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

简介：自从环境能力并且象陆地实际上联系了的居民一样可耕全部的平衡，斜坡为各种各样的工程构造正在成为越来越重要的选择。因为斜坡的地质的复杂性，设计和基于斜坡的设计的决策仍然不是实际的完全依靠理论分析和数字计算，但是主要在专家的经验上。因此，它有重要实际意义把一些成功的经验变成数学方程。在在云南设计构造盒子的丰富的典型斜坡之上基于，西南的中国，为分析斜坡稳定性的3个方法在这篇论文被开发了。首先，为分析斜坡稳定性的通信类似的数学方程通过案例研究被建立了。然后，当7个主要影响因素被采用时，人工的神经网络和multivariate回归分析也被建立了。

简介：Thestudyofstructure,thermodynamicstate,equationofstate(EOS)andtransportpropertiesofwarmdensematter(WDM)hasbecomeoneofthekeyaspectsoflaboratoryastrophysics.Thisfieldhasdemonstrateditsimportancenotonlyconcerningtheinternalstructureofplanets,butalsootherastrophysicalbodiessuchasbrowndwarfs,crustsofoldstarsorwhitedwarfstars.Therehasbeenarapidincreaseininterestandactivityinthisfieldoverthelasttwodecadesowingtomanytechnologicaladvancesincludingnotonlythecommissioningofhighenergyopticallasersystems,zpinchesandX-rayfreeelectronlasers,butalsoshort-pulselaserfacilitiescapableofgenerationofnovelparticleandX-raysources.ManynewdiagnosticmethodshavebeendevelopedrecentlytostudyWDMinitsfullcomplexity.Evenultrafastnonequilibriumdynamicshasbeenaccessedforthefirsttimethankstosubpicosecondlaserpulsesachievedatnewfacilities.RecentyearssawanumberofmajordiscoverieswithdirectimplicationstoastrophysicssuchastheformationofdiamondatpressuresrelevanttointeriorsoffrozengiantplanetslikeNeptune,metallichydrogenunderconditionssuchasthosefoundinsideJupiter’sdynamoorformationoflonsdaleitecrystalsunderextremepressuresduringasteroidimpactsoncelestialbodies.Thispaperprovidesabroadreviewofthemostrecentexperimentalworkcarriedoutinthisfieldwithaspecialfocusonthemethodsused.AlltypicalschemesusedtoproduceWDMarediscussedindetail.MostofthediagnostictechniquesrecentlyestablishedtoprobeWDMarealsodescribed.Thispaperalsoprovidesanoverviewofthemostprominentexamplesofthesemethodsusedinexperiments.Eventhoughthemainemphasisofthepublicationisexperimentalworkfocusedonlaboratoryastrophysicsprimarilyatlaserfacilities,abriefoutlineofothermethodssuchasdynamiccompressionwithz-pinchesandstaticcompressionusingdiamondanvilcells(DAC)isalsoincluded.Somerelevanttheoretic

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简介：Plantationpoplarisoneofthemostimportantresourcesforwoodindustry,itsutilizationfieldisvast.ThewettabilityofPopulustomentosawithdifferentdryingmethodswasjudgedbymeasurementofcontactangleusingdistilledwaterinthispaper.Theresultsshowedthatthespecimensfromconventionaldryinghavethebiggestcontactangle,andtheairdriedhavethesmallestcontactangle,airdriedlumbershaveabetterwettabilitythanthekilndried.Thechangesofcontactangleinaperiodoftim...

简介：Avarietyofmatrixrationalinterpolationproblemsincludethepartialrealizationproblemformatrixpowerseriesandtheminimalrationalinterpolationproblemforgeneralmatrixfunctions.Severalproblemsincircuittheoryanddigitalfilterdesigncanalsobere-ducedtothesolutionofmatrixrationalinterpolationproblems[1—4].Bymeansofthereachabilityandtheobservabilityindicesofdefinedpairsofmatrices,Antoulas,Ball,KangandWillemssolvedtheminimalmatrixrationalinterpolationproblemin[1].Onthe

简介：Withthedevelopmentofgenomesequencingformanyorganisms,moreandmorerawsequencesneedtobeannotated.Genepredictionbycomputationalmethodsforfindingthelocationofproteincodingregionsisoneoftheessentialissuesinbioinformatics.Twoclassesofmethodsaregenerallyadopted:similaritybasedsearchesandabinitioprediction.Here,wereviewthedevelopmentofgenepredictionmethods,summarizethemeasuresforevaluatingpredictorquality,highlightopenproblemsinthisarea,anddiscussfutureresearchdirections.

简介：TheGalerkinandleast-squaresmethodsaretwoclassesofthemostpopularKrylovsubspacemethOdsforsolvinglargelinearsystemsofequations.Unfortunately,boththemethodsmaysufferfromseriousbreakdownsofthesametype:InabreakdownsituationtheGalerkinmethodisunabletocalculateanapproximatesolution,whiletheleast-squaresmethod,althoughdoesnotreallybreakdown,isunsucessfulinreducingthenormofitsresidual.Inthispaperwefrstestablishaunifiedtheoremwhichgivesarelationshipbetweenbreakdownsinthetwometh-ods.Wefurtherillustratetheoreticallyandexperimentallythatifthecoefficientmatrixofalienarsystemisofhighdefectivenesswiththeassociatedeigenvalueslessthan1,thentherestart-edGalerkinandleast-squaresmethodswillbeingreatrisksofcompletebreakdowns.Itappearsthatourfindingsmayhelptounderstandphenomenaobservedpracticallyandtoderivetreat-mentsforbreakdownsofthistype.

简介：Weconsidertheclassicalpolicyiterationmethodofdynamicprogramming(DP),whereapproximationsandsimulationareusedtodealwiththecurseofdimensionality.Wesurveyanumberofissues:convergenceandrateofconvergenceofapproximatepolicyevaluationmethods,singularityandsusceptibilitytosimulationnoiseofpolicyevaluation,explorationissues,constrainedandenhancedpolicyiteration,policyoscillationandchattering,andoptimisticanddistributedpolicyiteration.Ourdiscussionofpolicyeva...

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简介：Inthispaper,weareconcernedwithuniformsuperconvergenceofGalerkinmethodsforsingularlyperturbedreaction-diffusionproblemsbyusingtwoShishkin-typemeshes.Basedonanestimateoftheerrorbetweensplineinterpolationoftheexactsolutionanditsnumericalapproximation,aninterpolationpost-processingtechniqueisappliedtotheoriginalnumericalsolution.Thisresultsinapproximationexhibitsuperconvergencewhichisuniformintheweightedenergynorm.Numericalexamplesarepresentedtodemonstratetheeffectivenessoftheinterpolationpost-processingtechniqueandtoverifythetheoreticalresultsobtainedinthispaper.

简介：ＲＯＷ－ＡＣＴＩＯＮＭＥＴＨＯＤＳＦＯＲＣＯＮＶＥＸＱＵＡＤＲＡＴＩＣＰＲＯＧＲＡＭＭＩＮＧＧＵＯＴｉａｎｄｅ（ＭａｔｈｅｍａｔｉｃｓＤｅｐａｒｔｍｅｎｔｏｆＱｕｆｕＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ，Ｑｕｆｕ，Ｓｈａｎｄｏｎｇ２７３１６５，Ｃｈｉｎａ...

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简介：Basedonelementarygrouptheory,theblockpivotmethodsforsolv-ingtwo-dimensionalelasticfrictionalcontactproblemsarepresentedinthispaper.Itisprovedthatthealgorithmsconvergewithinafinitenumberofstepswhenthefrictioncoefficientis'relativesmall'.Unlikemostmathematicalprogrammingmeth-odsforcontactproblems,theblockpivotmethodspermitmultipleexchangesofbasicandnonbasicvariables.

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

简介：Inthepast,filminglateralradiogramneededtheassociationoffilmingbedandanglewooden-box.Whichhasthedefectsthatitrequiredtoocomplexoperationandcan'tavoidtheeontralateralshoulderwardingofftheray.TheauthorinventedanewwaytofilmLateralradiogramofmandiblethroughyears'practice,whichismoresimpleandconvenientandsuitableforroutineoperation.

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简介：Errorestimatesareestablishedforthefinitedementmethodstosolveaclassofsecondordernonlinearparabolicequations.OptimalratesofconvergenceinL2-andH1-normsarederived.Meanwhile,theschenesaresecondordercorrectintime.

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