Full discretisation of semi-linear stochastic wave equations driven by multiplicative noise

A fully discrete approximation of the semi-linear stochastic wave equation driven by multiplicative noise is presented. A standard linear finite element approximation is used in space and a stochastic trigonometric method for the temporal approximation. This explicit time integrator allows for mean-square error bounds independent of the space discretisation and thus do not suffer from a step size restriction as in the often used St\"ormer-Verlet-leap-frog scheme. Furthermore, it satisfies an almost trace formula (i.e., a linear drift of the expected value of the energy of the problem). Numerical experiments are presented and confirm the theoretical results

The environmental turn in postwar Sweden

This book tells the story of how modern environmentalism emerged in postwar Sweden. It shows that the ‘environmental turn’ in Sweden occurred as early as the autumn of 1967 and that natural scientists led the way. The most influential was the chemist Hans Palmstierna, who was both an active Social Democrat and a regular contributor to the nation’s leading morning paper. Thus, he had a unique platform from which to exert influence. Drawing on his rich and previously untapped personal archive, the book explores how popular environmental engagement developed in Sweden. The book also highlights the journalist Barbro Soller, who in the mid-1960s became Sweden’s – and indeed one of the world’s – first environmental journalists. Moreover, it demonstrates how the pioneering historian Birgitta Odén, in collaboration with the Swedish National Defence Research Institute, sought to launch an interdisciplinary research programme based in the humanities and the social sciences as early as 1967–1968. An important conclusion of the book is that environmentalism emerged in Swedish society before there was an actual environmental movement. However, from 1969 onwards new social movements began to alter the dynamics. Hence, by the time the United Nations arranged the Stockholm Conference on the Human Environment in June 1972, environmental knowledge had become a source of conflict between rival interests. The environmental turn in postwar Sweden is the first full-length study to emerge from the Lund Centre for the History of Knowledge (LUCK), and demonstrates how its specific take on the history of knowledge enhances historical scholarship

Randomized word-parallel algorithms for detection of small induced subgraphs

Induced subgraph detection is a widely studied set of problems in theoretical computer science, with applications in e.g. social networks, molecular biology and other domains that use graph representations. Our focus lies on practical comparison of some well-known deterministic algorithms to recent Monte Carlo algorithms for detecting subgraphs on three and four vertices. For algorithms that involve operations with adjacency matrices, we study the gain of applying word parallelism, i.e. exploiting the parallel nature of common processor operations such as bitwise conjunction and disjunction. We present results of empirical running times for our implementations of the algorithms. Our results reveal insights as to when the Monte Carlo algorithms trump their deterministic counterparts and also include statistically significant improvements of several algorithms when applying word parallelism