函数单形和外展开

FUNCTIONAL SIMPLEX AND EXTERIOR EXPANSION

针对气象工作需要,提出一种新的适用于多维问题的函数拟合方法。实质上本想法是窗口变换技术和小波分析的"粗化",因为精细的小波分析在目前尚难用于方程数值解等气象问题。由此可以形式上构成一种分块的 Galerkin 方法,使大气控制方程求解并行化。

A new scheme of function fitting suitable for multi-dimensional problems of meteoro- logical nature is proposed.It is in reality a problem of'window'transform and small-wave anal- ysis'being coarse'.Fine small-wave analysis remains inaccessible to numerical solutions of an e- quation in a meteorological context.Through the'being coarse'method it is possible to formally construct a piecewise Galerkin scenario so as to realize the parallel solution of atmospheric govern- ing equations.