查询词典 explicit differential equation

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的主控制方程找出了两套比较完整的可用的代数显式解析解。

This paper presents the explicit expression of geodesic equation on a paraboloids of revolution using differential geometry which avoids the complexity of geodesic ray tracing by numerical approach.

本文根据微分几何原理，从广义费马原理出发，得到了旋转抛物面上短程线的解析式，避免了数值方法射线寻迹的复杂性。

For the radiation transfer equation, both the spatial domain and the angular domain is discretized, and the finite volume method is used to solve the equation in an explicit way.

把一种新的三维热辐射计算方法应用到高超声速非平衡流场的数值模拟过程中：在非结构网格上对高超声速化学非平衡流场的数值模拟过程中，耦合了辐射输运方程来求解辐射热流。

Based on the relationship between the discrete-time difference equation and its observable state-space canonical form, the explicit solution to Diophantine equation in generalized predictive control is derived.

利用被控对象的离散差分方程与其状态空间能观标准型之间的关系，推导出广义预测控制中Diophantine方程的显式解，从而避免了其递推求解，使广义预测控制的应用更加方便。

And we show that random walk model converges to the stable law of Lévy-Feller advection-dispersion equation by use of a properly scaled transition to vanish-ing space and time steps,We propose an explicit finite difference approximation for Lévy-Feller advection-dispersion equation.

第三章讨论描述服从某种稳定分布反常扩散的非对称空间分数阶对流-扩散方程——Lévy-Feller对流-扩散方程，首先利用Fourier变换和Laplace变换给出方程的基本解，然后利用Grünwald-Letnikov分数阶导数移位离散算子离散方程中的Riesz-Feller分数阶导数得到离散格式，证明此格式可以解释为离散随机游走模型，并且证明了当时间和空间步长以一定的比率同时趋于0时，所提出的离散随机游走模型收敛到Lévy-Feller对流-扩散过程的稳定分布。

First, a new explicit parametric solution of the matrix equation is proposed. Second, an existing solution of this matrix equation is extended.

首先给出了该矩阵方程的一种新的显式参数通解，其次对该矩阵方程已有的一类显式参数解进行了推广。

An algorithm which can draw any complex surfaces expressed by explicit equation or parametric equation was given.

提出了显式方程和参数方程表示的曲面的一种绘制算法，该算法可以绘制任意复杂的方程曲面。

The numerical results show that our method is effective. For the noncharacteristic Cauchy problem for 2-D and 3-D heat equation, we give the explicit H\"{o}lder type stability estimates by using weighted energy method. Especially,H\"{o}lder type stability estimate for discrete solutions of the heat equation is obtained through a fully discrete method. The numerical results are presented.

对于二维和三维的热传导方程的非特征Cauchy 问题，我们利用权函数方法，给出了一个显式的H\&{o}lder 型的稳定性估计，特别的，对于二维的非特征Cauchy问题，我们利用充分离散的方法，对二维问题的离散形式同样给出了H\&{o}lder 型的稳定性估计，同时，我们也给出了数值例子来说明我们的估计。

The explicit form of this method is very similar to that of the Newmark explicit method while its numerical characteristics are exactly the same as those the constant average acceleration method.

此新发展的外显式积分法其一般式和Newmark外显式积分法非常相似，然而，它的数值特性却完全与等平均加速度积分法一样。

There are explicit and implicit schemes in FDM . explicit scheme are easy to compute and make programmes, but it has a problem of conditional stability and the exactness is not high .

有限差分方法主要有，显式格式和隐式格式(Crank-Nicolson格式)，其中显式格式虽然计算简单，便于编程，但有稳定性限制，并且精度也比较低，不便于适用。

Yet, Edith says, there was always money in the bank.

但是Edith说，她的银行户口里面总是有钱。

We have created a series of files that resolve this problem--one for each day of the 40 days of purpose.

我们制作一系列的档案去解决这问题---一个为标竿40天中的每一天。