An approximate analytical solution with comparative accuracy is helpful in investigating nonlinear rolling of ships and its stability.
具有一定精度的近似解析解有助于方便分析船舶非线性横摇运动及其稳定性。
The analytical solution is derived for strong shock.
对强激波给出了分析解。
The simulation result and analytical solution are basically identical.
模拟结果与解析结果相比，基本一致。
The approximate analytical solution is got by using perturbation method.
通过扰动方法求得问题的近似解析解。
Firstly, the approximate analytical solution of a local domain is derived.
首先求出了局部区域的近似解析解。
Sets of hyperelastic analytical solution are presented with triangular function.
用三角级数的形式给出了一组相应的超弹性解析解答。
Such a method is of the properties of both analytical solution and numerical solution methods.
该方法既具有解析解法的特点，又具有数值解法的特点。
This article brings forward an approximate analytical solution to Reynolds equation for finite journal bearings.
本文给出有限长径向轴承雷诺方程的一种近似解。
Thus calculated results are in good coincidence with analytical solution for circle disk and ring in compression.
从对径受压圆盘和圆环的计算表明，其结果能较好地符合解析解。
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。
But for the general optimal control for nonlinear systems with time-delay, the analytical solution does not exist.
非线性时滞系统的最优控制问题是非常难解决的研究课题。
A new semi-analytical solution for the analysis of vibration characteristics of smart plate structures is proposed.
为智能板结构振动特性的分析提出了一种半解析法。
The planar diode is calculated by means of MCM and compared with the analytical solution. The relative error is 0.8%.
用蒙特卡洛法计算了平面二极管并与解析解进行比较，相对误差为0.8％；
A general analytical solution is used to solve vibration problems of rectangular plates with intermediate support, here.
应用一般解析解来求解具有中间支承矩形板的自由振动问题。
The semi-analytical solution for evaluating ESR from spectral density function of wide-band random loading is presented.
提出了依据宽带随机谱功率密度函数求解等效应力幅的半解析公式。
This paper studied a four-layer Kerr-type nonlinear slab-guided optical mode(TE mode) and obtained the analytical solution.
本文讨论了四层克尔型非线性介质平板结构中两种形式的光波导模问题（TE波），并求得解析解。
Then with the upper-bound theorem and the surface integral an analytical solution of the drawing stress was first obtained.
入口截面不消耗剪切功率，然后用上界定理与曲面积分方法首次得到了用余弦模拉拔方棒时变形力的解析解。
Then with the use of the substitution of variables. the approximately analytical solution in physical plane can be obtained.
然后采用变量替换，可获得物理平面上的近似解析解。
This paper gives a new analytical solution of the free vibration of an arbitrary-shaped plate with complex boundary conditions.
本文给出了复杂边界条件下任意形状板的自由振动分析的一个新的解析解法。
An analytical solution is obtained for the diffraction of strong detonation waves by a stationary two-dimensional thin airfoil.
本文研究平面强爆震波对静止的零攻角二维对称薄翼的绕射问题，并求得解析解。
The comparison between analytical solution and uncorrected solution shows that uncorrected truncation errors can not be ignored.
通过解析解与没有修正的差分解进行对比，结果表明，没有修正的截断误差是不能忽略的。
An exact analytical solution was obtained in a typical dissipation system which can be used to generate squeezed state of light.
对于一个用于产生压缩态的典型的耗散系统，我们利用非主方程方法，得到其严格的解析解。
The approximate analytical solution on the burning rate of droplet mass is also found on the basis of some simplified hyPotheses.
在一些简化假设的基础上，找到了液滴质量燃速的近似解析解。
The numerical solution and the analytical solution were compared, absolute errors as well as reasons of the errors were analyzed.
把数值解与解析解进行比较，分析了误差及其产生的原因。
Numerical result of thermal deformation of the solar array on the Hubble Space Telescope agrees well with the analytical solution.
对哈勃太空望远镜太阳能帆板热变形的实例计算表明，数值解与理论解符合较好。
By a comparison of the result with that of the analytical solution, the computational error of the numerical solution is discussed.
进行数值求解，通过数值解与精确解的比较，对计算误差的变化规律进行了分析研究。
The solution with this scheme for the tide in a uniform rectangular gulf is obtained and is consistent with the analytical solution.
将此格式运用于求解矩形等深海湾的潮波，得到与解析解一致的结果；
By using the Laplace transform technique, the one-dimensional analytical solution of dynamic response for biphasic saturated porous media.
并利用拉普拉斯变换技术，得到了液饱和两相多孔介质一维问题的动力响应解析解。
An analytical solution is obtained for soliton pulse propagation in nonlinear media with gain saturation and gain dispersion in this paper.
本文获得了增益色散和增益饱和非线性介质中的光孤子脉冲的解析解。
An analytical solution is obtained for soliton pulse propagation in nonlinear media with gain saturation and gain dispersion in this paper.
本文获得了增益色散和增益饱和非线性介质中的光孤子脉冲的解析解。
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