Further discussion on the construction and application of difference scheme of evolution equations
再论发展方程差分格式的构造和应用

In this paper a larger class of atmospheric and oceanic equations is reduced to a kind of evolution equation , and some constant time- step difference schemes, which are explicit and complete square conservative , are constructed . It is proved that the schemes have characteristics of energy conservation , " generalized energy conservation" and " mean scale conservation " in some conditions. It shows that these schemes have better computational stabilities and time- saving properties. The close relation between the explicit and the implicit complete square conservative difference schemes is compared. In the end , some numerical tests have been done by using Rossby-Haurwitz wave with 4 waves and the results are satisfactory.