数值计算

The model takes account of CFB boiler components such as the dense and dilute region, gassolid separator, standpipe and recycle device in detail. Several main parameters and features of CFB boiler are calculated.

同时以小室概念为基础，结合相应的数值计算方法对锅炉不同运行工况下的循环回路一些主要参数的动态过程进行了大量的模拟计算。

Chapter 7 at first introduces the elementary theory of subentry coefficient designing methods and deduces the calculational formula of single safety factor considering the reliability, then propounds the numerical calculation method of random safety factor to make foundation for deep investigation.

第七章先介绍了分项系数设计法的基本原理，推导了可靠性意义下的单一安全系数的计算公式，然后提出了随机安全系数的数值计算方法，为进一步研究随机安全系数打下基础。

The aerodynamic characteristics of the cuted tip rhombus wing and double-delta wing of middling sweepback angle and aspect ratio about sixty type are investigated by a numerical method based on Eular equations.

采用Euler数值计算方法，对60多种中等后掠角及展弦比的切尖菱形机翼、双三角机翼纵向气动力特性进行了计算、分析和比较，从中筛选出16种切尖菱形机翼、14种双三角机翼进行了全机高速风洞实验研究，给出了机翼的展弦比、前缘后掠角、根梢比及几何扭转变化对全机升力、阻力及俯仰力矩的影响曲线和数据分析，在此基础上提出了用于定量估算两类机翼纵向气动力特性的关系式及修正因子。

In this paper, we give the method of solving the partial differential equations with the combine use of symbolic and numerical method, which is a new way of solving the extremely complicated partial differential equations.

本文作出了将符号计算方法和数值计算方法结合起来求解偏微分方程的研究工作，这是求解比较复杂的偏微分方程的新途径。

Deploying rock-solid numerics with world-class symbolics, Maple 9.5 offers full computing support for any activity involving mathematics. Supporting this powerful technology is a rich user environment unsurpassed in ease-of-use and an extensive range of features to shorten the learning curve and to maximize productivity gains.

它是当今世界上最优秀的几个数学软件之一，它以良好的使用环境、强有力的符号计算、高精度的数值计算、灵活的图形显示和高效的编程功能，为越来越多的教师、学生和科研人员所喜爱，并成为他们进行数学处理的工具。

By the help of numerical analysis and graphic recognition, Duffing-van der Pol non-linear vibration system with 9 parameters has been researched, the Graphic User Interface contains initial conditions, 9 parameters, power spectrums, trochoid chart of phase portraits, Poincaré mapping, analogous dynamic graph of displacements and the analogous vibration graph of mass blocks, the various dynamic characteristics of the non-linear vibration can be attained, which makes it possible to fully implement the visualized computer experiments and study of Duffing-van der Pol non-linear vibration system.

因为混沌运动十分复杂，在研究和模拟混沌运动的过程中，不但要进行大量的数值计算，而且要将计算结果直观地展示出来以便观察混沌现象，完成这一任务非计算机不可。自从洛伦茨利用计算机发现了第一个混沌吸引子以后，30多年来正是有赖于计算机技术的发展，促使混沌的研究取得迅速的发展。另一方面，混沌运动是确定性系统中出现的一种貌似随机的现象，走向混沌有其独特的过程，只有展示出它的演化过程，才能很好地了解混沌运动。也就是说，混沌是一门关于过程、演化的科学而不是一门关于状态、存在的科学。因此，只有利用计算机才能将混沌的动态过程和演化的方式真正地体现出来。

The study on the mean number of phonons of the strong-coupling bondage polarons in magnetic field;2. The first excitation energy and the mean number of phonon of the strong-coupling magetopolarons in the polyatomic semi-infinite polar crystals were studied through a linear-combination operator and unitary transformation.

采用线性组合算符和幺正变换，利用变分法计算了多原子半无限极性晶体中由电子和光学声子强耦合相互作用所产生的磁极化子的第一激发能量及平均声子数，并通过适当的数值计算图示了它们与磁场的关系。

Firstly, a scalar and vector potential analysis models of tooth-layer magnetic field in a two-degree-of-freedom motor is developed, which is the same as standard hybrid step motor. By applying the finite element method, the distribution of the tooth-layer magnetic field is studied in detail. It provides an effective means for further calculation of performance and parameters of the motor.

首先，对两自由度电机产生转矩的关键部分——齿层区域的磁场进行了细致深入的分析，提出了齿层磁场的标量位和向量位分析模型，并通过有限元的数值计算，对各种情况下齿层磁场的分布规律从微观上进行了形象的分析和研究，为完整电机的进一步计算提供了有力的工具。

The electromagnetic torques of the motor by means of both methods,Maxwell's stress and virtual displacement methods,with straight and skewed slots are determined.

结合实测数据的验证，分析了有限元剖分形式对数值计算精度的影响；阐述了两种算法在永磁电机电磁转矩计算中各自所具有的特点，分析和比较了直槽与斜槽式电机的静转矩特性；讨论了样机定位转矩与转子位移的关系

By numerical calculation in order to change the values of eigenvalues, and then calculate the corresponding wave function.

详细说明：通过数值计算的方法依次改变本征值的取值，然后计算出相应的波函数。

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