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简介：Inthispaper,weconsiderthetraceofgeneralizedoperatorsandinverseWeyltransformation.Firstofallwerepeatthedefinitionoftestoperatorsandgeneralizedoperatorsgivenin[18],denotingL~2(R)byH.

简介：在这个工作我们在场关于借助于在与形状保存有关的假设下面的一个线性操作符的一个函数的k-th衍生物的近似的结果性质。作为后果，我们关于Meyer-K推出新结果?nig和Zeller操作员。

简介：Wepresentaclassofthesecondorderoptimalsplinesdifferenceschemesderivedfromex-ponentialcubicsplinesforself-adjointsingularlyperturbed2-pointboundaryvalueproblem.Weproveanoptimalerrorestimateandgiveillustrativenumericalexample.

简介：Inthispaper,westudyanoperatorswhichmapseveryn-by-nsymmetricmatrixA,toamatrixs(A_n)thatminimizes||B_n-A_n||FoverthesetofallmatricesB_n,thatcanbediagonalizedbythesinetransform.Thematrixs(A_n),calledtheoptimalsinetransformpreconditioner,isdefinedforanyn-by-nsymmetricmatricesA_n.Thecostofconstructings(A_n)isthesameasthatofoptimalcirculantpreconditionerc(A_n)whichisdefinedin[8],Thes(A_n)hasbeenprovedin[6]tobeagoodpreconditionerinsolvingsymmetricToeplitzsystemswiththepreconditionedconjugategradient(PCG)method.Inthispaper,wediscussthealgebraicandgeometricpropertiesoftheoperators,andcomputeitsoperatornormsinBanachspacesofsymmetricmatrices.Somenumericaltestsandanapplicationinimagerestorationarealsogiven.

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简介：<正>Inthispaper,asufficientconditionisgivenunderwhichthesmashproductA#Hisatransfiniteleft.freenormalizingextensionofanalgebraA.Moreover,theresultisappliedtoaskewsemigroupring,askewgroupringandthequantumgroupU_q(sl(2))suchthatsomepropertiesareshown.

简介：Byusingtheequivalentclasses(whicharecalledcomponents)ofarealBanachspace,theexistence,uniquenessandsymmetricornonsymmetriciterativeapproximationofsolutionsforaclassofsystemsofmixedmonotoneoperatorequationsarediscussed.TheresultsobtainedhereareageneralizationofthecorrespondingresultsofGuoDajun(1988,]992),PanXingbin(1988)andLiFuyi&LiangZhandong(1994).Asapplication,theresultsareusedtostudytheexistenceanduniquenessproblemsofcommonsolutionsforaclassofsystemsofnonlinearintegralequations.

简介：让p是一个奇怪的素数。在我们证明那的这篇论文，顺序p(3)的所有四价的connectedCayley图是正常的。作为应用，奇怪的主要立方体的顺序的四价的对称的图的一个分类被给。

简介：AnewapproachfortreatingthemeshwithLagrangianschemeoffinitevolumemethodispresented.IthasbeenprovedthatclassicalLagrangianmethodisdifficulttocopewithlargedeformationintrackingmaterialparticlesduetoseveredistortionofcells,andthechangingconnectivityofthemeshseemsespeciallyattractiveforsolvingsuchissues.Themeshwithlargedeformationbasedoncomputationalgeometryisoptimizedbyusingnewmethod.Thispaperdevelopsaprocessingsystemforarbitrarypolygonalunstructuredgrid,theintelligentvariablegridneighborhoodtechnologiesisutilizedtoimprovethequalityofmeshincalculationprocess,andarbitrarypolygonalmeshisusedintheLagrangianfinitevolumescheme.Theperformanceofthenewmethodisdemonstratedthroughseriesofnumericalexamples,andthesimulationcapabilityisefficientlypresentedincopingwiththesystemswithlargedeformations.

简介：审查数据被不偏的转变方法学习的有间隔的吝啬的幸存时间的评估者的一个班。评估者基于观察被构造在在某个班上的评估者有的意义保证不偏的海角象吝啬的幸存时间的一样的期望。评估者有象强壮的一致性那样的好性质(与O的率(n−1/2(木头木头n)1/2))和asymptotic规度。到线性回归的申请被考虑，模拟报告被给。

简介：Inthisarticle,theauthorsobtainaninequalityofhomogeneousexpansionforf,wherefisaquasi-convexmapping(includingquasi-convexmappingoftypeAandquasi-convexmappingoftypeB)definedontheopenunitpolydiskinCn.Meanwhile,theauthorsalsoinvestigateitsapplication.

简介：Astructuredperturbationanalysisoftheleastsquaresproblemisconsideredinthispaper.Thenewerrorboundprovestobesharperthanthatforgeneralperturbations.Weapplythenewerrorboundtostudysensitivityofchangingtheknotsforcurvefittingofinterestratetermstructurebycubicspline.Numericalexperimentsaregiventoillustratethesharpnessofthisbound.

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简介：概括的球(SBGB)在三角形的领域上与参数H基于并且出现的Said-Bezier类型的一个家庭被介绍，它统一Bezier表面和Said-Ballsurface并且包括几中间的表面。变换不同的底和波浪王牌，底的双functionals被介绍。作为双functionals的应用，为表面的分公式被建立。

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简介：TheembeddedboundarymethodforsolvingellipticandparabolicproblemsingeometricallycomplexdomainsusingCartesianmeshesbyJohansenandColella(1998,J.Comput.Phys.147,60)hasbeenextendedforellipticandparabolicproblemswithinteriorboundariesorinterfacesofdiscontinuitiesofmaterialpropertiesorsolutions.Secondorderaccuracyisachievedinspaceandtimeforbothstationaryandmovinginterfaceproblems.Themethodisconservativeforellipticandparabolicproblemswithfixedinterfaces.Basedonthismethod,afronttrackingalgorithmfortheStefanproblemhasbeendeveloped.Theaccuracyofthemethodismeasuredthroughcomparisonwithexactsolutiontoatwo-dimensionalStefanproblem.Thealgorithmhasbeenusedforthestudyofmeltingandsolidificationproblems.

简介：Akindofsecond-orderimplicitfractionalstepcharacteristicfinitedifferencemethodispresentedinthispaperforthenumericallysimulationcoupledsystemofenhanced(chemical)oilproductioninporousmedia.Sometechniques,suchasthecalculusofvariations,energyanalysismethod,commutativityoftheproductsofdifferenceoperators,decompositionofhigh-orderdifferenceoperatorsandthetheoryofaprioriestimatesareintroducedandanoptimalordererrorestimatesinl~2normisderived.Thismethodhasbeenappliedsuccessfullytothenumericalsimulationofenhancedoilproductioninactualoilfields,andthesimulationresultsarequiteinterestingandsatisfactory.

简介：<正>Inthispaper,weapplythesolitontheorytothecaseofisometricimmersionindifferentialgeometryandobtainafamilyofisometricimmersionsfromMn1（c1）×Mn2（c2）tospaceformsMn（c）byintroducing2-parameterloopalgebra.