The Effects of the European Emissions Trading Scheme (EU ETS) on Activity in the UK Continental Shelf (UKCS) and CO2 Leakage

NORTH SEA STUDY OCCASIONAL PAPER No. 115

Stabilized Petrov-Galerkin methods for the convection-diffusion-reaction and the Helmholtz equations

We present two new stabilized high-resolution numerical methods for the convection–diffusion–reaction (CDR) and the Helmholtz equations respectively. The work embarks upon a priori analysis of some consistency recovery procedures for some stabilization methods belonging to the Petrov–Galerkin framework. It was found that the use of some standard practices (e.g. M-Matrices theory) for the design of essentially non-oscillatory numerical methods is not feasible when consistency recovery methods are employed. Hence, with respect to convective stabilization, such recovery methods are not preferred. Next, we present the design of a high-resolution Petrov–Galerkin (HRPG) method for the 1D CDR problem. The problem is studied from a fresh point of view, including practical implications on the formulation of the maximum principle, M-Matrices theory, monotonicity and total variation diminishing (TVD) finite volume schemes. The current method is next in line to earlier methods that may be viewed as an upwinding plus a discontinuity-capturing operator. Finally, some remarks are made on the extension of the HRPG method to multidimensions. Next, we present a new numerical scheme for the Helmholtz equation resulting in quasi-exact solutions. The focus is on the approximation of the solution to the Helmholtz equation in the interior of the domain using compact stencils. Piecewise linear/bilinear polynomial interpolation are considered on a structured mesh/grid. The only a priori requirement is to provide a mesh/grid resolution of at least eight elements per wavelength. No stabilization parameters are involved in the definition of the scheme. The scheme consists of taking the average of the equation stencils obtained by the standard Galerkin finite element method and the classical finite difference method. Dispersion analysis in 1D and 2D illustrate the quasi-exact properties of this scheme. Finally, some remarks are made on the extension of the scheme to unstructured meshes by designing a method within the Petrov–Galerkin framework.

Split sex ratios in the social Hymenoptera: a meta-analysis

The study of sex allocation in social Hymenoptera (ants, bees, and wasps) provides an excellent opportunity for testing kin-selection theory and studying conflict resolution. A queen-worker conflict over sex allocation is expected because workers are more related to sisters than to brothers, whereas queens are equally related to daughters and sons. If workers fully control sex allocation, split sex ratio theory predicts that colonies with relatively high or low relatedness asymmetry (the relatedness of workers to females divided by the relatedness of workers to males) should specialize in females or males, respectively. We performed a meta-analysis to assess the magnitude of adaptive sex allocation biasing by workers and degree of support for split sex ratio theory in the social Hymenoptera. Overall, variation in relatedness asymmetry (due to mate number or queen replacement) and variation in queen number (which also affects relatedness asymmetry in some conditions) explained 20.9% and 5% of the variance in sex allocation among colonies, respectively. These results show that workers often bias colony sex allocation in their favor as predicted by split sex ratio theory, even if their control is incomplete and a large part of the variation among colonies has other causes. The explanatory power of split sex ratio theory was close to that of local mate competition and local resource competition in the few species of social Hymenoptera where these factors apply. Hence, three of the most successful theories explaining quantitative variation in sex allocation are based on kin selection.

Home Childcarer Approval Scheme Application Form HCC1 (PDF 62.3KB)

Home Childcarer Approval Scheme Application Form HCC1

Early Years Home Childcare Approval Scheme FAQ (PDF 40.2KB)

Early Years Home Childcare Approval Scheme - frequently asked questions

Degree in Social Work Incentive Scheme 2006 (PDF 45 KB)

Student Bursaries Incentive Scheme

Craigavon & Banbridge Community HSS Trust - Primary Care Mental Health Services Triage Pilot Scheme (PDF 266 KB)

Craigavon & Banbridge Community HSS Trust's final report on Primary Care Mental Health Services Triage Pilot Scheme. Part of the Department's redesign of community nursing project.

On a supremum operator

Vegeu el resum a l'inici del document del fitxer adjunt.

HPSS Consultant and Distinction Awards Scheme (DMSAC)

HPSS Consultant and Distinction Awards Scheme (DMSAC)

New HPSS Clinical Excellence Awards Scheme (PDF 42 KB)

New HPSS Clinical Excellence Awards Scheme

Literature Review: Equality of Opportunity in Relation to the DHSSPS Draft Equality Scheme

This review of the literature on equality of opportunity issues was commissioned by the Department of Public Health, Social Sevices and Public Safety.