176 resultados para Divided Difference
Resumo:
This article examines the impact of a community-based adult education initiative designed to target social need in Northern Ireland. Set against a backdrop of extreme civil unrest and disadvantageous socio-economic conditions a cohort of adults was identified to participate in a personal and social development programme. The initiative was funded from Peace and Reconciliation resources made available to Northern Ireland by the European Union. High levels of unemployment and negativity about previous learning experiences were characteristic features among participants. An evaluation of the effectiveness of the programme was carried out and a follow-up qualitative survey ensued 6 months after the completion of the training. Results indicate that the learner-centred methodology was effective in providing a gateway to further education and training and enhancing participants' self-esteem, confidence, motivation, tolerance, social skills, community involvement and
Resumo:
In this work we present the theoretical framework for the solution of the time-dependent Schrödinger equation (TDSE) of atomic and molecular systems under strong electromagnetic fields with the configuration space of the electron’s coordinates separated over two regions; that is, regions I and II. In region I the solution of the TDSE is obtained by an R-matrix basis set representation of the time-dependent wave function. In region II a grid representation of the wave function is considered and propagation in space and time is obtained through the finite-difference method. With this, a combination of basis set and grid methods is put forward for tackling multiregion time-dependent problems. In both regions, a high-order explicit scheme is employed for the time propagation. While, in a purely hydrogenic system no approximation is involved due to this separation, in multielectron systems the validity and the usefulness of the present method relies on the basic assumption of R-matrix theory, namely, that beyond a certain distance (encompassing region I) a single ejected electron is distinguishable from the other electrons of the multielectron system and evolves there (region II) effectively as a one-electron system. The method is developed in detail for single active electron systems and applied to the exemplar case of the hydrogen atom in an intense laser field.