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high order equation
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  高阶方程
     A TYPE OF THE DUFF DIFFERENCE SCHEME FOR HIGH ORDER EQUATION (~nu/t~n)=(-1)~(n+1)sum from i'j=1 to H a_(ij)(~(2n)u/x_i~nx_j~n)
     关于高阶方程(~nu/t~n)=(-1)~(n+1)sum from i'j=1 to M a_(ij)(~(2n)u/x_i~nx_j~n)的一个DUFF型差分格式
短句来源
     Characteristic Mixed Finite Element Methods for High Order Equation
     高阶方程的特征线混合有限元方法
短句来源
  “high order equation”译为未确定词的双语例句
     High Order Equation Public-Key Cryptosystem
     高次方程公开密钥体制
短句来源
     Calculating water flow constract deepage with high order equation iteration method
     用高次方程的迭代法计算水流收缩水深
短句来源
     In order to compare conveniently, dynamical models of traditional vehicle,common axle and non-common axle vehicle are established ,dynamical differential equations are attained by a kind of faster method ; To solve the vehicle system equation of motion for nonlinear ,this thesis use Newmsrk's explicit method as a numerical integration method to simplify the integration process, when adopting this algorithm, the solution of high order equation is no longer necessary and the computational time will be greatly reduced;
     为了便于比较,建立了传统车辆、有公用轴独立旋车轮转向架车辆、无公用轴独立旋车轮转向架车辆的横向动力学模型,利用一种快速的方法推导了其运动微分方程,利用Newmark显式积分法求解系统非线性微分方程,该积分法具有过程简捷,且使用时无需求解高阶微分方程组,显著地提高了计算速度。
短句来源
     The direct solution formula for the curve length of a theoretical control point on the transition curve is proposed,with the solution of high order equation being avoided.
     导出了隧道控制测量中缓和曲线理论投点曲线长的直接求解公式。
短句来源
     By means of the measuring the natural frequencies of a beam on a elastic foundation together with the transfer matrix method and the computer algebraic language,the paper deduces the high order equation,which contains unknown quantity of the stiffiness of supports. This method,the validity of which has feen verified by experiments,can be applied to identifying the foundation coefficient.
     本文通过实测弹性地基梁的固有频率 ,以传递矩阵法为基础 ,利用计算机代数语言 ,导出以支承刚度为未知数的高次方程 ,从而识别出地基系数 ,并通过实验验证该方法的正确性。
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  相似匹配句对
     THEORY OF HIGH ORDER ABERRATIONS
     高级象差理论
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     Order
     订单
短句来源
     Simplification of High-Order Systems
     高阶系统的简化问题
短句来源
     On Order
     秩序微言
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     2) High-order virial equation.
     2)高次维里方程。
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In the finite element method for elastic problems, when any two constant-strain elements are geometrically similar in the plane or space coordinates, their coefficients of stiffness are equal or proportional. With this nature, we can discretize a structure into several main elements, each of which is then subdivided by the computer into several sub-elements geometrically simitar to one another. Because of the similarity of these sub-elements, the coefficients of stiffness for the nodes of the same zone ( material...

In the finite element method for elastic problems, when any two constant-strain elements are geometrically similar in the plane or space coordinates, their coefficients of stiffness are equal or proportional. With this nature, we can discretize a structure into several main elements, each of which is then subdivided by the computer into several sub-elements geometrically simitar to one another. Because of the similarity of these sub-elements, the coefficients of stiffness for the nodes of the same zone ( material ) are equal in the whole stiffness field of the structure. In using the iterative method, both the computation and the computer storge can be greatly reduced in amount.Consequently,this approach enables a common computer to handle several thousand nodes and very high order equations. For this, a combined method of regressive interpolation and iterative over-relaxation, more rapid than the ordinary iterative method is proposed in the paper.This approach is mainly aimed at studying the stress in large foundation of hydraulic structures as well as the stress concentration at edges and corners of the dam and is also applicable to other types of structure.

在弹性力学的有限单元法中,几何相似的平面或空间等应变元,其劲度系数相等或成一定比例.由这一性质我们可将结构分成几个大块母元,然后由计算机再将每个母元细分成若干个彼此相似的子元.由于子元间的相似性,结构的整体劲度场中同一类型的结点,其劲度系数是相同的.在采用迭代法求解时,结构整体劲度场的计算量及存储量都大大减小.本文提出了比一般迭代法快得多的递推插值超松弛迭代法. 本方法是为深入研究水工结构的大范围地基应力及大坝角缘应力集中问题提出的,显然它也适用于各种类型的其它结构.

The migration of higher-order equation can be achieved by first re- solving an approximate higher-order equation into (n-l) second order equations by means of split method (n is the order of the higher-order equa- tion) and then solving these second order equations by means of finite dif- ference method. The above method is almost not limited in the angle of dip, therefore the accuracy of migration is increased.

本文提出用分裂法把高阶近似方程分解为n-1个(n为高阶方程的阶数)二阶方程,然后用有限差分法交替地解这些二阶方程就可以实现高阶方程的偏移。本方法突破了现有差分法对倾角的局限性,因此提高了偏移的精度。

Stability of the Du fort-Frankel (DUFF) type of difference scheme for high order equation is considered in [1] by S.Mckee. In this paper, stability of the DUFF type of difference scheme for the ge- neral high order equation si considered. Where coefficients a ij>0, a i i = a j i (i, j = 1, 2, …, M)are all consta- nt and yields Where allξ1,ξ2,…ξM are not equal to zero.

S.Mckee在[1]中讨论了高阶方程 的Du Fort-Frankel(DUFF)差分格式的稳定性,本文讨论一般的高阶方程 的一个DUFF型差分格式的稳定性.其中系数aii>0,aij=aji(ij=1,2,…,M)均为常数, 且满足关系式 其中ξ1,ξ2,…ξM不全为零的任意实数。

 
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