A defect equation approach for the coupling of subdomains in domain decomposition methods

A defect equation for the coupling of nonlinear subproblems defined in nonoverlapped subdomains arise in domain decomposition methods is presented. Numerical solutions of defect equations by means of quasi-Newton methods are considered.

Birth-death processes with an instantaneous reflection barrier

A new structure with the special property that an instantaneous reflection barrier is imposed on the ordinary birth-death processes is considered. An easy-checking criterion for the existence of such Markov processes is first obtained. The uniqueness criterion is then established. In the nonunique case, all the honest processes are explicitly constructed. Ergodicity properties for these processes are investigated. It is proved that honest processes are always ergodic without necessarily imposing any extra conditions. Equilibrium distributions for all these ergodic processes are established. Several examples are provided to illustrate our results.

On a parallel time-domain method for the nonlinear Black-Scholes equation

A parallel time-domain algorithm is described for the time-dependent nonlinear Black-Scholes equation, which may be used to build financial analysis tools to help traders making rapid and systematic evaluation of buy/sell contracts. The algorithm is particularly suitable for problems that do not require fine details at each intermediate time step, and hence the method applies well for the present problem.

A reconfigurable component model using reflection

Providing a method of transparent communication and interoperation between distributed software is a requirement for many organisations and several standard and non-standard infrastructures exist for this purpose. Component models do more than just provide a plumbing mechanism for distributed applications, they provide a more controlled interoperation between components. There are very few component models however that have support for advanced dynamic reconfigurability. This paper describes a component model which provides controlled and constrained transparent communication and inter-operation between components in the form of a hierarchical component model. At the same time, the model contains support for advanced run-time reconfigurability of components. The process and benefits of designing a system using the presented model are discussed. A way in which reflective techniques and component frameworks can work together to produce dynamic adaptable systems is explained.

Legal method and legal reflection: experiential learning in the law school

The two main themes of the conference centre around teaching experiences in legal education and theme and international and European perspectives in legal education.

Fostering 'habits of reflection, independent study and free inquiry': an analysis of the short-lived phenomenon of General/Liberal Studies in English vocational education and training

In 1957, 12 years after the end of World War II, the Ministry of Education issued Circular 323 to promote the development of an element of ‘liberal studies’ in courses offered by technical and further education (FE) colleges in England. This was perceived to be in some ways a peculiar or uncharacteristic development. However, it lasted over 20 years, during which time most students on courses in FE colleges participated in what were termed General or Liberal Studies classes that complemented and/or contrasted with the technical content of their vocational programmes. By the end of the 1970s, these classes had changed in character, moving away from the concept of a ‘liberal education’ towards a prescribed diet of ‘communication studies’. The steady decline in apprenticeship numbers from the late 1960s onwards accelerated in the late 1970s, resulting in a new type of student (the state-funded ‘trainee’) into colleges whose curriculum would be prescribed by the Manpower Services Commission. This paper examines the Ministry’s thinking and charts the rise and fall of a curriculum phenomenon that became immortalised in the ‘Wilt’ novels of Tom Sharpe. The paper argues that the Ministry of Education’s concerns half a century ago are still relevant now, particularly as fresh calls are being made to raise the leaving age from compulsory education to 18, and in light of attempts in England to develop new vocational diplomas for full-time students in schools and colleges.

Reflection is alive and well, but not what you think

More and more, Business and Management students (and those in other disciplines) are being asked to undertake written reflection upon their learning as part of assessed course-work. This paper examines this trend and explores the thinking behind it: why lecturers see reflection as valuable to students, whether they undertake reflection themselves, what theoretical underpinning they perceive as justifying and explaining their views. The results of a survey undertaken among Business and Management lecturers are reported, which appear to show that the most influential writer on the subject of reflection in learning – the one most frequently cited by the respondents – is David A. Kolb, author of the well-known Experiential Learning Theory (1984), and one of the moving forces behind experiential learning in general. His ideas have attracted a good deal of criticism, but are still current, having been suitably updated and defended, (2005). The paper critically re-examines Kolb’s Experiential Learning Theory, challenging its relevance to most of Higher Education, as characterised by Peter Jarvis in his useful table of learning situations as “formal and intended” (2004; 108). Other criticisms of Kolb’s Experiential Learning Theory are advanced that are entirely new. Returning to the survey, the papers discusses the reasons lecturers believe reflection is valuable to students and concludes that Kolb’s model, and others such as Schön’s (1987), fail to adequately explain or even identify them.