求解对流扩散方程的一类交替分组显式方法

利用第二类Saul’yev非对称格式给出了对流扩散方程的一类交替分组显格式。该方法具有并行本性，并且绝对稳定。数值结果表明，对对流扩散方程给出的AGE算法明显优于Evans和Abdullah所提出的交替分组显格式，因此本方法是一种有效算法。     

二维对流扩散方程的一类交替分组方法

利用第二类Saul′yev型非对称格式给出了二维对流扩散方程的一类交替分组方法,该方法具有并行本性,易于程序实现,并且是绝对稳定的.数值试验结果表明本方法具有较高的求解精度.     

二维对流扩散方程的分步交替分组显式格式

将求解二维对流扩散方程的差分方法，分解成两个一维的情形进行处理，简化了计算。该格式还具有绝对稳定性与并行性质，以及较高的计算精度。     

二维对流扩散方程的格子BGK模拟

用D2Q4模型给出二维对流扩散方程的带修正项的BGK型格子Boltzmann方法.数值模拟与理论结果相吻合.     

基于纯无网格法三维对流扩散方程的并行计算

针对三维对流扩散方程的数值求解,应用修正光滑粒子动力学(corrected smoothed particle hydrodynamics, CSPH-3D)方法,推导出求解三维对流扩散方程的CSPH-3D离散格式,得到涉及3×3矩阵的核函数修正公式.为提高计算效率,采用基于MPI(multi-point interface)粒子搜索的并行计算技术,对有解析解的三维对流扩散方程进行数值求解,分析了数值模拟误差以及粒子数和CPU数对计算效率的影响,并对无解析解的方程进行了数值预测,分析了收敛性.结果表明,本文的CSPH-3D并行算法模拟三维对流扩散方程是高效、可靠的.     

一维对流扩散方程的四阶精度有限差分法

文章基于Ｈｅｒｍｉｔｅ插值多项式的构造思路，推导出了一维含源扩散方程、扩散反应方程和无源项对流扩散方程的高精度紧致差分格式，并在导出三类特殊方程差分格式的基础上，建立了统一的含源项一维对流扩散方程的差分格式。本文方法是精确的，稳定的，且易应用到其它问题中。数值算例证明了所建立差分格式的有效性。     

一维对流扩散方程的四阶精度有限差方法

文章基于Ｈｅｒｍｉｔｅ插值多项式的构造思路，推导出了一维含源扩散方程、扩散反应方程和无湖泊项对流扩散方程的高精度紧致差分格式，并在导出三类特殊主程差分格式的基础上，建立了统一的含源项一维对流扩散方程的差分格式。本文方法是精确的。稳定的，且易应用到其它问题中，数值算例证明了所建立差分格式的有效性。     

1维非定常对流扩散方程的有理型高阶紧致差分格式

针对1维非定常对流扩散方程,首先建立了1种2层有理型高阶紧致差分格式,其局部截断误差为O（h4+τ2）。然后采用 von Neumann 分析方法证明了该格式是无条件稳定的。由于在每个时间层上只涉及到3个网格点,因此可直接采用追赶法求解此差分方程。最后通过3个数值算例验证了方法的精确性和可靠性。数值结果表明:所述格式不仅能够适用于非定常对流扩散问题,而且能够较好地求解非定常纯对流问题或纯扩散问题,并且其计算效果均优于 Crank-Nicolson（C-N）格式和指数型高阶紧致（EHOC）差分格式。     

二维对流扩散方程的AGE方法

将求解二维对流扩散方程的Ｓａｍａｒｓｋｉｉ型差分格式,改造成一个交替分组显式格式,该格式是绝对稳定的,并具有明显的并行性质,最后通过数值试验,将数值结果与解析解用立体图形进行比较,结果表明,本方法具有良好的稳定性和较高的计算精度。     

对流扩散方程的三次样条差分格式

提出了两种新的求解对流扩散方程的三次样条差分格式.首先利用变换将对流扩散方程变为扩散方程,然后分别结合二阶和四阶精度的三次样条公式获得两个无条件稳定的差分格式,其局部截断误差分别为0(t2+h2)和0(t2+h4).数值实验表明,文中方法优于以往的三次样条方法.     

Non-equilibrium coherence dynamics in one-dimensional Bose gases

Low-dimensional systems provide beautiful examples of many-body quantum physics. For one-dimensional (1D) systems, the Luttinger liquid approach provides insight into universal properties. Much is known of the equilibrium state, both in the weakly and strongly interacting regimes. However, it remains a challenge to probe the dynamics by which this equilibrium state is reached. Here we present a direct experimental study of the coherence dynamics in both isolated and coupled degenerate 1D Bose gases. Dynamic splitting is used to create two 1D systems in a phase coherent state. The time evolution of the coherence is revealed through local phase shifts of the subsequently observed interference patterns. Completely isolated 1D Bose gases are observed to exhibit universal sub-exponential coherence decay, in excellent agreement with recent predictions. For two coupled 1D Bose gases, the coherence factor is observed to approach a non-zero equilibrium value, as predicted by a Bogoliubov approach. This coupled-system decay to finite coherence is the matter wave equivalent of phase-locking two lasers by injection. The non-equilibrium dynamics of superfluids has an important role in a wide range of physical systems, such as superconductors, quantum Hall systems, superfluid helium and spin systems. Our experiments studying coherence dynamics show that 1D Bose gases are ideally suited for investigating this class of phenomena.     

A normalized thoracic coordinate system for atlas mapping in 3D CT images

In this paper, a normalized thoracic coordinate system （NTCS） is defined for rapidly mapping the 4D thoracic organ atlas into indi- vidual CT volume images. This coordinate system is defined based on the thoracic skeleton. The coordinate values are normalized by the size of the individual thorax so that this coordinate system is universal to different individuals. For compensating the respiratory motion of the organs, a 4D dynamic torso atlas is introduced. A method for mapping this dynamic atlas into the individual image using the NTCS is also proposed. With this method, the dynamic atlas was mapped into the clinical thoracic CT images and rough positions of the organs were found rapidly. This NTCS-based 4D atlas mapping method may provide a novel way for estimating the thoracic organ positions in low-resolution molecular imaging modalities, as well as in modern 4D medical images.     

A normalized thoracic coordinate system for atlas mapping in 3D CT images

In this paper, a normalized thoracic coordinate system (NTCS) is defined for rapidly mapping the 4D thoracic organ atlas into individual CT volume images. This coordinate system is defined based on the thoracic skeleton. The coordinate values are normalized by the size of the individual thorax so that this coordinate system is universal to di?erent individuals. For compensating the respiratory motion of the organs, a 4D dynamic torso atlas is introduced. A method for mapping this dynamic atlas into the individual image using the NTCS is also proposed. With this method, the dynamic atlas was mapped into the clinical thoracic CT images and rough positions of the organs were found rapidly. This NTCS-based 4D atlas mapping method may provide a novel way for estimating the thoracic organ positions in low-resolution molecular imaging modalities, as well as in modern 4D medical images.     

Development of 3D Female Breast Model Library for Bra Design

As the maturity of female costume concept as well as the social consuming activities, a new and higher requirement is imposed on female underwear design. Human body model is the basic of many applications on 3D garment CAD. This paper delivered a novel approach for modeling a human body which could be driven by related body dimensions to form a female breast model library based on the free form deformatioll technologies. The 3D female breast shape reserve has a strong potential of being used for bra design, bra flttins, virtual try-on and exhibition to meet ＂made-tomeasure＂ demand of the booming bra market in the world.     

De-noising stochastic noise in FOG based on second-generation DB4 wavelet and SURE-threshold

An effective de-noising method for fiber optic gyroscopes (FOGs) is proposed. This method is based on second-generation Daubechies D4 (DB4) wavelet transform (WT) and level-dependent threshold estimator called Stein’s unbiased risk estimator (SURE). The whole approach consists of three critical parts: wavelet decomposition module, parameters estimation module and SURE de-noising module. First, DB4 wavelet is selected as lifting base of the second-generation wavelet in the decomposition module. Second, in the parameters estimation module, maximum likelihood estimation (MLE) is used for stochastic noise parameters estimation. Third, combined with soft threshold de-noising technique, the SURE de-noising module is designed. For comparison, both the traditional universal threshold wavelet and the second-generation Harr wavelet method are also investigated. The experiment results show that the computation cost is 40% less than that of the traditional wavelet method. The standard deviation of de-noised FOG signal is 0.012 and the three noise terms such as angle random walk, bias instability and quantization noise are reduced to 0.007 2° /ℴh, 0.004 1° / h, and 0.008 1°, respectively.     

基于图像分割和孔洞修复的三维伤口测量方法

伤口测量是临床医学研究中一项重要工作。传统的接触式伤口测量方法存在测量结果稳定性差、易造成伤口二次伤害的问题,基于2D图像处理的非接触式伤口测量方法存在精度差、无法获得伤口深度信息的问题。为此,设计了一种基于图像分割和孔洞修复的三维伤口测量方法。采用异源图像对齐算法解决了异源图像由于视差导致的图像像素错位问题;通过基于改进的区域生长法设计了一种交互式伤口区域分割方法,实现伤口区域精准分割。最后,采用基于径向基函数(radial basis function, RBF)的三维点云孔洞修复算法进行伤口皮肤复原,从而得到伤口的最大深度、体积等三维参数。实验结果表明：所提方法的测量误差低于3%,其测量精度以及稳定性皆优于接触式和基于2D图像处理的伤口测量方法,满足临床使用以及医学研究的应用需求。     

二维图形参数化研究

提出了一种二维图形参数化的新方法，该方法在自动提取图形拓扑信息和尺寸参照信息的基础上，建立了基于特征的过程参数模型，并且构造了相应的实例化算法。用这种方法所开发的Ａｕｔｏ－ＰＧＳ软件系统已经在工业生产中得到应用。     

企业生境理论:生态学在组织与环境关系研究中的新进展

回顾了组织与环境关系研究演进的三个阶段,借鉴生态学理论,界定了企业生境的内涵及其因子构成。综合企业是否可反作用于生态因子及因子对企业成长的综合作用方向两个维度,把企业生境划分为九种类型。处于特定生境下的企业不仅需要采取普适型生态对策,还要采取特质型生态对策,以实现持续成长。     

三维参数化曲线插值方法研究

基于通用参数化曲线表示方法，推导出了三维空间曲线的插值算法，并对其影响该算法精度的因素进行了分析．结果表明，该方法不仅具有较高的插值精度，而且通用性强，可适用于平面和空间曲线的参数化插值。     

分布式存储系统中混合数据布局算法

数据布局算法是分布式存储系统的基础性算法,也是提高数据处理效率的关键。针对节点负载和通信延迟等存储节点状态,提出了一种衡量存储节点可用性的通用方法,并在分析了已有算法的基础上,综合各种算法的优点,提出了一种混合数据布局算法。该算法根据存储节点可用性不同而采取不同的数据冗余策略。通过对比分析,证实该算法在存储量与通信量方面具有较大的优越性。