数值方法

Introduction to the fundamental idea, error analysis, stability analysis of numerical

说明数值方法的理论基础，并进行数值解的稳定性与误差分析。

Introduction to the fundamental idea, error analysis, stability analysis of numerical methods

课程目的：说明数值方法的理论基础，并进行数值解的稳定性与误差分析。

To improve the order of convergence for the modified Douglas scheme,Richardson extrapolation is also presented.

另外每一章均给出数值例子显示所采用数值方法的可行性。

A numerical model based on nonlinear shallow water equations and finite volume method is developed, which can calculate the overtopping discharge of oblique and multidirectional wave on sloping seawall.

本文以非线性浅水方程为基本公式，有限体积法为数值方法建立了可以计算斜向和多向不规则波在斜坡堤上越浪量的数值模型。

This paper considers the pricing model of options under illiquidity. A new numerical procedure for solving the nonlinear parabolic partial differential equation is explored and the Thomas algorithm is used to improving the efficiency of the numerical scheme.

本篇论文提出一个在市场流动性不足情况发生时的选择权订价模型，并且发展一个新的数值方法来求解一个非线性抛物线型态的偏微分方程式，同时利用汤马斯演算法来提升数值运算的效率。

Numerical method is presented by using singular value decomposition and an example is given.

应用奇异值分解，给出了结构模型修正的数值方法，并进行了数值实验。

In the method of numerical analysis, the spatial part of equation system in strong conservation form is first discretized by conventional central finite-difference approximation and then the system of partial differential equations becomes a system of ordinary difference equations.

本文所建数值方法的基本空间离散格式是中心差分，并用源于Jameson的标量耗散模型抑制数值波动；采用经典四阶龙格—库塔法积分经过空间离散后得到的常微分方程组当残差足够小时的解为稳态解。

A model for predicting aerodynamic stability of axial compressor in turbojet or turbofan engine is presented.

本文介绍一种模拟发动机压缩系统气动稳定性的数值模型和数值方法，并给出3个算例及其分析。

To solve the difficulties of digital integral that exist in global optimization of redundant manipulators, this paper discussed how to build up dynamic equation, the inner relation between constraints and unconstraint optimum control problems, then a digital method solving optimum control problems is deeply analyzed.

为了解决冗余度机器人全局法优化中数值求解的困难，本文讨论了动力学方程的建立、无约束和有约束最优控制问题之间的内在联系，重点分析了求解最优控制问题的数值方法。

A mathematical model was developed and the flow field of the polymer at the melting zone was obtained numerically.The numerical data including the width of solid bed and pressure fit well with those of experiments.

通过建立螺杆冷却时熔融理论的数学模型，用数值方法获得了熔融段聚合物流场的数值解，结果表明，理论预测的固体床宽度和机筒压力与实验结果基本吻合。

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。