In numerical computation by the finite element method it is also convenient to use the loading-unloading criteria and the constitutive equations formulated in strain space.
在有限元方法的数值计算中使用应变空间表述的加-卸载准则和本构方程也是很方便的。
The numerical model of the linear optical amplifier (LOA) is built based on the rate equations. The gain clamping characteristics of LOA are simulated.
基于速率方程建立了线性光放大器(loa)的数值模型，模拟了线性光放大器的增益钳制特性。
Conjugate gradient method were choosed to solve the large sparse matrix equations induced by the FEM and computer language FORTRAN was used to programme the numerical simulation system software.
选择共轭梯度法解决由有限元法形成的大型稀疏矩阵方程，应用FORTRAN语言编制了数值模拟系统软件。
The numerical simulations of the flow field around and aerospike nozzle cell were completed base on N S equations with Second order NND scheme.
从NS方程出发，采用二阶精度的NND格式对塞式喷管的流场进行了数值模拟。
These advanced scholars study transcendental mathematics, equations that seek to see through time, and numerical puzzles intended to find the answer to the question of life.
这些高级的学者研究超验的数学，试图从方程式中看到未来，从数字谜题中解答生命的意义。
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。
Both the impulse equations of structural dynamics and the solution were established, and the (numerical) stability and accuracy of the integral formulation were also discussed.
在结构动力分析中提出了建立冲量方程并求解的方法，给出了该方法的积分格式并讨论了其数值稳定性、精度等数值特性。
First, now in all common numerical methods for the satellite dynamics equations the most important problem that needs to be improved is stability problem.
首先，目前在卫星动力学中常用的所有人造卫星运动方程的数值解法有待改进的最重要的问题就是稳定性问题。
Numerical solution of these equations yields the intensity factors and the energy release rate at the crack tip.
求解这些方程组，获得了裂纹尖端的强度因子和能量释放率。
Borrowing the traditional two-speed approach originally developed in conventional attitude integration, we design one new numerical integration algorithm to solve the three kinematic equations.
借鉴成熟的姿态四元数积分的双速算法结构，设计了一个数值积分算法求解以上三个运动学方程，构建了基于对偶四元数的捷联惯性导航算法。
An effective numerical solution of renormalization group equations is introduced, and compared with the traditional solution of polynomial expansion.
介绍了重正化群方程的一种有效的数值解法，并与多项式展开的传统解法作了比较。
The theoretical investigation in ionic fluids has been done with analytical or numerical calculation of integral equations.
对于离子液体的研究理论上主要是用解析或数值计算求解积分方程组。
This kind of systems frequently arises in practical applications mainly related to solving differential equations by discrete numerical methods.
这类方程组常在主要与用离散数值方法解微分方程有关的实际应用中提出来。
By means of the numerical solution to deal with the systematical equations, the important flow laws to actual engineering are obtained.
通过数值求解分层流的数学方程，得到了对工程实际应用有重要价值的流动规律。
Spectral method is one of important numerical method for solving differential equations.
谱方法是微分方程数值求解的重要方法之一。
Numerical grids generated by solving elliptical equations are boundary-fitted.
用椭圆型方程生成的数值网格是一种贴体网格；
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。
A new asymptotic numerical method for nonlinear dynamic equations was proposed. In this method, the homotopy perturbation method was improved by using the precise integration technique.
利用精细积分技术对同伦摄动方法进行了改进，构造了一种求解非线性动力学方程的新的渐近数值方法。
A new numerical method, analytical discrete method, for solving ordinary differential equations is proposed.
提出求解常微分方程的一种新的数值方法——解析离散法。
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 flow parameters such as discharge, free surface profile and boundary pressure distribution are simulated by numerical calculating the boundary integral equations.
通过数值求解边界积分方程组，对流量、水面线和边壁压力等水力参数进行了数值模拟。
The qualitative theory of ordinary differential equations and numerical simulation method are employed to investigate the kink waves of a nonlinear quartic equation.
用微分方程定性理论结合数值模拟方法研究了一类非线性四阶波动方程的纽结波。
The numerical solution of Euler equations is provided as flow solver .
翼型的流场解由欧拉方程的数值解提供。
This graduate-level course is an advanced introduction to applications and theory of numerical methods for solution of differential equations.
这门研究生程度课程是对微分方程数值解法的应用和理论的高级导论。
The paper gives the numerical solution of the linearized equations of the system.
本文给出了线性化的系统动力学方程的数值解法及算例。
The paper gives the numerical solution of the linearized equations of the system.
本文给出了线性化的系统动力学方程的数值解法及算例。
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