Numerical simulation of a class of fractional subdiffusion equations via the alternating direction implicit method

In this article, a new numerical technique is proposed for solving the two‐dimensional time fractional subdiffusion equation with nonhomogeneous terms. After a transformation of the original problem, standard central difference approximation is used for the spatial discretization. For the time step, a new fractional alternating direction implicit (FADI) scheme based on the L₁ approximation is considered. This FADI scheme is constructed by adding a small term, so it is different from standard FADI methods. The solvability, unconditional stability and H¹ norm convergence are proved. Finally, numerical examples show the effectiveness and accuracy of our proposed method. © 2015 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 32: 531–547, 2016     

小波变换用于电位滴定法测定极弱酸

研究了用小波变换确定电位滴定终点方法测定硼酸和苯酚两种极弱酸,同经典方法及其它数学方法的结果进行比较,说明用小波变换电位滴定法测定极弱酸快速,准确,可为极弱酸的计算机联机测定提供一种新的途径。     

非交换除环上的二次方程

本文讨论了非交换除环Ｄ上的特殊二次方程（ｘ－β）（ｘ－α）＝０的右零点分布问题，并且由此而得到了一种求解四元数环Ｒ（ｉ，ｊ，ｋ）上的二次方程ｘ^２＋ａｘ＋ｂ＝０的新方法。     

Chiral Carbon Nanorings: Synthesis,Properties and Hierarchical Self-assembly of Chiral Ternary Complexes Featuring a Narcissistic Chiral Self-Recognition for Chiral Amines

We report the synthesis and chiroptical properties of novel chiral carbon nanorings S p-/Rp-[12]PCPP containing a planar chiral [2.2]PCP unit, and demonstrate that S p-/Rp-[12]PCPP can not only host crown ether 18-Crown-6 to form ring-in-ring complexes with a binding constant 3.35×10³ M⁻¹, but also accommodate the complexes of 18-Crown-6 and S/R-protonated amines to form homochiral S @Sp -/ R @Rp - and heterochiral S @Rp -/ R @Sp - ternary complexes, displaying significantly larger binding constants of up to 3.31×10⁵ M⁻¹ depending on the chiral guests. Importantly, homochiral S @Sp -/ R @Rp - ternary complexes exhibit an enhanced CD signal, while the heterochiral S @Rp -/ R @Sp - ones have a constant CD signal compared with the chiral carbon nanorings, respectively, which suggests that homochiral S @Sp -/ R @Rp - ternary complexes display a highly narcissistic chiral self-recognition for S/R-protonated chiral amines, respectively. Finally, the chiral ternary complexes can be further applied to determine the ee values of chiral guests. The findings highlight a new application of carbon nanorings in supramolecular sensors, beyond the common recognition of π-conjugated molecules.     

校正变换矩阵法及其在多组分直接同时测定中的应用

将目标变换因子分析中自由浮动技术引入多元校准中，提出了一种新的多组分同时校准法———校正变换矩阵法。该法用于四组分氨基酸人工混合样品分析，结果令人满意，通过与传统目标变换因子分析法比较研究，表明该法用于组分光谱严重共线的波长范围时，其校准能力大大优于传统目标变换法。     

校正变换矩阵法及其在五种芳香化合物同时测定中的应用

将目标变换因子分析中的自由浮动思想引入多元校正中,提出了一种新的多组分同时校正法——校正变换矩阵法。将该法应用于紫外分光光度法同时测定五种芳香族化合物,结果令人满意。与目标因子分析法和卡尔曼滤波法比较,本法具有更好的校正准确度。     

Thermal design and simulation of space-borne membrane antenna

Thermal deformation of space-borne radar antenna caused by dramatic changes in orbit thermal environment has a serious effect on image qualities. In this paper, the NX TMG module was used to simulate the orbit thermal environment of the antenna, and a thermal control design was proposed. The thermal control structure consists of three layers; the top is a radiator with high emissivity surface, the middle is a multi-layer insulation, and the bottom is a highly reflective layer. The simulation results show that the thermal design could reduce the temperature gradient from 238.1 to 31.4 °C effectively.