求解

Meanwhile, the use of matrix diagonalization in the numerical solution of the problem greatly reduces the CPU time and the storage of computer.

在隐式求解过程中，采用了矩阵对角化算法大大减少了求解方程所需的计算机时和内存，在小型计算机上即可进行。

An eigen matrix diagonalization method for solving this category of special mechanical quantities is derived.

在力学中，类似这些力学量的求解可归结为矩阵特征值或特征向量的求解。

In this paper, the idea of that derivative is replaced with difference quotient is involved in calculating each item of Jacobi matrix.

船舶自由浮态计算实质也是求解一个隐式非线性方程组，故同样可用这一方法求解。

The concept of topology optimization of truss structures with discrete variables including two kinds of variables and the relative difference quotient algorithm for discrete optimization are extended to the topology optimization of plate and shell structures composed by plate and shell elements.

将包含两类变量的桁架结构拓扑优化设计的概念及求解离散优化的相对差商法进一步推广到由板壳单元组成的板壳结构的拓扑优化，建立了包含两类变量的板壳结构拓扑优化设计模型，并采用相对差商算法进行求解。

The solution can't already behalf the real movement of the constraint multibody system so the default of the constraint equation must be restrained; On the other hand is how to turn the differential — algebra hybrid equations into the pure differential equations effectively.

得到的解已经不能表示约束多体系统的真实运动，所以必须对约束方程的违约进行抑制；另一方面是怎样有效地将微分—代数混合方程组化为纯微分方程组，运用求解微分方程组的计算方法求解。

Application of FLAC and numerical differential to surface deformation observation;2. The formulas solving numerical differential and integral of discrete function arc deduced in this paper.

推导了三次样条插值在求解列表函数的数值微分与积分的公式，给出了余项估计，编写了用于求解数值微分与积分的通用程序，通过数值算例表明，三次样条在插值逼近中具有非常好的性质。

The calculation of initial alignment direction cosine matrix between SINS body frame and navigation reference frame is expanded into three parts:(1) the DCM between i0 frame and n frame is easily obtained via local geographical coordinates and initial alignment time;(2) by expressing SINS specific force equation in b frame and by the aid of external velocity log, the constant DCM from i(subscript 0) frame to i0 frame is achieved;(3) attitude updating using gyro samples gets the DCM between b frame and i(subscript b0) frame.

将捷联惯组坐标系与导航坐标系之间的初始对准姿态矩阵的实现分解为三步骤：(1)通过地理位置和初始对准时间求解i0系至n系的变换矩阵；(2)通过惯导比力方程变形，引入刚速仪速度辅助，求解从i(下标 b0)系至i0系的常值变换矩阵；(3)使用姿态更新算法实时计算b相对于i(下标 b0)系的变换矩阵。

On moving base, a new initial alignment algorithm for strapdown inertial navigation system is proposed. In the algorithm, two special inertial frames, the initial-time inertial frame (i0 frame) and the initial-time SINS body inertial frame (ib0 frame), are defined and are selected as calculation reference frames, then, the calculation of initial alignment direction cosine matrix is expanded into three parts:(1) the DCM between i0 frame and the navigation frame will be easily obtained via local geographical coordinates and initial alignment time;(2) attitude updating using gyro samples gets the DCM between SINS frame and ib0 frame;(3) by explaining SINS specific force equation in SINS body frame, the relation between velocity log, accelerometer measurement and gravity acceleration is established to achieve the constant DCM from ib0 frame to i0 frame.

在运载体运动情况下，提出了一种适用于捷联惯导系初始对准的新算法，该算法以惯性空间为参考基准，即建立了初始时刻惯性坐标系（i0系）和初始时刻捷联惯组惯性坐标系（ib0系）两个惯性坐标系，将初始对准姿态矩阵的实现分解为三部分：（1）通过地理位置和初始对准时间求解i0系至导航坐标系的变换矩阵；（2）使用姿态更新算法实时计算捷联惯组相对于ib0系的变换矩阵；（3）通过惯导比力方程变形，获得测速仪辅助测量、加速度计输出和重力加速度之间的关系，从中可以求解出从ib0系至i0系的常值变换矩阵。

The time-dependent Dirichlet boundary condition was used to describe the variation of water head during water level fluctuation.

模型的求解采用效率较高的积分有限差分法进行空间离散，并编制了全隐式联立求解的计算程序，通过变换主要变量，实现了饱和与非饱和的相互转变，采用随时间变化的Dirichlet边界条件精确模拟水位波动时的变水头边界条件。

A parallel algorithm for certain real symmetric block-tridiagonal linear systems on distributed-memory multicomputers is proposed. This algorithm is based on the block factorization of the coefficient matrix. This algorithm is used to solving the block-tridiagonal linear systems resulted from the finite difference approximation to Poisson's equation with Dirichlet boundary conditions. Then we get a parallel algorithm which speedup tends to linear speedup.

7研究了一类实对称块三对角线性方程组的分布式并行求解，提出了一种基于块矩阵分解的高效分布式并行算法，将其应用于求解带Dirichlet边界条件的Poisson方程导出的块三对角线性方程组，得到加速比趋于线性加速比的分布式并行算法，理论上说，这也是并行算法的理想情况。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。