数值微分

At the same time, numerical solutions of delay differential equation can also give birth to EPCA.

常微分方程的数值求解可以自然的产生EPCA，时滞微分方程的数值求解也可以产生EPCA。

In Chapter 2, starting from the basic fractional ordinary differential equations,weapply a high order approximation of fractional derivative advanced by Lubich to frac-tional differential equation, construct a high numerical difference scheme to solve thefractional differential equation, present error analysis of the algorithms theoretically,and prove the consistency ,convergency and stability.

接下来的第二章中，首先从基本的分数阶常微分方程出发，对Lubich提出的一个关于分数阶导数的高阶近似，将其应用于分数阶微分方程，构造高阶数值差分格式来进行分数阶微分方程的数值求解，并在理论上给出这一算法的误差分析，证明了它的相容性，收敛性和稳定性。

In most situations, the polysome system dynamic equation is the non-linearity the ordinary differential equation or the differential - algebra system of equations, it is generally obtains the equation through the computer value simulation then get the numerical solution, then through to numerical solution analysis, understanding polysome system dynamics characteristic.

多数情况下，多体系统的动力学方程是非线性常微分方程或微分-代数方程组，一般是通过计算机数值仿真得到方程的数值解，然后通过对数值解的分析，了解多体系统的动力学特性。

In the present work,the existence and uniqueness results aboutperiodic boundary value problems for different kinds of the nonlin-ear periodically perturbed nonconservative systems are establishedthrough the discretization technique,under suitable assumptions,by using global inverse function theorem and result about the ex-istence and uniqueness of periodic solution for nonhomogeneouslyfirst order linear periodic boundary value problem.

本文的第一章概述了在讨论原问题解的存在唯一性过程中以及构造和分析相关的数值求解方法时将要用到的全局反函数定理、有关矩阵特征值的若干重要引理、线性常微分方程非齐次周期问题解的存在唯一性定理和单参数影射方法及有关结论，并简单回顾了已有的证明非线性微分方程周期边值问题解的存在唯一性的方法，其中包括谱理论、最大最小化形式方法、摄动技术和全局反函数理论方法，最后，介绍了两类数值求解非线性微分方程问题的方法。

In the numerical differentiation matlab, useful midpoint formula, adaptive method, Richardson extrapolation methods such as France seek the derivative of the function, the algorithm of the program implementation in the document have been given.

详细说明： matlab中的数值微分，有用中点公式，自适应法，理查森外推算法等方法求函数的导数，算法的程序实现在文件中都已经给出了。

The results obtained from three different methods—the conventional numerical differentiation, the discrete wavelet transform method and the proposed continuous wavelet transform method were compared, it was demonstrated that the results are similar for signals without noise, but the signal-to-noise ratio of the result obtained by the CWT method is improved greatly comparing with the former two methods for noisy signals.

通过数值微分法、离散小波变换法及连续小波变换法对模拟信号的求导结果表明：对于无噪音的信号，三种方法的结果相似，而对于含有噪音的信号，连续小波变换法所得结果的信噪比明显高于前两种方法。

The first and second derivatives of the coordinates of a cam profile are calculated using numerical differentiation method,and substituted with curvature radius formulas in calculus,thus obtaining its curvature radius.

应用数值微分法计算凸轮廓线坐标的一、二阶导数，代入微积分学中曲率半径公式，即得凸轮廓线的曲率半径。

According to the mth power Newtomian Inside-Insert Polynomial and its numerical differentiation, the most important kinetic parameters for the cell growth-specific growth rate-its calculation expressions at all the experimental points are inferred.

利用m次牛顿插值多项式和它的数值微分公式，表征菌体细胞生长的最重要的动力学参数——比生长速率在各实验点的计算表达式被推导出来了。

The depletion potential of charged colloidal system is studied by the Monte Carlo method through the Acceptance Ratio method, and the depletion force can then be calculated by numerical differentiation of the depletion potential .

用MonteCarlo方法模拟了带电胶球系统，采用接受率方法获得该体系的耗尽势，再对耗尽势取数值微分得到耗尽力，通过对耗尽力与库仑力的对比分析，初步建立起在两带电大胶球比较靠近范围内耗尽力仍起明显作用的带电胶球模型。

The general principle and the applications of numerical derivative zero crossing method is described for resolving overlapped spectra of binary system.

在简述数值微分零交点法分辨重叠谱的原理基础上，研究了该方法对不同分离度的两组分重叠谱图的分辨效果。

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。