Numerical modelling of two-way propagation of non-linear dispersive waves

We describe and implement a fully discrete spectral method for the numerical solution of a class of non-linear, dispersive systems of Boussinesq type, modelling two-way propagation of long water waves of small amplitude in a channel. For three particular systems, we investigate properties of the numerically computed solutions; in particular we study the generation and interaction of approximate solitary waves.

Error estimates for a fully discrete spectral scheme for a class of nonlinear, nonlocal dispersive wave equations

We analyze a fully discrete spectral method for the numerical solution of the initial- and periodic boundary-value problem for two nonlinear, nonlocal, dispersive wave equations, the Benjamin–Ono and the Intermediate Long Wave equations. The equations are discretized in space by the standard Fourier–Galerkin spectral method and in time by the explicit leap-frog scheme. For the resulting fully discrete, conditionally stable scheme we prove an L2-error bound of spectral accuracy in space and of second-order accuracy in time.

Ocean acoustic models for low frequency propagation in 2D and 3D environments

In this paper we are mainly concerned with the development of efficient computer models capable of accurately predicting the propagation of low-to-middle frequency sound in the sea, in axially symmetric (2D) and in fully 3D environments. The major physical features of the problem, i.e. a variable bottom topography, elastic properties of the subbottom structure, volume attenuation and other range inhomogeneities are efficiently treated. The computer models presented are based on normal mode solutions of the Helmholtz equation on the one hand, and on various types of numerical schemes for parabolic approximations of the Helmholtz equation on the other. A new coupled mode code is introduced to model sound propagation in range-dependent ocean environments with variable bottom topography, where the effects of an elastic bottom, of volume attenuation, surface and bottom roughness are taken into account. New computer models based on finite difference and finite element techniques for the numerical solution of parabolic approximations are also presented. They include an efficient modeling of the bottom influence via impedance boundary conditions, they cover wide angle propagation, elastic bottom effects, variable bottom topography and reverberation effects. All the models are validated on several benchmark problems and versus experimental data. Results thus obtained were compared with analogous results from standard codes in the literature.

Livelihood diversification and the expansion of artisanal mining in rural Tanzania: drivers and policy implications

This paper provides an extended analysis of livelihood diversification in rural Tanzania, with special emphasis on artisanal and small-scale mining (ASM). Over the past decade, this sector of industry, which is labour-intensive and comprises an array of rudimentary and semi-mechanized operations, has become an indispensable economic activity throughout Sub-Saharan Africa, providing employment to a host of redundant public sector workers, retrenched large-scale mine labourers and poor farmers. In many of the region’s rural areas, it is overtaking subsistence agriculture as the primary industry. Such a pattern appears to be unfolding within the Morogoro and Mbeya regions of southern Tanzania, where findings from recent research suggest that a growing number of smallholder farmers are turning to ASM for employment and financial support. It is imperative that national rural development programmes take this trend into account and provide support to these people.

The evolution of strategy: thinking war from antiquity to the present

Latin had no word for "strategy", but the East Romans, whom we call the Byzantines, did. This book tracks the evolution of the concept of warfare being subjected to higher political aims from Antiquity to the Present, using Greek, Latin, French, Spanish, Italian, English and German sources. It tracks the rise, fall, and resurrection of the belief in the Roman and later the medieval and early modern world that warfare was only legitimate if it pursued the higher goal of a just peace, which in the 19th century gave way to a blinkered concentration on military victory as only war aim. It explains why one school of thought, from Antiquity to the present, emphasised eternal principles of warfare, while others emphasised, in Clausewitz's term, the "changing character of war". It tracks ideas from land warfare to naval warfare to air power and nuclear thinking, but it also stresses great leaps and discontinuities in thinking about strategy. It covers asymmetric wars both from the point of view of the weaker power seeking to overthrow a stronger power, and from the stronger power dealing with insurgents and other numerically inferior forces. It concludes with a commentary of the long-known problems of bureaucratic politics, non-centralised command and inter-service rivalry, which since the 16th century or earlier has created obstacles to coherent strategy making.

The strategy makers: thoughts on war and society from Machiavelli and Clausewitz

Introductory chapter. Introduction and excerpts from works of Seigneur de Fourquevaux (1548); Francois Loque – Saillans (1589); Matthew Sutcliffe (1593); Don Bernardino de Mendoza (1595); Paul Hay du Chastelet (1668); Marquis Santa Cruz de Marcenado & Zanthier (1724-30/1775); Guibert (1772); Rühle von Lilienstern (1816/1817).

Small wars in the age of Clausewitz: the watershed between partisan war and people's war

Around the time of Clausewitz’s writing, a new element was introduced into partisan warfare: ideology. Previously, under the ancien régime, partisans were what today we would call special forces, light infantry or cavalry, almost always mercenaries, carrying out special operations, while the main action in war took place between regular armies. Clausewitz lectured his students on such ‘small wars’. In the American War of Independence and the resistance against Napoleon and his allies, operations carried out by such partisans merged with counter-revolutionary, nationalist insurgencies, but these Clausewitz analysed in a distinct category, ‘people's war’. Small wars, people's war, etc. should thus not be thought of as monopoly of either the political Right or the Left.