numerical integration

Based on the solid propellant burning rate formula, a new method for the combustion time determination during the data treatment in solid rocket motor firing test was studied with a method of numerical integration and interpolation.

以固体推进剂燃速公式为基础，采用计算力学中的数值积分及插值法，并利用计算机技术，研究了用燃烧室药柱的实际肉厚，确定固体火箭发动机试验曲线中燃烧时间的新方法。

Discussed commonly used probability statistical distribution and numerical computing methods for solving mathematic problem ( such as non-linear equation and numerical integration, etc.), which offered scientific basis for fetching value of the data;

讨论了常用的概率统计分布和解决数学问题的数值计算方法（解非线性方程和数值积分等），为数据的取值提供科学依据；

How Navigation Satellite Orbit Numerical Integration Affected by Shadow Model and Its Correcting Methods

地影模型对导航卫星轨道数值积分的影响及改进

Numerical integration on Green source function with free water surface

无航速具有自由液面的三维脉动源Green函数的数值积分方法

Implicit numerical integration algorithm for hypoplastic constitutive model

亚塑性本构模型的隐式数值积分算法

Causes of Less Fitting and Improvement of Temperature Component in Dam Displacement Monitoring Model Based on Rayleigh Distribution and Numerical Integration

大坝位移监控模型温度分量的欠拟合原因及改进

The Thermal Radiation on Determining Numerical Integration of Time Response of the Thermocouple Measurement

热辐射对热电偶测温响应时间的数值积分确定

Almost all the classical methods of numerical differentiation, numerical quadrature and numerical integration of ordinary differential equations are directly derivable from interpolation formulas.

几乎所有的经典数值微分、数值求积和常微分方程的数值积分公式，都可以从插值公式中推导出来。

A varying time step explicit numerical integration algorithm for solving motion equation

求解运动方程的一种不等时间步长的显式数值积分方法

An untraditional numerical integration scheme, i.e., Chebyshev points quadrature ( CPQ), is suggested by us to form the elemental mass matrix and stiffness matrix.

一种由我们提出的，不常用的数值积分方案，即切比雪夫点积分方案（CPQ），被用来生成单元质量矩阵和刚度矩阵。

This paper presents the pulse signal spectrum bandwidth using Romberg numerical integration algorithm under a certain energy wastage required. A reconstruction signal is obtained by Fourier Series, and the optimum bandwidth of the measurement system is also presented.

本文用Romberg数值积分法计算出在一定能量损耗限值要求下的脉冲信号频谱宽度，并用付氏级数对其进行了信号重构验证，据此得出了脉冲信号测试系统带宽的最佳值。

The Romberg algorithm for numerical integration and the splitting extrapolation procedure for an integral equation on the polygonal domain

多角形区域上的数值积分的龙贝算法与积分方程的分裂外推解法

Because the Duhamel integration of piecewise polynomial is exact, the proposed solution is more accurate and computationally effort saving than the traditional numerical integration schemes.

由于分段多项式的Duhamel积分是有精确解，因而和一般的数值积分法相比，本方法不但具有较高的计算精度，而且大大减少了计算工作量。

A class of midpoint formulas for numerical integration and its error analysis

一类数值积分的中点公式及其误差分析

Comparing with the directly numerical integration method the computation efficiency of the proposed algorithm is3 times faster.

通过数值算例验证了该计算方案的正确性，而且该方案相比直接积分方法，可提高计算效率达3倍以上。

Analysis of stable reliability for sluice based on direct numerical integration

基于直接积分法的水闸稳定可靠度分析

Numerical examples show that the present scheme exhibits excellent performances in computation efficiency and accuracy when compared with the QAC element using numerical integration and the isoparametric element.

通过算例比较了面积坐标单刚解析式、数值积分方法以及等参元的计算效率和精度。结果表明基于面积坐标方法的单元刚度矩阵解析式在这两方面确实具有明显的优辨。

The soft of total probability methods using numerical integration means shows feasibility by some examples and it gives thinking and method for the precise theoretical solution of mechanical parts reliability.

以数值积分法为工具，编成全概率法设计软件，并通过算例验证和程序可行性论证，它为机械零件可靠度精确理论解法提供了思路和方法。

This paper presented a kind of asymptotic expansion, which is an extension of well-known Euler-Maclaurin formula, Based on this expansion, a new type of Romberg numerical integration method can be constructed.

其特例为著名的Euler-Maclaurin公式。在本文给出的渐近展开式的基础上，可设计带导数项的Romberg数值积分法。

Realization of the economical evaluation system for GTCC inlet air cooling based on numerical integration

基于数据集成的GTCC进气冷却经济评价系统程序实现

Moreover, sometimes the time-dependent potential in the NLS equation cannot be integrated exactly which weakens the advantage of the split step method, so numerical integration is utilized by the author.

另外，考虑到NLS方程中依赖于时间的势函数有时候是不能关于时间变量精确积分的，这样就减弱了分裂步方法的优势。

The results do not contain the transient components in numerical integration, because they are steady-state solutions.

因结果是稳态解，故结果中不像时域数值积分那样含有瞬态成分，可以直接反映系统参数与系统性能间的关系。

Adoption of examples to learn from numerical integration and numerical differential solve practical problems.

通过实例学习用数值积分和数值微分解决实际问题.

A Numerical Integration Method for Quantitative Fiber Texture Analysis on the Cubic System Materials

立方系材料反极图上纤维织构组分定量的数值积分法

The relativistic Emden functions for n < 0 are obtained by numerical integration.

通过数值积分得到了n

In combination with the Monte numerical integration, the ITZ area fraction was obtained.

应用计算机模拟研究了混凝土界面面积分数和渗流阈值.

A numerical integration method on Green source function with free water surface and zero advancing is proposed.

提出了一种计算无航速具有自由液面的三维脉动源Green函数的方法。

Effect of Changing Time Coordinate of Seismic Accelerogram on Structural Response by Numerical Integration

地震记录时间坐标的改变对数值积分结果的影响分析

Total Discrete Finite Element Method under Numerical Integration for the Nonlinear Hyperbolic Equation

非线性双曲型方程数值积分下的全离散有限元解法

This paper establishes the differential equations of motion of space explorer according to the Newton's Laws of Motion and the universal gravitation, computes the flying orbit of Saturnian explorer, taking the Saturnian explorer as the computational example and using accurate numerical integration method.

根据牛顿第二定律和万有引力定律，建立了空间探测器的运动微分方程，并以土星探测器为例，利用精确的数值积分方法对其轨道进行了设计和计算。