It is of practical interest to give an efficient numerical method for solving the equations.
对这类方程给出一种有效的数值求解方法具有一定的实际意义。
Standard numerical methods solving these equations often produce nonphysical oscillations, and upwind methods usually cause excessive numerical diffusion which smear the sharp fronts.
求解一般抛物方程所采用的标准有限元或有限差分法会产生难以接受的数值震荡和数值弥散；
When solving different ordinary differential equations, we may take the analytical solution or numerical solution.
不同类型的常微方程可以采用解析解法或者数值解法。
Boundary Element method is a numerical method for solving the mathematic and physics equations.
边界单元法是求解数学物理方程的一种数值计算方法。
The set of RMHD equations is solved with use of split tricks to avoid possible numerical instabilities due to much coupling in solving the set of highly nonlinear equations.
动量方程、三温方程组采用分裂法求解，以克服强耦合非线性可能引起的数值不稳定性。
Solving integral equations of supercavitating flow based on the finite difference time discretization method, some numerical results are obtained.
采用时间有限差分离散化方法求解超空泡流积分方程，得到了问题的数值解。
Based on gear method, this paper presents the numerical calculation method for solving dynamics differential equations of gear systems.
本文基于Gear方法对齿轮系统非线性动力学微分方程进行了数值计算分析。
Besides, a new numerical method is presented for solving the basic equations, so that it has better convergence and the demand on initial data decreases.
在基本方程的求解中，提出了新的计算方法，使得求解时对初始点的要求大为降低，且收敛性较好。
So far, the numerical techniques solving the hyper-singular integral equations are established, and these are called finite-part integral-boundary element method.
从而完成了超奇异积分方程组数值法的建立，这一方法现称之为有限部积分——边界元法。
And a numerical method with high resolution TVD schemes for solving the governing equations of real gas flows is developed.
以此为基础，构造了求解真实气体流动控制方程的高分辨率TVD数值格式。
Transient stability analysis based on numerical integration method is applied by solving the dynamic equations, so models of power system are required.
数值积分法通过求解电力系统的动态方程组分析暂态稳定性，因此需要建立电力系统的动态数学模型。
Numerical methods available in MATLAB for solving the ordinary differential equations are employed for the dynamic analysis.
适用于MATLAB的数值方法用来解动力分析采用的差分方程。
This paper presents the numerical method for solving the rate equations of electron's average occupation probabilities by using multiple-time-scale perturbation theory.
本文利用多时标微扰论，对束缚电子占据概率方程组提出一种数值解法。
As the same as finite element method, the finite volume method is also a numerical method for solving partial differential equations.
有限体积法现在已经成为和有限元方法并驾齐驱的一种求解偏微分方程的数值方法。
FVM can be extended to more general areas, which is a widely suitable numerical method for solving the variational integral equations.
FVM可以被推广到更广泛的领域，是一个求解变分型积分方程问题的普遍适用的新型数值方法。
FVM can be extended to more general areas, which is a widely suitable numerical method for solving the variational integral equations.
FVM可以被推广到更广泛的领域，是一个求解变分型积分方程问题的普遍适用的新型数值方法。
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