求积

This article derives the extrapolated method gradually from integral action's each kind of optimized model, and it introduces emphatically the Richardson extrapolation technology and the Romberg squaring algorithm.

本文从积分运算的各种优化模型中逐步导出外推法，着重介绍了李查逊外推技术及龙贝格求积算法。

The quadrature formula about surface integral on any quadrilateral element is deduced by means of isoparametric transformation and bilinear interpolation.

通过对三维有界区域的边界曲面作四边形网格剖分，用有限元方法处理高斯公式中的曲面积分，由等参变换及双线性插值导出任意四边形单元上曲面积分的数值求积公式。

After the boundary integral operator is decomposed into the sum of a monotonous Hammerstein operator and a compact mapping by the Sidi rule, we construct the nonlinear discrete equations.

积分算子被分解成单调的Hammerstein算子和一个紧算子后，运用Sidi求积公式，建立了非线性离散方程组。

The paper simply introduced the basic principle of surface nuclear magnetic resonance and computed the numerical integral of nuclear magnetic resonance kernel function which contained double Bessel functions using the method of Gauss quadrature and continued fraction expansion, and then discussed influence of conductivity to nuclear magnetic resonance′s signal.

简要介绍了地面核磁共振找水的正演理论方法，采用高斯求积并结合连分式展开的方法对核磁共振核函数中包含双重贝塞尔函数的积分核进行了数值积分，进而计算出精度较高的核函数值，在此基础之上，讨论了导电性对地面核磁共振信号的影响。

According to the viewpoint of combination tope, any convex polyhedron can be composed of some simplexes, and both convex polyhedron and simplex are important concepts of programming theory, so it's necessary to find their volumes in some calculations.

由组合拓扑学可知，任意凸多面体均为若干个单纯形的某种组合，两者均为规划论中最重要的基本概念之一，因而在一些计算中对其求积是不可少的。

Then interpolating cubature formulae is given based on Lagrange interpolation formulae. Secondly it make use of the cubature formula on the triangle to construct cubature formulae on the correspondent spherical triangle.

通过把其定义域上的积分化为平面单纯形{u =(u1， u2， u3)： u1 + u2 + u3 = 1， u1， u2， u3〉0}上的积分，然后利用平面单纯形上数值积分公式给出其在球面三角形上的对d次齐次多项式精确成立的Gauss求积公式的构造方法。

The main purpose is to construct cubature formulae on an arbitrary spherical triangle. Firstly a method for accurately computing the definite integral of spherical polynomial functions on a spherical triangle is proposed.

本文主要研究定义在球面三角形上函数的数值积分，通过积分的插值多项式函数构造具有多项式精度的插值型求积公式，以及给出精确计算球面三角形上多项式函数方法。

The method resolved the defects caused by common methods with planimeter on calculating area, which produce low precision and require complicated operations and much workload.

该方法解决了用求积仪等常规方法求取面积时所存在的精度偏低、操作繁琐、工作量大等缺点，用这种方法在面积确定过程中自动化程度高，具有方便、灵活、实用的特点。

Then in order to improve the efficiency and accuracy of numerical computation, the author developed hybrid spline interpolation, automatically varia...

然后为了提高数值计算的精度和效率，作者又根据二次样条的特点，提出了杂交样条插值、可变节距样条求积和自适应的样条求导等新方法。

The key technique of the method is to make full use of the information from the present oil prospecting and exploitation database and to calculate the coordinates of the acmes of the block boundary according to reserves and block area and reserves with computer.

该方法解决了用求积仪等常规方法求取面积时所存在的精度偏低、操作繁琐、工作量大等缺点，用这种方法在面积确定过程中自动化程度高，具有方便、灵活、实用的特点。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。