A new proposal for the discretization of the Griffin—Wheeler—Hartree—Fock equations

A polynomial expansion is proposed as a new way to discretize the Griffin-Wheeler-Hartree-Fock equations of the Generator Coordinate Hartree-Fock method. The implementation of the polynomial expansion in the Generator Coordinate Hartree-Fock method discretizes the Griffin-Wheeler-Hartree-Fock equations through a numerical mesh which is not equally spaced. This procedure makes the optimization of Gaussian exponents in the Generator Coordinate Hartree-Fock method more flexible and more efficient. The results obtained with the polynomial expansion for atomic Hartree-Fock energies show this technique is very powerful when employed in the design of compact and high accurate Gaussian basis sets used in ab initio non-relativistic (Hartree-Fock) and relativistic (Dirac-Fock) calculations.     

An efficient algorithm for strongly focused optical beams propagating in Kerr media

Due to the lens-induced quadratic phase factor from converging lens, the beam-propagation method (BPM) is computationally expensive in simulations by the sampling theorem for lens-induced strongly focused beams propagating in nonlinear media. In the paper, we present a modified approach (MA) based on the separate envelope and lens-induced phase to only compute the envelope in the whole focal region. Then we demonstrate the correctness of MA analytically by the propagation of focused Gaussian beam and numerically by that of focused Super-Gaussian beam in linear media. Numerical simulations of strongly focused beams based on MA are in good agreement with those of BPM when propagating in Kerr media. The sampling requirement of MA which is similar with no lens-induced phase beam is lower than that of BPM which increases with the lens-induced chirp parameter and the propagation distance. Thus the computational efficiency can be greatly improved.     

具非局部条件的半线性发展方程的可控性

本文使用Schaefer不动点定理和强连续算子半群理论,建立了抽象空间中具非局部条件的半线性发展方程解的可控性,得到了可控性的充分条件.文末用例子说明了所得结果.     

COMPONENT ALLEE EFFECTS AND STAGE‐SPECIFIC PREDATION: A BRIEF INSIGHT INTO CONSERVATION AND BIOLOGICAL CONTROL ISSUES

In this paper, we propose a two‐stage structured population model subject to component Allee effects in fecundity and maturation, and with two disturbances (predation only and harvest and predation) acting on both stages. It is shown that this combination leads to a demographic Allee effect—a characteristic that could be exploited in pest biological control, but on the other hand, it represents a bane in conservation biology. The analysis is performed for disturbances with functional responses type 2 and 3, and the models show that they yield qualitatively similar results. This characteristic is discussed from the species conservation and biological control point of view, together with possible extensions of this work.     

基于多分辨分析的沪深股市相关性分析

为了有效地揭示沪深股市不同交易周期股票交易的相关性,本文采用极大重叠离散小波变换,将上证指数和深圳成指高频收益率分解在不同的交易周期上,对各个周期的收益率采用semi-GPD模型作为其边缘分布分别进行拟合,在此基础上采用Copula函数方法建立同周期收益率的联合分布,度量了沪深两市同周期交易的相关性.实证表明,不同交易周期所表现出的相关性存在明显差异,并且随着交易期的增长,沪深两市非对称结构逐步明显。     

声呐作用距离随机性的研究及仿真

通过对声呐方程中参数随机性的分析,采用理论推导的方法得出传播损失为球面衰减和平滑平均场时．声呐作用距离的概率密度函数,并求得均值和方差。同时,采用蒙特卡洛方法进行模拟,得出的作用距离概率统计直方图与推导结果吻合较好,证明了推导结果的可信性。     

WKBZ简正波方法的并行实现

声波是人们探测海洋的重要手段，快速准确预报声波在海洋中的传播对人们进一步认识海洋有重大意义。并行算法是解决大数据量运算耗时过久的重要途径，在PC机群上实现并行算法是一种低成本、高效率的解决方案。文章介绍了如何在机群系统上实现WKBZ简正波方法的并行化．对并行算法进行了测试．比较了并行WKBZ简正波计算和传统WKBZ简正波计算耗时的差异。最后．根据理论研究和实际测试的结果．总结了利用PC机群系统进行并行WKBZ运算的可行性，得出了一些有意义的结论。     

高分辨率多光谱数字相机电子学系统的设计

设计了一种基于多光谱技术的机载数字相机电子学系统。它包括时序产生单元、信号处理单元、信号控制单元、数据输出接口单元和数据采集存储单元等几部分。系统具有调光和行频调节功能,用以满足在不同能量状态和不同飞行高度下的成像质量。考虑到机载设备的特殊要求,对其进行了轻量化设计和机载稳定平台设计。它具有实时高速存储和实时采集数据的功能。结果表明,机载数字相机电子学系统的各种功能完全满足设计要求,为实现高分辨率探测提供了保证。     

Fluorocarbon- containing hydrophobically modified poly(N-isopropylacrylamide)

A fluorocarbon-modified poly(N-isopropylacrylamide) has been synthesized by copolymerization of N-isopropyl acrylamide with a small amount of acrylate or methacrylate containing a perfluoroalkyl group. It was found that the hydrophilicity of macromolecular backbone is an important factor to the solution properties of the copolymers and that hydrophobic association between fluorocarbon groups is stronger than that between the corresponding hydrocarbon analogies. The viscosity of some of the copolymer solutions was very sensitive to temperature. It was dilatant at higher fluorocarbon comonomer content ( > 0.20-1.0 mol%) and was Newtonian at very low fluorocarbon comonomer content (0.03-0.2 mol% ) . Evidence for hydrophobic association of the fluorocarbon groups was obtained from the effects of adding Nad and surfactants on the solution viscosity. The LC-ST properties of these copolymers were studied by DSC method and this was also found to be consistent with hydrophobic association between the fluorocarbo