数值方程

Boundary element method is a kind of numerical algorithm on boundary; it is based on the boundary integral equation and employs the element discretization technique.

边界元属于边界型的数值方法，它是以边界积分方程为数学基础，同时采用了有限元法的单元离散技术。

At present the numerical simulation of electromagnetic method of finite difference method, finite element method, boundary element law, integral equation method, and so on were commonly used in the exploration.

目前电磁法勘探中常用的数值模拟方法主要有：有限差分法、有限单元法、边界单元法和积分方程法等。

The dynamic response of the soil-pile system was yielded by numerical solution of the integral equation.

对积分方程的数值求解可得桩在瑞利波作用下的动力响应。

Local boundary integral equation method developed recently is a new efficient and flexible numerical method.

无网格局部边界积分方程方法是一种近期发展起来的数值方法。

The integral equation can be simplified by means of Laplace transforms methods.

最后对所得的积分方程进行数值求解得到桩的剪力、弯矩和位移。

Results on existence and uniqueness of the solution for the diffraction problem are obtained by variational method and integral equation method, respectively.

考虑一类具有周期系数的Helmholtz方程，它是一类衍射光栅问题的数学模型，研究这类问题的数值解法。

In Chapter Five, we compare numerical integration of the reproducing kernel with the integral equation of complexified trapezoid through a detailed solution to the initial-value problem of ordinary differential equation to exemplify that the method of interpolation spline integrating and the reproducing kernel is not only feasible in theory but also significant in pratice.

在第五章，我们通过具体的求解一个常微分方程的初值问题，把再生核方法的数值积分和复化梯形积分公式相比较，说明样条插值和再生核相结合的方法不仅是理论上可行的，而且还具有重要的实际意义。

Influence of simulation parameters on simulation precision of the springback, such as elements type, material types, constitutive equations, integral point selections, contact conditions, friction rules, and like that, has been analyzed.

分析总结了数值模拟中模拟参数（有限无算法、单元类型、材料模型、本构方程、积分点选取、接触和摩擦法则等）对回弹模拟精度的影响。

The deformed metal-SWNTs and metal-TCNTs can be transformed to semiconductor or insulator due to deformations resulting to variation of the atomic structure and the nearest-atom transfer integral having relation with the directions.Based on the Boltzmann transport equation and n - electronic energy dispersion relations for individual SWNTs, the theoretical model caculating the current and conductance of the SWNTs is deduced. The low-temperature conductances of undoping or doping SWNTs are studied numerically, the calculated results show that, for the doping SWNTs, the conductance is quantized, i.e.

我们从Boltzmann方程出发，并结合SWNTs的能量色散关系，导出了计算手性SWNTs电导或电流的理论模型，并分别对非掺杂和掺杂SWNTs的低温电导或电流进行数值计算，结果表明：对于非掺杂的SWNTs，其电导是量子化的，即电导随偏压或电子输运能量变化呈跃变的台阶式结构，这些结构随管径增大或温度升高变得不明显；对于掺杂SWNTs，当偏压为某些特定值V_i时，传导电流有跃变，且传导电流的大小、跃变周期及跃变幅度等不是完全由掺杂后的电子浓度决定的，而与管半径R及掺杂后Fermi能级附近的电子态密度有直接关系，随着温度的升高和管径的增大，跃变结构趋于平滑。

The vector surface integral equation can't be applied to numerical computation directly because its integrands possess the high order singularity.

矢量的面积分方程因其被积函数具有高阶奇异性，不能直接应用於数值计算。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新