简介:theAlternatingSegmentCrank-Nicolsonschemeforone-dimensionaldiffusionequationhasbeendevelopedin[1],andtheAlternatingBlockCrank-Nicolsonmethodfortwo-dimensionalproblemin[2].Themethodshavetheadvantagesofparallelcomputing,stabilityandgoodaccuracy.Inthispaperforthetwo-dimensionaldiffusionequation,thenetregionisdividedintobands,aspecialkindofblock.ThismethodiscalledthealternatingBandCrank-Nicolsonmethod.
简介:Thecopper(Ⅱ)complex[Cu3(nta)2(azpy)2(H2O2)]·6H2O(nta=nitrilotriacetate,azpy=4,4′-azobispyridine)hasbeensynthesizedandcharacterized.TheX-rayanalysisrevealsthattherearetwokindsofcopper(Ⅱ)coordinationenvironments.Cu(1)hasadistortedsquareplanesymmetryandCu(2)hasadistortedoctahedralsymmetry.Cu(1)islinkedtoCu(2)throughntaandboundtoCu(1C)byazpy,andCu(2)islinkedtoCu(2A)throughazpy,whichextendstotwo-dimensionalnetworkwithlargerhombus1.2nm×1.7nm.
简介:The2-Dheteronuclearcoordinationpolymer{[Ag4Fe2(SCN)12(H2O)2][(inaH)2(H2O)2]}n(1)(inaHistheabbreviationofprotonatedisonicotinicacid)withchemicalformulaC24H20Ag4Fe2N14O8S12hasbeensynthesizedandcharacterizedbysinglecrystalX-raydiffraction,elementalanalysisandIRspectroscopy.TheAgES2ringsconnecttwokindsofoctahedralgeometriesofFe(Ⅲ)ions,[Fe(NCS)6]^3-and[Fe(H2O)E(NCS)4]^-unitswithbridgingthiocyanateionsleadingto2-D[Ag4Fe2(SCN)12(H2O)2]^2-anionframework.Fourkindsofringsincludingtheunprecedentedthirty-twomemberedAg4Fe4(SCN)8ringssharecomersoredgesinthe2-Danionlayerstructure.AllthiocyanatescoordinatetothemetalionsaccordingtotheHSABprinciplewithNatomsbindingtotheFe(Ⅲ)ionsandwithSatomsbindingtoAg(I)ions.Pronoatedinacationsstabilizethelayerstructureascounterionsandhydrogenbondswereformedwithinthepronoatedinacationsdimerandbetweenthedimersandthelatticewaters.Crystaldata:Mr=1560.44,triclinic,P-↑1,a=0.76082(1)nm,b=0.9234nm,c=1.85611(4)nm,α=103.0170(10)°,β=93.7780(10)°,γ=97.4080(10)°,V=1.25385(3)nm^3,Z=1,μ(MoKα)=2.650mm^-1,Dc=2.067g·cm^-3,F(000)=758,R1=0.0412,wR2=0.1003.
简介:研究了—(p,q)-Laplacian拟线性椭圆方程组.当连续函数V和W在两种情形下,利用Moser迭代技巧和Ljusternik-Schnirelmann畴数理论,建立了方程组正解的存在性和多重性结果.
简介:Thecanonicalandlocatizedmolecutarorbitersof[NCCuS2NoS2]2-clusterwerecalculatedbymeansofCNDOquantumchemistrymethod.Thentheenergyandpropertiesofcorrespondingchemicatbondswerediscussed,especially,Cu-Sb-NothreecenterconjugatedπbondsandNo-St-Noconjugatedπbondswereaccountedfor.
简介:以“闪光二号”加速器硬X射线为辐照源,对腔体内系统电磁脉冲(systemgeneratedelectromagneticpulse,SGEMP)磁场环境的验证方法进行了研究。根据测量的“闪光二号”二极管的电压、电流,模拟了发射电子束能谱参数;结合辐射靶物理设计,建立了二极管阳极靶蒙特卡罗粒子输运计算模型,模拟了轫致辐射X射线场参数;采用时域有限差分(finitedifferencetimedomainmethod,FDTD)和粒子模拟(particleincell,PIC)方法,模拟了该射线环境中的腔体SGEMP磁场环境;将轫致辐射X射线参数及腔体SGEMP磁场环境的模拟结果与实验结果进行了比较。结果表明:从X射线源参数模拟开始的腔体内SGEMP数值模拟计算模型的实验验证方法是合理可行的。
简介:Inthispaperwestudytheexistenceoflimitcycleforcubicsystem(E)3,ofKolmogorovtypewithaconicalgebraictrajectoryF2(x,y)=ax2+2bxy+cy2+dx+ey+f=0Ithasbeenprovedinmyformerpapersthat(E)3doesn’thaveanylimitcycleonthewholeplaneIfb2-ac≠0,Nowweareinvestigatingthecasewhereb2-ac=0.Weprovethesufficientandnecessaryformula(2)or(13)witbwhich(E)3musthaveaparabolictrajectoryF2(x,y)=0.Thentherewillnotbeanylimitcycleonthefullplane.Onthebasisofthis,weconclude:ThecubicsystemofKolmogorovtypewithanon-degeneratedquadraticalgebraictrajectoryonthewholeplanehasnolimitcycle.
简介:本文中,我们研究一类由极大Bochner—Riesz算子和Lipschtz函数A生成的多线性算子,获得了它的(Lp,上q)型,而且我们还将证明此算子从Lebesgue空间到Lipschtz空间、从Herz空间到Campanato空间和从Lp空间到Tribel—Lizorkin空间的有界性.
简介:Recently,Cristofaro-GardinerandHutchingsprovedthatthereexistatleasttwoclosedcharacteristicsoneverycompactstar-shapedhypersufaceinR~4.ThenGinzburg,Hein,Hryniewicz,andMacarinigavethisresultasecondproof.Inthispaper,wegiveitathirdproofbyusingindexiterationtheory,resonanceidentitiesofclosedcharacteristicsandaremarkabletheoremofGinzburgetal.