Numerical techniques for the variable order time fractional diffusion equation

In this paper we consider the variable order time fractional diffusion equation. We adopt the Coimbra variable order (VO) time fractional operator, which defines a consistent method for VO differentiation of physical variables. The Coimbra variable order fractional operator also can be viewed as a Caputo-type definition. Although this definition is the most appropriate definition having fundamental characteristics that are desirable for physical modeling, numerical methods for fractional partial differential equations using this definition have not yet appeared in the literature. Here an approximate scheme is first proposed. The stability, convergence and solvability of this numerical scheme are discussed via the technique of Fourier analysis. Numerical examples are provided to show that the numerical method is computationally efficient. Crown Copyright © 2012 Published by Elsevier Inc. All rights reserved.

Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain

Multi-term time-fractional differential equations have been used for describing important physical phenomena. However, studies of the multi-term time-fractional partial differential equations with three kinds of nonhomogeneous boundary conditions are still limited. In this paper, a method of separating variables is used to solve the multi-term time-fractional diffusion-wave equation and the multi-term time-fractional diffusion equation in a finite domain. In the two equations, the time-fractional derivative is defined in the Caputo sense. We discuss and derive the analytical solutions of the two equations with three kinds of nonhomogeneous boundary conditions, namely, Dirichlet, Neumann and Robin conditions, respectively.

Capping computation time and storage requirements for appearance-based localization with CAT-SLAM

Appearance-based localization is increasingly used for loop closure detection in metric SLAM systems. Since it relies only upon the appearance-based similarity between images from two locations, it can perform loop closure regardless of accumulated metric error. However, the computation time and memory requirements of current appearance-based methods scale linearly not only with the size of the environment but also with the operation time of the platform. These properties impose severe restrictions on longterm autonomy for mobile robots, as loop closure performance will inevitably degrade with increased operation time. We present a set of improvements to the appearance-based SLAM algorithm CAT-SLAM to constrain computation scaling and memory usage with minimal degradation in performance over time. The appearance-based comparison stage is accelerated by exploiting properties of the particle observation update, and nodes in the continuous trajectory map are removed according to minimal information loss criteria. We demonstrate constant time and space loop closure detection in a large urban environment with recall performance exceeding FAB-MAP by a factor of 3 at 100% precision, and investigate the minimum computational and memory requirements for maintaining mapping performance.

Managing Work, Hedonism and 'the Borderline' Between the Legal and Illegal Markets: Two Case Studies of Recreational Heavy Drug Users

In the context of cultural and/or differential ‘normalisation’ of certain forms of drug use, this article describes two case-studies of heavy recreational drug users. The daily lives of these users blur the line between the legal and the illegal; their drug trading is generally as a consumer and ‘friend of a friend’ small dealer in the low-level market. In the first case, problems with management of employment, time and financial budgeting are described; in the second case, such management is accomplished. Discussion refers to: differences between the two in relation to resources and vulnerability to risks, and to leisure/pleasure cultures of hedonism. The research agenda should pay more attention to users who seek to maintain a legitimate lifestyle but who develop problems managing work and their drug-related leisure. Understanding the consumer demand and dealing activity of such users is important in trying to develop a fuller understanding of drug markets.

Men, wage work and family

In the last two decades there has been a plethora of research on a range of subjects collectively and rhetorically known as ‘work-life balance’. The bulk of this research, which spans disciplines including feminist sociology, industrial relations and management, has focused on the significant concerns of employed women and/or dual career couples. Less attention has been devoted to scholarship which explicitly examines men and masculinities in this context. Meanwhile, public and organizational discourse is largely espoused in gender neutral terms, often neglecting salient gendered issues which differentially impact the ability of women and men to successfully integrate their work and non-work lives. This edited book brings together empirical studies of the work-life nexus with a specific focus on men’s working time arrangements, how men navigate and traverse paid work and family commitments, and the impact of public and organizational policies on men’s participation in work, leisure, and other life domains. The book is innovative in that it presents both macro (institutional, how policy affects practice) and micro (individual, from men’s own perspectives) level studies, allowing for a rich and contrasting exploration of how men’s participation in paid work and other domains is divided, conflicted, or integrated. The essays in this volume address issues of fundamental social, labor market, and economic change which have occurred over the last 20 years and which have profoundly affected the way work, care, leisure and community have evolved in different contexts. Taking an international focus, Men, Wage Work and Family contrasts various public and organizational policies and how these policies impact men’s opportunities and participation in paid work and non-work domains in industrialised countries in Europe, North America, and Australia.

What health problems overcrowd hospital emergency departments in Queensland and has this changed over time? A case study of two hospitals in Queensland 2001 - 2009

Aim: to describe what health problems patients attending emergency department with and whether this changed over time. Methods: Electronic data was retrieved from EDIS (Emergency Department Information System) and HBCIS (Hospital Based Clinical Information System) in two hospitals in Queensland in the period 2001-2009. The ICD-10 code of patient's diagnosis was then extrapolated and then group into ICD-10 chapters, such that the health problem can be presented. Results: Among the specific health problems, Chapter XIX 'Injury and poisoning' ranked number one consistently (ranging from 22.1% to 31.2% of the total presentations) in both the urban and remote hospitals in Queensland. The top ten specific presenting health problems in both the urban and remote hospital include Chapter XI 'Digestive system', Chapter XIV 'Genitourinary system', Chapter IX 'Circulatory system', and Chapter XIII 'Musculoskeletal system and connective tissue'. Chapter X 'Respiratory system' made the top ten presenting Chapters in both hospitals, but ranked much higher (number four consistently for the eight years, ranging from 6.8% to 8.3%) in the remote hospital. Chapter XV 'Pregnancy childbirth and puerperium' made to the top ten in the urban hospital only while Chapter XII 'Skin and subcutaneous tissue', Chapter I 'Infectious and parasitic diseases' made the top ten in the remote hospital only. Conclusion: The number one health problem presenting to both the urban and remote hospitals in Queensland is Chapter XIX 'Injury and poisoning', and it did not change in the period 211 - 2009.