miscellanea The P 4 SR index-a critique of a recent criticism
In the October 1967 issue of this Journal there appeared a paper, entitled 'Assessing the Heat Stress and Establishing the Limits for Work in a Hot Mine' (Wyndham, Allan, Bredell, and Andrew, 1967), in which an account was given of an investigation conducted underground at Mount Isa Mine in Queensland. The purpose of the investigation was twofold: to determine which of three commonly used indices of heat stress wet-bulb temperature, corrected effective temperature, or the P4SR index predicts most accurately the effects on workmen underground of the several factors concerned in heat stress, and to decide, in terms of the selected index, at what level of heat stress the length of shift should be reduced or work should cease. The reason for undertaking the enquiry, despite the fact that heat-work tolerance has been investigated many times before, is stated by Professor Wyndham and his co-authors (p. 256,1 col. 1) to be that:
The Influence of High Air Temperatures No. I
The aim of the following investigations was to ascertain the limits within which men can continue to exist normally, and to work, when the air temperature is abnormally high: also to study the abnormal phenomena which are produced when these limits are exceeded.
The parallel waveform relaxation stochastic Runge–Kutta method for stochastic differential equations
For large-scale non-autonomous Stratonovich stochastic differential equations, we study a very general parallel waveform relaxation process which is on the basis of stochastic Runge–Kutta (SRK) method of mean-square order 1.0 in this literature. The convergence of the whole parallel numerical iterative scheme can be guaranteed and the scheme provides better properties in terms of decreasing the load of the computation and operating speed. At the same time, the related limit method is also introduced as the continuous approximation derived from the iterative scheme. In the approximation interval, it is worth noting that the mean-square order of the parallel numerical iterative scheme can be kept consistent with the previous SRK method at any arbitrary time point, not just at discrete points. Some numerical simulations are presented to elaborate the computing efficiency of the parallel numerical iterative scheme.