查询词典 method of approximation

General method, including steepest descent method, conjugate gradient method and Dynamic Programming, is to search piecewise functions as the approximation with numerical methods on the base of Bellman\'s principle of optimality or the Hamiltonian function.

动态规划与智能仿生算法尤其适用于梯度信息不可得的情况。单一的优化方法用于不同情况下的化工动态优化问题未必可行有效，为此本文针对具体情况，提出了多种解法的集成策略。

The continued fraction approximation is developed in reliability analysis for slope stability, the features of this method are rapid speed of calculation, simple and direct, high precision and effectively combin ing method of fixed value with probabilistic method on stability analysis for slope.

在斜坡的可靠性分析中，引入了函数连分式渐近法，其特点是计算速度快、简捷、精度高，有效地将斜坡稳定性评价的定值方法和概率方法有机地相结合。

The result verifies that the discrete model with power series direct discretization method requires 100 memory length to obtain the better approximation, while one with continued fraction direct discretization method requires only 10 order. Thus the continued fraction direct discretization method is preferable to digital realization of fractional order control algorithms in engineering applications.

研究结果表明，幂级数直接离散法得到近似离散模型需要记忆长度为100方可获得较好的近似，而连分式直接离散法近似离散模型为10阶时就可以获得较好的近似，因此连分式直接离散法比较适合于分数阶控制算法的实际工程应用。

Meshless method is a new numerical method on problem for determining solution of differential equation. It is an approximation method based on nodes, and doesn't need a mesh entirely or partly. Then the discontinuous problems and the extremely large deformations problems can be solved without the re-meshing techniques.

无网格方法是求解微分方程定解问题的一种新数值方法，它采用基于点的近似，可以彻底或部分地消除网格，因此在处理不连续和大变形问题时可以完全抛开网格重构。

Meshless method is a new numerical method on problem for determining solution of partial differential equation. It is an approximation method based on nodes, and doesn't need a mesh entirely or partly. Then the discontinuous problems, the extremely large deformations problems, and movable boundary problems, etc, can be solved by use to meshless without the re-meshing techniques. And not only the calculated precision can be guaranteed, but also the calculated difficulty can be decreased.

无网格方法是求解微分方程定解问题的一种新的数值方法，它采用基于点的近似，可以彻底或部分地消除网格，因此在处理不连续、大变形、移动边界等问题时可以完全抛开网格重构，不仅可以保证计算的精度，而且可以减少计算难度。

Element-free Galerkin Method is a effective method for solving partial differential equations with the help of shape functions coming from moving least squares approximation. It is well-suited to problems involving large deformation and crack propagation etc on which Finite Element Method can not be used easily. But EFGM is computationally expensive and it is hard to impose the essential boundary condition. Coupling the EFGM and FEM can fetch up the defect of EFGM and improve the efficiency highly.

无网格伽辽金法是基于移动最小二乘法的一种用来求解偏微分方程非常有效的方法，在处理诸如高度大变形、裂纹动态扩展等有限元法较难解决的问题时有其独特的优势，但是存在处理边界条件复杂，计算量大的不足，将无网格法同有限元耦合可以解决这些缺点，极大的提高计算效率。

To evaluate the precision of solutions obtained by modal series method, normal form method and linear modal method, an error index describing the approximation to the nonlinear simulation is defined and then applied to the same system.

为比较模态级数法、正规形法和线性模式分析法所得解对时域仿真解的逼近程度，定义一误差指标，并在4机2区系统中做相关分析。

After probable damage location through MSECR, the method based on the sensitivity of orthogonality conditions gives good predictions of damage. This method overcomes the natural defect of the concept first order approximation of the ordinary sensitivity analysis method.

为克服灵敏度分析法一阶近似的本质缺陷，基于正交条件灵敏度分析法，利用MSECR对结构的损伤进行粗略定位后，给出了准确的识别结果，但这种方法的缺点是需要完备的实测振型。

There are two kinds of method in common use. One is numerical method, and the another one is analytic approximation which is represented by perturbation method.

常见的方法有两种：一种是数值方法，二是以摄动法为代表的解析近似法。

A simple radiation model was used to calculate daily changes of the aerosol radiative heating rates and cooling rates in different months. Two-stream approximation, hemispheric constant method, adding method and doubling method were applied in the computation.

摘 要：采用两流近似辐射模式，应用半球常数法近似，采用累加法和倍加法，计算了不同月份大气气溶胶的辐射加热率和减温率的日变化。

Pachomius manual labour was organized as an essential part of the monastic life; and since it is a principle of the monks as distinguished from the mendicants, that the body shall be self-supporting, external work of one sort or another has been an inevitable part of the life ever since.

根据圣pachomius体力劳动组织作为一个重要组成部分寺院生活；以来，这是一个原则的和尚，作为有别于乞丐，该机构应自支撑，对外工作的这种或那种已一个必然的一部分，生活至今。

In order to study the effects of parametrical rolling on the ship movement and tilts, in allusion to ship's navigating in regular following waves, the equation of ship rolling motion is transformed into normal Mathieu equation by proper variable replacement when strong parametrical excitation in restoring moment varied according to sine or cosine wave.

为研究参数横摇对船舶运动和倾覆的影响，通过对船在规则波上随浪航行时，恢复力矩中出现的1个以正余弦规律变化的强参数激励项进行适当的变量置换，将船舶的横摇运动方程转换成标准形式的Mathieu方程。