查询词典 numerical computation

The physical property data vary from different numerical simulation applications. For example, in the simulating computation of hydromechanics, the physical quantities to be computed are pressure, density, temperature and velocity.

物理属性数据随着数值模拟应用的不同而不同，比如在计算流体力学模拟计算中，需要求解的物理量包括压力、密度、温度、速度等。

A modified backward Euler method is developed which enables to increase considerably the accuracy of jump voltage computation as a result of freeing its computing from the influence of the faint asymmetrical initial current in such an inductive circuit as converter and completely eliminate numerical oscillation in converter simulation as often seen in the case of implicit trapezoidal integration method.

本文提出一种变形的后退欧拉法，用该法对换流器这样的纯电感电路进行跃变电压计算，可完全避免初始电流中微弱的不平衡对跃变电压计算的影响，大大提高了跃变电压的计算精度，并彻底消除了隐式梯形积公法用于换流器仿真时所存在的非原型数值振荡。

Firstly, Wavelet-Galerkin algorithm for solving the first kind of singular integral equation with the Hilbert kernel is proposed, we use the characteristic of periodic wavelet on L~2([0,1]) and Hilbert kernel to solve and make stiff matrix lower dimensions and become sparser through thresholding,thus the cost of computation is reduced. Because of the singularity of Hilbert kernel we use Tikhonov regularization method to solve the system of stiff equation. At last the convergence and numerical result of approximate solution are given. Secondly, an approach of regularization based on Fourier is presented for sideways heat equation; we give the theory proof and error estimate.

首先，提出了含Hilbert核的第一类奇异积分方程的小波伽辽金(Wavelet-Galerkin)数值算法，该算法中利用了L~2([0，1])上的周期小波和Hilbert核的特点进行处理，使得刚性矩阵维数降低并且通过阈值使得它更加稀疏，减少了计算量；由于Hilbert核的奇异性，通过Tikhonov正则化方法求解所得到的刚性方程组，给出了收敛性和数值结果；其次，对标准的一维逆热传导方程给出了一种基于Fourier正则化方法，给出了理论证明及其误差估计，解决了文献中算法与理论误差估计的不相匹配的现象，该正则化方法不仅保留了测量数据的部分高频成份，且与文献中的算法具有同样的计算量和误差估计。

These constructional methods can be used to treat many problems, the numerical results show that the given interval extension has smaller excessive width relative to the range of the functions over a domain. For univariate differentiable functions, the definition of interval slope is extended from the first order to high order according to their differentiability, and iterative formula of high-order interval slope computation is also developed.

对多元函数，在不要求函数的可微性及有关Lipschitz常数的条件下，给出了分量函数区间展开的斜率算术运算规则；利用函数局部凸或凹的运算特点，通过递归计算建立了多元函数区间扩张的构造方法。

When a natural gas network is done off-line numerical simulation,every pipeline needs be distributed initiatory flow as the initiatory value of iterative computation.

引言在对天然气管网进行离线数值模拟计算时，需要给各管段分配初始流量，作为迭代计算的初始值。

In addition, the numerical linear independence theory is further discussed and the computation of the degree of linear independence is simplified.

文中进一步讨论了数值线性独立理论，并简化了新方法中线性独立度的计算。

The numerical results presented are compared with the results obtained by the traditional method of moments. It is shown that, especially for electrically large targets, the complexity of computation is obviously reduced without sacrificing much accuracy.

将计算结果与传统矩量法计算的结果进行了比较，数值结果表明：在不影响精度的前提下，尤其是对于电大目标问题，本文方法的计算效率大大提高。

The burning and decomposition in the precalciner was studied by numerical simulation,The nonslip model was applied to the burning of coal and the decomposition of CaCO_3 in the gas flow,Ageneral-purpose software used in computation was developed.

运用气、固无滑移流动模型及燃烧、分解的化学反应方程组，数值模拟了SLC型分解炉内的气－固流动场、温度场、颗粒浓度场及气体组份场，开发出通用计算软件。

Mathematica can be used to address the various areas of complex numerical and symbolic computation problems.

Mathematica可以用于解决各种领域的涉及复杂的符号计算和数值计算的问题。

Numerical examples show high computation accuracy and low computational cost of this method.

给出的算例表明此法具有精度和计算效率较高的优点。

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。