Adams-Type Methods for the Numerical Solution of Stochastic Ordinary Differential Equations

Stochastic differential equations (SDEs) arise fi om physical systems where the parameters describing the system can only be estimated or are subject to noise. There has been much work done recently on developing numerical methods for solving SDEs. This paper will focus on stability issues and variable stepsize implementation techniques for numerically solving SDEs effectively. (C) 2000 Elsevier Science B.V. All rights reserved.

A bound on the maximum strong order of stochastic Runge-Kutta methods for stochastic ordinary differential equations

In Burrage and Burrage [1] it was shown that by introducing a very general formulation for stochastic Runge-Kutta methods, the previous strong order barrier of order one could be broken without having to use higher derivative terms. In particular, methods of strong order 1.5 were developed in which a Stratonovich integral of order one and one of order two were present in the formulation. In this present paper, general order results are proven about the maximum attainable strong order of these stochastic Runge-Kutta methods (SRKs) in terms of the order of the Stratonovich integrals appearing in the Runge-Kutta formulation. In particular, it will be shown that if an s-stage SRK contains Stratonovich integrals up to order p then the strong order of the SRK cannot exceed min{(p + 1)/2, (s - 1)/2), p greater than or equal to 2, s greater than or equal to 3 or 1 if p = 1.

A state-aware RFID privacy model with reader corruption

A number of security models have been proposed for RFID systems. Recent studies show that current models tend to be limited in the number of properties they capture. Consequently, models are commonly unable to distinguish between protocols with regard to finer privacy properties. This paper proposes a privacy model that introduces previously unavailable expressions of privacy. Based on the well-studied notion of indistinguishability, the model also strives to be simpler, easier to use, and more intuitive compared to previous models.

A flexible solid-state pulsed power topology

Advances in solid-state switches and power electronics techniques have led to the development of compact, efficient and more reliable pulsed power systems. This paper proposes an efficient scheme that utilizes modular switch-capacitor units in obtaining high voltage levels with fast rise time (dv/dt) using low voltage solid-state switches. The proposed pulsed power supply has flexibility in terms of controlling energy and generating broad range of voltage levels. The energy flow can be controlled as the stored energy can be adjusted by a current source utilized at the first stage of the system. Desirable voltage level can be obtained by connecting adequate number of switch-capacitor units. Moreover, the proposed topology is load independent. Therefore it can easily supply wide range of applications especially the low impedance ones. The effectiveness of the proposed approach is verified by simulations

Leadership for creating a thinking school at Buranda State School

This article explores the role of principal leadership in creating a thinking school. It contributes to the school leadership literature by exploring the intersection of two important areas of study in education - school leadership and education for thinking - which is a particularly apt area of study, because effective school leadership is crucial if students are to learn to be critical and creative thinkers, yet this connection has not be widely investigated. We describe how one principal, Hinton, turned around an underperforming school by using critical and creative philosophical thinking as the focus for students, staff and parents. Then, drawing on the school leadership literature, the article describes seven attributes of school leadership beginning with four articulated by Leithwood and colleagues (2006) (building vision and setting direction; redesigning the organisation; understanding and developing people; managing the teaching and learning program), and adding three others (influence; self-development; and responding to context). This framework is then used in a case study format in a collaboration between practitioner and researchers to first explore evidence from empirical studies and personal reflection about Hinton's leadership of Buranda State School, and second to illuminate how these general features of school leadership apply to creating a thinking school. Based on the case study and using the general characteristics of school leadership, a framework for leading a thinking school is described. Because the framework is based on a turnaround school, this framework has wide applicability: to schools that are doing well as an indication of how to implement a contemporary approach to curriculum and pedagogy; and to schools that are underperforming and want a rigorous, high expectation and contemporary way to improve student learning.

A state-aware RFID privacy model with reader corruption

A number of security models have been proposed for RFID systems. Recent studies show that current models tend to be limited in the number of properties they capture. Consequently, models are commonly unable to distinguish between protocols with regard to finer privacy properties. This paper proposes a privacy model that introduces previously unavailable expressions of privacy. Based on the well-studied notion of indistinguishability, the model also strives to be simpler, easier to use, and more intuitive compared to previous models.

Efficient solution of multiple cracks in great number using eigen COD boundary integral equations with iteration procedure

A newly developed computational approach is proposed in the paper for the analysis of multiple crack problems based on the eigen crack opening displacement (COD) boundary integral equations. The eigen COD particularly refers to a crack in an infinite domain under fictitious traction acting on the crack surface. With the concept of eigen COD, the multiple cracks in great number can be solved by using the conventional displacement discontinuity boundary integral equations in an iterative fashion with a small size of system matrix to determine all the unknown CODs step by step. To deal with the interactions among cracks for multiple crack problems, all cracks in the problem are divided into two groups, namely the adjacent group and the far-field group, according to the distance to the current crack in consideration. The adjacent group contains cracks with relatively small distances but strong effects to the current crack, while the others, the cracks of far-field group are composed of those with relatively large distances. Correspondingly, the eigen COD of the current crack is computed in two parts. The first part is computed by using the fictitious tractions of adjacent cracks via the local Eshelby matrix derived from the traction boundary integral equations in discretized form, while the second part is computed by using those of far-field cracks so that the high computational efficiency can be achieved in the proposed approach. The numerical results of the proposed approach are compared not only with those using the dual boundary integral equations (D-BIE) and the BIE with numerical Green's functions (NGF) but also with those of the analytical solutions in literature. The effectiveness and the efficiency of the proposed approach is verified. Numerical examples are provided for the stress intensity factors of cracks, up to several thousands in number, in both the finite and infinite plates.

State asset management reform in Indonesia : a wicked problem

Efficient state asset management is crucial for government departments that rely on the operations of their state assets in order to fulfil their public functions, which include public service provision and others. These assets may be expensive, extensive and or, complex, and can have a major impact on the ability of governments to perform its function over extended periods. Various governments around the world have increasingly recognised the importance of an efficient state asset management laws, policies, and practices; exemplified by the surge in state asset management reform. This phenomenon is evident in Indonesia, in particular through the establishment of the Directorate General of State Assets in 2006, who was appointed as the ultimate state asset manager (of Republic of Indonesia) and the proprietor of state asset management reform. The Directorate General of State Assets too has pledged its adherence to good governance principles within its state asset management laws and policies reform. However the degree that good governance principles are conceptualised is unknown, resulting in questions of how and to what extent is good governance principles evident within Indonesia's reformed state asset management laws and policies. This study seeks to understand the level of which good governance principles are conceptualised and understood within reformed state asset management policies in Indonesia (as a case study), and identify the variables that play a role in the implementation of said reform. Although good governance improvements has been a central tenet in Indonesian government agenda, and state asset management reform has propelled in priority due to found neglect and unfavourable audit results; there is ambiguity in regards to the extent that good governance is conceptualised within the reform, how and whether this relationship is understood by state asset managers (i.e government officials), and what (and how) other variables play a supporting and/or impeding role in the reform. Using empirical data involving a sample of four Indonesian regional governments and 70 interviews; discrepancy in which good governance principles are conceptualised, the level it is conceptualised, at which stage of state asset management practice it is conceptualised, and the level it is understood by state asset managers (i.e government officials) was found. Human resource capacity and capability, the notion of 'needing more time', low legality, infancy of reform, and dysfunctional sense of stewardship are identified as specific impeding variables to state asset management reform; whilst decentralisation and regional autonomy regime, political history, and culture play a consistent undercurrent key role in good governance related reforms within Indonesia. This study offers insights to Indonesian policy makers interested in ensuring the conceptualisation and full implementation of good governance in all areas of governing, particularly within state asset management practices. Most importantly, this study identifies an asymmetry in good governance understanding, perspective, and assumptions between policy maker (i.e high level government officials) and policy implementers (i.e low level government officials); to be taken into account for future policy evolvements and/or writing. As such, this study suggests the need for a modified perspective and approach to good governance conceptualisation and implementation strategies, one that acknowledges and incorporates a nation's unique characteristics and no longer denies the double-edged sword of simplified assumptions of governance.

Efficient solution of two-sided nonlinear space-fractional diffusion equations using fast Poisson preconditioners

We develop a fast Poisson preconditioner for the efficient numerical solution of a class of two-sided nonlinear space fractional diffusion equations in one and two dimensions using the method of lines. Using the shifted Gr¨unwald finite difference formulas to approximate the two-sided(i.e. the left and right Riemann-Liouville) fractional derivatives, the resulting semi-discrete nonlinear systems have dense Jacobian matrices owing to the non-local property of fractional derivatives. We employ a modern initial value problem solver utilising backward differentiation formulas and Jacobian-free Newton-Krylov methods to solve these systems. For efficient performance of the Jacobianfree Newton-Krylov method it is essential to apply an effective preconditioner to accelerate the convergence of the linear iterative solver. The key contribution of our work is to generalise the fast Poisson preconditioner, widely used for integer-order diffusion equations, so that it applies to the two-sided space fractional diffusion equation. A number of numerical experiments are presented to demonstrate the effectiveness of the preconditioner and the overall solution strategy.

A preconditioned Lanczos method for space-fractional reaction-diffusion equations on two-dimensional unstructured meshes

We consider a two-dimensional space-fractional reaction diffusion equation with a fractional Laplacian operator and homogeneous Neumann boundary conditions. The finite volume method is used with the matrix transfer technique of Ilić et al. (2006) to discretise in space, yielding a system of equations that requires the action of a matrix function to solve at each timestep. Rather than form this matrix function explicitly, we use Krylov subspace techniques to approximate the action of this matrix function. Specifically, we apply the Lanczos method, after a suitable transformation of the problem to recover symmetry. To improve the convergence of this method, we utilise a preconditioner that deflates the smallest eigenvalues from the spectrum. We demonstrate the efficiency of our approach for a fractional Fisher’s equation on the unit disk.

Archival analysis of enterprise resource planning systems : the current state and future directions

Research on Enterprise Resource Planning (ERP) Systems is becoming a well-established research theme in Information Systems (IS) research. Enterprise Resource Planning Systems, given its unique differentiations with other IS applications, have provided an interesting backdrop to test and re-test some of the key and fundamental concepts in IS. While some researchers have tested well-established concepts of technology acceptance, system usage and system success in the context of ERP Systems, others have researched how new paradigms like cloud computing and social media integrate with ERP Systems. Moreover, ERP Systems provided the context for cross disciplinary research such as knowledge management, project management and business process management research. Almost after two-decades since its inception in IS research, this paper provides a critique of 198 papers published on ERP Systems since 2006-2012. We observe patterns on ES research, provide comparisons to past studies and provide future research directions.

Prediction of multilocus identity-by-descent

Previous studies have enabled exact prediction of probabilities of identity-by-descent (IBD) in randommating populations for a few loci (up to four or so), with extension to more using approximate regression methods. Here we present a precise predictor of multiple-locus IBD using simple formulas based on exact results for two loci. In particular, the probability of non-IBD X ABC at each of ordered loci A, B, and C can be well approximated by XABC = XABXBC/XB and generalizes to X123. . .k = X12X23. . .Xk-1,k/ Xk-2, where X is the probability of non-IBD at each locus. Predictions from this chain rule are very precise with population bottlenecks and migration, but are rather poorer in the presence of mutation. From these coefficients, the probabilities of multilocus IBD and non-IBD can also be computed for genomic regions as functions of population size, time, and map distances. An approximate but simple recurrence formula is also developed, which generally is less accurate than the chain rule but is more robust with mutation. Used together with the chain rule it leads to explicit equations for non-IBD in a region. The results can be applied to detection of quantitative trait loci (QTL) by computing the probability of IBD at candidate loci in terms of identity-by-state at neighboring markers.

The political economy of food in schools : the case of Queensland State education

Food in schools is typically understood from a biomedical perspective. At practical, ideational and material levels, whether addressed pedagogically or bureaucratically, food in schools is generally considered from a natural sciences perspective. This perspective manifests as the bioenergetic principle of energy in versus energy out and appears in policy focused on issues such as obesity and physical activity. Despite the considerable literature on the sociology of food and eating, little is understood about food in schools from a sociological perspective. This oversight of one of the most fundamental requirements of the human condition--namely, food--should be of concern for educators. Investigating food through a political economy lens means understanding food in schools as part of broader economic, political, social and cultural conditions. Hence, a political economy of food and schooling is concerned with the formation of ideas about food relative to political, economic, and cultural ideologies in social practice. From a critical sociology study of food messages students receive in the primary school curriculum, this paper reports on some of the official food messages of an Australian state's education policy, as a case to highlight the current political economy of food in Australia. It examines the role of the corporate food industry in the formation of Australian food policy and how that policy created artefacts infused with competing messages. The paper highlights how food and nutrition policy moved from solely a health concern to incorporate an economic dimension and links that shift with the quality of food available in Queensland schools.

Regression and hypothesis tests for multivariate GNSS state time series

A satellite based observation system can continuously or repeatedly generate a user state vector time series that may contain useful information. One typical example is the collection of International GNSS Services (IGS) station daily and weekly combined solutions. Another example is the epoch-by-epoch kinematic position time series of a receiver derived by a GPS real time kinematic (RTK) technique. Although some multivariate analysis techniques have been adopted to assess the noise characteristics of multivariate state time series, statistic testings are limited to univariate time series. After review of frequently used hypotheses test statistics in univariate analysis of GNSS state time series, the paper presents a number of T-squared multivariate analysis statistics for use in the analysis of multivariate GNSS state time series. These T-squared test statistics have taken the correlation between coordinate components into account, which is neglected in univariate analysis. Numerical analysis was conducted with the multi-year time series of an IGS station to schematically demonstrate the results from the multivariate hypothesis testing in comparison with the univariate hypothesis testing results. The results have demonstrated that, in general, the testing for multivariate mean shifts and outliers tends to reject less data samples than the testing for univariate mean shifts and outliers under the same confidence level. It is noted that neither univariate nor multivariate data analysis methods are intended to replace physical analysis. Instead, these should be treated as complementary statistical methods for a prior or posteriori investigations. Physical analysis is necessary subsequently to refine and interpret the results.

UCPR r243 - notice of non-party disclosure - obligation to state allegation to which documents sought are directly relevant

In Deppro Pty Ltd v Hannah [2008] QSC 193 one of the matters considered by the court related to the requirement in r 243 of the Uniform Civil Procedure Rules 1999 (Qld) that a notice of non-party disclosure must “state the allegation in issue in the pleadings about which the document sought is directly relevant.”The approach adopted by the issuing party in this case of asserting that documents sought by a notice of non-party disclosure are relevant to allegations in numbered paragraphs in pleadings, and serving copies of the pleadings with the notice, is not uncommon in practice. This decision makes it clear that this practice is fraught with danger. In circumstances where it is not apparent that the non-party has been fully apprised of the relevant issues the decision suggests an applicant for non-party disclosure who has not complied with the requirements of s 243 might be required to issue a fresh, fully compliant notice, and to suffer associated costs consequences.