柯西主值

证明了广义Riemann积分与Lebesgue积分、柯西主值积分与Lebesgue积分关系的若干结论。

We proves several conclusions on generalized Riemann integral and Lebesgue integral , Cauchy principal value integral and Lebesgue integral .

关于边界元方法中柯西主值积分的探讨

An investigation of Cauchy Principal Value integrals in boundary element methods

并对奇异积分（柯西主值积分）的计算进行了特殊处理。

The calculation of singular integrals are treated by special process .

波浪与结构物作用分析的一种高阶边界元方法&自由项和柯西主值积分的直接数值计算

A higher-order BEM for wave action with structures & direct computation of free-term coefficient and CPV integral

本文直接计算柯西主值积分和自由项系数，不但对于子域内包含的结点数目没有限制，而且避免了采用刚体位移法时的矩阵求逆运算。

In this paper , the Cauchy Principal Value integrals and the coefficients of free terms are computed directly , so the limitation of the number of nodes inside a sub-domain and the matrix inversion calculation in the rigid-body motion approach are avoided .

采用直接数值计算方法计算了势流问题高阶边界元方法中的自由项系数和柯西主值积分，建立了波浪与结构物作用的一种高阶边界元方法。

A direct method is implemented for computing the free-term coefficient and the Cauchy principal value integral in the higher-order boundary element method for potential flow . On the basis of the method a numerical model for wave diffraction and radiation from three-dimensional bodies is developed .