Exponentially fitted fifth-order two-step peer explicit methods

The so called peer methods for the numerical solution of Initial Value Problems (IVP) in ordinary differential systems were introduced by R. Weiner et al [6, 7, 11, 12, 13] for solving different types of problems either in sequential or parallel computers. In this work, we study exponentially fitted three-stage peer schemes that are able to fit functional spaces with dimension six. Finally, some numerical experiments are presented to show the behaviour of the new peer schemes for some periodic problems

The broadband for all cluster - status report

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The European research landscape in optics and photonics

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Mapping the lifelines: how the design of infrastructure networks impacts on transformation in dispersed territories

Besides compact cities, Western Europe is characterised by low-density dispersion, resulting in a landscape with elements of both city and land. These dispersed territories offer an alternative to a traditional urban–rural dichotomy framework and have been put forward as twenty-first-century cities. However, these territories are currently facing urgent and complex socio-economic and ecological challenges. One such territory is the Eurometropolis Lille–Kortrijk–Tournai, a transnational region on the border of Belgium and France. The hypothesis is that the evolution of the Eurometropolis territory is closely intertwined with its infrastructure networks. The structure of this article is threefold. First, it describes the non-binary condition in which the Eurometropolis is situated. Second, it analyses the evolution of infrastructure networks in the Eurometropolis from the late eighteenth century to today through case studies. Third, it highlights the potential future role of infrastructure networks in providing answers to large-scale challenges. The research presented in this article demonstrates that transformation in dispersed territories is closely related to the evolution of their infrastructure networks. Moreover, infrastructure – such as waterways, railways and roads – has enabled an urban condition without urban form in the Eurometropolis dispersed territories. In the light of these findings, the article shows that the inherent nature of dispersed territories can be influenced by rethinking these infrastructures to proactively address the collective challenges at stake

Long-range correlations in finite nuclei: comparison of two self-consistent treatments

Long-range correlations, which are partially responsible for the observed fragmentation and depletion of low-lying single-particle strength, are studied in the Green's function formalism. The self-energy is expanded up to second order in the residual interaction. We compare two methods of implementing self-consistency in the solution of the Dyson equation beyond Hartree-Fock, for the case of the 16O nucleus. It is found that the energy-bin method and the BAGEL method lead to globally equivalent results. In both methods the final single-particle strength functions are characterized by exponential tails at energies far from the Fermi level