数值方程

A closed-form solution of these equations is not available. Therefore, numberical methods are used for their solution.

这些方程的精确解是不可能的，但是可以采用数值方法来计算。

The numberical simulation of sucker-rod pumping systems is a mathematical method based on wave eguation to analyse the behavior of the systems.

有杆抽油系统的数值模拟是以波动方程为基础研究系统工作动态的数学方法。

Oil-field development ; optimal control ; numberical simulation ; mathematical programming/differential equations of percolation

油田开发；最佳控制；数值模拟；数学规划/渗流微分方程

This method is easier to numerate implementation than the traditional time domain method of moment.

与传统求解时域电场积分方程的时域矩量法相比，该方法易于数值实现。

A general Godunov finite difference schemes-WENO (Weighted Essentially Non-Oscillatory) schemes which have fifth-order accuracy is used to perform a numerical calculation for 2-dimensional axis symmetrical laser-supported plasma flow field under laser ablated solid target.

采用具有五阶精度的WENO差分格式和简易等离子体状态方程模型对激光与等离子体相互作用的复杂物理过程进行了数值计算，分析了激光束能量在等离子体区中的吸收、屏蔽效应等动态耦合规律以及激光支持等离子体前驱冲击波传播。

The numerical solutions for different coefficient and different boundary conditions are obtained for two models of radon field which have respectively source in the side and inside of collapse column.

根据流体场的扩散理论和对流理论，建立了扩散系数与对流速度为常量或变量情况下的氡气场三维状态方程；对于陷落柱柱体侧面有源氡气场和柱体体内有源氡气场两种理论模型，给出了不同系数和边界条件下的数值解的形式。

Corrugated pipe ; numerical simulation ; heat transfer coefficient ; formula for heat transfer

波纹管；数值模拟；传热系数；传热准则方程

The author successfully applies the Gauss-type integral formula to the numerical solution to the constant differential equation and creates the Gauss-type implicit Runge-Kutta Method of which the accuracy of order 4 and degree 7 is already equivalent to that of the RK method with order 10 and degree 8 that is in common use.

成功地将高斯型求积公式用于常微分方程的数值解中，得到了高斯型隐式龙格库塔方法，4级7阶 GRK 法的精度已与目前较为常用的10级8阶 RK 法的精度相当。

Zhu Jialin[23]used a simple layer distribution expression based on velocity-pressure formula for the Dirichlet problem of Stokes equation with a Galerkin boundary element method and presented some numerical examples calculated by constant boundary element.

祝家麟从速度-压力公式出发，利用单层位势表示定常Stokes 方程Dirichlet 问题的解，用Galerkin 边界元法求解，并用常单元给出数值算例。

The numerical solution of Fokker-Planck equation is studied in this paper.

本论文对Fokker-Planck方程数值解作了初步的研究。

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