任意域上的不对等剖分梯形法──二重积分数值解法探讨（续一）

TRAPEZOIDAL RULE OF UNEQUILATERAL DIVIDING ON ARBITRARY REGION

本文对传统的二重积分梯形法（对等剖分）作了改进。采用了在ｘ和ｙ两个方向上独立、交替的剖分法（可不对等）．证明了它应用于求任意区域上二重积分的收敛性，且得出了具有普适性的迭代算法，还针对典型例子得到了足以证明方法优越性的计算结果．

The traditional composite trapezoidal rule to double integral on arbitrary region in the plane can be improved according to this paper that describes a method dividing separately on two axis directions to satisfy the given precision. Both the quadratures of the improved rule, an iterative algorithm which is suitable to general cases are introduced. The adantages of this improvement have been verified by experiment.