查询词典 simultaneous equations

Exterior problem ; boundary integral equations; equivalent boundary integral equations

外边值问题；边界积分方程；等价边界积分方程

A new scheme for approximating the solution of 2D Maxwell's equations-the high order symplectic scheme is proposed to overcome the shortcoming of the conventional finite difference time domain. The scheme is obtained by discretizing the Maxwell's equations in time domain based on symplectic scheme with high order, and then evaluating the equation in spatial domain with second or fourth order finite difference approximation.

为克服标准时域有限差分方法的缺陷，引入一种新的数值计算方法－高阶辛算法求解Maxwell方程，即在时间上用高阶辛差分格式离散，空间分别采用二阶及四阶精度的差分格式离散。

It contains boththe finite element equations and finite difference equations in one equation.

拟协调元法是广义协调方程的解，自然满足平衡对弱连续条件的要求。

As we know, the resulting algebraic equations are large systems of non-linear equations with the expanded mixed finite element method for the equation.

用扩张混合有限元方法对其进行离散是常用的方法，其离散化所获得的代数方程组是一很大的非线性方程组。

The transient air gap magnetic fields under different conditions are also calculated and analyzed. The novel finite element method directly using magnetic induction as unknown variable has many advantage. It is analyzed theoretically in detail. Nonlinear eddy current field equations and finite element equations using magnetic induction as unknown variable are developed.

直线电机的磁场是一非均匀、非线性的涡流场，文中对非均匀磁场及材料的非线性进行了分析，提出了相应的解决办法，采用以向量磁位为求解量的传统有限元法，对不同合闸角下筒式复合次级圆筒型直线感应电机的瞬态特性进行了计算与试验分析，对不同条件下瞬态气隙磁场进行了研究。

When the mathematical model is established, the correct connection of two kinds of equations becomes a sticking point for the finite element equations and the analytical expressions to be integrated as a whole equation.

数学模型建立以后，两类方程的正确连接是把有限元方程和解析表达式整合为整体方程的关键。

Second order incident boundary condition on fixed incident boundary is derived for numerical simulations, based on the cnoidal or sinusoidal motions of wave maker paddle, which shows that the prediction with second order incident boundary condition is more accurate than the prediction with first order incident boundary condition. 2 The analytical solution for higher-order Boussinesq equations is derived and its applicable range is discussed. 3 A 2-D fully non-linear numerical model using boundary element method is developed to obtain wave forces acting on rectangular obstacle. 4 The three-dimensional fully non-linear waves are studied in a numerical wave tank using finite element method.The studies on the coupled numerical model combined Boussinesq equations with Laplace equation are following.

非耦合非线性波浪计算模型：1 根据造波板做椭圆余弦运动或正弦运动速度，推导出数值模拟波浪水槽时固定入射边界上的二阶波浪入射边界条件，数值计算结果和实验结果的对比表明采用二阶入射边界条件对波面升高的预报比采用一阶入射边界条件对波面升高的预报更为精确；2 推导了波浪水槽造波板做正弦运动所产生波浪的高阶Boussinesq方程摄动展开解析解，讨论了该解析解的适用范围；3 对整个波浪水槽应用边界元方法数值模拟了波浪对物体的非线性作用；4 用有限元法求解三维Laplace方程模拟了三维完全非线性波浪水槽。

These equations have since become known as the FitzHugh-Nagumo equations, though they were originally called "Bonhoeffer-van der Pol model" by FitzHugh.

这些方程因为众所周知的菲茨休- Nagumo方程组，但他们最初被称为"潘霍华，范德尔极化模式"的菲茨休。

Firstly, dynamic equations?mathematics modal of a fighter and a bomber has been built and some solutions of the dynamic equations have been acquired in the paper. Secondly, a flight simulation vision system has been set up which can display flight status and flight parameters of the simulated airplane.

首先，本文建立某歼击机及某轰炸机的六自由度运动方程的数学模型，并做了一些求解运动方程方法的探讨，在完成运动方程求解的基础上创建模拟视景系统，用于显示飞机的即时位置及飞行姿态和各种飞行参数。

To solve a flow problem, you have to solve all five equations simultaneously; that is why we call this a coupled system of equations.

为了解决流动问题，你必须解决所有五个方程，同时，这就是为什么我们呼吁这是一个耦合系统的方程。

Don't listen to their haver, nothing of that sort.

别听他们胡说八道，根本就没那回事。

But bank's shares trade below their book value, suggesting that investors are skeptical.

但是，银行股票以低于账面价值的价格交易，这一点反应了投资者的怀疑。