Integrable 1D Toda cellular automata

First, we recall the algebro-geometric method of construction of finite field valued solutions of the discrete KP equation and next we perform a reduction of the dKP equation to the discrete 1D Toda equation. This gives a method of construction of solutions of the discrete 1D Toda equation taking values in a finite field.Comment: 9 pages, 2 figures; Corrected typo

An ADI extrapolated Crank-Nicolson orthogonal spline collocation method for nonlinear reaction-diffusion systems: a computational study

An alternating direction implicit (ADI) orthogonal spline collocation (OSC) method is described for the approximate solution of a class of nonlinear reaction-diffusion systems. Its efficacy is demonstrated on the solution of well-known examples of such systems, specifically the Brusselator, Gray-Scott, Gierer-Meinhardt and Schnakenberg models, and comparisons are made with other numerical techniques considered in the literature. The new ADI method is based on an extrapolated Crank-Nicolson OSC method and is algebraically linear. It is efficient, requiring at each time level only $O({\cal N})$ operations where ${\cal N}$ is the number of unknowns. Moreover,it is shown to produce approximations which are of optimal global accuracy in various norms, and to possess superconvergence properties

Introduction to special section 2 : anthropology and character

The authors thank The Ladislav Holy Memorial Trust for sponsoring the original Anthropology of Character conference, held at the University of St Andrews in 2016The introductory essay to this second special section on Anthropology and Character seeks to extend an exploration of the relevance of the character concept, in part by looking beyond its exclusive attribution to the human subject. While continuing to develop the insights of previous discussions about both the emic and etic status of the concept, in obvious fields such as the anthropology of ethics and the anthropology of Christianity, the authors here ask what difference it makes to begin analysis with a description of non‐human characters. This includes calling our attention to the objects of character – its specific materialisations. By reflecting on various examples offered by the special section's contributors, such as the characterful nature popularly assigned to animals, to scientific units of behaviour and to historic places and buildings, new questions are identified for an emergent project on Anthropology and Character. This leads to a broader examination of characterisation as an enactment on the page (or stage) but also in the world, and on the role of audience (or reader) in the recognition of a character's distinctiveness. Finally, we ask what consequences these reflections might have for the ways in which we treat characterisation as a feature of anthropological writing.PostprintPeer reviewe

Existence of an Equilibrium for Lower Semicontinuous Information Acquisition Functions

International audienceWe consider a two-period model in which a continuum of agents trade in a context of costly information acquisition and systematic heterogeneous expectations biases. Because of systematic biases agents are supposed not to learn from others' decisions. In a previous work under somehow strong technical assumptions a market equilibrium was proved to exist and the supply and demand functions were proved to be strictly monotonic with respect to the price. Here we extend these results under very weak technical assumptions. We also prove that the equilibrium price maximizes the trading volume and further additional properties (such as the antimonotonicity of the trading volume with respect to the marginal information price)

Mass, heat and momentum transfer in natural draft wet cooling tower with flue gas discharge

The paper presents CFD simulation results of a natural draught wet-coolingtower (NDWCT) with flue gas discharge. The problem considered is mixing of the fluegases with the rising plume and possible corrosion of the tower shell due to acid condensate.A previously developed CFD model of a NDWCT has been used in the analysis. Nowind conditions have been assumed and the results have shown that under this conditionthe corrosion is unlikely to occu