简介：Inthispaper,standardandeconomicalcascadicmultigridmethodsareconsideredforsolvingthealgebraicsystemsresultingfromthemortarfiniteelementmethods.Bothcascadicmultigridmethodsdonotneedfullellipticregularity,sotheycanbeusedtotacklemoregeneralellipticproblems.Numericalexperimentsarereportedtosupportourtheory.

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简介：CascadicmultigridtechniqueformortarWilsonfiniteelementmethodofhomogeneousboundaryvalueplanarlinearelasticityisdescribedandanalyzed.FirstthemortarWilsonfiniteelementmethodforplanarlinearelasticitywillbeanalyzed,andtheerrorestimateunderL2andH1normisoptimal.Thenacascadicmultigridmethodforthemortarfiniteelementdiscreteproblemisdescribed.Suitablegridtrans-feroperatorandsmootheraredevelopedwhichleadtoanoptimalcascadicmultigridmethod.Finally,thecomputationalresultsarepresented.

简介：Inthepresentpaperweextendthemethodpresentedby0.AxelssonandP.VassilevskicalledAMLPversion(i)ofrecursivelyconstructingpreconditionerforthestiffnessmatrixinthediscretizationofselfadjointsecondorderellipticboundaryvalueproblems.Inourextendedmethodthesystemstobeeliminatedoneachlevelcontainingthemajorblockmatricesofthegivenmatrixcanbesolvedapproximately,whiletheymustbesolvedexactlyintheoriginalmethod.

简介：Inthispaperweprovethattheasymptoticrateofconvergenceofthemod-ifiedGauss-Seidelmethodofanon-singularM-matrixisamonotonicfunctionforpreconditionparameters0≤αi≤1-2,(i=1,2,…,n-1).

简介：AimsandScope:NumericalMathematics:Theory,MethodsandApplications(NM-TMA)publisheshigh-qualityoriginalresearchpapersontheconstruction,analysisandapplicationofnumericalmethodsforsolvingscientificproblems.Importantresearchandexpositorypapersdevotedtothenumericalsolutionofmathematicalproblemsarisinginallareasofscience

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简介：AimsandScope:NumericalMathematics:Theory,MethodsandApplications(NM-TMA)publisheshigh-qualityoriginalresearch

简介：AimsandScope:NumericalMathematics:Theory,MethodsandApplications(NM-TMA)publisheshigh-qualityoriginalresearchpapersontheconstruction,analysisandapplicationofnumericalmethodsforsolvingscientificproblems.Importantresearchandexpositorypapersdevotedtothenumericalsolutionofmathematicalproblemsarisinginallareasofscienceandtechnologyareexpected.ThejournaloriginatesfromthejournalNumericalMathematics:AJournalofChineseUniversities(EnglishEdition).

简介：Inthispaper,theauthorsgivesomeapplicationsofF-uniformlydistributedsequences,whicharesuggestedintheirpreviouspaperunderthesametitle,inexperimen-taldesign,experimentswithmixtures,geometricprobabilityandsimulation.

简介：Somewaysofmultilevelrelaxedpreconditioningmatricesforthestiffnessmatrixinthediscretizationofselfadjointsecondorderellipticboundaryvalueproblemsareproposed.Forreason-ableassumptionsoftherelaxedfactorω,smallerrelativeconditionnumbersaregiven.Theoptimalrelaxedfactorωisderived,too.

简介：InthispaperweprovethattheconvergencerateofthemodifiedGauss-Seidelmethodisamonotonicfunctionforsomepreconditionparameters.

简介：AconicNewtonmethodisattractivebecauseitconvergestoalocalminimizzerrapidlyfromanysufficientlygoodinitialguess.However,itmaybeexpensivetosolvetheconicNewtonequationateachiterate.InthispaperweconsideraninexactconicNewtonmethod,whichsolvesthecouicNewtonequationoldyapproximatelyandinsonmunspecifiedmanner.Furthermore,weshowthatsuchmethodislocallyconvergentandcharacterizestheorderofconvergenceintermsoftherateofconvergenceoftherelativeresiduals.

简介：Resolventmethodsarepresentedforgeneratingsystematicallyiterativenumericalalgorithmsforconstrainedproblemsinmechanics.Theabstractframeworkcorrespondstoageneralmixedfiniteelementsubdif-ferentialmodel,withdualandprimalevolutionversions,whichisshowntoapplytoproblemsoffluiddynamics,transportphenomenaandsolidmechanics,amongothers.Inthismanner,Uzawa’stypemethodsandpenalization-dualityschemes,aswellasmacro-hybridformulations,aregeneralizedtononnecessarilypotentialnanlinearmechanicalproblems.

简介：Aformulationofadifferentialequationasprojectionandfixedpointpi-Memalloivsapproximationsusinggeneralpiecnvisefunctions.Weproneexistenceanduniquenessoftheupproximatesolution*convergenceintheL2normandnodalsupercnnvergence.TheseresultsgeneralizethoseobtainedearlierbyHulmeforcontinuouspiecevjisepolynomialsandbyDelfour-Dubeaufordiscontinuouspieceuiisepolynomials.Adualityrelationshipforthetwotypesofapproximationsisalsogiven.

简介：Inthispaper,thesemi-discreteandfullydiscreteFourierspectralschemesfortheGinzburg-LandaucoupledwithBBMequationswithperiodicinitialvalueproblemareproposed,andtheconvergenceandstabilitiesfortheschemesareproved.

简介：Inthispaper,wesetupageneralframeworkofparallelmatrixmullisplittingrelaxationmethodsforsolvinglargescalesystemoflinearequations.Weinvestigatetheconvergencepropertiesofthisframeworkandgiveseveralsufficientconditionsensuringittoconvergeaswellasdiverge.Atlast,weconcludeanecessaryandsufficientconditionfortheconvergenceofthisframeworkwhenthecoefficientmatrixisanL-matrix.