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。     

应用滋养和包埋技术进行籼稻原生质体培养和植株再生

从几个籼稻品种不同发育阶段的幼穗分离出密度平均为２２×１０５个／ｍＬ～４６×１０５个／ｍＬ的原生质体。将这些原生质体包埋在藻酸钠颗粒里并分别在粳稻愈伤组织滋养下培养和没有愈伤组织滋养。在这两种培养条件下原生质体稳定,分裂频率分别达到４８４％和３８８％,群体存活率达到５３％和４７％,愈伤组织绿苗分化率达到７１６％和６２３％。这两种方法优于常用的琼脂糖包埋法和琼脂糖颗粒法。     

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。     

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。     

Two New Xanthone Glycosides from Securidaca inappendiculate

Two new xanthone glycosides, securixanside B and C, were isolated fron the stems of Securidaca inappendiculate. Their structures were determined as 3-O-β-D-glucopyranosyl-1,7-dihydroxyl-2-methoxyxanthone and 6-O-β-D-glucopyranosyl-1-hydroxy-4,7-dimethoxyxanthone by spectroscopic methods.     

Two New Steroidal Glycosides from Fermented Leaves of Agave americana

Two new spirostanol glycosides named agamenoside A and B, ere isolated from the fermented leaves of Agave americana. Their structures were elucidated as (23S,25R)-5α-spirostan-3β,6α，23－triol 3-O-α-L-rhamnopyranosyl-(1→3)-β-D-glucopyranosyl-(1→2)-[β-D-xylopyranosyl-(1→3)]-β-D-glucopyranosyl-(1→4)-β-D-galactopyranoside(1) and (25R)-5α-spiro-stan-3β,6α-diol 3-O-β-D-glucopyranosyl-(1→2)-[β-D-xylopyranosyl-(1→3)]-β-D-glucopyra-nosyl-(1→4)-β-D-galactopyranoside(2) by a combination of chemical and spectral methods.