Mathematics in signal processing V (based on proceedings of a conference at University of Warwick in December 2000) edited by J. G. McWhirter and I. K. Proudler. Pp. 360. £105.00. 2002. ISBN 0 19 850734 8 (Oxford University Press).

This monograph discusses the stabilisation method for the numerical calculation of gas dynamic flows. The essence of the method is to introduce a time-variable into stationary flow equations, solve the resulting problem with initial boundary conditions and then allow the time to tend to infinity. The main tool in studying well-posedness of such problems is the use of dissipative energy integrals. The authors justify the use of the lines method in gas dynamics problems, particularly in modelling supersonic flow around a wedge, and also of the difference-differential model for flow around an infinite circular cone. This is a highly technical account aimed at specialists in gas dynamics.