数值微分

Based on the modal superposition method and the exact solution of beam nature vibration, the motion equations of the simply supported and continuo...

基于模态叠加法和梁固有振动的精确解，建立了移动荷载作用下简支梁和连续梁的运动方程；利用样条最小二乘法逼近桥梁应变响应，由样条数值微分求得响应导数；再通过Tikhonov正则化方法结合奇异值分解技术得到了荷载识别的正则解。

The Savitzky-Golay differentiator can efficiently reduce the noise amplification effect of the numerical differentiation operator in axial strain calculation of ultrasound elastography.

采用Savitzky-Golay差分器可以有效地减小超声弹性成像的纵向应变计算过程中数值微分操作对于噪声的放大作用。

The authors studied carefully two numerical differential methods, finite difference method and rational polynomial technique, and pointed that FDM is the special ease of RPT when the limit state function is linear. Accordingly, FDM3 can be used for the continuous linear limit state function and RPT5 for the continuous nonlinear limit state function. For the discontinuous limit state function, RPT should be used because of the large error of FDM.

对于可靠度分析中常用的有限差分法及有理多项式法这两种数值微分方法，本文详细研究了二者间的异同及其求导结果与步长的关系，指出了对于相同的步长控制系数及取样方式，FDM是RPT在线性情况下的特例；对于连续的线性功能函数，可直接用3点FDM求导；对于连续的非线性功能函数，可用5点RPT求导；对于非连续的功能函数，应采用RPT求导。

In the text, differential coefficient method and numerical value differential coefficient method have been introduced for crank slide block machine accuracy analysis, and influence of the fitting clearance of moving pair to component moving error has been given.

文章介绍了微分法及数值微分法曲柄滑块机构精度分析，说明了运动副的配合间隙对构件运动误差的影响。

The numerical differentiation is often used when dealing with the differential equations.

当求解微分方程问题时，数值微分是常用的方法，将微分方程转化成代数方程组求解。

IDFwas proposed recently to solve the problem in control.In this paper,we study the frequency characteristics of IDF,and then compare it with that of numerical differentiation and typical differentiator.

研究了IDF的频率特性，并与数值微分频率特性、典型微分环节的频率特性进行了比较，然后对其进行了误差分析。

This paper presents a study on modeling the stability of dump slope using the techniques of limit equilibrium, numerical simulation, and numerical differentiation.

针对废渣场的废渣材料软硬比例发生了不利于堆放边坡稳定的特殊情况，应用极限平衡法、数值模拟及数值微分对渣场稳定进行分析计算。

The closed-form expressions are derived so that all required differentiations are obtained in closed form and numerical differentiation can be avoided.

特别是对微带和缝隙混合结构的空域MoM分析，旋度算子的微分在谱域进行，并可以给出它们的解析表达式，其对应的空域格林函数可通过高阶的Sommerfeld恒等式获得，从而避免了数值微分。

This course provides a basic introduction of topics such as: interpolation, solution of nonlinear equations, curve fitting to measured data, numerical linear algebra, numerical integration, numerical differentiation, etc..

本课程介绍内容包括：内插法，非线性方程式求解，曲线近似法，线性代数数值运算，数值积分，数值微分等课题。

Through examples of learning to use 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。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。