Local development companies and the regeneration of Britain's cities

Efforts to decentralise the pursuit of economic and social development have increased in recent years. The authors examine the rationale for establishing local development companies in areas of high unemployment and deprivation. The broad purpose is to establish a new style of organisation that combines attributes of the public and private sectors-to adapt and integrate economic and social services to meet local needs, to champion local interests in external arenas, and to act as enabling agents to promote local investment and development. These arguments are elaborated and illustrated with reference to one of Britain's most successful local development companies, Govan Initiative. The analysis reveals important strengths of the Initiative, including its action orientation, commitment to quality, and a local leadership role, but also certain weaknesses including its limited leverage over wider policies and resource flows. Local development companies need meaningful commitment from regional and national public organisations to fulfil their potential.

Studentification and 'apprentice' gentrifiers within Britain's provincial towns and cities: extending the meaning of gentrification

This paper focuses on processes of studentification, and explores the link between higher education students and contemporary provincial gentrification. The paper provides two main, interconnected, contributions to advance debates on gentrification. First, the discussion appeals for wider temporal analyses of the lifecourses of gentrifiers to trace the formation and reconfiguration of the cultural and residential predilections of gentrifiers across time and space. With this in mind, it is argued that there is a need to rethink the role of students within the constraints of third-wave gentrification, and to consider how 'student experiences' may influence the current and future residential geographies of young gentrifiers within provincial urban locations. Drawing upon recent studies of studentification, it is asserted that this profound expression of urban change is indicative of gentrification. Second, the paper advances Clark's recent call to extend the term gentrification to embrace the wider dominant hallmarks and tendencies of urban transformations. Controversially, in light of a deepening institutionalisation of gentrification, we contend that gentrification can be most effectively employed at a revised conceptual level to act as a referent of the common outcomes of a breadth of processes of change.

On integral equation and least squares methods for scattering by diffraction gratings

In this paper we consider the scattering of a plane acoustic or electromagnetic wave by a one-dimensional, periodic rough surface. We restrict the discussion to the case when the boundary is sound soft in the acoustic case, perfectly reflecting with TE polarization in the EM case, so that the total field vanishes on the boundary. We propose a uniquely solvable first kind integral equation formulation of the problem, which amounts to a requirement that the normal derivative of the Green's representation formula for the total field vanish on a horizontal line below the scattering surface. We then discuss the numerical solution by Galerkin's method of this (ill-posed) integral equation. We point out that, with two particular choices of the trial and test spaces, we recover the so-called SC (spectral-coordinate) and SS (spectral-spectral) numerical schemes of DeSanto et al., Waves Random Media, 8, 315-414 1998. We next propose a new Galerkin scheme, a modification of the SS method that we term the SS* method, which is an instance of the well-known dual least squares Galerkin method. We show that the SS* method is always well-defined and is optimally convergent as the size of the approximation space increases. Moreover, we make a connection with the classical least squares method, in which the coefficients in the Rayleigh expansion of the solution are determined by enforcing the boundary condition in a least squares sense, pointing out that the linear system to be solved in the SS* method is identical to that in the least squares method. Using this connection we show that (reflecting the ill-posed nature of the integral equation solved) the condition number of the linear system in the SS* and least squares methods approaches infinity as the approximation space increases in size. We also provide theoretical error bounds on the condition number and on the errors induced in the numerical solution computed as a result of ill-conditioning. Numerical results confirm the convergence of the SS* method and illustrate the ill-conditioning that arises.

Climate change and heat-related mortality in six cities Part 1: model construction and validation

Heat waves are expected to increase in frequency and magnitude with climate change. The first part of a study to produce projections of the effect of future climate change on heat-related mortality is presented. Separate city-specific empirical statistical models that quantify significant relationships between summer daily maximum temperature (T max) and daily heat-related deaths are constructed from historical data for six cities: Boston, Budapest, Dallas, Lisbon, London, and Sydney. ‘Threshold temperatures’ above which heat-related deaths begin to occur are identified. The results demonstrate significantly lower thresholds in ‘cooler’ cities exhibiting lower mean summer temperatures than in ‘warmer’ cities exhibiting higher mean summer temperatures. Analysis of individual ‘heat waves’ illustrates that a greater proportion of mortality is due to mortality displacement in cities with less sensitive temperature–mortality relationships than in those with more sensitive relationships, and that mortality displacement is no longer a feature more than 12 days after the end of the heat wave. Validation techniques through residual and correlation analyses of modelled and observed values and comparisons with other studies indicate that the observed temperature–mortality relationships are represented well by each of the models. The models can therefore be used with confidence to examine future heat-related deaths under various climate change scenarios for the respective cities (presented in Part 2).

The method of least squares used to invert an orbit problem

Six parameters uniquely describe the orbit of a body about the Sun. Given these parameters, it is possible to make predictions of the body's position by solving its equation of motion. The parameters cannot be directly measured, so they must be inferred indirectly by an inversion method which uses measurements of other quantities in combination with the equation of motion. Inverse techniques are valuable tools in many applications where only noisy, incomplete, and indirect observations are available for estimating parameter values. The methodology of the approach is introduced and the Kepler problem is used as a real-world example. (C) 2003 American Association of Physics Teachers.