数值算法

In this paper, three methods for color image retrieval have been presented: hypercomplex SVD image retrieval, combination of hypercomplex convolution filter and hypercomplex SVD image retrieval and hypercomplex matrix correlation image retrieval. We made comparison among these hypercomplex-methods, and compared them with the traditional image retrieval methods. Experiment results showed that the hypercomplex-methods we presented in this paper could well conquer the problems existed in traditional image retrieval methods, and their retrieval results are much better. Meanwhile, this paper presented a new color image quality assessment based on hypercomplex SVD. It is a novel color image quality assessment that can be used as a graphical or a scalar measure to predict the distortion introduced by a wide range of noise sources. It reliably measures the distortion not only within a distortion type at different distortion levels, but also across different distortion types.

提出了超复数奇异值分解检索法，超复数卷积滤波与超复数奇异值分解相结合的检索法以及超复数矩阵相关检索法等三种超复数彩色图像检索方法，在对提出的三种算法进行比较的同时也将其与传统图像检索方法进行了比较，结果证明，超复数彩色图像检索法能较好地克服传统图像检索方法存在的问题，且检索结果更优；同时，本文提出了基于超复数奇异值分解的彩色图像质量客观评估法，这种全新的图形化与数值化相结合的方法不仅能够准确评估出彩色图像的不同失真等级，还能够区分不同的失真类型，从真正意义上实现了彩色图像的质量评估。

The operating process of liquid apogee engine (N2O4/MMH) thrust chamber is studied. By applying the SIMPLE algorithm with staggered grid, the numerical model is established. The atomization mechanism and decomposition combustion of hypergolic rocket propellant are considered in the model.

研究了远地点发动机(N2O4/MMH)的推力室工作过程，考虑了自燃推进剂的雾化、蒸发以及化学反应流动过程，采用交错网格系统的SIMPLE算法，得到了不同边区冷却流量对推力室的内流场和燃烧效率的影响结果，数值计算的结果与理论分析相符合，为推力室工作过程的稳定性分析提供了重要参考。

These strategies include: an improved adaptive movement penalty method which prevent ill condition matrix based numerical instability, a network topology based identification method which prevent too much tuning and a limited times skipping method of trial iteration.

在上篇中，本文给出了以下内容：第二章详细描述了最优潮流牛顿算法的实现，着重分析了牛顿法实际应用中存在着的两个主要问题：数值不稳定性和如何快速正确地识别起作用的不等式约束集，并提出了相应的处理对策。

Firstly, the fully discrete standard finite element Galerkin method and the nonlinear finite element Galerkin method and the modified finite element Galerkin method in which time is discretized by the Euler implicit difference scheme are considered, and the - and - global relative errors and CPU time corresponding to the SG method, the NG method and the MNG method are computed respectively.

首先，对于全离散(时间离散是欧拉显式格式)标准有限元Galerkin方法和非线性有限元Galerkin方法以及修正有限元非线性Galerkin方法，分别进行数值计算，并比较了三种算法的计算解与精确解的误差估计及所耗费的CPU时间，结果验证了MNG方法要优于NG方法，而NG方法又优于SG方法。

The boundary singular kernel method and the modified pen alty method are utilized to treat the essential boundary conditions and incompressibility constraint, respectively. The stiffness equation for analysis of metal forming using RKPM is derived and its key algorithms are given.

分别采用边界奇异权法和修正的罚函数法处理本质边界条件和体积不可压缩条件，推导了金属塑性成形过程无网格RKPM法数值模拟的刚度方程，给出了关键算法。

The boundary singular kernel method and modified penalty method are utilized to treat the velocity boundary conditions and incompressibility constraint, respectively. The arc-tangential friction model is employed to treat the contact conditions.

分别采用边界奇异权法和修正的罚函数法处理速度边界条件和体积不可压缩条件，采用反正切摩擦模型处理摩擦边界条件，推导了金属三维塑性成形过程EFGM法数值模拟的刚度方程，给出了关键算法。

In chapter 4 we proposed a linear inequality constraint optimization question frame about projection of gradient algorithm, and has performed the numerical experimentation, but its convergence also needs further study.

在第四章中我们提出了线性不等式约束最优化问题的一个投影梯度算法框架，做了数值试验，但其收敛性还有待进一步研究。

It implies that the calculation of movements of mobile cells is not accurate enough, that must affects the mass exchange between the mobile cells and immobile cells. Furthermore, because the value of concentration be calculated is always at center of an element and the finite difference grid is fixed, which may gives rise to numerical dispersion, especially when the steps of space are injudiciously selected.

另一方面，颗粒的位置直接影响到其所含各种成分的质量变化，这将在一定程度上影响最终各种成分的浓度计算精度，而且，该算法最终统计各种成分的浓度时，所用的窗口也是已有的固定的有限差分网格，当网格选择不合适时，有可能产生人工数值弥散。

Influence of simulation parameters on simulation precision of the springback, such as elements type, material types, constitutive equations, integral point selections, contact conditions, friction rules, and like that, has been analyzed.

分析总结了数值模拟中模拟参数（有限无算法、单元类型、材料模型、本构方程、积分点选取、接触和摩擦法则等）对回弹模拟精度的影响。

In the method,thematrix exponential is calculated precisely by using 2N algorithm and the integration offunctional matrix by parts is applied.

首先依据常微分方程的经典理论，运用指数矩阵的2N类精细算法及函数矩阵的分部积分法建立数值求解常微分方程的一般方法。

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