简介：

简介：Ahybridtriplesystemofordervandindexλ,denotedbyHTS(v,λ),isapair(X,B)whereXisav-setandBisacollectionofcyclictriplesandtransitivetriplesonX,suchthateveryorderedpairofXbelongstoλtriplesofB.AnoverlargesetofdisjointHTS(v,λ),denotedbyOLHTS(v,λ),isacollection{(Y\{y},Ai)}i,suchthatYisa(v+1)-set,each(Y\{y},Ai)isanHTS(v,λ)andallAisformapartitionofallcyclictriplesandtransitivetriplesonY.Inthispaper,weshalldiscusstheexistenceproblemofOLHTS(v,λ)andgivethefollowingconclusion:thereexistsanOLHTS(v,λ)ifandonlyifλ=1,2,4,v≡0,1(mod3)andv≥4.

简介：AnegativecurvaturemethodisappliedtononlinearleastsquaresproblemswithindefiniteHessianapproximationmatrices.Withthespecialstructureofthemethod,anewswitchisproposedtoformahybridmethod.Numericalexperimentsshowthatthismethodisfeasibleandeffectiveforzero-residual,small-residualandlarge-residualproblems.

简介：它为几乎所有足够地大的甚至整数n被证明那，主要可变方程n=p_1+p_2，p_1∈P_γ是可解决的，与13/15<γ≤1，在此P_γ={p|p=[m~(1/γ)]，为整数m和主要p}是Piatetski-Shapiro素数的集合。

简介：Solution-drivenmeshadaptationisbecomingquitepopularforspatialerrorcontrolinthenumericalsimulationofcomplexcomputationalphysicsapplications,suchasclimatemodeling.Typically,spatialadaptationisachievedbyelementsubdivision(hadaptation)withaprimarygoalofresolvingthelocallengthscalesofinterest.Asec-ond,less-popularmethodofspatialadaptivityiscalled'meshmotion'(radaptation);thesmoothrepositioningofmeshnodepointsaimedatresizingexistingelementstocapturethelocallengthscales.Thispaperproposesanadaptationmethodbasedonacombinationofbothelementsubdivisionandnodepointrepositioning(rhadaptation).Bycombiningthesetwomethodsusingthenotionofamobilityfunction,theproposedapproachseekstoincreasetheflexibilityandextensibilityofmeshmotionalgorithmswhileprovidingasomewhatsmoothertransitionbetweenrefinedregionsthanispro-ducedbyelementsubdivisionalone.Further,inanattempttosupporttherequirementsofaverygeneralclassofclimatesimulationapplications,theproposedmethodisde-signedtoaccommodateunstructured,polygonalmeshtopologiesinadditiontothemostpopularmeshtypes.

简介：Inthispapertheexistenceanduniquenessofthesolutionofimplicithybridmethods(IHMs)forsolvingtheinitialvalueproblems(IVPs)ofstiffordinarydifferentialequations(ODEs)isconsidered.Weprovidethecoefficientconditionanditsjudgingcriterionaswellastherighthandconditiontoensuretheexistingsolutionuniquely.

简介：BasedonthedataobtainedfromasurveyrecentlymadeinShanghai,thispaperpresentsthehybridtechniqueforriskanalysisandevaluationofsomediseases.Afterdeterminationofmainriskfactorsofthesediseasesbyanalysisofvariance,theauthorsintroduceanewconcept‘IllnessFuzzySet’andusefuzzycomprehensiveevaluationtoevaluatetheriskofsufferingfromadiseaseforresidents.Optimaltechniqueisusedtodeterminetheweightswiinfuzzycomprehensiveevaluation,andanewmethod‘ImprovedInformationDistribution’isalsointroducedforthetreatmentofsmallsampleproblem.Itisshownthattheresultsobtainedbyusingthehybridtechniquearebetterthanbyusingsinglefuzzytechniqueorsinglestatisticalmethod.

简介：Thispaperpresentsaclassofhybridone-stepmethodsthatareobtainedbyusingCramer’sruleandrationalapproximationstofunctionexp(q).Thealgorithmsfallintothecatalogueofimplicitformula,whichinvolvessthorderderivativeands+1freeparameters.Theorderofthealgorithmssatisfiess+1≤p≤2s+2.Thestabilityofthemethodsisalsostudied,necessaryandsufficientconditionsforA-stabilityandL-stabilityaregiven.Inaddition,someexamplesarealsogiventodemonstratethemethodpresented.

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简介：AclassofhybridjumpdiffusionsmodulatedbyaMarkovchainisconsideredinthiswork.Themotivationstemsfrominsuranceriskmodels,andemergingapplicationsinproductionplanningandwirelesscommunications.Themodelsarehybridinthattheyinvolvebothcontinuousdynamicsanddiscreteevents.Undersuitableconditions,asymptoticexpansionsofthetransitiondensitiesfortheunderlyingprocessesaredeveloped,Theformalexpansionsarevalidatedandtheerrorboundsobtained.

简介：Ithasbeenevidentthatthetheoryandmethodsofdynamicderivativesareplayinganincreasinglyimportantrleinhybridmodelingandcomputations.Beingconstructedonvariouskindsofhybridgrids,thatis,timescales,dynamicderivativesoffersuperioraccuracyandflexibilityinapproximatingmathematicallyimportantnat-uralprocesseswithhard-to-predictsingularities,suchastheepidemicgrowthwithun-predictablejumpsizesandoptionmarketchangeswithhighuncertainties,ascom-paredwithconventionalderivatives.Inthisarticle,weshallreviewthenovelnewconcepts,exploredelicaterelationsbetweenthemostfrequentlyusedsecond-orderdy-namicderivativesandconventionalderivatives.Weshallinvestigatenecessarycondi-tionsforguaranteeingtheconsistencybetweenthetwoderivatives.Wewillshowthatsuchaconsistencymayneverexistingeneral.Thisimpliesthatthedynamicderivativesprovideentirelydifferentnewtoolsforsensitivemodelingandapproximationsonhy-bridgrids.Rigorouserroranalysiswillbegivenviaasymptoticexpansionsforfurthermodelingandcomputationalapplications.Numericalexperimentswillalsobegiven.

简介：Inthispaper,westudythehybridSchr¨odingerequationinvolvingnormalandfractionalLaplaceoperator,andobtaintheexistenceofthesolutionstothisclassofthehybridpartialdifferentialequation.Ourmainargumentisvariationalmethods.

简介：Thepaperdevelopsexponentialstabilityoftheanalyticsolutionandconvergenceinprobabilityofthenumericalmethodforhighlynonlinearhybridstochasticpantographequation.Theclassicallineargrowthconditionisreplacedbypolynomialgrowthconditions,underwhichthereexistsauniqueglobalsolutionandthesolutionisalmostsurelyexponentiallystable.Onthebasisofaseriesoflemmas,thepaperestablishesanewcriteriononconvergenceinprobabilityoftheEuler-Maruyamaapproximatesolution.Thecriterionisverygeneralsothatmanyhighlynonlinearstochasticpantographequationscanobeytheseconditions.Ahighlynonlinearexampleisprovidedtoillustratethemaintheory.

简介：在这篇论文，出现在图形处理的一个二阶段的半混血儿流动商店问题被学习。为这个问题，有二台机器M_1和M_2，和一套独立工作J={J_1，J_2，…，J_n}。每J_i由二项任务组成在任务B_i能开始以前，A_i和B_i，和任务A_i必须被完成。而且，任务A_i能为a_i时间单位在M_1上被处理，否则在为′_的M_2上，我预定单位，当任务B_i能仅仅为b_i时间单位在M_2上被处理时。工作和机器在时间零点是可得到的，没有先买权被允许。目的是最小化最大的工作结束时间。这个问题是NP难的，这被显示出。并且apseudo多项式时间最佳的算法被介绍。有2也是的最坏的比率的一个多项式时间近似算法介绍了。

简介：Weshallgeneralizetheresultsof[9]aboutcharacterizationofisomorphismsonquasi-Banachalgebrasbyprovidingintegraltypeconditions.Also,weshallgivesomenewresultsinthiswayandfinally,givearesultabouthybridfixedpointoftwohomomorphismsonquasi-Banachalgebras.

简介：InthispaperwestudythecomputationalperformanceofvariantsofanalgebraicadditiveSchwarzpreconditionerfortheSchurcomplementforthesolutionoflargesparselinearsystems.Inearlierworks,thelocalSchurcomplementswerecomputedexactlyusingasparsedirectsolver.Therobustnessofthepreconditionercomesatthepriceofthismemoryandtimeintensivecomputationthatisthemainbottleneckoftheapproachfortacklinghugeproblems.InthisworkweinvestigatetheuseofsparseapproximationofthedenselocalSchurcomplements.TheseapproximationsarecomputedusingapartialincompleteLUfactorization.Suchanumericalcalculationisthecoreofthemulti-levelincompletefactorizationsuchastheoneimplementedinpARMS.Thenumericalandcomputingperformanceofthenewnumericalschemeisillustratedonasetoflarge3Dconvection-diffusionproblems;preliminaryexperimentsonlinearsystemsarisingfromstructuralmechanicsarealsoreported.

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简介：AparallelhybridlinearsolverbasedontheSchurcomplementmethodhasthepotentialtobalancetherobustnessofdirectsolverswiththeefficiencyofpreconditionediterativesolvers.However,whensolvinglarge-scalehighly-indefinitelinearsystems,thishybridsolveroftensuffersfromeitherslowconvergenceorlargememoryrequirementstosolvetheSchurcomplementsystems.Toovercomethischallenge,weinthispaperdiscusstechniquestopreprocesstheSchurcomplementsystemsinparallel.Numericalresultsofsolvinglarge-scalehighly-indefinitelinearsystemsfromvariousapplicationsdemonstratethatthesetechniquesimprovethereliabilityandperformanceofthehybridsolverandenableefficientsolutionsoftheselinearsystemsonhundredsofprocessors,whichwaspreviouslyinfeasibleusingexistingstate-of-the-artsolvers.

简介：Inthispaper,Chebyshevpseudospectral-finiteelementschemesareproposedforsolvingthreedimensionalvorticityequation.SomeapproximationresultsinnonisotropicSobolevspacesaregiven.Thegeneralizedstabilityandtheconvergenceareprovedstrictly.Thenumericalresultsshowtheadvantagesofthismethod.Thetechniqueinthispaperisalsoapplicabletootherthree-dimensionalnonlinearproblemsinfluiddynamics.

简介：Inthispaper,weintroducetwohybriditerativealgorithmsofJungck-Kirk-Mann(J-K-M)andJungck-Kirk(J-K)typestoobtainsomestabilityresultsfornon-selfmappingsbyemployingacertaingeneralcontractivecondition.Ourresultsgeneralizeandextendmostoftheexistingonesintheliterature.