数值计算

Through theoretic analysis and numeric calculation, it studies kinetic characteristics and pollutant transform laws of the 2nd Songhua River Water; emphasizes parametric recognition for Frechet derivative regularization based on Dobbins-Camp BOD-DO coupled model in water quality simulation and how to make estimation.

通过理论分析和数值计算，研究二松江江水运动特性和污染物转化规律；重点研究了水质模拟中基于Dobbins BOD-DO耦合模型的Frechet导数正则化参数识别法进行估计，确定目标函数后，通过优选技术确定水质参数。

Based on the Biot s two-phase theory for fluid-saturated porous media, considering the inertia force of the solid and the liquid, and the coupling function between the solid and the liquid, and the compressibility of the liquid in allusion to the character of the nearly saturated soils. The dynamic governing differential equations are solved by Hankel transform. Then, considering the boundary condition, the dual integral equations of vertical vibration are established which are reduced to Fredholm integral equation of the second kind.

本文基于Biot两相介质动力固结理论，针对准饱和土地基的特点，考虑了流体的可压缩性，土体和流体的惯性及水土之间的耦合作用，运用Hankel变换技术求解动力控制方程，然后按混合边值条件建立起对偶积分方程，并将其化为易于数值计算的第二类Fredholm积分方程，分别研究了准饱和土半空间地基、上覆单相弹性层的准饱和土地基和准饱和粘弹性地基上刚性基础的竖向振动特性。

The formula of numerical computing is presented with discretion for Fresnel diffraction and phase numerical reconstruction of wave front.

从光的菲涅耳衍射、波前相位重构入手，对连续信号进行了离散化处理，给出了数值计算公式。

By Galerkin meshless method, the equations of motion of static rectangular membrane is established. The first ten natural frequencies of the different aspect ratios and the different pull ratios of rectangular membrane with four clamped edges, three clamped edges and one free edge, two opposite free edges and other two clamped edges were calculated. It is feasible and valid to solve the transverse vibration problem of membrane by Galerkin meshless method.

采用伽辽金无网格法，建立了矩形薄膜横向自由振动的运动方程，并对四边固支、三边固支一边自由、一对边固支另一对边自由三种边界条件下，薄膜的不同长宽比及不同单位长度拉力比作用下的矩形薄膜的前十阶固有频率进行了数值计算，结果说明伽辽金无网格法用于求解薄膜横向振动问题是切实可行的。

Natural element method is a recently developed meshless method and is essentially the Galerkin method based on natural neighbour interpolation.

自然单元法是一种新兴的无网格数值计算方法，其实质是基于自然相邻插值的伽辽金法。

In soil mechanics theory, the soils are regarded as continua as a rule after the substance morphology is fallen into gaseity, liquid and solid. Now the continuum theory is used in most of numerical methods.

尽管连续介质的假设与实际情况不相符合，目前大多的数值计算方法都是用连续介质力学的思路去分析和研究土的力学性状。

A Gaussian beam is expanded intothe sum over a set of plane waves with the aid of the plane-wave spectrumtechnique.

文中应用电磁散射理论重点分析亚毫米高斯波通过金属栅网的散射特性，通过数值计算、仿真及实验测量分析金属栅网的近场散射特性。

The propagation equations for oblique and off-axial Gaussian beams passing through cat-eye optical lens are deduced by using the theory of matrix optics and expanding the aperture function into a finite sum of complex Gaussian functions.

运用矩阵光学理论以及将硬边光阑窗口函数展开为有限个复高斯函数之和的方法，进一步推导了倾斜离轴高斯光束通过猫眼光学镜头的解析传输公式，通过数值计算分析得到了倾斜系数和离轴量对猫眼效应反射光光强分布的影响规律。

The analysis of the examples of this class of generalized filled function show that the lower bound of the parameter is usually smaller than others.

最后的数值计算结果也进一步表明这类广义单参数填充函数是一类有效的填充函数。

And the effects of the geometrical dimensions of the grating on high frequency characteristics of system were analyzed.

并针对矩形栅的两种典型结构进行数值计算，分析了金属栅的几何尺寸对系统高频特性的影响。

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