1、

Subsequently the free surface is divided by FEM ( Finite Element Method) and a linear set of equations is developed based on Bernoulli equation.

并采用有限元剖分自由表面动边界,应用伽僚金加权余量法,建立自由表面Bernoulli方程的有限元线性方程组。

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2、

Using separation theorem of convex set and the time terminal value function equation, we obtain the determining method of optimal terminal time as well as the Maximum principle.

由凸集分离定理及终端时间阈值函数方程,我们获得了最大值原理及最优控制时间的确定方法。

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3、

Structure thermal capacity's influence of the transitional thermal load was analyzed, and boundary equation was set up and solved by finite difference method.

分析结构热容量对瞬态热载荷的影响,建立与之相应的边值问题方程,并采用有限差分法求解;

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4、

A physical model describing the heat and mass transfer processes of the evaporating thin film is set up and an evolution equation which shows the development regularity of dimensionless film thickness with time is obtained from the liquid vapor interfacial conditions.

论文对平面蒸发薄液膜的传热传质过程建立了物理模型,从汽液界面上的边界条件得到无量纲液膜厚度随时间变化的发展方程。

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5、

An empirical equation for hydraulic resistance was obtained after the effects of pitch number of throttles, throat diameter, temperature, pressure, flow rate and outside heat source on the hydraulic resistance of throttle set were examined.

通过研究节数、喉部直径以及温度、压力、流量和外部热源等参数对节流件阻力特性的影响,获得了计算节流件阻力的经验关系式。

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6、

The set of ordinary differential equations is integrated with the Runge Kutta Gill method according to the required time accuracy. The same spatial discretion is adopted for the Poisson equation. The successive over relaxation method is used.

随时间变化的发展方程采用Runge Kutta Gill法求数值解,在空间上离散的Poisson差分方程采用超松弛迭代法求解。

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7、

The mathematical equation of spatial evolution and time advance, the immersed boundary method that are used to calculate the force between the fluid and the roughness element, and the set of entrance and exit boundary conditions are briefly introduced.

对于空间演化和时间推进的数学方程,计算流体与粗糙元之间作用采用的内嵌边界方法的原理和使用,入口和出口边界条件的设置等进行了简要的介绍说明。

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8、

In light of introduction of the method to set up mathematical modeling, the article takes up analysis on circuit using time domain differential equation method and frequency domain Laplace transform method ( LTM).

通过介绍建立数学模型的方法,对利用时域中传统的微分方程法和频域中经典的拉普拉斯变换法对电路进行了分析。

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9、

A set of one-dimensional regular integral equations is derived for calculating the dynamic response of elastic layer on stiff foundation under time harmonic surface vertical concentrated load. And the numerical solution of the integral equation is obtained.

导出了刚性基础上的弹性层在表面垂直集中简谐载荷作用下动力响应问题的一维非奇异积分方程组,并求得了数值解。

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10、

Based on the isotropic constitutive equation of thermoviscoelastic materials a mathematical model for thermal vibration of thin viscoelastic plates is set up by use of the "structural function" and the "thermal function" of the plate introduced by the Laplace transformation method.

首先从热粘弹性材料的各向同性本构方程出发,利用Laplace变换方法,引入薄板的结构函数与热函数,建立了薄板热振动的数学模型。

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11、

In the Attribute Petri Net, the start rule of transition and calculation of place marking are different from traditional Petri Nets. Therefore, we redefined APN transition fired condition, reachability marking set, the incidence matrix and status equation.

在属性Petri网中,变迁的启动规则以及库所标识的计算都有别于传统的Petri网,因此,本文重新定义了APN的变迁点火条件、可达标识集、关联矩阵和状态方程。

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12、

Deviation equation of magnetic compass based on a set of trigonometric function

基于三角函数系的磁罗经自差校正方程

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14、

the vorticity equation and adiabatic equation are converted into a set of nonlinear ordinary differential equations which have been integrated on the electronic computer by using the runge-kutta method.

将涡度方程及绝热方程分离变量,化成非线性常微分方程组,以Runge-Kutta法在电子计算机上进行数值积分。

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15、

Considered terrain condition, a mathematical model of droplet random splash was proposed, and the corresponding differential equation was set up and worked out by Runge-Kutta and Monte-Carlo method.

在考虑地形的条件下,研究了挑流水舌撞击尾水时水滴随机喷溅特性,建立了水滴随机碰溅的数学模型,提出了地面降雨强度的求解方法。

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16、

linear consociation equation set model of forest ecological benefits

森林生态效益的线性联立方程组模型的研究

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17、

For the 2+ 1 dimensional integrable KZ equation'a set of infinitely many trun-cted symmetries with infinitely many arbitrary functions of time are obtained by using formal series symmetry method.

对于2+1维的可积的Khokhlov-Zabolotskaya方程,利用形式级数对称的方法,得到了一包含无穷多任意时间函数的无穷多截断对称。

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18、

Unordered Solution of Set Equation on a Finite Set

有限集合上的集合方程的无序解

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19、

A structure to the solution set of a nonlinear equation on Banach manifolds

Banach流形上一类非线性方程的解集的结构

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20、

In the research of feature modeling incorporating constraint process, automatic feature identification of composite surface and complex surface and static solution of large scale non-linear equation set are still research hot topic.

但在具体研究过程中,集成约束的逆向工程CAD特征建模中复合曲面和复杂曲面特征的自动识别及大型非线性方程组的稳定求解问题仍然是研究的热点。

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