The pervasive use of computers in scientific computation and simulation requires a paradigm shift in mathematical modelling from the continuous mathematics that has dominated science since Newton to a mathematics that is simulateously both continuous and discrete. This will be illustrated with...

Intertemporal asset pricing models, relating macroeconomic variables to asset returns and the term structure of interest rates, suggest that the term structure (yield curve) contains forecast-enhancing information about the future growth rate of real economic activity. Empirical evidence that...

Removal of native vegetation and intensification of agriculture has led to salinisation of soils and streams in the south-west of Western Australia. Four significant changes have typically been observed: an increase in streamflow volume; a relocation of deep groundwater levels; expansion of...

This paper considers seasonality in Australian macroeconomic time series, emphasizing the roles of unit roots and the selection of differencing filters. The consequences of seasonal unit roots and the importance of correct variable transformation are analyzed. For certain variables, in addition...

The intensification of the hydrologic cycle that can be expected under enhanced levels of greenhouse gases is attributed to an increase in the frequency of heavy precipitation events. The grid points in an atmospheric global climate model that cover the Midwest USA, show an increase in the mean...

This paper investigates the stochastic behaviour of the short-term interest rates. The lognormal model, the stable Paretian model and the continuous time mean reversion model are considered. The parameters of the models are estimated using 17 years of weekly data. Our results show that the...

AIDS case projections are vital to the control and prevention of AIDS. In this paper, we discuss statistical methods of AIDS/HIV infection data. We analyzed the AIDS/HIV infection data for the state of Alabama, USA. We discuss the results in detail. To assist health care planning efforts,...

Classical and nonclassical reductions of a 2 + 1-dimensional shallow water wave equation are classified. Using these reductions, we derive some exact solutions, including solutions expressed as the nonlinear superposition of solutions of a generalised variable-coefficient Korteweg-de Vries...