问题求解

It is usually that the solution for the Dirichlet problem can not be obtained actually. With the development of computers, people pay more and more attention to the numerical solution. Many ideas and methods have appeared. Among them the finite element method has become most popular. But the finite element method has some weaknesses and limitations too.

绝大多数Dirichlet问题的解析解往往难以得到，随着计算机技术的发展，Dirichlet问题的数值解法越来越受到人们的重视，新的思想和方法不断涌现，其中有限元法已经发展成为目前求解Dirichlet问题的最主要的数值方法，但是有限元法解决该问题时，存在着一些弱点和局限。

In present paper how to get the solutionof dirichlet's problem of complex monge-amp'ere equation on the cartan-hartogs domainof the first type is discussed by using the analytic method.

但它的求解，尤其是高阶的求解非常困难。这篇文章就第一型的cartan-hartogs域上关于dirichlet问题的复monge-ampere方程进行讨论。

In present paper how to get the solutionof dirichlet's problem of complex monge-amp'ere equation on the cartan-hartogs domainof the second type is discussed by using the analytic method.

但它的求解，尤其是高阶的求解非常困难。这篇文章就第二型的cartan-hartogs域上关于dirichlet问题的复monge-ampere方程进行讨论。

By defining time span combination, the continuous varying parameter optimization problem is transformed to discrete multi-parameter optimization problem and model is constructed.

引入时段组合的概念，将连续问题转化成离散问题，将变参数优化问题转化成多参数优化问题，建立了相应的数学模型，并给出简化求解的方法。

Based on the ICMmethod,the discrete topological optimization problem about spot-weld's existence or not is transformed into the continuous optimization problem on[0,1].The optimization model is founded with maximizing the structural stiffness as objective and structural strength as constraints.The problem of multi-objectives and multi-constraints is transformed into the problem of single-objective and single-constraint with the K-S function.The displacement and stress are transformed into the explicit function of design variables with the Response Surface Methodology.The optimization model is solved with Sequential Quadratic Program.

基于ICM（Independent Continuous Mapping，即独立、连续、映射）方法，将焊点有无的离散拓扑优化问题转化为[0，1]区间上的连续优化问题；建立了以结构刚度最大为目标、结构强度为约束的连续拓扑优化模型；采用K-S函数将多目标和多约束问题转化为单目标和单约束问题；运用响应面方法将位移和应力转化为设计变量的显式函数，采用序列二次规划方法求解优化模型。

In this algorithm, at first the reactive power optimization problem is converted to integer nonlinear programming problem with discrete control variables which are solved by IGA; then by use of PDIP algorithm, the continuous variables which can match with the obtained most are solved, and the reactive power optimization is changed into a nonlinear programming problem with continuous control variables.

首先通过改进遗传算法求解无功优化问题中的离散变量，然后采用原对偶内点法求解与已获得离散变量最匹配的连续变量。

In order to solve the problem that the multi-velocity sampling is difficult to calculate the broadband correlative processing ectypes, a calculation method based on the anti-confusion chirp Z transform is presentedfor broadband correlative ectype fast Fourier transform in this paper.

针对多速率采样难以实现宽带相关处理副本求解的问题，提出了通过CZT变换求解宽带相关副本FFT的计算方法。

But the equivalent computation of algebraic equation must be performed to get state variables corrections.

但是，这些算法中的大多数是在实时潮流计算的基础上，利用其中间结果和线性系统的叠加原理，直接求解出事故后的状态变量，都需要通过网络方程求解整个网络状态变量的增量，计算量较大，难于满足紧急状态下快速安全性评估的实时性要求，国内外一系列因静态潮流问题引起的大停电事故就是例证。

The problems considered can be very facilely translated into Riemann-Hilbert problem by application of the approaches which are resolved by usual Muskhelishvili's methods, and their closed solutions are acquired rather straightforward.

应用该法可以很容易地将所讨论的问题转化为Riemann-Hilbert问题，而后一问题可以用通常的Muskhel-ishvili方法进行求解，并且可以相当简单地得到问题的闭合解。

A linear feasible direction algorithm is proposed to calculate reliability index of structure.

为克服当极限状态曲面方程非线性程度较高时应用一次二阶矩法求解可靠指标可能不收敛的问题，提出一种求解结构可靠指标的线性可行方向算法。

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。