圆外区域求解Helmholtz方程

1引言许多科学和工程计算问题都可以归结为无界区域上的偏微分方程边值问题．而求解椭圆方程边值问题的常用技术是有限元方法,可是对于无界区域,在用有限元方法求解时,往往遇到困难．最简单的办法显然是直接略去区域的无界部分求解,但这样做或者导致过低的计算精度,或者要付出很高的计算代价．边界归化,即将求解偏微分方程边值问题转化为边界积分方程,是求解某些无界区域问题的强有力的手段．自70年代以来,有限元和     

无界区域抛物方程自然边界元方法

本文应用自然边界元方法求解无界区域抛物型初边值问题。首先将控制方程对时间进行离散化,得到关于时间步长离散化的椭圆型问题。通过Fourier展开,导出相应问题的自然积分方程和Poisson积分公式。研究了自然积分算子的性质,并讨论了自然积分方程的数值解法,最后给出数值例子。从而解决了抛物型问题的自然边界归化和自然边界元方法。     

中国南海海绵化学成份研究Ⅱ—B·C

从中国南海西沙群岛永胜岛附近海域采集到的一种海绵(种属未定)分离到两种新的三羟基长链酰胺类化合物S—Ⅱ(C_(49)H_(99)NO_4,M=765,m.p.138-140℃)和S—Ⅲ(C_(45)H_(93)NO_4,M=723,m.p.92—93℃),通过对它们的IR,MS,~1HNMR,~(13)CNMR及~(13)CNMR DEPT等波谱数据分析,S—Ⅱ和S—Ⅲ的结构分别确定为N-(1-乙基-3,22-二羟基)二十二烷基-2-甲基-4-羟基二十四脂肪酸酰胺和N-(1-羟甲基-2-乙基-4-甲基-3,18-二羟基)十九烷基—二十三脂肪酸酰胺。     

FBE复合覆盖层天然气管道外防腐施工实践

简述了天然气集输设施腐蚀的危害。结合工程实践。介绍了FBE复合覆盖层天然气管道外防腐施工方法及施工工艺，从防腐材料的选择、施工环境温度的控制、涂料的配制等方面对施工技术措施及质量控制要点进行了重点阐述。     

Manganese(II) complexes with diethylamine in aqueous solutions

Interaction between MnCl₂ and diethylamine (DEA) in aqueous solutions has been studied by UV, IR, and EPR spectroscopy as part of the design and research program on models of natural photosystems. The composition of the precipitate for comparable concentrations of reagents and solute oxygen has been investigated. Mn(II) was found to be oxidized with oxygen to give MnO₂·H₂O as a precipitate. In the solution over the precipitate, Mn(III) complexes with DEA are formed; the complex molecule has four and six amine molecules in the coordination sphere.     

服装定价的特殊性与双价值模型

通过对服装价格影响因子及服装价格决策特殊性的分析，建立以认知价值和使用价值为基础，以品牌、质量和季节转换等因子为权重调节系数的服装双价值模型。     

Natural Operators Lifting Vector Fields to Bundles of Weil Contact Elements

Let A be a Weil algebra. The bijection between all natural operators lifting vector fields from m-manifolds to the bundle functor K ^A of Weil contact elements and the subalgebra of fixed elements SA of the Weil algebra A is determined and the bijection between all natural affinors on K ^A and SA is deduced. Furthermore, the rigidity of the functor K ^A is proved. Requisite results about the structure of SA are obtained by a purely algebraic approach, namely the existence of nontrivial SA is discussed.     

环保材料在包装设计中的应用

论述了包装设计中导致的环境污染问题,分析了自然材料所具有的优越性,探讨了自然材料在包装中的设计体现。     

A fourth‐order compact finite difference scheme for the steady stream function–vorticity formulation of the Navier–Stokes/Boussinesq equations

A fourth‐order compact finite difference scheme on the nine‐point 2D stencil is formulated for solving the steady‐state Navier–Stokes/Boussinesq equations for two‐dimensional, incompressible fluid flow and heat transfer using the stream function–vorticity formulation. The main feature of the new fourth‐order compact scheme is that it allows point‐successive overrelaxation (SOR) or point‐successive underrelaxation iteration for all Rayleigh numbers Ra of physical interest and all Prandtl numbers Pr attempted. Numerical solutions are obtained for the model problem of natural convection in a square cavity with benchmark solutions and compared with some of the accurate results available in the literature. Copyright © 2003 John Wiley & Sons, Ltd.