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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简介：Inthispaper,someeffectivecascadicmultigridmethodsareproposedforsolvingthelargescalesymmetricornonsymmetricalgebraicsystemsarisingfromthefinitevolumemethodsforsecondorderellipticproblems.Itisshownthatthesealgorithmsareoptimalinbothaccuracyandcomputationalcomplexity.Numericalexperimentsarereportedtosupportourtheory.

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简介：Inthispaper,forgenerallinearmethodsappliedtostrictlydissipativeinitialvalueprobleminHilbertspaces,weprovethatalgebraicstabilityimpliesB-convergence,whichextendsandimprovestheexistingresultsonRunge-Kuttamethods.Specializingourresultsforthecaseofmulti-stepRunge-Kuttamethods,aseriesofB-convergenceresultsareobtained.

简介：Inthispaperweconsidertheglobalconvergenceofanyconjugategradientmethodoftheformd1=-g1,dk+1=-gk+1+βkdk(k≥1)withanyβksatisfyingsumeconditions,andwiththestrongwolfelinesearchconditions.Undertheconvexassumptionontheobjectivefunction,weprevethedescenfpropertyandtheglobalconvergenceofthismethod.

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简介：NewalgorithmsbasedonartificialneuralnetworkmodelsarepresentedforcubicNURBScurveandsurfaceinterpolation.Whenallthknotspansareidentical,theNURBScurveinterpolationproceduredegeneratesintothatofuniformrationalB-splinecurves.Ifalltheweightsofdatapointsareidentical,thentheNURBScurveinterpolationproceduredegeneratesintotheintegralB-splinecurveinterpolation.

简介：InthispaperweconsidersomesynchronousandasynchronousmultisplittingandSchwarzmethodsforsolvingthelinearcomplementarityproblems.WeestablishsomeconvergencetheoremsofthemethodsbyusingtheconceptofM-splitting.

简介：AniterativemethodofDeJong,GreigandMadan(1985)forobtainingmaximumlikelihoodestimatesforcontingencytablesderivedfromaMover-Stayermodelisconsidered.Itisshownthatthismethodworksforothersamplingschemesleadingtoincompletecontingencytables.Moreover,compar-isonsindicatethatthemethodisveryfast.

简介：LetthelinearsystemAx=bwherethecoefficientmatrixA=(aij)∈Rm,nisanL-ma-trix(thatis,aij>0（?）iandaij≤0（?）i≠j),A=I-L-U,Iistheidentitymatrix,-Land-Uare,respectively,strictlylowerandstrictlyuppertriangularpartsofA.In[1]theauthorsconsideredtwopreconditionedlinearsystems?x=（?）and?x=（?）

简介：Assumethataconvergentmatrixsequence{An}:An→A（n→∞）,An,A∈C3×3.Wewanttoformanewmatrixsequence{Hn},derivedfrom{An},whichhasalsoAaslimitandwhoseconvergenceisfasterthantheof{An}.Threerationalextrapolationmeth-odsforacceleratingtheconvergenceofmatrixsequences{An}arepresentedinthispaper.Theunderlyingmethodsarebasedonthegeneralizedinverseformatriceswhichisuseful