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简介:Inthispaperwedescribeamulti-gridalgorithmformixedproblemswithpenaltybythelinearfiniteelementapproximation.Itisprovedthattheconvergencerateofthealgorithmisboundedawayfrom1independentlyofthemeshsize.Forconvenience,weonlydiscussJacobirelaxationassmoothingoperatorindetail.
简介:TheauthorsprovetheHyers-Ulam-RassiasstabilityofthequadraticmappinginBanachmodulesoveraunitalC*-algebra,andprovetheHyers-Ulam-RassiasstabilityofthequadraticmappinginBanachmodulesoveraunitalBanachalgebra.
简介:Theabinitiomolecularorbitalmethodisemployedtostudytheenantioselectivereductionofacetophenonewithboranecatalyzedbythiszolidino[3,4-c]oxazaborolidine.Computationresultshowsthatthecontrollingstepforthereductionisthedecompositionofthecatalyst-alkoxyboraneadductandthereductionleadstoS-alcohols.ThetransitionatateofthehydridetransferfromtheboranemoietytothecarbonylcarbonofacetophenoneisatwistedchairstructurewithaB(2)-N(3)-BBH3-HBH3-CCo-OCO6-memberedring.
简介:本文得到了C*-代数值度量空间中的一些不动点定理,其结果改进并推广了马振华等人发表在2014年《不动点理论及其应用》一文中的工作.而且,运用所得到的结果,获得了一类常见积分方程解的存在性和唯一性定理.
简介:LetM^nbeaclosedspacelikesubmanifoldisometricallyimmersedindeSitterspaceSp^(n+p)(c),DenotebyR,HandSthenormalizedscalarcurvature,themeancurvatureandthesquareofthelengthofthesecondfundamentalformofM^n,respectively.SupposeRisconstantandR≤c.ThepinchingproblemonSisstudiedandarigiditytheoremforM^nimmersedinSp^(n+p)(c)withparallelnormalizedmeancurvaturevectorfieldisproved.Whenn≥3,thepinchingconstantisthebest.Thus,themistakeofthepaper“Space-likehypersurfacesindeSitterspacewithconstantscalarcurvature”(seeManusMath,1998,95:499-505)iscorrected.Moreover,thereductionofthecodimensionwhenM^nisacompletesubmanifoldinSp^(n+p)(c)withparallelnormalizedmeancurvaturevectorfieldisinvestigated.