简介:Inthispaper,simultaneousuniformapproximationandmeanconvergenceofquasi-HermiteinterpolationanditsderivativebasedonthezerosofJacobipolynomialsareconsideredseparately.Thedegreesofthecorrespondingapproximationsarerespectivelygivenalso.Someknownresultsareimprovedaudextended.
简介:EllipticPDE-constrainedoptimalcontrolproblemswithL^1-controlcost(L^1-EOCP)areconsidered.TosolveL^1-EOCP,theprimal-dualactiveset(PDAS)method,whichisaspecialsemismoothNewton(SSN)method,usedtobeapriority.However,ingeneralsolvingNewtonequationsisexpensive.Motivatedbythesuccessofalternatingdirectionmethodofmultipliers(ADMM),weconsiderextendingtheADMMtoL^1-EOCP.TodiscretizeL^1-EOCP,thepiecewiselinearfiniteelement(FE)isconsidered.However,differentfromthefinitedimensionalL^1-norm,thediscretizedL^1-normdoesnothaveadecoupledform.Toovercomethisdifficulty,aneffectiveapproachisutilizingnodalquadratureformulastoapproximatelydiscretizetheL^1-normandL^2-norm.Itisprovedthattheseapproximationstepswillnotchangetheorderoferrorestimates.Tosolvethediscretizedproblem,aninexactheterogeneousADMM(ihADMM)isproposed.DifferentfromtheclassicalADMM,theihADMMadoptstwodifferentweightedinnerproductstodefinetheaugmentedLagrangianfunctionintwosubproblems,respectively.Benefitingfromsuchdifferentweightedtechniques,twosubproblemsofihADMMcanbeefficientlyimplemented.Furthermore,theoreticalresultsontheglobalconvergenceaswellastheiterationcomplexityresultso(1/k)forihADMMaregiven.Inordertoobtainmoreaccuratesolution,atwo-phasestrategyisalsopresented,inwhichtheprimal-dualactiveset(PDAS)methodisusedasapostprocessoroftheihADMM.Numericalresultsnotonlyconfirmerrorestimates,butalsoshowthattheihADMMandthetwo-phasestrategyarehighlyefficient.
简介:由在卡尔弗特和Gupta的非线性的accretivemappings的范围的和上使用不安理论,我们在答案u∈L~S的存在上学习抽象结果(包含p拉普拉斯算符操作员的非线性的边界价值问题的Ω),在此2≤s≤+∞,并且(2N)/(N+1)
2为N(≥1)它表示R~N的尺寸。获得结果,一些新技术在这篇论文被使用。在这里的这篇论文和我们的方法讨论的方程是扩展和补充到L.魏和Z.的相应结果他。
简介:Nowstudyingfordoctor'sdegreeatinstituteofSystemsScience,AcademiaSinica.TheoremDI4]Letk21beaninteger.IfGisaconnectedclaw-freegmphwithhiV(G)levenandwithminimumdegreee(G)atleastZk,thenGhasak-factor.Inthispaper,wegeneralizedtheresultofTheoremC,andobtainthefollowingTheoremifGisanN'-locallyconnectedclawtheegraphwithb(G)22,thenGhasa2-factor.2.LemmasLemma1IfGisanN'-locallyconnectedclaw-acegashwith6(G)22,thenforeachxo6V(G),Ghasashonestcyclecontainingxoandhavingatmost5venices.Lemma2IfGisanN'--locallyconnectedclaw-fr?
简介:TheemergenceofB2Belectronicmarketshasgreatlychangedtherelativebargainingpowerofbuyersandsellers.Westudytheequilibriummarketstructureinabuyer’smarket.Wefindthatbuyer-controlledB2BmarketsandneutralB2Bmarketshavedifferentequilibriumstructures,andtheemergenceofB2Bmarketswillincreasesocialwelfare,butitseffectonbuyersandsellerswillbedifferent:B2Bmarketsincreasetheconsumersurplusoftheendmarket,buttheireffectsonbuyerandsellerprofitsaremoderatedbytherelativebargainingpowerofbuyersandsellers.TheprofitsofthesidewithmuchweakerbargainingpowerwilldecreaseduetotheintroductionofB2Bmarkets.
简介:ThemixedH2/H∞guaranteedcostcontrolproblemviastatefeedbackcontrollawsisconsideredinthispaperforlinearsystemswithnorm-boundedparameteruncertainty.Basedonthelinearmatrixinequality(LMI)approach,sufficientconditionsarederivedfortheexistenceofguaranteedcostcontrollerswhihcguaranteenotonlyaprespecifiedH∞disturbanceattenuationlevelononecontrolledoutputforalladmissibleparameteruncertainties,butalsotheworst-caseH2performanceindexontheothercontrolledoutputtobenomorethanaspecifiedbound.Furthermore,aconvexoptimizationproblemisformulatedtodesignanoptimalH2/H∞guaranteedcostcontroller.
简介:摘要本文选取常规观测资料、自动站资料以及NCEP再分析资料等相关资料,对2016年7月2-4日如皋市暴雨天气成因进行分析。结果表明本次暴雨天气主要是由于副热带高压稳定少动、低涡东移和西南暖湿气流共同作用下产生的。本次暴雨天气的水汽输送通道主要是由副热带高压西侧所产生的偏南气流,持续将来自南海以及孟加拉湾海的水汽朝华东输送,同时在强降水落区上游构成很强的水汽辐合,为此次暴雨天气的发生发展提供了有利的水汽条件。低层辐合,高层辐散的抽吸作用对于上升运动的产生以及维持较为有利,为暴雨天气的发生发展给予了较好的动力条件。在本次暴雨天气过程中,K指数始终维超过35℃,大气呈现出特别不稳定的状态。SI指数的分布具有显著的日变化。如皋市呈现出“中高层干、低层湿”的形势,高温高湿的环境形成热力不稳定条件,促使暴雨天气的产生。
简介:摘要2017年2月19日—20日受到强冷空气的影响,乌鲁木齐市出现长达22个小时的大暴雪天气过程,本文利用降雪实况资料、自动站观测资料等从天气形势、物理量诊断等角度分析了此次暴雪天气过程,结果表明受到强冷空气的影响,再加上高空槽逐渐向东移动,西南气流开始影响并控制乌鲁木齐市,其上空大气层结的稳定性比较差,为强降雪天气过程创造了有利条件;水汽通量散度辐合中心位于乌鲁木齐上空,再受到低空西南气流的影响,导致水汽由高湿区域进入到低湿区域,促进水汽通量辐合,再加上高层辐散、低层辐合的配置引发垂直上升运动,为强降雪天气过程的发生、持续与发展创造了有利条件。