A Space-Time Polynomial Collocation Method for Solving 3D Burgers Equations北大核心CSCD

Burgers方程是一类应用广泛的非线性偏微分方程,方程中的非线性项难以处理。该文提出一种新的时空多项式配点法——多项式特解法求解三维Burgers方程。求解过程分为两步:第一步,对三维Burgers方程中的线性导数项(包括时间导数项),求出相应的多项式特解。第二步,将求出的多项式特解作为基函数,对三维Burgers方程中剩余的非线性项进行迭代求解。与时空多项式函数作为基函数对三维Burgers方程进行直接求解相比,该算法简单易行,得到的近似解精度非常高,算法极其稳定,对于教学过程中提高学生的编程能力,加深对高维Burgers方程的理解能力以及Burgers方程的实际应用具有重要意义。     

从射影观点看三角形“五心”定理的变形

本文用射影观点考察三角形的“五心”定理,通过配极变换推出五个新的命题。     

改进的SIFT特征匹配算法

针对SIFT特征匹配算法在特征空间中进行历遍搜索,匹配速度慢的问题,提出一种金字塔层间匹配算法。首先,根据特征点所处金字塔层不同将特征点划分为不同的集合,其次,选择待配准图像金字塔中某一层集合,在基准图像金字塔中寻找相似层,并确定待配准图像金字塔与基准图像金字塔层之间的相似关系,最后,在相似层之间寻找匹配点。待配准图像中的选择层集合由金字塔底层到顶层,寻找相似层所用时间依次缩短。与原算法相比,该算法具有相同的旋转稳定性。将该算法与原算法分别应用实际图像配准中,结果表明:可见光图像配准中,匹配速度提高了3.2倍,正确匹配率提高了10.3％,红外图像配准中,匹配速度提高1.4倍,正确匹配率达到100％。     

美施康定对癌症疼痛的镇痛效果

本组５４例重度癌痛晚期病人,给予口服美施康定３０～９０ｍｇ每１２ｈ一次治疗,有效率达９６３％（５２／５４）,完全缓解率达８７％（４７／５４）,主要副作用为便秘、恶心、呕吐、嗜睡等     

不对称合成中手性磷配体催化剂的研究进展（I）（待续）

评述了作为配体催化剂的手性三配位及四配位磷化合物的合成及其在某些不对称的合反应中的应用。     

基于杂环有机锡化合物的水杨酸根离子选择电极研究

A novel heterocyclic haxacoordinated organotin(Ⅳ) complex, bis (o-vanillin)-semi-ethylenediamine dibenzyltin (VEDBT) was synthesized and used as anion ionophore for PVC membrane electrode; the novel electrode exhibits a linear response towards salicylate and an anti-Hofmeister selectivity pattern with high specificity for salicylate over many common anions, the selective pattern is: Sal^- > SCN^- > ClO₄^- > I^- > NO₂^- > NO₃^- > Cl^- ≈ Br^- > SO₄^2-. The behaviour of the electrode is influenced by the experimental conditions. The response mechanism was also investigated by UV spectroscopy. The electrode was applied to the determination of salicylate in pharmaceutical samples with satisfactory results.     

Three New Anthraquinones from Polygonum cillinerve

Three new anthraquinones, emodin-8-β-D-（2＂-O-coumarate）glucoside 1, emodin-8-β-D-（6＇-O-acetyl）glucoside 2 and physicon-8-β-D-（6＇-O-acetyl）glucoside 3, were isolated from the roots of Polygonum cillinerve and their structures were established by spectroscopic methods. The biological activity indicated that compound 1 had the scavenging activity on 1,1-diphenyl-2-picrylhydrazyl （DPPH） radicals （the IC50 = 8.5 μmol/L）, and compound 1-3 showed no activities against HL-60 and BCJC-823 cells by MTT method in vitro.     

Two New Isobutyltartrate Monoester from Coeloglossum viride （L.） Hartm.var.bracteatum（Willd.） Richter

Two new isobutyltartrate monoesters,coelovirin A (1) and B(2),were isolated from the rhizomes of Coeloglossum viride (L.) Hartm. var. bracteatum (Willd.) Richter (Orchidaceae). Their structures were elucidated as (2R,3S)-2-isobutyltartrate-1-(4-β-D-glucopyranosyloxybenzyl) ester 1 and (2R,3S)-2-isobutyltartrate-4-(4-β-D-glucopranosyloxybenzyl) ester 2 on the basis of physical constants and spectroscopic methods including 2D NMR techniques.     

配糖蛋白B—阳离子丙烯酸树脂微胶囊的性能研究

本文研究了配糖蛋白B-阳离子丙烯酸树脂微胶囊的形态、粒径及粒径分布,并在模拟胃液的酸性缓冲液中进行了微胶囊的溶解释放试验。结果表明该微胶囊能溶于人体的胃液中,可配制适合儿童口服的混悬剂。     

配糖蛋白B肠溶微胶囊的研究

采用双乳液法研制配糖蛋白Ｂ的肠溶微胶囊，考察了微胶囊的形态、粒径及其分布，在摸拟肠液的缓冲液中进行溶解释放试验。配制了两种口服微胶囊混悬制剂，并考察了它的稳定性。