A finite volume scheme with preconditioned Lanczos method for two-dimensional space-fractional reaction–diffusion equations

Fractional differential equations have been increasingly used as a powerful tool to model the non-locality and spatial heterogeneity inherent in many real-world problems. However, a constant challenge faced by researchers in this area is the high computational expense of obtaining numerical solutions of these fractional models, owing to the non-local nature of fractional derivatives. In this paper, we introduce a finite volume scheme with preconditioned Lanczos method as an attractive and high-efficiency approach for solving two-dimensional space-fractional reaction–diffusion equations. The computational heart of this approach is the efficient computation of a matrix-function-vector product f(A)bf(A)b, where A A is the matrix representation of the Laplacian obtained from the finite volume method and is non-symmetric. A key aspect of our proposed approach is that the popular Lanczos method for symmetric matrices is applied to this non-symmetric problem, after a suitable transformation. Furthermore, the convergence of the Lanczos method is greatly improved by incorporating a preconditioner. Our approach is show-cased by solving the fractional Fisher equation including a validation of the solution and an analysis of the behaviour of the model.

What contribution can International Relations make to the evolving global health agenda?

This article presents two approaches that have dominated International Relations in their approach to the international politics of health. The statist approach, which is primarily security-focused, seeks to link health initiatives to a foreign or defence policy remit. The globalist approach, in contrast, seeks to advance health not because of its intrinsic security value but because it advances the well-being and rights of individuals. This article charts the evolution of these approaches and demonstrates why both have the potential to shape our understanding of the evolving global health agenda. It examines how the statist and globalist perspectives have helped shape contemporary initiatives in global health governance and suggests that there is evidence of an emerging convergence between the two perspectives. This convergence is particularly clear in the articulation of a number of UN initiatives in this area—especially the One World, One Health Strategic Framework and the Oslo Ministerial Declaration (2007) which inspired the first UN General Assembly resolution on global health and foreign policy in 2009 and the UN Secretary-General's note ‘Global health and foreign policy: strategic opportunities and challenges'. What remains to be seen is whether this convergence will deliver on securing states’ interest long enough to promote the interests of the individuals who require global efforts to deliver local health improvements.

The Hofstedian approach : suggestions for a conceptual development of comparative journalism studies

In recent years there has been a burgeoning amount of research comparing journalistic practices in a wide range of countries around the world. Much of this literature has tended to focus on identifying what the similarities and differences between these different journalistic cultures are. Most importantly, research has focused on answering the question of whether, particularly in the age of globalisation, ‘a journalistic culture’ may exist. While there has been some evidence that there may indeed be a convergence of journalistic cultures, studies have at the same time found that important differences still persist. However, most of the literature has so far still tended to concentrate purely on the differences and similarities, without examining in detail why these exist. In this context, the author argues that employing a cross-cultural approach rooted in anthropology can at least partially trace the development of particularly the differences by linking them to the wider concept of cultural differences between countries. Specifically the paper here evaluates the usefulness of applying the value systems appraoch, as designed by Dutch anthropologist Geert Hofstede, to journalism research. By examining some of the few studies that have employed Hofstede’s approach, the paper argues that value systems can provide a classification on a conceptual level for investigating how journalism is practiced around the world. In the light of complaints in the Asia-Pacific region that the imported Western models of journalism are not in line with cultural values, this approach can also provide some basis from which to develop future approaches to journalism education.

Weaknesses in the initialisation process of the Common Scrambling Algorithm Stream Cipher

The Common Scrambling Algorithm Stream Cipher (CSASC) is a shift register based stream cipher designed to encrypt digital video broadcast. CSA-SC produces a pseudo-random binary sequence that is used to mask the contents of the transmission. In this paper, we analyse the initialisation process of the CSA-SC keystream generator and demonstrate weaknesses which lead to state convergence, slid pairs and shifted keystreams. As a result, the cipher may be vulnerable to distinguishing attacks, time-memory-data trade-off attacks or slide attacks.

Computational strategies for surface fitting using thin plate spline finite element methods

Thin plate spline finite element methods are used to fit a surface to an irregularly scattered dataset [S. Roberts, M. Hegland, and I. Altas. Approximation of a Thin Plate Spline Smoother using Continuous Piecewise Polynomial Functions. SIAM, 1:208--234, 2003]. The computational bottleneck for this algorithm is the solution of large, ill-conditioned systems of linear equations at each step of a generalised cross validation algorithm. Preconditioning techniques are investigated to accelerate the convergence of the solution of these systems using Krylov subspace methods. The preconditioners under consideration are block diagonal, block triangular and constraint preconditioners [M. Benzi, G. H. Golub, and J. Liesen. Numerical solution of saddle point problems. Acta Numer., 14:1--137, 2005]. The effectiveness of each of these preconditioners is examined on a sample dataset taken from a known surface. From our numerical investigation, constraint preconditioners appear to provide improved convergence for this surface fitting problem compared to block preconditioners.

Antisocial behaviour orders : Unanticipated directions in social network site development

Abstract: Social network technologies, as we know them today have become a popular feature of everyday life for many people. As their name suggests, their underlying premise is to enable people to connect with each other for a variety of purposes. These purposes however, are generally thought of in a positive fashion. Based on a multi-method study of two online environments, Habbo Hotel and Second Life, which incorporate social networking functionality, we she light on forms of what can be conceptualized as antisocial behaviours and the rationales for these. Such behaviours included: scamming, racist/homophobic attacks, sim attacks, avatar attacks, non-conformance to contextual norms, counterfeiting and unneighbourly behaviour. The rationales for sub behaviours included: profit, fun, status building, network disruption, accidental acts and prejudice. Through our analysis we are able to comment upon the difficulties of defining antisocial behaviour in such environments, particularly when such environments are subject to interpretation vis their use and expected norms. We also point to the problems we face in conducting our public and private lives given the role ICTs are playing in the convergence of these two spaces and also the convergence of ICTs themselves.

Convergent Media Policy

This chapter considers the implications of convergence for media policy from three perspectives. First, it discusses what have been the traditional concerns of media policy, and the challenges it faces, from the perspectives of public interest theories, economic capture theories, and capitalist state theories. Second, it looks at what media convergence involves, and some of the dilemmas arising from convergent media policy including: (1) determining who is a media company; (2) regulatory parity between ‘old’ and ‘new’ media; (3) treatment of similar media content across different platforms; (4) distinguishing ‘big media’ from user-created content; and (5) maintaining a distinction between media regulation and censorship of personal communication. Finally, it discusses attempts to reform media policy in light of these changes, including Australian media policy reports from 2011-12 including the Convergence Review, the Finkelstein Review of News Media, and the Australian Law Reform Commission’s National Classification Scheme Review. It concludes by arguing that ‘public interest’ approaches to media policy continue to have validity, even as they grapple with the complex question of how to understand the concept of influence in a convergent media environment.

Adaptive estimation of HMM transition probabilities

This paper presents new schemes for recursive estimation of the state transition probabilities for hidden Markov models (HMM's) via extended least squares (ELS) and recursive state prediction error (RSPE) methods. Local convergence analysis for the proposed RSPE algorithm is shown using the ordinary differential equation (ODE) approach developed for the more familiar recursive output prediction error (RPE) methods. The presented scheme converges and is relatively well conditioned compared with the ...

Labour Law and Labour Market Regulation

The traditional boundaries of labour law are becoming outmoded in a modern world in which active labour market participants vastly outnumber “employees”, and the world of work extends way beyond the workplace gate. There is convergence with labour market regulation. The contract of employment remains central but is no longer the sole object of study.Labour Law and Labour Market Regulation reflects the dramatically different industrial, social, political and legislative contexts in which the law now operates and the intellectual revolution this is generating. Individual chapters contain studies of regulation within prescriptive government schemes, contract networks, specialist labour markets, the intersection between work and family, enterprise policies and practices, and the courts and tribunals. The book provides insights into areas that are, as arbitration declines, becoming increasingly important to their clients' interests. The most recent legislation and jurisprudence is discussed in many chapters including discrimination, dismissals, health and safety, immigration, social security, franchise, volunteer and contract law.

Regulating Occupational Health and Safety in a Changing Labour Market

The traditional boundaries of labour law are becoming outmoded in a modern world in which active labour market participants vastly outnumber “employees”, and the world of work extends way beyond the workplace gate. There is convergence with labour market regulation. The contract of employment remains central but is no longer the sole object of study.

Short-data recursive HMM parameter estimation for rapid vision-based aircraft heading estimation

Rapid recursive estimation of hidden Markov Model (HMM) parameters is important in applications that place an emphasis on the early availability of reasonable estimates (e.g. for change detection) rather than the provision of longer-term asymptotic properties (such as convergence, convergence rate, and consistency). In the context of vision- based aircraft (image-plane) heading estimation, this paper suggests and evaluates the short-data estimation properties of 3 recursive HMM parameter estimation techniques (a recursive maximum likelihood estimator, an online EM HMM estimator, and a relative entropy based estimator). On both simulated and real data, our studies illustrate the feasibility of rapid recursive heading estimation, but also demonstrate the need for careful step-size design of HMM recursive estimation techniques when these techniques are intended for use in applications where short-data behaviour is paramount.