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。
The adaptive finite element methods are very effective for solving partial differential equations in scientific researches and engineering designs.
自适应有限元方法是科学研究和工程设计领域中非常有效的一种求解偏微分方程的数值计算方法。
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。
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。
The underlying method is based on the simple wave solutions of a system of hyperbolic partial differential equations.
基本的方法是以双曲型偏微分方程组的简单波解为根据的。
The domain decomposition is a numerically approximating solution to partial differential equations on parallel computers.
区域分解算法是在并行机上求解偏微分方程数值解的一种方法。
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。
This model consists the hyperbolic partial differential equations, boundary conditions and cyclical conditions of the system.
该模型由描述系统振动的双曲型偏微分方程组及相应的边界条件和周期性条件组成。
In this paper we prepare to consider several problems of the partial differential equations by the methods of harmonic analysis.
本文主要是要利用调和分析的方法讨论偏微分方程中的若干问题。
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。
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。
After partial differential equations was changed into cubic algebraic equation, accurate solution of the structure was able to be obtained.
将偏微分控制方程化为三次代数方程，获得结构内力的精确解。
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。
Sufficient conditions are established for the oscillation of systems of second order partial differential equations with functional arguments.
建立了具泛函变元的拟线性偏微分系统解振动的充分条件。
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 study the forced oscillations of boundary value problems of a class of higher order functional partial differential equations.
本文研究一类高阶泛函偏微分方程边值问题的强迫振动性。
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 research on the existence and uniqueness of solutions of nonlinear partial differential equations is one of main branches of nonlinear dynamics.
非线性方程解的存在性和唯一性问题的研究是非线性动力学的主要研究内容之一。
With the ordinary theory of Heat Exchange in physics this essay visualizes the essence of second-order homogenous linear partial differential equations.
本文利用物理学中常见的热传导理论，形象地阐释了二阶齐次线性偏微分方程的本质。
The method of weighted residuals is a mathematic procedure with which approximate solutions can be obtained directly from partial differential equations.
加权残值法是一种可以直接从偏微分方程中求得近似解的数学方法。
It is well-known that fractional integral operator is one of the important operators in harmonic analysis with background of partial differential equations.
众所周知，分数次积分算子是调和分析中以偏微分方程为背景的一种重要算子。
The unsteady partial differential equations for expectation and correlation distributions of the stochastic temperature distribution in a solid are obtained.
给出了在固体中随机温度分布的期望和相关性的一个不稳定的偏微分方程模型。
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。
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。
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