Why we interview now-reflexivity and perspective in a longitudinal study

This paper discusses a longitudinal, interview-based study of Australian secondary school students that explores the interaction between school ethos and forms of subjectivity. The study was designed to enable prospective and retrospective understandings of identity over time. It is suggested that this methodology encourages a reflexive self-positioning for both participants and researchers and, in the accumulation of an archive of perspectives, responds to poststructuralist critiques of contingency and construction in research interviews. Second, it is argued that the richness of longitudinal research invites more than one kind of analysis, and that working with and across conventionally divergent theoretical approaches can be fruitful. This is discussed with reference to Bourdieu's account of social field and habitus, and Hollway and Jefferson's notion of the 'defended subject'.

Finding higher symmetries of differential equations using the MAPLE package DESOLVII

We present and describe, with illustrative examples, the MAPLE computer algebra package DESOLVII, which is a major upgrade of DESOLV. DESOLVII now includes new routines allowing the determination of higher symmetries (contact and Lie-Backlund) for systems of both ordinary and partial differential equations.

Applications of symbolic computing for symmetry analysis of differential equations

 This thesis presents a number of applications of symbolic computing to the study of differential equations. In particular, three packages have been produced for the computer algebra system MAPLE and used to find a variety of symmetries (and corresponding invariant solutions) for a range of differential systems.

FracSym: automated symbolic computation of Lie symmetries of fractional differential equations

In this paper, we present an algorithm for the systematic calculation of Lie point symmetries for fractional order differential equations (FDEs) using the method as described by Buckwar & Luchko (1998) and Gazizov, Kasatkin & Lukashchuk (2007, 2009, 2011). The method has been generalised here to allow for the determination of symmetries for FDEs with n independent variables and for systems of partial FDEs. The algorithm has been implemented in the new MAPLE package FracSym (Jefferson and Carminati 2013) which uses routines from the MAPLE symmetry packages DESOLVII (Vu, Jefferson and Carminati, 2012) and ASP (Jefferson and Carminati, 2013). We introduce FracSym by investigating the symmetries of a number of FDEs; specific forms of any arbitrary functions, which may extend the symmetry algebras, are also determined. For each of the FDEs discussed, selected invariant solutions are then presented. © 2013 Elsevier B.V. All rights reserved.