And just to tell you again that is a strange partial differential equation relating these two vector fields.
再说明一下，这是关于这两个向量场，多少有点奇怪的偏微分方程。
For example, the temperature of a metal plate can be expressed as a partial differential equation if the temperature on the boundaries is known. This is called a boundary value problem.
比方说，如果已知一块金属板边界上的温度，那么整块金属板的温度就可由一个偏微分方程表示，这称为边值问题。
It is a new method to generate surfaces with partial differential equation (PDE).
用偏微分方程(PDE)构造曲面是一种新兴的曲面造型方法。
The partial differential equation is solved by Alternating Direction Implicit algorithm.
采用交替方向隐式算法求解偏微分方程。
Impulse hyperbolic partial differential equation oscillation higher order Laplace operator.
脉冲双曲型偏微分方程振动性高阶Laplace算子。
Its convergence is proved and its united formula for solving partial differential equation is given.
文中给出它的收敛性证明和计算偏微分方程的一般格式。
We present a homomorphic partial differential equation filtering method for interferometry fringe patterns.
本文提出了电子散斑干涉条纹图的同态偏微分方程滤波方法。
An effective method for solving a partial differential equation of secondary hydrocarbon migration is put forward.
本文给出了一种高效率求解油气二次运移偏微分方程的方法。
The partial differential equation of flow in porous medium has been studied with variational finite element method.
用变分有限元方法对描述地下流体渗流的偏微分方程进行了分析。
This paper proposes a new method of solving the high order linear partial differential equation by means of Walsh Series.
本文提出了用沃尔什级数求解高阶线性偏微分方程的一种新方法。
The theory of inverse problems of a partial differential equation is used for the structure fault diagnosis in this paper.
本文将微分方程反问题理论应用于结构故障诊断。
A nonlinear partial differential equation model based on nonlocal information was proposed to remove noise and preserve the edges.
针对传统扩散模型中的边界模糊问题，提出一种基于非局部信息的非线性偏微分方程去噪模型。
Optimal control problem is considered as soon as we can solve a partial differential equation to simulate certain practical problem.
最优控制问题是在能够求解偏微分方程进行模拟以后必然要考虑的问题。
In physics, the physical parameter evolution along with the time is often controlled by the non-linear partial differential equation.
在物理学中，物理参量随时间的演化往往是由非线性的偏微分方程支配的。
A condition of a one-order quasilinear partial differential equation of a traffic model forming unique shock wave is given end proved.
本文讨论了一交通模型的一阶拟线性偏微分方程激波产生唯一性的条件并给了严格的证明。
It is very difficult to get analytic solution except some very specific cases for the model owing to nonlinear partial differential equation.
由于非饱和流动的数学模型归结为非线性的偏微分方程，除了一些很特殊的情况外，很难得到解析解。
In solving partial differential equation (i. e. pricing model), the author adopted the finite difference method to get its numerical solution.
本文采用有限差分法求解偏微分方程(即定价模型)的数值解。
In this paper, we study the pricing problem of the perpetual Bermudan option with jump-diffusion by PDE (partial differential equation) method.
采用偏微分方程方法讨论了带跳扩散项的永久百慕大期权定价问题。
In this paper, we get a method to solve a non-linear RH problem by the Cauchy-Riemann conditions and the theories of partial differential equation.
利用柯西黎曼条件和偏微分方程理论，得到了一类非线性RH问题的求解方法，并通过实例表明该方法是可行的。
The algorithm for a class of optimal control problem where the state variables are the weak solution of an elliptic partial differential equation is studied.
研究一类最优控制问题的求解方法，其状态变量是某一种椭圆型偏微分方程的弱解。
In this paper we constructed an exponentially fitted difference scheme for singular perturbation problem of hyperbolic-parabolic partial differential equation.
本文对双曲-抛物偏微分方程奇异摄动问题构造了一个指数型拟合差分格式。
According to the diffusibility of the photons transmission, numerical solution of photon transmission partial differential equation was deduced with finite element.
依据光子传输的扩散性，用有限元法导出光子传输扩散偏微分方程的数值解。
But this partial differential equation can not be directly integral, so usually use Navier method, Rayleigh Ritz method and finite difference method and other methods.
但这一偏微分方程不能直接积分，所以通常用纳维法、瑞利-里兹法、有限差分方法等方法求解。
One of the field variables is considered as a function of other variables and time, and the fundamental partial differential equation for the function is established.
将一个场变量取作为其余场变量和时间的函数并对这个函数建立基本偏微方程。
Axisymmetric elasticity problem of cubic quasicrystal is reduced to a solution of a partial differential equation with higher-order by introducing displacement function.
本文通过引入位移函数使得立方准晶的轴对称弹性问题化为求解一高阶偏微分方程。
The partial differential equation (PDE) for heat conduction was solved with the finite element method and the PDE toolbox was adopted to obtain the numerical simulation.
采用有限元法求解梁截面导热偏微分方程，应用pde工具箱得到数值解。
It can be applied to solve nonpositive definite or positive definite partial differential equation with arbitrary variable coefficient under arbitrary boundary condition.
它可以求解在任意边界条件下任意变系数正定或非正定偏微分方程。
In this paper, multi-layer feedforward neural networks are used to solve the nonlinear partial differential equation, and approach the centre manifold of the nonlinear system.
本文用多层前向神经网络求解该非线性偏微分方程，从而逼近非线性系统的中心流形。
In this paper, we present a circuit simulation algorithm based on the partial differential equation (PDE) model of MOSFETs, together with a fast algorithm for solving the PDE.
研究了基于MOSFET偏微分方程(PDE)模型的电路仿真算法，并提出一种求解pde的快速算法。
Two sets of algebraically explicit analytical solution are derived for the partial differential equation set describing the one dimensional unsteady gas-liquid two phase flow.
对气液两相非定常一元流动方程组导出了两套代数显式解析解。
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