成组Broyden修正矩阵的紧凑形式与成组记忆修正算法

1 引言 成组型线性方程组 其中,p是适中的数值,由于其有相当的实际应用背景,人们一直在研究有效的数值方法,特别是近年来,实际问题中归结出来的成组型方程组,其规模越来越大,又具有稀疏结构,因而使用迭代法是一种有效的途径,目前使用比较多的是Krylov子空间方法中的Lanczos方法,CG方法,GMRES方法等等。这种成组型算法的建立,其基本出发点是使算法具有较少的计算量和存储量,具体体现在: 1)成组型算法在应用于问题(1.1)的求解时,也具有有限终止性性质,而其终止步数一般要比单个型算法的步数减少了户倍,由于成组型算法每迭代一步的计算量基本上等同于单个型算法使用户次的计算量,如此,算法的计算量会有明显的改善。 2)当A存储在二级(secondary)内存时,在迭代计算时需要不断地进行存取交换,由于成组型算法的迭代步数减少了户倍,如此,用在这种交换的时间也要减少户倍,相当有效。 3)由于在成组型算法中,出现的多是AX的形式,其中,故成组型算法便于计算并行化。 4)即使用于求解单个方程组,当A的少数几个极端特征值分离甚远时,这种成组型算法也有可能改善其收敛速度,如成组型的CG方法。 目前,这种成组型算法已体现出很大的实用计算价值,然而其进一步的理论分析还有待深入研究。     

The hp‐version of the BEM with quasi‐uniform meshes for a three‐dimensional crack problem: The case of a smooth crack having smooth boundary curve

The article considers a three‐dimensional crack problem in linear elasticity with Dirichlet boundary conditions. The crack in this model problem is assumed to be a smooth open surface with smooth boundary curve. The hp‐version of the boundary element method with weakly singular operator is applied to approximate the unknown jump of the traction which is not L₂‐regular due to strong edge singularities. Assuming quasi‐uniform meshes and uniform distributions of polynomial degrees, we prove an a priori error estimate in the energy norm. The estimate gives an upper bound for the error in terms of the mesh size h and the polynomial degree p. It is optimal in h for any given data and quasi‐optimal in p for sufficiently smooth data. © 2007 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2008     

Triangle anomaly free weak interaction with two neutral currents

Considering that the neutral interaction is free of triangle anomalies we derive an expression for the most general neutral interaction with two neutral currents. We show that the Bargers version is a special case. We also determine the interaction wheneverZ, D are mass eigen states and show that this differs from the Barger’s version in an essential way.     

A version of Sharkovskii's theorem for differential equations

We present a version of the Sharkovskii cycle coexistence theorem for differential equations. Our earlier applicable version is extended here to hold with the exception of at most two orbits. This result, which (because of counter-examples) cannot be improved, is then applied to ordinary differential equations and inclusions. In particular, if a time-periodic differential equation has -periodic solutions with , for all , then infinitely many subharmonics coexist.

     

基于压缩感知的激光干扰图像尺度分析

利用激光干扰CCD成像侦察系统可以使其降低或失去侦察能力,客观、准确、定量地评估干扰的效果是干扰技术研究的重要环节。本文以现有的背景杂波量化尺度为基础,结合激光干扰图像对CCD成像系统目标检测性能的影响,提出了基于压缩感知的图像尺度,并将该尺度运用于基于机器视觉的激光干扰CCD效果评估。激光视场内干扰实验及数值计算表明:该方法能够利用压缩感知理论的特点,较好地实现了对激光干扰CCD成像检测系统效果的定量评估,从而验证了该尺度的有效性。     

2017年版有机化合物命名原则在链状烃类母体氢化物教学中的应用

以链状烃类母体氢化物为例,从主链的选取、编号,取代基的表达与排序,化合物名称的书写等几个方面,对比分析了新旧命名原则的异同。以帮助大学有机化学授课教师和学生温故知新,尽快理清思路,有的放矢地开展有机物2017年版命名原则的教和学。     

环流问题与双小孔型脉冲管制冷机研究

１前言脉冲管制冷机已基本达到了实用化的程度。但在理论方面,仍有较多问题存在,其中双向进气型脉冲管制冷机内的环流问题成为一个讨论的热点和难点。１９９１年朱绍伟进行双向进气方案的实验验证时［１］,已经提到了环流问题,即进出双向阀门的流量不等造成的冷端温度...     

Superconvergence of the - version of the finite element method in one dimension

In this paper, we investigate the superconvergence properties of the h-p version of the finite element method (FEM) for two-point boundary value problems. A postprocessing technique for the h-p finite element approximation is analyzed. The analysis shows that the postprocess improves the order of convergence. Furthermore, we obtain asymptotically exact a posteriori error estimators based on the postprocessing results. Numerical examples are included to illustrate the theoretical analysis.     

基于持续集成的软件度量

软件度量是针对软件开发项目、过程及产品进行数据定义、收集和分析的持续度量化过程;持续集成工具上的的构建工程每天自动完成从版本库更新代码、静态检查、编译、出包、自动化用例测试等任务,在进行集成构建的过程中可以为软件度量提供多种相关的度量数据;结合工作实践,叙述了基于持续集成的软件度量的原理;软件度量管理涉及到的角色;软件度量实现过程;叙述了基于持续集成的两种类型的软件度量指标的定义以及提取方法;最后详细叙述了在软件度量过程中遇到的几个典型案例;工作实践表明在软件的开发过程中做好软件度量工作有助于软件开发部门控制、预测、和改进软件产品的质量与软件开发过程;从而提高软件质量和软件开发效率,降低软件开发成本。