For interaction problems between pile and infinite soil medium, a semi-analytical numerical solution is presented in this paper.
本文对于桩基与无限土体介质的相互作用问题讨论一种半解析数值解法。
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。
Seven numerical methods had been tested recently by comparing the numerical results with the analytical solution of this paper to observe the features or weakness of some methods.
用文中解析解的数值结果和七种数值计算方法的结果进行了比较，以考验这些方法的特点和缺陷。
The fine scales solution in the variational multiscale finite element method, which can be acquired by analytical or numerical technique, has an important impact on the final numerical solution.
变分多尺度有限元方法中的细尺度解对数值解有着重要的影响，其可通过分析方法或数值方法求得。
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。
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。
In this paper, the methods such as analytical exact solution, numerical diagonal method are applied to study the related problems.
论文中应用了解析严格求解和数值对角化等方法对相关问题进行了研究和讨论。
The results show that the analytical solution and test results do not agree well, but can be used to judge validity of numerical simulation results by qualitative.
结果表明钢直管模型的解析解与试验实测值存在一定差别，但可以用来定性的判断数值模拟结果的有效性。
The numerical result shows reasonably match with analytical solution.
对计算结果和解析方法获得的解进行了比较。
Some research papers have been published. However, most of these papers used relatively simple bridge models and adopted analytical solution or inefficient numerical method to get stochastic response.
目前对此虽然已经有较多研究成果发表，但多数以简支桥梁为研究对象，采用效率不高的数值方法或者解析方法求解随机响应，分析过程中普遍采用模态叠加法。
In the mobile boundary point by solving the analytical solution and numerical solution contrastive method, reduce the computational difficulty.
在机动边界点的求解上采用解析解和数值解对比的方法，降低了计算难度。
The analytical results are compared with those obtained from the numerical simulation, indicating that the analytical solution is reasonable.
通过与成熟的有限元数值模拟软件计算结果的比较与分析，证明该解析解稳定可靠。
On the other hand, in order to demonstrate the convergence of the numerical solution to the analytical solution of the problem, an example is given.
还用一个例子证明：问题的数值解可以收敛到其解析解。
A numerical method based on the local linear analytical solution is given for the nonlinear advection diffusion equations.
本文提出了数值求解对流扩散方程的局部解析算法。
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。
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。
The solution of a boundary value of static fields can be divided into two kinds which is analytical and numerical.
静态场边值问题的解法可以分为解析法和数值法两大类。
Meanwhile, the analytical solution of FADE only can be obtained under specific conditions, i. e. steady state flow with step input. Using the numerical methods to solve FADE is the best choice.
同时由于只有在特定的求解条件下，才能获得FADE的解析解，因此利用数值方法来求解FADE是一个重要的研究方向。
A boundary fitted coordinate Finite Analytical Method (FAM) is described for the numerical solution of steady and unsteady seepage flow with pressure in foundation of sluice and DAMS.
本文给出了一种求解闸坝地基恒定与非恒定有压渗流的边界拟合坐标有限分析方法。
According to comparison, the analytical solution matches the numerical solution well. It is a simple, convenient and practical calculation method.
结果表明，该解析解具有较好的精度，是简便、实用的计算方法。
According to comparison, the analytical solution matches the numerical solution well. It is a simple, convenient and practical calculation method.
结果表明，该解析解具有较好的精度，是简便、实用的计算方法。
应用推荐