive function of loyalty is significantly positively related to emotional loyalty. The results for the value-expressive function of loyalty were nonsignificant.

Emotional experience with portable interactive devices

This paper reports on a six month longitudinal study exploring people’s personal and social emotional experience with Portable Interactive Devices (PIDs). The study is concerned with the experience design approach and based on the theoretical framework of Activity Theory. The focus is on emotional experiences and how artefacts mediate and potentially enhance this experience. The outcomes of the study identified interesting aspects of PID interaction. Findings revealed people interact with PIDs emotionally both at a personal and a social level, supporting previous studies. Further, the social level impacts significantly on the emotional experience attained. If negative social experiences exceeded negative personal experiences the emotional experience was constant over six months. If negative personal experiences surpassed negative social experiences the emotional experience was varied over six months. The findings are discussed in regards to their significance to the field of design, their implication for future PID design and future research directions.

Resolving painful emotional experience during psychodrama

Unresolved painful emotional experiences such as bereavement, trauma and disturbances in core relationships, are common presenting problems for clients of psychodrama or psychotherapy more generally. Emotional pain is experienced as a shattering of the sense of self and disconnection from others and, when unresolved, produces avoidant responses which inhibit the healing process. There is agreement across therapeutic modalities that exposure to emotional experience can increase the efficacy of therapeutic interventions. Moreno proposes that the activation of spontaneity is the primary curative factor in psychodrama and that healing occurs when the protagonist (client) engages with his or her wider social system and develops greater flexibility in response to that system. An extensive case-report literature describes the application of the psychodrama method in healing unresolved painful emotional experiences, but there is limited empirical research to verify the efficacy of the method or to identify the processes that are linked to therapeutic change. The purpose of this current research was to construct a model of protagonist change processes that could extend psychodrama theory, inform practitioners’ therapeutic decisions and contribute to understanding the common factors in therapeutic change. Four studies investigated protagonist processes linked to in-session resolution of painful emotional experiences. Significant therapeutic events were analysed using recordings and transcripts of psychodrama enactments, protagonist and director recall interviews and a range of process and outcome measures. A preliminary study (3 cases) identified four themes that were associated with helpful therapeutic events: enactment, the working alliance with the director and with group members, emotional release or relief and social atom repair. The second study (7 cases) used Comprehensive Process Analysis (CPA) to construct a model of protagonists’ processes linked to in-session resolution. This model was then validated across four more cases in Study 3. Five meta-processes were identified: (i) a readiness to engage in the psychodrama process; (ii) re-experiencing and insight; (iii) activating resourcefulness; (iv) social atom repair with emotional release and (v) integration. Social atom repair with emotional release involved deeply experiencing a wished-for interpersonal experience accompanied by a free flowing release of previously restricted emotion and was most clearly linked to protagonists’ reports of reaching resolution and to post session improvements in interpersonal relationships and sense of self. Acceptance of self in the moment increased protagonists’ capacity to generate new responses within each meta-process and, in resolved cases, there was evidence of spontaneity developing over time. The fourth study tested Greenberg’s allowing and accepting painful emotional experience model as an alternative explanation of protagonist change. The findings of this study suggested that while the process of allowing emotional pain was present in resolved cases, Greenberg’s model was not sufficient to explain the processes that lead to in-session resolution. The protagonist’s readiness to engage and activation of resourcefulness appear to facilitate the transition from problem identification to emotional release. Furthermore, experiencing a reparative relationship was found to be central to the healing process. This research verifies that there can be in-session resolution of painful emotional experience during psychodrama and protagonists’ reports suggest that in-session resolution can heal the damage to the sense of self and the interpersonal disconnection that are associated with unresolved emotional pain. A model of protagonist change processes has been constructed that challenges the view of psychodrama as a primarily cathartic therapy, by locating the therapeutic experience of emotional release within the development of new role relationships. The five meta-processes which are described within the model suggest broad change principles which can assist practitioners to make sense of events as they unfold and guide their clinical decision making in the moment. Each meta-process was linked to specific post-session changes, so that the model can inform the development of therapeutic plans for individual clients and can aid communication for practitioners when a psychodrama intervention is used for a specific therapeutic purpose within a comprehensive program of therapy.

The emotional manipulation-psychopathy nexus : relationships with emotional intelligence, alexithymia, and ethical position

This research examined for the first time the relationship between emotional manipulation, emotional intelligence, and primary and secondary psychopathy. As predicted, in Study 1 (N = 73), emotional manipulation was related to both primary and secondary psychopathy. Only secondary psychopathy was related to perceived poor emotional skills. Secondary psychopathy was also related to emotional concealment. Emotional intelligence was negatively related to perceived poor emotional skills, emotional concealment, and primary and secondary psychopathy. In Study 2 (N = 275), two additional variables were included: alexithymia and ethical position. It was found that for males, primary psychopathy and emotional intelligence predicted emotional manipulation, while for females emotional intelligence acted as a suppressor, and ethical idealism and secondary psychopathy were additional predictors. For males, emotional intelligence and alexithymia were related to perceived poor emotional skills, while for females emotional intelligence, but not alexithymia, predicted perceived poor emotional skills, with ethical idealism acting as a suppressor. For both males and females, alexithymia predicted emotional concealment. These findings suggest that the mechanisms behind the emotional manipulation–psychopathy relationship differ as a function of gender. Examining the different aspects of emotional manipulation as separate but related constructs may enhance understanding of the construct of emotional manipulation.

Teachers and the emotional dimensions of class in resource-affected rural Australia

In recent years, a 'cultural turn' in the study of class has resulted in a rich body of work detailing the ways in which class advantage and disadvantage are emotionally inscribed and embodied in educational settings. To date, however, much of this literature has focused on the urban sphere. In order to address this gap in the literature, this paper focuses on the affective evaluations made by teachers employed in rural and remote Australian schools of students' families, bodies, expectations and practices. The central argument is that moral ascriptions of class by the teachers are powerfully shaped by dominant socio-cultural constructions of rurality that equate 'the rural' with agriculture.

The experience of emotional expression in the context of social relations for people diagnosed with schizophrenia : a phenomenological explication

The experience of emotional expression in the context of social relations is not well understood for people diagnosed with schizophrenia. Early phenomenological research on the experience of people diagnosed with schizophrenia traditionally focussed on self experience in isolation from others, with later research explicating isolated aspects of self experience in relation to others. The current research aimed to focus on the progressive experience of emotional expression of people diagnosed with schizophrenia in relation to others over 12 months, in order to gain a broad spectrum of experience. This study involved unstructured interviews with 7 participants, an average of 4 times each, over a period of 12 months. Due to the unstructured nature of the interviews, a great breadth of experience was explicated. From the interviews there emerged 6 themes grouped together as a transition into, and 5 themes grouped together as a recovery from, symptoms associated with a diagnosis of schizophrenia. Special significance was given to the theme of relational confusion as an experience that provides an understanding of the relationship between social stressors and personal characteristics with responses that are associated with a diagnosis of schizophrenia. It was suggested that participants experienced themselves, including their distancing and isolating responses, as a part of a social system. The breadth of experiences that emerged afforded a framework of experiences within which prior phenomenological research findings on static moments of experience have been located. A more meaningful understanding of the transitioning into and recovery from the experiences associated with a diagnosis of schizophrenia will afford advances in mental health practice.

Who needs it? An exploratory investigation into the reaction of small and medium enterprises to mobile data technologies

The technological environment in which contemporary small and medium-sized enterprises (SMEs) operate can only be described as dynamic. The seemingly exponential nature of technological change, characterised by perceived increases in the benefits associated with various technologies, shortening product life cycles and changing standards, provides for the small and medium-sized enterprise a complex and challenging operational context. The development of infrastructures capable of supporting the Wireless Application Protocol (WAP)and associated 'wireless' applications represents the latest generation of technological innovation with potential appeal to SMEs and end-users alike. The primary aim of this research was to understand the mobile data technology needs of SMEs in a regional setting. The research was especially concerned with perceived needs across three market segments; non-adopters of new technology, partial-adopters of new technology and full-adopters of new technology. Working with an industry partner, focus groups were conducted with each of these segments with the discussions focused on the use of the latest WP products and services. Some of the results are presented in this paper.

Nonlinear control of the Reaction Wheel Pendulum

In this paper we introduce the Reaction Wheel Pendulum, a novel mechanical system consisting of a physical pendulum with a rotating bob. This system has several attractive features both from a pedagogical standpoint and from a research standpoint. From a pedagogical standpoint, the dynamics are the simplest among the various pendulum experiments available so that the system can be introduced to students earlier in their education. At the same time, the system is nonlinear and underactuated so that it can be used as a benchmark experiment to study recent advanced methodologies in nonlinear control, such as feedback linearization, passivity methods, backstepping and hybrid control. In this paper we discuss two control approaches for the problems of swingup and balance, namely, feedback linearization and passivity based control. We first show that the system is locally feedback linearizable by a local diffeomorphism in state space and nonlinear feedback. We compare the feedback linearization control with a linear pole-placement control for the problem of balancing the pendulum about the inverted position. For the swingup problem we discuss an energy approach based on collocated partial feedback linearization, and passivity of the resulting zero dynamics. A hybrid/switching control strategy is used to switch between the swingup and the balance control. Experimental results are presented.

Indigenous men's support groups and social and emotional wellbeing : a meta-synthesis of the evidence

Indigenous men’s support groups are designed to empower men to take greater control and responsibility for their health and wellbeing. They provide health education sessions, counselling, men’s health clinics, diversionary programs for men facing criminal charges, cultural activities, drug- and alcohol-free social events, and advocacy for resources. Despite there being ~100 such groups across Australia, there is a dearth of literature on their strategies and outcomes. This paper is based on participatory action research involving two north Queensland groups which were the subject of a series of five ‘phased’ evaluative reports between 2002 and 2007. By applying ‘meta-ethnography’ to the five studies, we identified four themes which provide new interpretations of the data. Self-reported benefits included improved social and emotional wellbeing, modest lifestyle modifications and willingness to change current notions of ‘gendered’ roles within the home, such as sharing housework. Our qualitative research to date suggests that through promoting empowerment, wellbeing and social cohesion for men and their families, men’s support groups may be saving costs through reduced expenditure on health care, welfare, and criminal justice costs, and higher earnings. Future research needs to demonstrate this empirically.