数值方程

Using level-set method, mathematical representation for contimuum structures is proposed by means of the vector of level-set, and the general structure topology optimization can be expressed by a constrained functional minimization problem of a set of level set functions.

其次利用水平集方法将一般拓扑优化问题描述为一组水平集函数的约束泛函极小化问题，应用敏度分析，给出了此泛函极小化数值迭代求解公式，即水平集演化方程。

E. the discrete scheme of FBEM and the inner damping method of continuity equation, the author made numerical analysis of viscous flow field in cascade and cascade experiment in the experimental wind tunnel of Section 204 of Harbin Institute of Technology. The calculated results are in agreement with the experimental ones.

为进一步验证本文提出的有限边界元素法离散格式和连续方程的内部阻尼法的可行性，作者对叶栅内的粘性流场进行了数值分析，并与在哈尔滨工业大学204教研室的实验风洞上进行的叶栅实验结果进行了比较。

Consequently ,the paper makes out experimental investigation and numeric calculation for phenomenon of water hammer, and deeply proves that the continuity equation for water hammer calculation is false by comparing and analyzing them.

接着，进行了水击现象的试验研究和数值计算，并将二者进行了比较分析，进一步证明前面分析的结论，水击计算的连续性方程确实是错误的。

Based on the modal superposition method and the exact solution of beam nature vibration, the motion equations of the simply supported and continuo...

基于模态叠加法和梁固有振动的精确解，建立了移动荷载作用下简支梁和连续梁的运动方程；利用样条最小二乘法逼近桥梁应变响应，由样条数值微分求得响应导数；再通过Tikhonov正则化方法结合奇异值分解技术得到了荷载识别的正则解。

Applying the Euler method to the equation and particularly using the interpolation technique on variable delay, the Euler approximation is obtained. The discrete Euler approximation is extended to the continuous Euler approximation. It is proved that the Euler numerical solutions will converge strongly to the true solution under the local Lipschitz condition.

对方程应用欧拉方法，特别地对变延迟部分运用插值技巧进行数值离散后，将离散的欧拉格式延拓为连续的欧拉格式，从而得到欧拉格式在局部Lipschitz条件下强收敛到解析解。

A numerical simulation to the whole motion differential equation is finished, and a continuous angular displacement curve of micro reflectmirror is obtained.

通过对该模型的完整机电动力学微分方程数值求解所作的运动仿真，得到了微镜基板的连续角位移曲线，表明该装置具有良好的光束稳定特性

Therefore,the study of the numerical solution method for convection diffusion problems is important in theoretical and practical.

因此，研究对流扩散方程的数值解法有很重要的理论和实际意义。

By improving the Holder condition which the divided differences of order one satisfy,we obtain radius of convergence ball the uniqueness ball.All the theoretical conclusions are tested and verified by a numerical example.

通过改进一阶差商所满足的Holder连续条件，得到了两点弦截法的收敛球半径和方程具惟一解的球半径，并用数值例子验证了理论结果。

Using the method of convolution model and wave equation numerical simulation, This paper systematically studied several kinds of typical geologic bodies.

4利用褶积模型和波动方程数值模拟方法对几种典型的地质体进行了系统的模拟研究。

A curve coordinate system is established in which the original problem may be reduced to a fixed boundary problem over a rectangular region and thus may be solved by difference methods .

给出了一种用曲线坐标求解椭圆型偏微分方程自由边值问题的数值解法；该方法通过引入两个辅助问题，它们构成一个曲线坐标系。

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