数值方程

The general form of solution for the non symmetric matrix A is given, the expression of optimal approximation solution is presented, and an algorithm for solving the problem is described. The total least squares problem with symmetric and bisymmetry constraints is discussed respectively. A sufficient condition for existence of solution is derived by use of the theory of matrix Ricaati equation. The general form of solution is given if the problem has a solution, and the expression of optimal approximation solution is presented. Some numerical examples are given.

对矩阵A是非对称情形，给出了解的一般表达式，证明了最佳逼近问题解的存在唯一性，并给出了其解的表达式，描述了求解问题的算法；讨论了带对称和双对称约束的总体最小二乘问题，利用Ricaati矩阵方程的理论得到了解存在的一个充分条件，分别对对称矩阵和双对称矩阵两种情形，给出了解的一般表达式，证明了最佳逼近问题解的存在唯一性，给出了其解的表达式，提出了求解这些问题的算法，并给出了数值例子。

It is almost impossible to access the analytical solutions of relaxation equations, so the computer program for numerical solutions is developed. By means of the program and the Bloch equations, the steady state solutions of two...

在此基础上，编制了弛豫方程组数值解的计算程序，分别用此程序和Bloch方程计算了双自旋体系在不同情况下的稳态解，并对计算结果进行了简要的分析和讨论。

The cinder leakage of the circulating fluid bed boiler's air plate is very serious, on the foundation of the investigation and the analysis, the paper carries on the wind pressure and speed test experiment to the primary w...

为了有效地控制布风板漏渣，提出了采用侧置箭头型风帽和一次风口内加装均流板的改进方案，采用k-ε双方程模型进行了数值模拟及工业性试验。

The paper takes the cinder leakage of the circulating fluid bed boiler's air plate as the research topic, carries on the analysis and research in allusion to the seriously cinder leakage reason of the circulating fluid bed boiler in Baotou first thermal power plant.

论文在对循环流化床锅炉布风板严重漏渣原因进行调研和分析的基础上，对一次风室进行了风压、风速测试试验，采用k-ε双方程模型对一次风室的流场进行了数值模拟，并对试验结果和模拟结果进行了分析与研究。

Energy distribution function and chemical reaction rate coefficient s were calculated through Boltzmann equation analysis and collision theory.

应用碰撞理论和波尔兹曼方程分析，对能量分布函数及反应速率常数进行数值模拟，得到离解反应速率常数与温度的曲线，分析预报各反应过程及表现。

Using spherical harmonic function expansion and finite element method,Boltzmann transport equation is solved numerically,the convergence of the method is approved.

讨论了谱有限元方法在中子测井数值模拟中的应用，用球谐函数谱展开和有限元耦合方法求解Boltzmann中子输运方程，得到了这种耦合方法的收敛性。

New Prgress of Collocation Method,Boundary Element Method,and Moving Finite Element Method Forthe Evolution Model of a Basin

中文题名发展方程初边值问题的配置法，边界元法新进展及油气盆地发育史的数值模拟新方法

Based on the nonlinear dynamical equation of product packaging system,the shock spectra and the damage boundary curve of tangent nonlinear packaging system under the action of half-sinusoid pulse are obtained using a numerical method,and the influence of various factors on shock response is discussed.

采用数值求解单自由度产品包装系统的非线性动力学方程，得到了半正弦波冲击下正切型非线性包装系统的冲击谱曲线和边界破损曲线，讨论了相关参数对它们的影响

Damage function is introduced in elastic and plastic modulus expression of the bounding surface formulation directly; then a bounding surface damage model for structural soft soil is developed; the complication induced by introducing damage parameter into the bounding surface equation is avoided and its numerical implementation is easy for the analysis of earth structures.

在边界面理论的弹塑性模量中直接引入损伤函数，建立结构性软土的边界面损伤模型，避免了在边界面方程中引入损伤变量带来的复杂性，易于在土工数值分析时采用。

In Chapter 4,with the consideringof the reflection and transmission,we solved analytically the two-dimension 〓equation for the diffraction of the atomic de Broglie waves by a resonant standing laser fieldand calculated numerically the density distributions,the momentum distributions,and thereflection coefficient.

对于二能级原子在激光驻波栅上的衍射问题，我们严格求解了原子与共振激光驻波场相互作用的〓方程，数值计算了原子空间密度分布，动量分布，以及原子反射率与透射率。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新