查询词典 simultaneous differential equations

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。

The domain derivative of the Navier-Stokes equations is given in the same manner as the Stokes equatons' domain derivative by reducing to homogeneous equations and proving continuous character and existence of Frechet derivative .

同样利用对非齐次方程的齐次化、证明目标函数对区域的连续性和其导数的存在性，同时给出了定常Navier-Stokes方程的区域导数完整的理论证明。

The stability and convergence for spectral methods and spectral element methods are presented, with the aid of the knowledge of functional analysis and calculus and with the help of the theorem of Lax-Milagram, the stability and convergence for steady problems, evolution equations and Navier-Stokes Equations are analyzed in detail.

利用泛函分析和微积分的基本知识，运用Lax-Milagram定理等，从理论上比较详细地分析了谱方法和谱元方法在定常问题、非定常问题以及求解Navier-Stokes方程方面的稳定性和收敛性问题，得出了Navier-Stokes方程谱近似的稳定性条件和收敛性准则。

Methods From the fundamental equation in Laplace domain, using Multiple Reciprocity Method-Boundary Element Method, the integral equations and the boundary integral equations are derived and solved numerically.

方法由 Laplace 变换域中的基本方程出发，利用多重互换边界元方法，得到了积分方程和边界积分方程，并求得数值解。

On the basis of displacement and pressure measurement the fundamental equations of back analysis——inverse equations of FEM are given.

给出了基于位移及压力量测的反分析基本方程——有限元逆方程。

In chapter two, some fundamental equations of thermodynamic functions are obtained which become criterions of equilibrium along with the state equations.

第二章由基本定律得出了各热力学函数之间的普遍关系式，它们与物态方程相结合，成为确定物质平衡态性质的依据。

Be able to understand the fundamental principles behind the conservation equations and identify the significance of each term in the governing equations.

能了解守恒方程式背后所隐含的基本定律以及确认方程式内各项之重要性。

Connectors are lines that can be anchored to particular places, called glue points , on the graphic object.

连接符，可固定在图形对象的特定的地方的线条。

Another way of putting it, too many agents have a say in each other's work, and bureaucratic rigor mortis sets in.

另一种表达是，太多的作用物在彼此的工作里都有话语权，官僚的僵尸开始抬头。