简介:Inthispaper,theforecastingequationsofa2nd-orderspace-timedifferentialremainderarededucedfromtheNavier-StokesprimitiveequationsandEulerianoperatorbyTaylor-seriesexpansion.Hereweintroduceacubicsplinenumericalmodel(SplineModelforshort),whichiswithaquasi-Lagrangiantime-splitintegrationschemeoffittingcubicspline/bicubicsurfacetoallphysicalvariablefieldsintheatmosphericequationsonsphericaldiscretelatitude-longitudemesh.Anewalgorithmof'fittingcubicspline—timestepintegration—fittingcubicspline—……'isdevelopedtodeterminetheirfirst-and2nd-orderderivativesandtheirupstreampointsfortimediscreteintegraltothegoverningequationsinSplineModel.AndthecubicsplinefunctionanditsmathematicalpolaritiesarealsodiscussedtounderstandtheSplineModel’smathematicalfoundationofnumericalanalysis.ItispointedoutthattheSplineModelhasmathematicallawsof'convergence'ofthecubicsplinefunctionscontractingtotheoriginalfunctionsaswellasits1st-orderand2nd-orderderivatives.The'optimality'ofthe2nd-orderderivativeofthecubicsplinefunctionsisoptimalapproximationtothatoftheoriginalfunctions.Inaddition,aHermitebicubicpatchisequivalenttooperateonagridfora2nd-orderderivativevariablefield.Besides,theslopesandcurvaturesofacentraldifferenceareidentifiedrespectively,withasmoothingcoefficientof1/3,three-pointsmoothingofthatofacubicspline.Thentheslopesandcurvaturesofacentraldifferencearecalculatedfromthesmoothingcoefficient1/3andthree-pointsmoothingofthatofacubicspline,respectively.Furthermore,aglobalsimulationcaseofadiabatic,non-frictionaland'incompressible'modelatmosphereisshownwiththequasi-LagrangiantimeintegrationbyusingaglobalSplineModel,whoseinitialconditioncomesfromtheNCEPreanalysisdata,alongwithquasi-uniformlatitude-longitudegridsandtheso-called'shallowatmosphere'Navier-Stokesprimitiveequationsinthes
简介:Overthepastthreeorfouryears,severalprominentcommentatorshavemadesomeastonishingclaims,andwiththehelpofthemedia,manypeoplenowbelievethattheglobalorderhasdramaticallychangedbecauseofChina.OnefamousU.S.scholarofinternationalpoliticsstartedtheideaofG2,sayingthatonlytheU.S.and
简介:Yttriumaluminumgarnet(YAG)transparentceramicswerefabricatedbysinteringatoxygenatmosphere.Tetraethylorthosilicate(TEOS)wasaddedasthesinteringadditivetocontrolthegraingrowthanddensification.Poreswereeliminatedclearlyattemperaturelowerthan1700oC,whilegrainsizewasaround3μm.Thein-linetransmittancewas80%at1064nmwhensamplesweresinteredat1710oC.TheeffectofTEOSwasstudiedinoxygenatmospheresinteringforNd:YAGtransparentceramics.Athighertemperaturelike1710oC,thegraingrowthmechanismwassolutedrag,whileat1630and1550oCthegraingrowthwascontrolledbyliquidphasesinteringmechanism.And0.5wt.%TEOSwasthebestaddingcontentforNd:YAGsinteredinoxygenatmosphere.
简介:UsingNevanlinnatheoryofthevaluedistributionofmeromorphicfunctionsandWiman-Valirontheoryofentirefunctions,weinvestigatetheproblemofgrowthorderofsolutionsofatypeofsystemsofdifferenceequations,andextendsomeresultsofthegrowthorderofsolutionsofsystemsofdifferentialequationstosystemsofdifferenceequations.
简介:Weliveinaworldwhichchanginginallrespects.Someaspectsoftheglobalorderareobviouslychanging.Someofthesechangesarenotyetcompleteastherehasnotyetbeenanyessentialchangeinqualityorquantity.First,theglobalorderischangingintermsofnumbers.Theglobalorderandstrategicconfigurationisaboutthedistributionofpowerandbigpowerrelationsinrelationtothatdistribution.Inthisregard,changeisconstant.Theproportionofdevelopedcountriesatthetophasbeensteadilydeclining,meanwhile,theproportionofdevelopingcountries,includingnewlyemergingeconomics,isrising.Tenyearsago,theeconomiesofthedevelopedcountries(namelytheU.S.,EuropeandJapan)accountedfor60-70%oftheworldtotal,butthefiguretodayislessthan60%.Theworldismovingtowardasituationinwhichthedevelopedanddevelopingcountrieseachholdabout50%oftheworldeconomy.
简介:Inthispaper,weextendtheapplicationsofproperorthogonaldecomposition(POD)method,i.e.,applyPODmethodtoamixedfiniteelement(MFE)formulationnaturallysatisfiedBrezz-Babuskaforparabolicequations,establishareduced-orderMFEformulationwithlowerdimensionsandsufcientlyhighaccuracy,andprovidetheerrorestimatesbetweenthereduced-orderPODMFEsolutionsandtheclassicalMFEsolutionsandtheimplementationofalgorithmforsolvingreduced-orderMFEformulation.Somenumericalexamplesillustratethefactthattheresultsofnumericalcomputationareconsistentwiththeoreticalconclusions.Moreover,itisshownthatthenewreduced-orderMFEformulationbasedonPODmethodisfeasibleandefcientforsolvingMFEformulationforparabolicequations.
简介:Ahigh-repetitionratemasteroscillatorpoweramplifierpumpedwithlaserdiodes(LDs)isreported.Aninjectionseedingsingle-frequencyelectro-opticalQ-switchedNd:YAGlaserisusedasanoscillator,andaconductivelycooledNd:YAGzigzagslabwithabounce-pumpedarchitectureisutilizedasapoweramplifier.Pulseenergiesofover800mJat1064nmand400mJat532nm,correspondingtoaveragepowersof200and100W,respectively,areachievedwitha12.6-nspulsewidthat250Hz.Outputfrequencyfluctuationsandsingle-frequencyoperationarefurthermonitored.Experimentalresultsrevealthattheproposedsystem,whichfeaturesasingle-passamplifiedconfiguration,isapromisingdesignforspace-basedapplications.
简介:Basedonthestochasticmarketdemand,thispaperconsiderstheorderdecision-makingstrategiesofthesupplychainbyintroducingstatementstrategies.Consequently,thetime-variantvarianceinthedemandsofthemarketisincorporatedintothemodel.Theretailersimultaneouslydeterminesthepurchasetime(i.e.,leadtime)andorderquantity,andthemanufacturerdeterminesthestatementstrategyandthereservedprofitrate.Theresultsshowthatthenoovertimestatementstrategycaninducetheretailertoplacemoreordersinadvancebylimitingtheavailableorderquantitywithintheavailabletime.Finally,wealsoadoptnumericalexamplestosupporttheconclusionofthispaper.