Explaining history to children: Otto and Marie Neurath’s work on the ‘Visual history of mankind’

This essay traces the development of Otto Neurath’s ideas that led to the publication of one of the first series of children’s books produced by the Isotype Institute in the late 1940s, the Visual History of Mankind. Described in its publicity material as ‘new in content’ and ‘new in method’, it embodied much of Otto Neurath’s thinking about visual education, and also coincided with other educational ideas in the UK in the 1930s and 1940s. It exemplified the Isotype Institute’s approach: teamwork, thinking about the needs of younger readers, clear explanation, and accessible content. Further, drawing on correspondence, notes and drawings from the Otto and Marie Neurath Isotype Collection at the University of Reading, the essay presents insights to the making of the books and the people involved, the costs of production and the influence of this on design decisions, and how the books were received by teachers and children.

From hieroglyphics to Isotype: a visual autobiography (Otto Neurath)

Otto Neurath (1882–1945) wrote From hieroglyphics to Isotype during the last two years of his life and this is the first publication of the text in full, carefully edited from the original manuscripts. He called it a 'visual autobiography', in which he documents the importance of visual material to him from his earliest years to his professional activity with the picture language of Isotype. Neurath draws clear links between the stimulus he received as a boy from illustrated books, toys and exhibitions to the considered work in visual education that occupied him for the last two decades of his life. This engaging and informal account gives a rich picture of Central European culture around the turn of the twentieth century, seen through the eyes of Neurath's insatiable intelligence, as well as a detailed exposition of the technique of Isotype, a milestone of modern graphic design. This edition includes the numerous illustrations intended by Neurath to accompany his text, and is completed by an extensive appendix showing examples from the rich variety of graphic material that he collected.

Runge-Kutta IMEX schemes for the Horizontally Explicit/Vertically Implicit (HEVI) solution of wave equations

Many operational weather forecasting centres use semi-implicit time-stepping schemes because of their good efficiency. However, as computers become ever more parallel, horizontally explicit solutions of the equations of atmospheric motion might become an attractive alternative due to the additional inter-processor communication of implicit methods. Implicit and explicit (IMEX) time-stepping schemes have long been combined in models of the atmosphere using semi-implicit, split-explicit or HEVI splitting. However, most studies of the accuracy and stability of IMEX schemes have been limited to the parabolic case of advection–diffusion equations. We demonstrate how a number of Runge–Kutta IMEX schemes can be used to solve hyperbolic wave equations either semi-implicitly or HEVI. A new form of HEVI splitting is proposed, UfPreb, which dramatically improves accuracy and stability of simulations of gravity waves in stratified flow. As a consequence it is found that there are HEVI schemes that do not lose accuracy in comparison to semi-implicit ones. The stability limits of a number of variations of trapezoidal implicit and some Runge–Kutta IMEX schemes are found and the schemes are tested on two vertical slice cases using the compressible Boussinesq equations split into various combinations of implicit and explicit terms. Some of the Runge–Kutta schemes are found to be beneficial over trapezoidal, especially since they damp high frequencies without dropping to first-order accuracy. We test schemes that are not formally accurate for stiff systems but in stiff limits (nearly incompressible) and find that they can perform well. The scheme ARK2(2,3,2) performs the best in the tests.