含氟聚酰亚胺1,3-BPA-6FDA-DR1的合成及其热光性能

用1,3-双(3-氨基苯氧基)苯(1,3-BPA)、4,4′-(六氟异丙基)-苯二酸酐(6FDA)和分散红1(DR1)合成了含氟聚酰亚胺,采用示差扫描量热(DSC)、热失重分析(TGA)和紫外、红外吸收光谱等测试技术对该聚酰亚胺的热稳定性和结构进行了表征。结果显示,该聚酰亚胺的玻璃化转变温度(Tg)和在5%的质量损失温度分别为238和287℃,表明具有较好的热稳定性。不同浓度的材料在自然光下的热光系数(dn/dT)值为(-2.31～-3.04)×10-4/℃,体积热膨胀系数变化率(dβ/dT)为(2.56～4.32)×10-7/℃;一定浓度的材料在436nm单波长光照射下的热光系数(dn/dT)值为-3.08×10-4/℃,体热膨胀系数变化率(dβ/dT)为4.72×10-7/℃,表明该聚合物在低驱动功率的新型数字热光开关、光通信器件等领域具有潜在的应用前景。     

Cascadic Multigrid for Finite Volume Methods for Elliptic Problems

In this paper, some effective cascadic multigrid methods are proposed for solving the large scale symmetric or nonsymmetric algebraic systems arising from the finite volume methods for second order elliptic problems. It is shown that these algorithms are optimal in both accuracy and computational complexity. Numerical experiments are reported to support our theory.     

摄动有限体积法重构近似高精度的意义

研讨有限体积(FV)方法重构近似高精度的作用问题.FV方法中积分近似采用中点规则为二阶精度时,重构近似高精度(精度高于二阶)的意义和作用是一个有争议的问题.利用数值摄动技术[1,2]构造了标量输运方程的积分近似为二阶精度、重构近似为任意阶精度的迎风型和中心型摄动有限体积(PFV)格式.迎风PFV格式无条件满足对流有界准则(CBC),中心型PFV格式为正型格式,两者均不会产生数值振荡解.利用PFV格式求解模型方程的数值结果表明:与一阶迎风和二阶中心格式相比,PFV格式精度高、对解的间断分辨率高、稳定性好、雷诺数的适用范围大,数值地"证实"重构近似高精度和PFV格式的实际意义和好处.     

甘氨酸、L-丙氨酸和L-丝氨酸在尿素水溶液中的体积性质

蛋白质的折叠与解折叠、稳定性、变性行为和酶的活性等都受到环境中其它各种物质影响.作为蛋白质模型分子,氨基酸在混合溶液中的热力学研究近年来引起了广泛重视.尿素在生物体系中的独特地位主要表现在:它是水结构的破坏者,同时又是许多球状蛋白的变性剂.然而,尿素对球状蛋白的变性作用尚未达成共识.     

多重网格法在非结构网格中的应用

将多重网格法运用于非结构网格.网格是通过聚合法得到的,网格之间是相互关联的.方程的求解采用Jamson的有限体积法.给出了二维、三维情况的数值算例.     

Stabilization of Enzyme by Exclusive Volume Effect in Hydrophobically Controlled Polymer Microcapsules

Summary: This communication describes an enzyme stabilization method that allows the use of enzymes irrespective of environmental factors, especially heat, while maintaining their activity for a long time. We have designed enzyme microcapsules that consist of papain enzyme cores, poly(propylene glycol) interlayers, and poly(ε‐caprolactone) walls. By confocal laser scanning microscopy measurements and the thermal stability of papain‐loaded microcapsules, it is demonstrated that the papain is surrounded by a hydrophobic polyol layer and stabilized by the exclusive volume effect. In our study, improved thermal stability can be obtained by using more hydrophobic long‐chained polyols, which is understood to be attributed to the effective formation of a hydrophobic polyol layer between the papain and the polymer wall by means of conformational anchoring in the interface.

(A) A CLSM image of a PCL microcapsule containing FITC‐labeled papain and RBITC‐labeled PPG at the same time. (B) A scheme of the role of hydrophobic polyols in the interface of enzyme and polymer.     

Inequalities for a Simplex and an Interior Point

We establish some inequalities for the inradius, circumradius and distances between an interior point and facets of an n-simplex, and prove a recursion inequality for the radii of the circumscribed spheres of an n-simplex and its facets.     

一种半隐式有限体积—有限元方法的收敛性

本文研究非线性对流扩散问题的一种半隐式有限体积和有限元方法相结合的数值方法,给出数值解的收敛性及其证明。     

Ricci曲率平行的一类Riemann流形的C~∞紧性(英文)

本文证明,在Ｇｒｏｍｏｖ－Ｈａｕｓｄｏｒｆｆ拓扑下,Ｒｉｃｃｉ曲率平行,截面曲率和单一半径有下界,体积有上界的Ｒｉｅｍａｎｎ流形的集合是ｃ∞紧的．作为应用,我们证明一个ｐｉｎｃｈｉｎｇ结果,即在某些条件下,Ｒｕｃｃｉ平坦的流形必定平坦．     

加权ENO格式的构造及数值模拟

将加权ENO格式推广到非结构三角形网格上,构造了一类加权ENO有限体积格式,提出的插值多项式的构造方式,可以减少计算时间.对于出现的病态方程组,给出了解决方法.此外还给出了插值点的选取方式及加权因子的构造方法.结合三阶TVD Runge Kutta时间离散,对二维欧拉方程组进行了数值试验.