对流扩散问题的交替方向差分-流线扩散格式

1.引 言 差分-流线扩散法（Finite Difference-Streamline Diffusion Method,简称FDSD方法）于1998年由文[1]提出并对线性对流占优扩散问题给出分析,随后文[2],[3]就非线性问题的FDSD格式及FDSD预测-校正格式,分别作出了分析,文[4]讨论了FDSD方法的后验估计及自适应技术,[5],[6]则分别讨论了FDSD方法的某些重要应用.与基于时-空有限元的传统流线扩散法相比,FDSD方法的计算工作量已有成数量级的减少,且较易于推广到非线性问题,然而,对于高维问题,在每一时间层,仍然需要求解一大型线性或非线性方程组,工作量仍然很大.参照J.Douglas与T.Dupont关于抛物问题交替方向     

A Construction of Characteristic Tilting Modules

Associated with each finite directed quiver Q is a quasi-hereditary algebra, the so-called twisted double of the path algebra kQ. Characteristic tilting modules over this class of quasi-hereditary algebras are constructed. Their endomorphism algebras are explicitly described. It turns out that this class of quasi-hereditary algebras is closed under taking the Ringel dual. Received November 15, 2000, Accepted March 5, 2001     

概周期系数二维线性方程组特征数的估计

常系数线性系(yx)'=(cdab)(yx)具有指数型二分性(特征根一正一负)的充要条件是ad-bc<0.本文说明概周期线性系(yx)'=(a(t)d(t)a(t)b(t))(yx)当a(t)d(t)-b(t)c(t)<0时,一般也有指数型二分性.同时给出特征数较准确的估计.     

Integral and asymptotic representations of geo-stable densities

The fact that geo-stable distributions do not have an explicit representation causes severe difficulties in empirical work. Here, we provide representations for geometric-stable probability densities in terms of fast converging integrals.     

Characteristic functions and joint invariant subspaces

Let T:=[T₁,…,Tn] be an n-tuple of operators on a Hilbert space such that T is a completely non-coisometric row contraction. We establish the existence of a “one-to-one” correspondence between the joint invariant subspaces under T₁,…,Tn, and the regular factorizations of the characteristic function ΘT associated with T. In particular, we prove that there is a non-trivial joint invariant subspace under the operators T₁,…,Tn, if and only if there is a non-trivial regular factorization of ΘT. We also provide a functional model for the joint invariant subspaces in terms of the regular factorizations of the characteristic function, and prove the existence of joint invariant subspaces for certain classes of n-tuples of operators.We obtain criteria for joint similarity of n-tuples of operators to Cuntz row isometries. In particular, we prove that a completely non-coisometric row contraction T is jointly similar to a Cuntz row isometry if and only if the characteristic function of T is an invertible multi-analytic operator.     

The characteristic X-ray spectra of free atoms of metals

The article presents the results of a study of characteristic X-ray spectra of free atoms by means of a new simple technique. A pulsed electron beam was used for evaporation and to create inner-shell vacancies in free atoms of metals. The spectra were obtained with the help of an X-ray monochromator which allowed precise comparison between the free-atoms spectra and corresponding solid-state spectra. The shifts of the peaks were measured and found to be in the range Δλ/λ≈10⁻⁵–10⁻⁴. The K-, L- and M-series spectra were studied. A number of the free-atoms spectra revealed structure which was not resolved in the solid-state spectra and which is of interest for atomic structure calculation applications. This electron beam technique for the investigation of X-ray characteristic spectra of free atoms can be used for the refinement of X-ray wavelength standards.     

N,N’-邻硝基苯酰基取代苯酰氨基硫脲类化合物的特征红外光谱

研究了N,N’-邻硝基苯酰基取代苯酰氨基硫脲类化合物的芳环、碳硫双键和酰胺等的特征红外光谱,讨论了它们随化学结构而变化的一些规律,特别详细讨论了不同取代基对远程基团特征光谱的影响。结果表明距离取代基直至第五个基团的特征谱带仍然受到影响,并且供电子基所处位置对远程基团特征光谱影响较少,而吸电子基所处的位置影响较大。这对该类化合物和远程光谱的研究是很有启发意义的。     

水污染问题特征有限元方法的数值计算及理论分析

本文研究了水污染二维对流占优数学模型特征有限元方法的计算问题，导出的计算格式对时间变量用特征线方法离散，对空间变量用Galerkin有限元方法离散，得到的H^1－模和L^2－模误差估计是最优阶的。     

翡翠B货的拉曼光谱鉴别

与传统宝石鉴定相比 ,拉曼光谱在漂白或注胶翡翠 (B货翡翠 )的鉴别中是一种快速、无损、微区分析方法 ,特别对于宝石中的包体和填充物尤其有效[1 ] 。翡翠中经常充填各种油、蜡、胶 (如石蜡、石蜡油、AB胶、环氧树脂等 )来增强其透明度[2 ] ,由于它们化学成分、化学结构的不同 ,在拉曼光谱中显示不同的峰位特征。环氧树脂的特征峰主要属于苯环的 :1 60 9和 1 1 1 6cm- 1 两个C—C伸缩振动 ,3 0 69cm- 1 C—H的伸缩振动以及 1 1 89cm- 1 C—H的面内弯曲振动 ,而用于翡翠抛光处理的石蜡不具有苯环的特征峰 ,据此可作为鉴别B货翡翠的依据。     

高分子树脂合成技术特色实验教学改革初探

实验教学在高分子材料科学中占据着十分重要的地位。为进一步突出实验教学内容的专业特色、强化学生专业技能、提升学生的创新与科研能力,在原有综合实验教学体系的基础上,以耐烧蚀性酚醛树脂的研究为典型,为高分子方向的四年级本科生增设了一门更具专业特点的高分子树脂合成技术特色实验,进而实现人才培养的目标。