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Thus, the model and method developed exhibit very good convergence behavior in computation and provide accurate predictions of the mechanical behaviours and displacement distributions in the nanotubes.

与一般的数值方法相比较，本文的方法不需要传统的那种冗长的、反复的迭代，并具有非常好的收敛性，因此为碳纳米管结构力学行为的有效预测提供了保障。

Combining the new preconditioner with GMRES, both convergency and convergence rate of power flow computation can be improved.

利用矩阵的对称反对称分裂，提出一种新的预处理子，并将其与GMRES算法相结合，改进潮流计算的收敛性和收敛速度。

In the more mature areas such as linear programming and unconstrained optimization, and in those of intermediate maturity such as integer and constrained convex optimization, emphasis will be placed on rapid, large-scale computation.

在那些更为成熟的如线性规划和无约束优化等领域和一些不太成熟的如整数和约束优化等领域，研究的重点将被放到快速的，大规模的计算上。

The three dimension parallel numerical computation of the wet-sieved concrete specimen was executed successfully to verify the program of random convex polyhedron aggregate.

4为了验证本文提出的多面体骨料生成方法，利用现有细观力学分析并行程序成功地实现了对湿筛混凝土试件三维细观并行数值计算。

In chapter three, we prove that there exist solutions to the Ky Fan variation inequality, as the set-valued mappings are defined on spheres in infinite dimensional Banach spaces or odd dimensional Euclidean spaces, following from these theorems, we obtain some fixed point theorems for set-valued mappings defined on a sphere. When G is an approximate compact convex subset of E, or G is a almost quasi-convex set-valued mapping, we prove that there exist solutions to and type generalized Ky Fan variation inequality, following these theorems, we prove several best approximation theorems and coincidence theorems involving two set-valued mappings and two different spaces. In chapter four, we first present a new Simplicial algorithm for computing the Leray - Schauder fixed points, the algorithm can solve the set-valued nonlinear complementarily problem. We give a condition to guarantee the computation proceeding in a bounded region. We present integer-labeling algorithms for computing fixed points of some set-valued mappings, the best approximation points and solutions to a kind of set-valued variation inequalities.

第四章给出了计算定义在非凸集上的非自映射的Leray-Schauder不动点的算法，而现有的不动点算法都是计算凸集的上半连续集值自映射的不动点；给出了保证计算有界的一个充分条件，我们的条件大大弱于Mdrrill条件，我们的算法也可用来计算Eaves不动点；给出了集值非线性互补问题存在解的一个充分条件，此时可利用Leray-Schauder不动点算法来求解；向量标号算法以往是计算集值映射不动点的唯一有效算法，我们给出用整数标号算法计算一类集值映射的Kakutani 不动点的算法；定义在紧凸集上的连续映射不一定有不动点，但一定有最近点，最近点是不动点概念的推广，我们给出了计算最近点的算法；集值映射变分不等式尚无有效的求解算法，我们给出求解一类集值映射变分不等式的算法。

By the study of several typic methods of determining convexo-concave features for vertices of polygon, the computation time complexity of these methods was analysed, and those methods were implemented in VC++.

摘 要：主要针对几种典型的多边形顶点凸凹性识别算法进行研究，对它们的计算时间复杂度进行分析，并用 VC++6.0实现多边形顶点凸凹性的高效识别。

In this paper, taking the downward continuation of potential field as an inverse problem of upward continuation, we obtain a convolution type linear integral equation for downward continuation. Making use of the orthogonal symmetry characteristic of Fourier transform matrix, and combining the principles of singular value decomposition of matrix and generalized inverse, we proposed a stable generalized inverse method for downward continuation of potential field, called wavenumber domain generalized inverse algorithm, which doesn't need the computation for inverse matrix. It resolves the instability of potential field downward continuation of large depth.

本文通过把位场向下延拓视为向上延拓的反问题，得到向下延拓的褶积型线性积分方程，再利用Fourier变换矩阵的正交对称特性，并结合矩阵的奇异值分解和广义逆原理，提出了一种稳定的不需要进行求逆运算的位场向下延拓广义逆方法——波数域广义逆算法，解决了位场大深度向下延拓的不稳定性问题。

This paper mainly discusses the design and implementation of convolution computation in image processing on MCC-SIMD computer.

主要研究卷积计算的数据并行方法在MCC-SIMD计算机的设计和实现问题。

Through to the road grade separation circular route mathematical model's research, has based on this compiled the road grade separation circular route coordinate computational procedure; Each kind of curve linear on the one hand pile computation general formula's establishment, is advantageous in the programming solves on the other hand any curve the pile coordinate.

通过对公路立交匝道数学模型的研究，在此基础上编写了公路立交匝道坐标计算程序；各种曲线线形边桩计算通用公式的建立，有利于编程以解决任何曲线边桩坐标。

When the second surface integral is calculated and the integral surface has some coordinate plane symmetry, computation can be simplified according to the integral odevity.

在计算第二型曲面积分时，当积分曲面关于某个坐标面对称时，则可根据被积函数的奇偶性进行化简。

Many will continue to choose to live in duality and in conflict.

许多人将继续选择活在二元对立性和冲突中。

I find that students of the University of Physical Education all wear sportswear at first sight.

我发现：体育大学的学生乍一看，都是穿运动衣，大家都一样