数值方程

Proceeding by Bubnov-Galerkin method in combination with numerical method based on the quadrature formula the problem was reduced to a solution of a system of nonlinear integro-differential equations with singular kernel of relaxation.

根据Bubnov-Galerkin法，结合基于求积公式的数值方法，将问题简化为求解具有松弛奇异核的非线性积分－微分方程的问题。

We did so by representing the results of a series of numerical experiments on a one-dimensional model hydrogen atom.

本文将采用数值计算法来求解含时Schrodinger方程，研究在一维氢原子模型中，外加的平行静电场，不同形状的激光脉冲以及原子处于不同初始态对谐波谱线和电离率的影响。

This graduate-level course is an advanced introduction to applications and theory of numerical methods for solution of differential equations.

这门研究生程度课程是对微分方程数值解法的应用和理论的高级导论。

Numerical solution of second order differential equations.

二阶微分方程的数值解。

The numerical solution showed that the control strategy in this paper was effective.

数值模拟结果表明，文中的控制策略是可行的，而且可通过文中的方法可得到矩阵黎卡提方程的精确解(在计算机有效精度范围内)。

In this thesis we are interested in the stability of numerical methods of delaydifferential equations.

在研究泛函微分方程的数值方法时，稳定性是最重要的课题之一。

Both the results for the numerical stability and the methods used in the stability analysis of the paper are new and valuable.

在随机延迟微分方程数值方法的稳定性研究中，无论是本文中得到的稳定性结论还是分析问题时使用的方法都是全新的，因此具有一定的价值。

This dissertation firstly analyses the background of this project, then analyses the research status of the AIP submarine, the gas leakage diffusion models, the numerical value solution of the diffusion equation, and the simulation research progress.

本文首先分析了本课题提出的背景，接着分析了目前国内外关于AIP潜艇的研究现状、气体泄漏扩散模型、扩散方程的数值解法、仿真研究进展，在此分析基础之上确定了本文的研究内容。

3The variables that described changing of gas in the room of gas operatedand moving law of piston are thought random.The numerical value answer aboutrandom differential equation is given.

3考虑描述自动机气筒压力变化规律和活塞运动规律的控制方程中各变量的随机扰动，提出了求解随机微分方程组的数值解法。

Using Matlab and its Add-ons Simulink, through establishing simulation maths model, the paper integrates open chain vector equation, numerical value simulation (computing velocity and displacement while given acceleration) and matrix algebra, etc.

利用MATLAB及其附加软件Simulink，通过建立仿真数学模型，综合开环矢量方程、数值仿真(在加速度已知时计算速度和位移)、以及矩阵代数等来完成机器人动态仿真，对所研究的机器人运动学分析结果进行验证，结果基本一致，为机器人的后续研究，如动力学，控制等奠定基础。

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