数值微分

一类ECT函数系的数值微分公式的余项

On Remainders of Numerical Differentiation Formulas in ECT System of Functions

用Tikhonov正则化方法求一阶和两阶的数值微分

The numerical differentiation of first and second order with Tikhonov regularization

Lagrange型高阶数值微分公式代数精度的探析

Analysis of Precision for Lagrange Type High-Order Numerical Differential Formulas

根据GPS测量的速度计算地应变是地球动力学研究中非常有意义的一项工作，但计算时涉及数值微分，如何减小其计算误差是一个突出的问题。

Computation of geo - strain by GPS data is significant in geodynamics . However , it involves digital differential and how to minimize the error is a prominent problem .

数值微分法在潮汐资料的Nakai处理方法中的应用

Application of numerical differential in Nakai process of tidal data

借助该性质的思想，运用扰动核方法和Fourier截断方法我们研究了高阶数值微分和一个二维逆热传导问题。

Following the idea of the property , we employ a method of perturbing kernel and a Fourier truncation method for high order numerical differentiation and a two-dimensional inverse heat conduction problem .

用云纹法、散斑法等实验方法获得平面问题位移场，即u、v条纹图后，求应变（或应力）的方法有数值微分法、光学微分法和有限元法等。

There have been some methods , such as numerical differentiation , photographic differentiation and the finite element method , etc , to calculate strains from the u , v fringe patterns that obtained by means bf moire methods and speckle methods .

本文以纯Y2O3中杂质元素的ICP-AES测定为例，研究用数值微分技术解决光谱干扰同题。

This paper deals with the numerical differentiation for the correction of spectral interferences in ICP-AES with a computer program developed in our laboratory , taking the determination of trace impurities in high-purity yttrium oxide as an example .

方法一是利用Tikhonov正则化方法，通过构造一个五次样条函数研究了不等距分布下的高阶数值微分问题。

Solution 1 is to research the question of higher order numerical differentiation under non-uniform distribution by using Tikhonov regularization method and constructing a five order spline funtion .

数值微分法、中点法、Bresenham算法是直线扫描算法中的三个常用算法，这三个算法均未讨论斜率大于1的情形。

Digital Differential Analyzer , Midpoint Analyzer and Bresenham are three algorithms don 't discuss the state that the slope 's absolute value is above one .

根据模拟的CHAMP卫星星历，分别采用基于牛顿运动定律的数值微分法和基于能量守恒定律的能量守恒法建立观测方程，恢复出50阶次的重力位系数。

In this paper , observation equations are constructed according to the numerical differentiation based on Newton 's law of motion and the energy conservation respectively . The gravitational potential coefficients are recovered until degree 50 based on simulated CHAMP ephemerides .

本文介绍了对非准确的离散数据进行数值微分的两种局部拟合微分法（递增多项式法和Chebyshev多项式法）及其在疲劳裂纹扩展速率实验数据处理与寿命予测等方面的应用。

In this paper , two local fitting and differentiation ( the incremental polynomial method and the Chebyshev polynomial method ) in numerical differentiation for non-accurate discrete data are described , and so are the applications in data processing of fatigue crack growth rate tests and in life prediction .

在研究宏观空间运动特性的基础上，利用数值微分作为表达工具描述未知运动过程的动态特性，构造了数值微分型滤波模型（NDFM）和数值微分型滤波-预报联合模型（NDFPM）。

Researching the characters of macro motion , numerical differentiation is introduced to describe dynamics of unknown kinematics process , then the filtering model of numerical differentiation ( NDFM ) and the combined filtering-predicting model of numerical differentiation ( NDFPM ) are constructed .

具有四阶代数精度的四点数值微分公式及应用

4-Order Precision Numeric Difference Formula with Four Nodes and Application

求解数值微分公式及其余项的一种新方法

A New Method of Solving Numerical Differentiation Formulae and Its Remainder Term

数值微分问题正则化解的局部性质

A Local Property of the Regularized Solutions for Numerical Differentiation

二阶三点数值微分公式的外推算法

The extrapolation method of two-order and three-point numerical differential formulas

一种带噪声的周期函数数值微分方法

A Numerical Differentiation Method for Period Function with Noisy Data

用数值微分法进行弯扭作用下拱的稳定性分析

Flexural Torsional Buckling Analysis of Arches Using Differential Quadrature Method

数值微分法求解光纤弯曲时的光线轨迹

Calculation of ray trace in bending fiber with numerical differentiation

确定凸轮廓线曲率半径的数值微分法

Determination of Curvature Radius of Cam Profiles Using Numerical Differentiation

未知目标函数之一阶数值微分公式验证与实践

Verification and Practice on First-Order Numerical Differentiation Formulas for Unknown Target Functions

采用数值微分方法直接对测试系统的结构参数进行估计，可以直接得到测试系统的结构参数，具有简单明了的特点。

Numerical differentiation is applied to estimate the structural parameters of measurement systems .

实测压力数据的预处理及数值微分方法

Methods of pretreatment and numerical differential for pressure data

本文提出一种整体数值微分方法。

In this paper , a method of global numerical differentiation is given .

带扰动数据的数值微分的中心差分法

Centered difference method for numerical differentiation with noisy data

数值微分法确定一级反应速率常数

Determination of the Rate Constant of the First Order Reaction by Numerical Differentiation

一类求数值微分的正则化方法及算例

A Regularization Method and Example for the Numerical Differentiation

二阶导数的五点数值微分公式及外推算法

Extrapolation method of five-point numerical formulas for two-order derivative

样条插值函数误差的渐近估计式及其在数值微分中的应用

Asymptotic Error Estimations for Spline Interpolation Function and Their Applications in Numerical Differentiation