Numerical approximation of a fractional-in-space diffusion equation (II) - with nonhomogeneous boundary conditions

In this paper, a space fractional di®usion equation (SFDE) with non- homogeneous boundary conditions on a bounded domain is considered. A new matrix transfer technique (MTT) for solving the SFDE is proposed. The method is based on a matrix representation of the fractional-in-space operator and the novelty of this approach is that a standard discretisation of the operator leads to a system of linear ODEs with the matrix raised to the same fractional power. Analytic solutions of the SFDE are derived. Finally, some numerical results are given to demonstrate that the MTT is a computationally e±cient and accurate method for solving SFDE.

Synthesis of profluorescent isoindoline nitroxides via palladium-catalysed Heck alkenylation

The synthesis of a new structural class of isoindoline nitroxides (aminoxyls), accessible via the palladium-catalysed Heck reaction, is presented. Reaction of the aryl bromoamine, 5-bromo-1,1,3,3-tetramethylisoindoline (4) or dibromoamine, 5,6-dibromo-1,1,3,3-tetramethylisoindoline (5) or the analogous bromonitroxides 6 and 7 with methyl acrylate gives the acrylate substituted tetramethylisoindoline amines 8 and 10 and nitroxides 12 and 14. Similarly, the reaction of the aryl bromides and dibromides 4–7 with methyl 4-vinylbenzoate gives the carboxystyryl substituted tetramethylisoindoline amines 9 and 11 and the analogous nitroxides 13 and 15. The carboxystyryl tetramethylisoindoline nitroxides demonstrate strongly suppressed fluorescence, which is revealed upon removal of the free radical by reduction or radical coupling.

Flop II

An installation of sculptural objects that combine references to the portrait bust, drapery and socle with quotidian and incidental objects from the artist's studio. The work form part of the artist's ongoing self-portrait project in which he enacts formal strategies for tempering the authority conveyed by the self-portrait as an artistic genre.

PSED II and the comprehensive Australian study of entrepreneurial emergence (CAUSEE)

Two current longitudinal studies in advanced countries, PSED II in the US and CAUSEE in Australia, have attempted to harmonize the major features of the research design. A comparison of the initial screening and first detailed interviews indicates a higher participation in new firm creation in the U.S. Similar types of persons are involved in both countries, albeit more immigrants, older individuals with more work experience and more established individuals in Australia. The nascent enterprises in the two countries are similar on many characteristics, although those in Australia report greater emphasis on new technology and international customers. Assessment of the prevalence of nascent enterprises and new firms from the Global Entrepreneurship Monitor surveys indicates a higher prevalence of new firms in Australia. These two longitudinal projects may help determine if this reflects a high proportion of new firm births or greater survival in the early years among Australian new firms.