简介:TherecurrencealgorithmisgivenforthecalculationofNUAHB-splinesinthespaceSn+1=span{sinht,cosht,tn-3,...,t2.t,1}(n≥3).ThecaseofNUAHB-splinebasesofloworderwithmultipleknotsequencesisstudied.ThelimitingcasesofUAHB-splinesarerecoveredwhenshapeparametersa's→0+and+∞.ThenthecorrespondingNUAHB-splinecurveisdefinedanditsmainpropertiessuchasshape-preservingpropertiesareinvestigated.
简介:Non-uniformalgebraic-trigonometricB-splinessharesmostofthepropertiesasthoseoftheusualpolynomialB-splines.Buttheyarenotorthogonal.Weconstructanorthogonalbasisforthen-order(n≥3)algebraic-trigonometricsplinespaceinordertoresolvethetheoreticalproblemthatthereisnotanexplicitorthogonalbasisinthespacebynow.MotivatedbytheLegendrepolynomials,wepresentanovelapproachtodefineasetofauxiliaryfunctions,whichhavesimpleandexplicitexpressions.Thentheproposedorthogonalsplinesaregivenasthederivativesoftheseauxiliaryfunctions.
简介:Thispaperpresentsasimpleapproachforimprovingtheperformanceoftheweightedessentiallynonoscillatory(WENO)finitevolumeschemeonnon-uniformgrids.ThistechniquereliesonthereformulationofthefifthorderWENO-JS(WENOschemepresentedbyJiangandShuinJ.Comput.Phys.126:202–228,1995)schemedesignedonuniformgridsintermsofonecell-averagedvalueanditsleftand/orrightinterfacialvaluesofthedependentvariable.Theeffectofgridnon-uniformityistakenintoconsiderationbyaproperinterpolationoftheinterfacialvalues.Onnonuniformgrids,theproposedschemeismuchmoreaccuratethantheoriginalWENO-JSscheme,whichwasdesignedforuniformgrids.Whenthegridisuniform,theresultingschemereducestotheoriginalWENO-JSscheme.Inthemeantime,theproposedschemeiscomputationallymuchmoreefficientthanthefifth-orderWENOschemedesignedspecificallyforthenon-uniformgrids.Anumberofnumericaltestcasesaresimulatedtoverifytheperformanceofthepresentscheme.
简介:这份报纸处理一个模式III界面的裂缝题目到反飞机应力和在里面飞机电场。分析专注于从不一致的ferroelectric-ferroelastic领域由一个电场切换调节破裂坚韧。电的装载改变不对称的切换地区的尺寸。采用重量功能方法,我们获得韧化为的电子上依赖的开关静止并且变得界面的伪静电干扰分别地裂开。多域答案为杆得非、杆得充分的铁电体composites被导出。数字结果在批评应用压力紧张因素调节的电场上被介绍。研究提供方法由改变电场优化铁电体composites的破裂性质。
简介:有不同的片插头角度的离心的扇子的流动特征基本上为一把矩形的casing扇子在稳定、不稳定的模拟上被讨论。impellers的片插头角度是35?
简介:Anintegratedcouplingelementconsideringwheel-railinterfaceforanalyzingthedynamicresponsesofvehicle-rail-bridgeinteractionsystemwithanon-uniformcontinuousbridgeispresented.Thegoverningequationsoftheinteractionsystemareestablishedfirst,andthesolutionprocedureandassemblymethodofthecouplingelementaredemonstrated.Finally,theaccuracy,efficiencyandfunctionoftheintegratedcouplingelementaretestedusingtwonumericalexamples.Theinfluencesofdifferentcombinationsofrailandbridgeelementlengthinthecouplingelementonthesolutionareinvestigated,andtheeffectsofdifferentrailirregularitiesonthedynamicresponsesarediscussed.
简介:Inlostpaperofmagneto-hydrodynamicinstabilityanalysisofliquidmetalfreesurfacejetflow(PartⅠ),themagneto-hydrodynamicinstabilitywasanalyzedforthejetflowinatransversenon-uniformmagneticfield,BT.But,asallknown,fortherealconditionsofliquidmetallimiter-divertorplasma-facingcomponentsareintoroidalandpoloidalfields.So,wetrytoanalyzethemagneto-hydrodynamicinstabilityofthejetflow(herebyonlyforcircularshapecrosssectionjetflow)inthezoneofnon-uniformmagneticfields,
简介:TheaimofthispaperistogiveupperboundsofthenormoftheoperatorandassociatederrorforaLagrangeinterpolationproblembyC~1quadraticsplines.Thedomainisrectangularandthetype-2triangulationisnon--uniform.Moreoverthelocationofdatapointsallowsaverysimplecompationoftheinterpolant.
简介:这份报纸在3D学习非自治的不可压缩的非牛顿的液体的轨道asymptotic行为围住的领域。在适当拓扑学,作者为对统一轨道空间起作用的翻译semigroup证明一致轨道引起注意的人的存在。
简介:这份报纸为最好的制服处理Kolmogorov标准coapproximation和强烈独特的最好的一致coapproximation。在最好的一致近似和最好的一致coapproximation之间的一些关系被获得。一些平等和最好的一致coapproximation被连接。
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简介:LetMbeaconvexChebyshevsubsetofauniformlyconvexanduniformlysmoothBanachspace.ItisprovedthatthemetricprojectionP_MofXontoMisuniformlycontinu-ousoneveryboundedsubsetofX.Moreover,aglobalandexplicitestimateonthemodulusofcontinuityofthemetricprojectionisobtained.
简介:BymeansoftheHermitianmetricandChernconnection,Qiu[4]obtainedtheKoppelman-Leray-Norguetformulafor(p,q)differentialformsonanopensetwithC~1piecewisesmoothboundaryonaSteinmanifold,andundersuitableconditionsgavethesolutionsof■-equationonaSteinmanifold.Inthisarticle,usingthemethodofRangeandSiu[5],undersuitableconditions,theauthorscomplicatedlycalculatetogivetheuniformestimatesofsolutionsof■-equationfor(p,q)differentialformsonaSteinmanifold.