中文摘要：

对于偏微分方程来说，尽管方程在某些意义上是等价的，其数值方法的效果却可以很不相同，正是因为这个原因，用一阶系统极小二乘方法来处理偏微分方程是有意义的．最简单的一阶椭圆系统是柯西黎曼方程，本文对这一系统的差分格式进行了一些讨论．

英文摘要：

The idea to use first order system least squares in solving second partial differential equations is meaningful, since the effect of the numeric method is very different, though the differential equation is equivalent. The simplest case of the first order elliptic system is Cauchy-Riemann equation. Some difference schemes of this equation is studied in this paper.