条件方程

After summarizing the waveform relaxation methods and domain decomposition, we finish some research on optimal Schwarz waveform relaxation algorithm as follows: In the first part, we apply Schwarz waveform relaxation methods on telegraph equation system to get optimal transmission conditions to speed up the algorithm.

在对波形松弛算法以及区域分解进行了综述性介绍后，本文对Schwarz波形松弛迭代算法具体进行了以下研究：首先，本文将在电报方程系统上应用Schwarz波形松弛迭代算法，通过强制加入新的局部传输条件分别给出了两种加速算法并通过定理保证了其优化后的收敛性，进而得到优化Schwarz波形松弛算法，然后通过数值试验对传统Schwarz波形松弛算法与优化Schwarz波形松弛算法进行了比较，研究了收敛率与优化系数的关系，找到了使算法最优的系数取值；最后得出优化后的Schwarz波形松弛算法优于常规Schwarz波形松弛算法的结论。

When nitrite accumulation occurred temperately in the system, piecewise zero-order kinetic model and dynamic model based on Monod equations were both used to describe the experimental data, and related parameters were analyzed.

在系统亚硝酸盐暂时积累条件下，分别采用分段零级动力学模型和基于Monod方程的动态模型，拟合试验数据，并求算相应的动力学参数。

The operators are simple and easy to be implemented in the FEM. The mathematical models for the combination of ABCs and FEM are investigated and established.

其次研究并建立了标量渐近边界条件与有限元法结合的三维开域静磁场的数学模型，并提出具体的实施方法，推导出相应的离散方程。

The analysis results showed that the strapdown approach will be faced to more error sources with sensor noise and motion disturbance. The simulation results verified this and indicated that the performance of the strapdown approach would not be as efficient as that of the direct approach.3. Analyzing the principle and error model of MEMS QRS gyro for the purpose of practical applications, the paper presented an autoregressive model for the gyro signal by means of time series theory.

应用牛顿力学原理分析了光电稳定跟踪机构的惯量耦合关系和动力学模型，推导了平台单轴伺服回路的控制方程，比较了直接稳定和捷联稳定方案在测量噪声和外部扰动共同作用下的性能特点，仿真结果表明，在同等噪声和扰动条件下，捷联稳定面临更多的误差源，因而最终的稳定精度较难达到直接稳定系统的水平。3。

Under the model of local thermodynamic equilibrium,electronic temperature of Fe plasma is deduced to be around 104 K with assistance of Saha equation.

在局部热力学平衡条件下，根据所测谱线的相对强度，利用Saha方程得到等离子体电子温度约为104 K。

A physical model describing the heat and mass transfer processes of the evaporating thin film is set up and an evolution equation which shows the development regularity of dimensionless film thickness with time is obtained from the liquid vapor interfacial conditions.

论文对平面蒸发薄液膜的传热传质过程建立了物理模型，从汽液界面上的边界条件得到无量纲液膜厚度随时间变化的发展方程。

The IBC and the bound ar y integral equation are transformed into the third boundary condition, then the functional of the boundary value problem is obtained.

将 IBC和腔体口面边界积分方程分别转化为第三类边界条件形式，从而导出边值问题的相应泛函。

It is proved by using the function approximation theory and martrix theory that for a degenerate elliptic equation of the first class, if the third boundary value condition is satisfied at its nondegenerate boundary and the given derivative values are satisfied at its degenerate boundary, then its solution is existent and unique.

摘 要 运用逼近理论及矩阵理论证明：如果一类退化椭圆型方程在非退化边界上满足第三边界条件，在退化边界上满足给定微商值，那么它的解是存在且唯一的。

It solved the transcendental equation of different terminalcondition rigid suspension bar cable force and the frequency byprogramming composition with the determinant search method.

采用行列式搜索法，通过编制程序对不同边界条件吊杆拉力与频率关系的超越方程进行求解。

In order to improve the efficiency of grid generation, a two-boundary algebraic method based on transfinite interpolation was developed to generate two-dimensional grid system within geometrically complex two-dimensional plane domain rapidly.

为提高网格生成效率，提出了一种基于超限插值的双边界代数网格生成方法，可快速生成边界正交的贴体网格，引入几何一致性条件保证物理区域不变形，同时发展一系列拉伸方程控制网格分布。

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。