基于深腾1800机群系统的分子动力学并行仿真研究

介绍了分子动力学并行仿真计算的软硬件环境,分析了现有的几种并行算法,确定采用区域分解法作为并行算法,并在此基础上提出了基于区域二次划分的分子动力学并行仿真算法.另外,阐述了原子链、原子近邻表和原子亲属表的概念,提出了基于永久序号的消息传递策略.最后,设计了分子动力学并行仿真程序,并分别在1、2、3、4台结点机上进行了实验,运行结果表明:加速比随着结点数的增加而增加,并行效率虽略有下降但都在87.5%以上,并行效率并没有随着结点数的增加有明显的降低,说明并行程序具有很好的扩展性.     

纳米Ag（Ⅰ，Ⅲ）O粉体化学沉淀法制备条件的正交试验及其光学热分解性能研究

本文首先利用正交试验确定了液相沉淀法合成纳米AgO粉体的最佳制备条件。接着研究了最佳条件下制备的纳米AgO粉体的性能。UV—vis DRS分析结果表明，反射率随着AgO含量的增加而降低，高纯度AgO在400nm-1100nm波长范围内具有较强的吸收能力。TG—DTG分析结果表明，在N2气氛下，AgO热分解为Ag2O。的温度范围为100℃—200℃，Ag2O热分解为Ag的温度范围为400℃-450℃。     

热传导方程的一类区域分解差分算法

把求解区域分成若干个子域,在不同子域中采用不同的计算步长,对方程的紧差分格式在特殊情形下采用区域分解法,并给出相应的先验误差估计式。     

基于MATLAB的Cholesky分解法解线性方程组

本文首先介绍什么是Cholesky分解及分解注意的事项,然后对Cholesky分解算法进行描述,重点介绍如何用Cholesky分解法及改进的平方根法解线性方程组Ax=b,对两种算法进行了比较,针对实例分别用MATLAB程序实现,最后进行总结并对此课题未来研究作出展望。     

二次型在超曲面上条件极值的矩阵解法

利用矩阵理论得到了二次型在一般的二次超曲面上取得条件极值的充分条件，并结合实例用Matlab编程实现了求解过程．     

混合正交双向小波包的研究

混合正交双向小波包基是一种包含多个正交双向小波函数的小波包基.本文将正交双向小波包推广到混合正交双向小波包,研究了混合正交双向小波包的性质及其分解算法.     

Satellite Image Adaptive Restoration Using Periodic Plus Smooth Image Decomposition and Complex Wavelet Packet Transforms

A satellite image adaptive restoration method was developed that avoids ringing artifacts at the image boundary and retains oriented features. The method combines periodic plus smooth image decomposition with complex wavelet packet transforms. The framework first decomposes a degraded satellite image into the sum of a "periodic component" and a "smooth component". The Bayesian method is then used to estimate the modulation transfer function degradation parameters and the noise. The periodic component is deconvoluted using complex wavelet packet transforms with the deconvolution result of the periodic component then combined with the smooth component to get the final recovered result. Tests show that this strategy effectively avoids ringing artifacts while preserving local image details (especially directional textures) without amplifying the noise. Quantitative comparisons illustrate that the results are comparable with previous methods. Another benefit is that this approach can process large satellite images with parallel processing, which is important for practical use.     

Dynamic domain decomposition method and its application on nonlinear problem

In this paper,domain decomposition method(DDM) for numerical solutions of mathematical physics equations is improved into dynamic domain decomposition method(DDDM) . The main feature of the DDDM is that the number,shape and volume of the sub-domains are all flexibly changeable during the iterations,so it suits well to be implemented on a reconfigurable parallel computing system. Convergence analysis of the DDDM is given,while an application approach to a weak nonlinear elliptic boundary value problem and a ...