Time-dependent fractional advection–diffusion equations by an implicit MLS meshless method

Recently, many new applications in engineering and science are governed by a series of fractional partial differential equations (FPDEs). Unlike the normal partial differential equations (PDEs), the differential order in a FPDE is with a fractional order, which will lead to new challenges for numerical simulation, because most existing numerical simulation techniques are developed for the PDE with an integer differential order. The current dominant numerical method for FPDEs is Finite Difference Method (FDM), which is usually difficult to handle a complex problem domain, and also hard to use irregular nodal distribution. This paper aims to develop an implicit meshless approach based on the moving least squares (MLS) approximation for numerical simulation of fractional advection-diffusion equations (FADE), which is a typical FPDE. The discrete system of equations is obtained by using the MLS meshless shape functions and the meshless strong-forms. The stability and convergence related to the time discretization of this approach are then discussed and theoretically proven. Several numerical examples with different problem domains and different nodal distributions are used to validate and investigate accuracy and efficiency of the newly developed meshless formulation. It is concluded that the present meshless formulation is very effective for the modeling and simulation of the FADE.

P2-486 Environmental temperature variation and morbidity: a meta-analysis

Extreme temperatures have been shown to have a detrimental effect on health. Hot temperatures can increase the risk of mortality, particularly in people suffering from cardiorespiratory diseases. Given the onset of climate change, it is critical that the impact of temperature on health is understood, so that effective public health strategies can correctly identify vulnerable groups within the population. However, while effects on mortality have been extensively studied, temperature–related morbidity has received less attention. This study applied a systematic review and meta–analysis to examine the current literature relating to hot temperatures and morbidity.

Novel numerical methods for time-space fractional reaction diffusion equations in two dimensions

We consider time-space fractional reaction diffusion equations in two dimensions. This equation is obtained from the standard reaction diffusion equation by replacing the first order time derivative with the Caputo fractional derivative, and the second order space derivatives with the fractional Laplacian. Using the matrix transfer technique proposed by Ilic, Liu, Turner and Anh [Fract. Calc. Appl. Anal., 9:333--349, 2006] and the numerical solution strategy used by Yang, Turner, Liu, and Ilic [SIAM J. Scientific Computing, 33:1159--1180, 2011], the solution of the time-space fractional reaction diffusion equations in two dimensions can be written in terms of a matrix function vector product $f(A)b$ at each time step, where $A$ is an approximate matrix representation of the standard Laplacian. We use the finite volume method over unstructured triangular meshes to generate the matrix $A$, which is therefore non-symmetric. However, the standard Lanczos method for approximating $f(A)b$ requires that $A$ is symmetric. We propose a simple and novel transformation in which the standard Lanczos method is still applicable to find $f(A)b$, despite the loss of symmetry. Numerical results are presented to verify the accuracy and efficiency of our newly proposed numerical solution strategy.

Understanding the diversity of non-specialised units within Australian property degrees

Building on the recommendations of the Bradley Review (2008), the Australian Federal government intends to promote a higher level of penetration of tertiary qualification across the broader Australian community which is anticipated to result in increased levels of standardisation across university degrees. In the field of property, tertiary academic programs are very closely aligned to the needs of a range of built environment professions and there are well developed synergies between the relevant professional bodies and the educational institutions. The strong nexus between the academic and the professional content is characterised by ongoing industry accreditation which nominates a range of outcomes which the academic programs must maintain across a range of specified metrics. Commonly, the accrediting bodies focus on standard of minimum requirements especially in the area of specialised subject areas where they require property graduates to demonstrate appropriate learning and attitudes. In addition to nominated content fields, in every undergraduate degree program there are also many other subjects which provide a richer experience for the students beyond the merely professional. This study focuses on the nonspecialised knowledge field which varies across the universities offering property degree courses as every university has the freedom to pursue its own policy for these non-specialised units. With universities being sensitive to their role of in the appropriate socialisation of new entrants, first year units have been used as a vehicle to support students’ transition into university education and the final year units seek to support students’ integration into the professional world. Consequentially, many property programs have to squeeze their property-specific units to accommodate more generic units for both first year and final year units and the resulting diversity is a feature of the current range of property degrees across Australia which this research will investigate. The matrix of knowledge fields nominated by the Australian Property Institute for accreditation of degrees accepted for Certified Practising Valuer (CPV) educational requirement and the complementary requirements of the other major accrediting body (RICS) are used to classify and compare similarities and differences across property degrees in the light of the streamlining anticipated from the Bradley Review.

Project managers’ understanding of stakeholders’ satisfaction

Studies indicate project success should be viewed from the different perspectives of the individual stakeholders. Project managers are owner’s agents. In order to allow early corrective actions to take place in case a project is diverted from plan, to accurately report perceived success of the stakeholders by project managers is essential, though there has been little systematic research in this area. The aim of this paper is to report the fi ndings of an empirical study that compares the level of agreement between project managers and key stakeholders on a list of project performance indicators. A telephone survey involving 18 complex project managers and various key project stakeholder groups was conducted in this study. Krippendorff’s Kappa alpha reliability test was used to assess the agreement level between project managers and stakeholders. While the overall agreement level between project manager and stakeholders is medium, results have also identified 12 performance indicators that have significant level of agreement between project managers and stakeholders.

Modelling word meaning using efficient tensor representations

Models of word meaning, built from a corpus of text, have demonstrated success in emulating human performance on a number of cognitive tasks. Many of these models use geometric representations of words to store semantic associations between words. Often word order information is not captured in these models. The lack of structural information used by these models has been raised as a weakness when performing cognitive tasks. This paper presents an efficient tensor based approach to modelling word meaning that builds on recent attempts to encode word order information, while providing flexible methods for extracting task specific semantic information.