Then the interface stiffness matrices and the mass matrices are assembled serially and the final reduced equations are solved.
再串行组集界面刚度和质量阵，并求解缩减后的整体方程。
The coupled boundary integral equations and their reduced forms are deduced for hybrid mode problems, and these equations are discreted into a system of linear algebraic equations by moment method.
导出了关于混合模的耦合边界积分方程组及其退化形式，并用矩量法将之离散为齐次代数方程组，从而得波导的混合模传输常数；
Then, using the multi-parameter stability theory and unification technique, we solved the reduced equation and obtained the bifurcation equations and their solution.
再利用多参数稳定性理论及归一化技术，对约化方程进行求解，得到了分岔方程。
Finally, the problems can be reduced to solving a low order system of algebraic equations like the initial parameter algorithm.
问题最后和初参数算法一样能归结为求解一个低阶代数方程组。
When analyzed mathematically, the problem can be reduced to solving a system of multivariate equations.
从数学角度分析，该问题可简化为求解多变元方程组。
When the order of dynamic differential equation is reduced, the size of matrices and equations of the proposed method are only half of that of the RPTSIM.
与更新精细积分法相比，在实现动力微分方程降阶后，矩阵尺度和方程个数减少一半；
Therefore, the solution of the problem can be reduced to a series of algebraic equations and solved numerically by truncating the finite terms of the infinite algebraic equations.
因此，该问题的解答可归结为对一组无穷代数方程组的求解问题，并可利用截断有限项的方法对其进行计算。
In cylindrical helical coordinates, generalized magnetohydrodynamic (MHD) equations are reduced to four first order differential equations.
采用柱螺旋坐标系，把广义磁流体力学方程组简化为四元一阶微分方程组。
Using the method, the dimension of loop equations and the calculation to solve for loop equations are reduced.
这种方法减少了回路方程的维数和求解回路方程计算。
Numbers of equations can be reduced by using this method. Finally an example is presented to illustrate these results.
这种做法可以减少方程的数目，使问题得到简化，最后给出一个说明性算例。
Another advantage of the method is that the order of the reduced dynamic equations will not be controlled by degrees of freedom on interface, because there is not any interface between substructures.
此方法的另一个优点在于它是无界面的子结构，动力方程的缩减不受界面目由度的控制。
The solution of the problem is finally reduced to solving a set of infinite algebraic equations.
问题最后可归结为求解一组无穷型的线性代数方程。
To overcome the reduced convergence speed of iteration method, multigrid method is introduced and algebraic multigrid is adopted to solve discretized equations because of its higher effectiveness.
针对非结构化网格上迭代收敛速度会逐渐减慢的特点，引入了多重网格求解技术，采用了其中效率较高的代数多重网格方法对离散方程进行求解。
By combining various orders of homogenized non-Fourier heat conduction equations, the reduced time dependence is eliminated and the fourth-order differential equations are derived.
合并不同阶的均匀化非傅立叶热传导方程，消去缩小时间尺度参数，得到四阶微分方程。
The generalized power function is introduced and the reduced Lagrange equations are used in the analysis of complex circuits and Electromechanical systems.
本文引入广义功率函数和简化拉格朗日方程，并用来分析复杂电路和机电系统。
Infinite integrals of coefficients of algebraic equations are reduced to finite integrals by using contour integral and the principle of analytic continuation.
并提出可以用围线积分和解析开拓原理把方程组系数的无穷积分化为有穷积分。
The problem of a cylindrical interface crack is reduced to a system of singular integral equations with the aid of two unknown dislocation functions at the interface crack surface.
以裂纹面上的位错函数为未知量将圆柱型界面裂纹问题化成一组奇异积分方程的求解问题。
The complex function series which approach the solution of that problem and general expressions for boundary, conditions are given. The problem is reduced to the solution of algebraic equations.
构造了逼近这个问题解答的完备的函数序列和边界条件表达式，并将问题归结为对一组代数方程组的求解。
With the symmetry applied to the solution process, the matrix equations were simplified, and the amount of calculation was reduced greatly.
将物体的对称性应用到求解过程中，从而简化了矩阵方程，大大节约了计算量和计算时间。
Very general systems of differential equations can be reduced to the normal form.
形式很普通的微分方程组可以化为正规的形式。
Uses a reduced-Newton algorithm with a weak line search to solve a set of non-linear algebraic equations.
使用简化的牛顿计算方法和弱队列搜索来解决一系列的非线性代数方程。
From the basic equations of a linear viscoelastic solid, we introduce general expressions of displacement so that the problem is reduced to solving a linear integral equation.
直接从线性粘弹性基本方程着手，引进位移的一般表达式，将问题归结为求解一个线性积分方程。
By adding some redundant variables, the high nonlinear diagnosis equations can be reduced to quadratic equations.
该方法是通过增加某些冗余变量，使得高次非线性诊断方程降为二次非线性方程。
Using the Reduced—Dimension Maps, this paper provides the diagram method of Multivariate Logic Equations.
本文以降维图为工具，给出了多变量逻辑方程组的图解法。
And finally, the solution of the problem can be reduced to a series of algebraic equations and solved numerically by truncating the finite terms of the infinite algebraic equations.
该问题的解答，可以应用移动坐标的方法逐个满足各个圆孔上的边界条件，因此，最终又可归结为对一组无穷代数方程组的求解，可利用截断有限项的方法对其进行计算。
Measured in the least squares adjustment of the function model to solve problems, eventually reduced to the problem of linear equations.
在最小二乘测量平差的函数模型求解问题中，最后都归结为线性方程组的求解问题。
The master equations of a reduced system density operator , by means of the Liouville equation and the projection operators techniques have been derived.
在本文中我们利用投影算符技巧通过刘维方程推导了系统约化密度主方程，这种方法特别适合于赝非马尔可夫的库场情况。
The calculation time of cascade circuit was reduced by using of the chase after method of tridiagonal equations.
对互联电路的计算，可利用三对角线方程组的追赶法，减小了计算量，提高了计算速度。
The 2b-Signal flow graph is reduced to a state matrix flow graph, by means of which the state equations can be written out directly.
信号流图被化简为一种状态矩阵流图，籍助此流图状态方程可直接写出。
The 2b-Signal flow graph is reduced to a state matrix flow graph, by means of which the state equations can be written out directly.
信号流图被化简为一种状态矩阵流图，籍助此流图状态方程可直接写出。
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