随机场的投影展开法

Projective expansion method of random fields

本文基于伽辽金投影方法，提出了一种新的随机场的展开方法。它是通过构造一组标准正交基，并将随机场用其在这组基上的投影表示。这种展开方法避免了求解相关函数的特征函数的困难，最后通过算例说明了本文方法的特性。

The present paper suggests a new expansion method of random fields on the Galerkin Projective Method. A set of standard independent bases is constructed, then the random field is expanded with its projection on the bases. This method avoids the difficulty in solving the integral eigenvalue problem. Further, the error with the present method is discussed. Finally, the numerical examples illustrate the features of the new method.