船舶静力学积分法研究

Study on the Integration of Ship Hydrodynamics

以泰勒展开和牛顿－柯特斯原理为基础，对四坐标下不等间距积分法进行了理论研究和公式推导．通过实际应用，它不仅克服了传统的“梯形法”、“辛氏法”必须等间距和进行端点修正的呆板做法，而且方法灵活，达到了三阶代数精度，同时在计算中不用象三坐标不等间距积分法那样不断对间距作判别，为此，编程容易，耗费机时少，是更实用的方法．

The unequal division integration under 4 - coordinate is studied based on Taylor expansion and Newton - Cotes principle, which can not only overcome the rigid treatment in theaspects of modification at the ends and the requirement of equal division in trapezoidal orSimpson method, but also be adaptable and of 3- order -algebraic accuracy.Meanwhile, theintegration presented here need not continuously adjust the division. which is essential in theintegration of unequal division under 3 - coordinate. Therefore the method proposed in thispaper is more practical with being easy to program and being shortened on CPU time.