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We present results of a mathematical model for the gas flow in an internal combustion engine consisting of a single cylinder with an inlet and outlet pipe. In order to achieve optimal performance of the engine the dependence of the gas flow on physical parameters such as pipe dimensions and valve geometry need to be understood. A system of ordinary differential equations (in time t) with discontinuous right‐hand side describes the gas properties in the cylinder, whereas the gas flow in each pipe is modelled by the Euler equations, a system of hyperbolic partial differential equations. The explicit method of Euler and a TVD scheme are used for solving these equations. However, since the coupling of the pipe equations with the o.d.e. system in the cylinder on one side and atmospheric gas properties on the other appeared to be a main problem, we concentrate on appropriate coupling conditions. The numerical techniques involve discretization in space and time, and we present different methods of discrete coupling. As a main result we show that the various coupling methods lead to quite different numerical solutions. Therefore, a careful treatment of the coupling conditions is crucial.

In this chapter, we present Self-Study of Teaching and Teacher Education Practices (S-STEP) as a research methodology that can be used pedagogically to explore the practices of teacher educators for their professional development. It can be seen as a pedagogic practice that enlists reflection to enable teacher educators to explore and explicate practice and make explicit what they know about teaching and teacher education in order to improve practice and contribute to larger conversations in research on teaching and teacher education. After providing a succinct interpretation of the origins of S-STEP work, we suggest that historical context, along with the understanding of the theoretical underpinnings, makes it viable as a research methodology and a potentially valuable pedagogy for teacher education research. S-STEP is an intimate research methodology (Hamilton, 1995) in which the person conducting the research is both the focus and the author of the research and provides an insider’s perspective into practice and experience.

We provide examples to demonstrate how others and we take up S-STEP as pedagogy for teacher educator professional development that allows us to grapple with what we know either explicitly or tacitly from and about our practice. International S-STEP research has the power to inform the professional development of teacher educators across these boundaries, because it attends carefully to the particular of the practice and context from which it emerged.

This research aims to discuss the success of digital transformation focusing on the role of IT and management commitment in digitalization together with sectorial relevance as influencing factors. According to the literature, these dimensions are key elements of digitalization, and there is no consensus on their decisiveness. The authors measure the success of digital transformation with the digital innovation. The research is part of ongoing work, in which the IT-related practice of Hungarian organizations has been explored on an annual basis since 2009.

The research methodology is a combined one; both qualitative and quantitative methods were applied including surveying digital transformation literature, interviews with key representatives of Hungarian organizations, developing a survey to collect quantitative data, data collection and processing with PLS-SEM.

The results revealed that the digital innovations are strongly determined by business, management commitment and, to a far lesser extent, by strategy. In the case of digital transformation, the role of IT departments and the services they provide are less relevant.

The most important limitation of the research is the size and composition of the sample. Results do not present the situation of a specific industrial sector.

Digital technologies influence and disrupt practically every industry; the development of information and communication technology has changed economies all over the world. Decisive factors of digital transformations are widely researched, but there is no consensus about them. This research contributes to understanding the role of IT department and their services in this process together with leadership, sectorial relevance as influencing factors.

Dual‐diagnosis strategies are developing in medium secure services in response to both government policies and clinical need and there has been a move towards integrated services for this patient group. Substance use that has been a feature of the index offence must be taken into account as much as psychosis or the offending behaviour. Treatment of dual diagnosis relies heavily on cognitive‐behavioural therapies. Relapse in either psychosis or substance use increases risk and re‐admission rates to medium security. This paper reviews the literature on family interventions in dual diagnosis and its applicability to forensic mental health inpatient services. As there appeared to be limited direct evidence, various domains were examined and extrapolated to a forensic setting as appropriate. The review indicates the potential for positive outcomes for families following family interventions in dual diagnosis, which may be beneficial in a forensic setting in lowering risk.