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Jour.al of Comp.tational Mathematics 2002年第1期20卷 35-56页

作者： Lan Chieh huang (ICMSEC, academy of Mathematics and System sciences, chinese academy of sciences, beijing 100080, china) ICMSEC Academy of Mathematics and System Sciences Chinese Academy of Sciences 北京 100080

Focuses on a study on the fully imp.icit Cr.nk Nicholson (CN) schemes and thr.e p.ojection methods for.ap.r.ximate p.eser.ation of comp.nent-consistency under.p.ojection. Tr.nsfor.ation fr.m incomp.essible Navier.Stokes equations to differ.ntial algebr.ic equations CN schemes; Local er.or. of CN p.ojection methods; Numer.cal boundar. conditions.

关键词： differ.ntial algebr.ic equations discr.te p.ojection numer.cal boundar. conditions

GAUSS-SEIDEL-TYp. MULTIGr.D METHODS

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Jour.al of Comp.tational Mathematics 2003年第4期21卷 421-434页

作者： Zhao-hui huang Qian-shun Chang (academy of Mathematics and System sciences, chinese academy of sciences, beijing 100080, china) academy of Mathematics and System sciences Chinese Academy of Sciences 北京 100080

By making use of the Gauss-Seidel-typ. solution method, the p.ocedur. for.comp.ting the inter.0}lation op.r.tor.of multigr.d methods is simp.ified. This leads to a saving of comp.tational time. Thr.e new kinds of inter.0}lation for.ulae ar. obtained by adop.ing differ.nt ap.r.ximate methods, to tr. to enhance the accur.cy of the inter.0}lator. op.r.tor. A theor.tical study p.oves the two-level conver.ence of these Gauss-Seidel-typ. MG methods. A ser.es of numer.cal exp.r.ments is p.esented to evaluate the r.lative p.r.or.ance of the methods with r.sp.ct to the conver.ence factor. Cp.-time(for.one V-cycle and the setup.p.ase) and comp.tational comp.exity.

关键词： Multigr.d methods Gauss-Seidel solution Inter.0}lation for.ula Conver.ence.

Tr.nscendence of Cer.ain Tr.gonometr.c Ser.es

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Acta Mathematica Sinica,English Ser.es 2002年第3期18卷 481-488页

作者： Yao Chen ZHU academy of Mathematics and System sciences. The chinese academy of sciences, beijing 100080. p. r. china academy of Mathematics and System sciences The Chinese Academy of Sciences Beijing P. R. China

In this p.p.r.the tr.nscendence of values of cer.ain tr.gonometr.c ser.es with algebr.ic coefficients and its der.vatives at algebr.ic p.ints is p.oved under.a gener.l condition dep.ndent only on the coefficients. The... 详细信息

关键词： Tr.nscendence Tr.gonometr.c ser.es Linear.indep.ndence Number.field

Synthesis and p.op.r.ies of Double Calix[4]ar.ne Der.vatives Linked by Schiff-base in the Lower.r.m

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chinese Chemical Letter. 1999年第7期10卷 539-542页

作者： Hu Shan YUAN zhi tang huang(Institute of Chemistr. The chinese academy of sciences. beijing 100080) Institute of Chemistr. Chinese Academy of Sciences Beijing 100080 China

25,27-bis-(2-aminoethoxy)-p.ter.-butylcalix[4]ar.ne was linked to double calix[4]ar.ne der.vatives by the Schiff-base moiety in its lower.r.m. They behave str.ng ability to comp.ex with p.2+, Cu2+ and Co2+.

关键词： 25,27-bis-(2-aminoethoxy)-p.ter.-butylcalix ar.nes Schiff-base double calixar.ne

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B_c Meson Studies

高能物理与核物理 2002年第Z1期26卷 1-10页

作者： CHANG Chao-Hsi (Institute of Theor.tical p.ysics, chinese academy of sciences, beijing 100080, china) Inst. of Theor. p.ys. Chinese Acad. of Sci. Beijing 100080 China

Our.studies on the meson Bc ar. br.efly *** decays of the meson Bc to a p.wave char.onium Xc or.hc ar. r.p.r.ed comp.r.tively p.ecisely because they ar. fr.sh

关键词：高能物理核物理增刊张肇西 B_c Meson Studies r.v

Quasi-Homeomor.0}isms and Measur.s of Finite Ener.y Integr.ls of Gener.lized Dir.chlet For.s

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Acta Mathematica Sinica,English Ser.es 2000年第2期16卷 325-336页

作者： Wei Sun Institute of Ap.lied Mathematics,chinese academy of sciences.beijing,100080,p.r.china Institute of Ap.lied Mathematics Chinese Academy of Sciences Beijing 100080 P. R. China

We intr.duce the quasi-homeomor.0}isms of gener.lized Dir.chlet for.s and p.ove that any quasi-r.gular.gener.lized Dir.chlet for. is quasi-homeomor.0}ic to a semi-r.gular.gener.lized Dir.chlet for.. Mor.over. we ap.ly this quasi-homeomor.0}ism method to study the measur.s of finite ener.y integr.ls of gener.lized Dir.chlet for.s. We show that any 1-coexcessive function which is dominated by a function in is associated with a measur. of finite ener.y integr.l. Consequently, we p.ove that a Bor.l set B is-excep.ional if and only if μ(B)=0 for.any measur. μ of finite ener.y integr.l.

关键词： Gener.lized Dir.chlet for. Quasi-homeomor.0}ism Measur. of finite ener.y integr.l

Quantifying the Tension between Cosmological Models and JWST r.d Candidate Massive Galaxies

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r.sear.h in Astr.nomy and Astr.p.ysics 2024年第4期24卷 1-6页

作者： Jun-Chao Wang zhi-Qi huang Lu huang Jianqi Liu School of p.ysics and Astr.nomy Sun Yat-sen UniversityZhuhai 519082China CSST Science Center.for.the Guangdong-Hong Kong-Macao Gr.ater.Bay Ar.a Zhuhai519082China CAS Key Labor.tor. of Theor.tical p.ysics Institute of Theoretical PhysicsChinese Academy of SciencesBeijing 100190China

We develop.a p.thon tool to estimate the tail distr.bution of the number.of dar. matter.halos beyond a mass thr.shold and in a given volume in a *** code is based on the extended p.ess-Schechter.model and is comp.tationally efficient,typ.cally taking a few seconds on a p.r.onal lap.op.for.a given set of cosmological *** high efficiency of the code allows a quick estimation of the tension between cosmological models and the r.d candidate massive galaxies r.leased by the James Webb Sp.ce Telescop.,as well as scanning the theor. sp.ce with the Mar.ov Chain Monte Car.o *** an examp.e ap.lication,we use the tool to study the cosmological imp.ication of the candidate galaxies p.esented in Labbéet *** standar. Λcold dar. matter.ΛCDM)model is well consistent with the data if the star.for.ation efficiency can r.ach~0.3 at high *** a low star.for.ation efficiency ε~0.1,theΛCDM model is disfavor.d at~2σ-3σconfidence level.

关键词： (cosmology:)cosmological p.r.meter. Galaxy:abundances Galaxy:for.ation

p.Ep.r.TION AND p.Op.r.IES OF ETHYL-CYANOETHYL CELLULOSE/p.LYACr.LIC ACID COMp.SITE FILMS WITH r.FLECTION COLOr.

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chinese Jour.al of p.lymer.Science 2001年第3期19卷 277-282页

作者： Yong huang Institute of Chemistr., chinese academy of sciences, beijing 100080 china Labor.tor. of Cellulose and Lignocellulosics Chemistr. Guangzhou Institute of Chemistr. chinese academy of sciences, Guangzhou 510650, china 中科院化学所北京

Ethyl-cyanoethyl cellulose [(E-CE)C]/acr.lic acid (AA) becomes a cholester.c liquid cr.stalline solution withvivid color. when the (E-CE)C concentr.tion is 42 wt%～52 wt%. (E-CE)C/p.lyacr.lic acid (p.A) comp.sites withcholester.c str.ctur. wer. p.ep.r.d by p.lymer.ing AA in (E-CE)C/AA liquid cr.stalline solutions. The layer. of or.er.dp.lymer.chains in the cholester.c p.ase wer. inclined dur.ng p.lymer.zation and the degr.e of the inclination dep.nded onthe p.lymer.zation temp.r.tur. and the concentr.tion of the solution befor. p.lymer.zation. The cholester.c str.ctur. in thecomp.sites could not be changed when temp.r.tur. was lower.than 100℃. Cr.ss-linking of the p.A in comp.sitesimp.oved their.water.r.sistance. The cholester.c or.er.of the comp.sites without cr.ss-linking was destr.yed when theywher. immer.ed in water. The color.der.ved fr.m the selective r.flection of the cholester.c p.ase of the cr.ss-linkedcomp.sites tur.ed fr.m blue to r.d after.the comp.sites absor.ed water. The color.of the comp.sites could be r.tur.ed to theor.ginal one when the absor.ed water.was r.moved fr.m the swollen comp.sites.

关键词： Cholester.c str.ctur. Comp.sites Selective r.flection Liquid cr.stalline solutions

Boundedness of Solutions in Asymmetr.c Oscillations via the Twist Theor.m

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Acta Mathematica Sinica,English Ser.es 2001年第2期17卷 313-318页

作者： Yi Qian WANG Institute of Mathematics. academy of Mathematics and Systems sciences. chinese academy of Science, beijing 100080 p. r. china Institute of Mathematics Academy of Mathematics and Systems Sciences Chinese Academy of Science Beijing 100080 P. R. China

In this p.p.r.we consider.the boundedness of all the solutions for.the equation x'+ax^+ -bx^-=f(t). wher. f(t) is a smooth 2π-p.r.odic function, a and b ar. p.sitive constants (a≠b).

关键词： Boundedness Asymmetr.c Canonical tr.nsfor.ation Twist theor.m

p.ASE STr.CTUr. AND p.Op.r.IES OF Ep.XY r.SIN MODIFIED BY p.LYSILOXANE BEAr.NG p.NDANT AMINO Gr.Up.

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chinese Jour.al of p.lymer.Science 2000年第2期18卷 133-138页

作者： Bing Zhang Xiang-luan Liu Ying huang Center.of Molecular.sciences, Institute of Chemistr., chinese academy of sciences, beijing 100080, china 中科院化学所北京

p.lysiloxane-modified ep.xy r.sins wer. p.ep.r.d thr.ugh the r.action of ep.xy r.sin with p.lydimethylsiloxanes bear.ng p.ndant N-(beta-aminoethyl)-gamma-aminop.op.l gr.up.. The mor.0}ology and p.op.r.ies of the cur.d ep.xy r.sins modified by the p.lysiloxanes wer. investigated. It was found that the p.ase str.ctur. and p.op.r.ies of the cur.d ep.xy r.sins dep.nd mainly on the amino gr.up.content in the p.lydimethylsiloxane and the level of the modifier. The change of p.ase str.ctur. in the cur.d ep.xy r.sin systems was r.sp.nsible for.the dr.matic change in their.mechanical and sur.ace p.op.r.ies.

关键词： p.ase str.ctur. p.lysiloxane ep.xy r.sin mechanical p.op.r.y