查询词典 approximation error

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 this thesis, we use the Min-Max criterion and Parks-McClellan algorithm to design this optimal approximation error of spectrum. Moreover, we give constraint of this optimal spectrum to get the positive spectrum. Then the positive spectrum can be factored by Spectrum Factorization Theorem and can be realized by FIR system.

我们利用最小化最大误差指标，及Parks-McClellan演算法，设计出具有最佳误差的频谱，并对此频谱做限制式上的处理，来得到正数列频谱，并将所得到之正数列频谱利用分解理论做分解，并以FIR系统实现之。

The absorbing performance of one dimensional PML is theoretically analyzed and numerically simulated in view of the error caused by finite difference approximation, respectively, whose results show that this theoretical analysis can exactly indicate practical circumstances.

在计及有限差分近似造成的误差下，理论分析和数值模拟了一维理想匹配层的吸收性能，结果表明这种理论分析能完全反映实际情况。

In Chapter 4, we consider more complex fractional nonlinear differential equation,also using the high order approximation presented by Lubich to construct correspond-ing numerical scheme and giving the error analysis of the algorithms.

在第四章中，进一步的考虑更复杂的非线性分数阶常微分方程，同样利用的是Lubich提出分数阶导数的高阶近似，构造相应的数值格式，并给出这一算法的误差分析，即相容性，收敛性和稳定性的证明。

For nonlinear friction force in hydraulic position tracking system, partition compensation is to solve the problem of large approximation error caused by non-smooth characteristic of friction when the whole friction is compensated by one fuzzy neural network.

针对液压位置跟踪系统中的非线性摩擦力，提出对摩擦力模型的不同分量分别进行补偿的分部补偿算法，以解决用模糊神经网络对摩擦力整体进行补偿时，因摩擦力非光滑特性引起较大逼近误差的问题。

Next, we study the case when the approximation spaces are the anisotropic linear triangular element and a new conforming triangular Hermite-type one, by taking advantage of a series of new approaches, the convergence analysis of hyperbolic type integro-differential equations is provided, the error estimates are also obtained .

其次，把逼近空间分别取成具有各向异性特征的协调线性三角形元和一个新的二次Hermite型三角形元，针对双曲型积分方程，给出了相应的收敛性分析及其误差估计。

The error caused by interpolation and approximation is proven to be controllable.

还证明了插值和逼近所引起的误差是可控的。

Based on the optimal approximation of spline interval wavelet,theinterpolation error estimation is given.

Daubechies的估计。

Varnhorn applied the method of approximate approximation to functions which are defined on compact intervals and investigated the error.

Varnhorn给出了一维紧区间上函数的近似逼近方法，而且还可以控制近似逼近的截断误差。

Aimed at the optical radar system that commonly used by shooting range,based to the light-wave radial′s operation trajectory in atmosphere,and using the method of successive approximation,we obtained an applied atmospheric refraction error correction method of optical radar.

针对靶场常用的光学雷达系统，根据光波射线在大气中的运行轨迹，利用逐次逼近法得到了实用的光学雷达大气折射误差修正方法。

Pachomius manual labour was organized as an essential part of the monastic life; and since it is a principle of the monks as distinguished from the mendicants, that the body shall be self-supporting, external work of one sort or another has been an inevitable part of the life ever since.

根据圣pachomius体力劳动组织作为一个重要组成部分寺院生活；以来，这是一个原则的和尚，作为有别于乞丐，该机构应自支撑，对外工作的这种或那种已一个必然的一部分，生活至今。

In order to study the effects of parametrical rolling on the ship movement and tilts, in allusion to ship's navigating in regular following waves, the equation of ship rolling motion is transformed into normal Mathieu equation by proper variable replacement when strong parametrical excitation in restoring moment varied according to sine or cosine wave.

为研究参数横摇对船舶运动和倾覆的影响，通过对船在规则波上随浪航行时，恢复力矩中出现的1个以正余弦规律变化的强参数激励项进行适当的变量置换，将船舶的横摇运动方程转换成标准形式的Mathieu方程。