求积

The author successfully applies the Gauss-type integral formula to the numerical solution to the constant differential equation and creates the Gauss-type implicit Runge-Kutta Method of which the accuracy of order 4 and degree 7 is already equivalent to that of the RK method with order 10 and degree 8 that is in common use.

成功地将高斯型求积公式用于常微分方程的数值解中，得到了高斯型隐式龙格库塔方法，4级7阶 GRK 法的精度已与目前较为常用的10级8阶 RK 法的精度相当。

But the numerical differentiation process is very sensitive to even a small level of errors. In contrast it is expected that on average the numerical integration process is much less sensitive to errors.

在DQ方法的基础上，本文提出了一种新的方法——基于最高阶导函数插值的微分求积(differential quadrature method based on the highest derivative，简称DQIHD)方法。

Numerical analysis of continued fractions quadrature problems, with input and output interface.

详细说明：数值分析中的连分式求积问题，含输入输出界面。

Proceeding by Bubnov-Galerkin method in combination with numerical method based on the quadrature formula the problem was reduced to a solution of a system of nonlinear integro-differential equations with singular kernel of relaxation.

根据Bubnov-Galerkin法，结合基于求积公式的数值方法，将问题简化为求解具有松弛奇异核的非线性积分－微分方程的问题。

By adapting the existed numerical methods for ordinary and delay differential equations, and matching certain suitable numerical quadrature formulas, Rosenbrock methods are constructed for delay integro-differential equations, the stability criteria of the methods are derived.

通过改造现有常及离散型延迟微分方程的数值方法，并匹配以适当数值求积公式，构造了求解时滞积分微分方程的Rosenbrock方法，导出了其稳定性准则。

Compared with GDQR and FEM, the error of displacement was 2.4 percent and the error of force was 4.2 percent in the solutions.

介绍了广义微分求积法的一般原则，对比了用传统DQ法与GDQR在处理截面突变问题中的优劣，研究了用DQ法试解静水压力作用下变截面环向加箍贮液罐圆筒问题，由于变截面处的奇异性问题，所得到的结果不收敛，而采用GDQR重解该问题则得到收敛解。

In traditional reservoir capacity calculation, a planimeter is used to obtain a reservoir capacity from topographic maps and large scale topographic maps are needed if high accuracy is required.

传统的库容计算方法是在已有的地形图上采用求积仪法进行，当精度要求较高时，需到现场实测更大比例尺的地形图。

Graph paper, parallel, and planimeter methods are current tools for acreage calculation.

目前常用的量算面积方法有方格纸法、平行线法、求积仪法。

According to the essential features of land types and under the circumstance with no unified standards to follow, the cartographical programme and area measuring method for land-type map scaled 1: 25,000 are devised with the help of planimeter and checking net-work.

本文根据土地类型本质特征，在尚未有统一的专题制图规范可循情况下，设计了崇阳县华陂区1：2.5万土地类型图的编图程序，采用了求积仪配合方格网量算面积的方法。

Reserves ; volumetric method ; planimeter ; boundary ; area

地质储量；容积法；求积仪；边界；面积

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。