问题求解

The solution of some practical problems in engineering can be regarded as that of periodic solution of nonlinear autonomous systems according to the opinion of mathematics, The problems of this kind are analysed by means of the direct numerical method in this paper,The simple and convenient Draw Newton Method is applied for solving the parameter vectors in iteration course along with the calculation of a practical engineering problem.

日I崖旨J，'口工程中的一些实际问题往往可以归结为非线性自治系统，例如描述同步发电机暂态稳定性问题的转子摇摆方程，即是一典型的非线性自治系统。虽然可以用各种小参数摄动法求解非线性系统，但是这类方法是依据对线性系统的解进行"摄动"来逼近非线性系统解的。因而当系统

The numerical algorithms of the direct acoustic scattering problem with the Dirichlet boundary condition is studied,which is the foundation of the inverse acoustic scattering problem.

数值求解Dirichlet边界条件下的声波障碍散射正问题，这是声波散射反问题的研究基础。

Based on these, a new numerical method for the Dirichlet problem is proposed in this thesis.

本学位论文，正是注意到了这些现象，提出了一种求解Dirichlet问题的新数值方法，克服了以往使用其它数值方法时常常遇到的困难和局限性，显示了分析数学中的问题借助概率理论来解决有着广阔的前景，在理论上和实际中都有着很好的意义。

Based on these, a new numerical method for the Dirichlet problem is proposed in this thesis. This method overcomes the difficulties and limitations resulting from others. It shows that solving problems in analysis by probability theory has a bright future both in theory and practice.

本学位论文，正是注意到了这些现象，提出了一种求解Dirichlet问题的新数值方法，克服了以往使用其它数值方法时常常遇到的困难和局限性，显示了分析数学中的问题借助概率理论来解决有着广阔的前景，在理论上和实际中都有着很好的意义。

In reliability-based optimization problems of a ship's longitudinal structural design, there are lots of discrete variables and continuous variables. This kind of mixed-discrete non-linear optimization problem containing discrete and continuous variables has long been payed attention to, which is more difficult to solve when a number of reliability constraints are taken into account.

在船舶纵向结构的可靠性优化设计中，含有许多离散型设计变量和连续型设计变量，这种含有两种不同性质设计变量的大型结构物的混和优化问题，一直是人们瞩目的难题，尤其是考虑了多个可靠性约束条件之后，求解这种非线性优化问题就更为困难。

The discrete 0-1 programming problem is translated into continuous nonlinear optimization problem by polish function, and the nonlinear optimization problem is solved by contraction algorithm.

3利用过滤函数近似处理连续体拓扑优化问题，使用缩并解法实现了对连续体拓扑优化问题的求解。

In this study, we modify disjunctive graph to represent multiple-resource job shop scheduling and develop a branch-and-bound technique to solve this problem.

在本论文中，我们修改离散图形表示多资源零工式生产排程问题，并且发展新的分支界限技巧求解这类问题。

By means of the projection method,adding a small disturbing function to the objective function, the penalty method, andthe gradient method, this dissertation proposes several neural networks for solvingsaddle point problems and minimum radius of ball-coverings problems, and investi-gates the stability of the proposed networks by the LaSalle invariance principle andthe Lyapunov method, so as to design neural networks which avoid getting stuck inthe local minimum.

本文针对约束鞍点问题和球覆盖最小半径的计算问题，分别利用投影法、对目标函数加上很小"扰动函数"的逼近法、罚函数法和梯度法等建立神经网络模型进行求解，并基于LaSalle不变集原理和Lyapunov直接法等工具，对模型的动态特性进行研究，从而设计出避免陷入局部极小的优化计算神经网络模型。

It researches on the approach to achieve continuous connections of container multimodal transport logistics system. Based on the idea of continuous connections the paper discusses the container transport choosing route problem. It combines the appropriate adimensionalize method in the appraisement method and mathematic model and resolves the problem that the unit of time and cost disunite and sets up the time-cost transportation route optimizing model which is an innovation on the basis of previous studies and gives an example to validate the model using the LINDO software.

在"无缝衔接"的思想下研究集装箱运输路径选择问题，在前人的研究上进行了创新，将评价方法中的合适的无量纲化方法与数学模型结合，解决了时间和成本单位不统一的问题，建立了时间—成本运输径路优化模型，并举例验证应用LINDO软件进行求解，说明了此模型的正确性。

The introduction of line searches requires the solution of sub-problems must be a dropped direction, that is g T k δ k 0, In this paper, we study the existed methods of solving sub-problems, prove Zhang and Xun 1999's dogleg method and Steihaug 1983's conjugate gradient method to meet the condition of adequate decrease, then the solution can be used in line search.

引入线搜索要求子问题的解必须是下降方向，即g T k δ k 0，本文研究了现存的子问题的求解方法，证明了Zhang和Xun1999折线法、Steihaug1983共轭梯度法满足"充分下降条件"，得到的解可以安全实施线搜索。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。