Mathematical problems and methods of hydrodynamic weather forecasting.

The material provides an historical background to forecasting developments as well as introducing recent advances.

The book will be of interest to both mathematicians and physicians, the topics covered include equations of dynamical meteorology, first integrals, non-linear stability, well-posedness of boundary problems, non-smooth solutions, parameters and free oscillations, meteorological data processing, methods of approximation and interpolation and numerical methods for forecast modelling.