数值方程

The mathematical model of coal-bed methane seepage is established considering slipped effect, giving the weak form of the differential equation based on the principle of virtual displacement, hereby writing FEPG program. Using FEPG system's all the source program of the finite element which considers the mathematical model of coal-bed methane seepage of slip effect the numerical solution is sought.

建立考虑滑脱效应的煤层气渗流数学模型，给出了基于虚位移原理的微分方程的弱形式，据此编写了FEPG程序，利用FEPG系统生成了考虑滑脱效应的煤层气渗流数学模型有限元问题的全部Fortran源程序，并进行了数值求解。

The paper introduces a differential equation derived from Markov theory and probability generating function.

文章介绍用Markov理论与母函数方法建立相关微分方程，并导出近似解析解，着重对常数源在系统中的涨落作了数学描述，给出了数值例子。

Based on the model of the high-order nonlinear Schrdinger equation with quintic term, we numerically study the interaction between the femtosecond solitons in optical fiber with saturate nonlinearity.

以包含五阶非线性效应的高阶非线性薛定谔方程为模型，数值研究了饱和非线性光纤中飞秒孤子间的相互作用。

Our study shows that it is a good choice to apply generalized rational parametric curve to interpolate and fit unorganized data, because it provides higher numerical stability by appropriately adjusting the support of basis functions.

最后应用广义有理参数曲线对散乱数据进行插值拟合，它可以通过调整基函数的支撑域来优化方程的系数矩阵，因此提供了更高的数值稳定性。

First and second order linear differential equations Path integral Numerical series Functions of the real variable: sequences and series of functions, entire series, applications to Fourier series.

第一，二阶线性微分方程路径积分数值系列在实变函数：序列和职能系列，整个系列，以傅里叶级数的应用。

The generalized magnetostatic field reciprocity theorem is deduced by the language of differential forms.

应用微分几何语言导出了广义静磁场互易定理，并应用该定理推导了漏磁无损检测数值分析中的富内德和蒙积分方程和线圈电感增量公

For the simple network with several routers, we propose a discrete time feedback control system model and a set of recursive equations to describe it. The numerical examples about the bifurcation of average and instantaneous queue size along with the variety of exponential averaging weight w, RED control parameter qmax, pmax and system parameter K are shown.

对拥有多个路由器的简单网络，提出了离散时间反馈控制系统模型，推导出可以研究网络非线性本质的递归方程，针对指数平均权值w，RED控制参数qmax， pmax和系统参数K的变化，进行了平均和瞬时队列长度的分岔数值实验。

By means of a resonable and approximate treatment the dependent variables of the integral equation are reduced to depend only on the two coordinates of the wing plane.

通过合理的近似处理，使积分方程的自变量仅依赖于机翼所在平面的两个座标，这就使我们在利用有限无法进行数值解时，只需在机翼平面上划分元素，避免了在流场空间中划分元素的传统作法，从而大大降低了对计算容量的要求和计算工作量，使跨音速三维机翼的气动力计算有可能在较小的计算机(例如709机)上完成。

The boundary problem of differential equations is a problem of function regression.

求解偏微分方程边值问题的数值解是函数估计的一个方面。

And, we also introduce the regularization method, which will be used in our numerical realization.

最后我们利用有限元方法，给出了热方程正问题的数值解法。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。