简介：Weusetheincrementalunknownsmethodinconjunctionwiththeiterativemethodstoapproximatethesolutionofthenonsymmetricandpositive-definitelinearsystemsgeneratedfromamultileveldiscretizationofthree-dimensionalconvection-diffusionequations.Theconditionnumbersofincrementalunknownsmatricesassociatedwiththeconvection-diffusionequationsandthenumberofiterationsneededtoattainanacceptableaccuracyareestimated.Numericalresultsarepresentedwithtwo-levelapproximations,whichdemonstratethattheincrementalunknownsmethodwhencombinedwithsomeiter-ativemethodsisveryeffcient.

简介：Inthispaper,aboundaryfeedbacksystemofaclassofnon-uniformundampedTimoshenkobeamwithbothendsfreeisconsidered.Alinearizedthree-leveldifferenceschemefortheTimoshenkobeamequationsisderivedbythemethodofreductionoforderonuniformmeshes.Theuniquesolvability,unconditionalstabilityandconvergenceofthedifferenceschemeareprovedbythediscreteenergymethod.Theconvergenceorderinmaximumnormisofordertwoinbothspaceandtime.Thevalidityofthistheoreticalanalysisisverifiedexperimentally.

简介：ＦＯＵＲＩＥＲ－ＣＨＥＢＹＳＨＥＶＳＰＥＣＴＲＡＬＭＥＴＨＯＤＦＯＲＳＯＬＶＩＮＧＴＨＲＥＥ－ＤＩＭＥＮＳＩＯＮＡＬＶＯＲＴＩＣＩＴＹＥＱＵＡＴＩＯＮＧＵＯＢＥＮＹＵ（郭本瑜）；ＬＩＪＩＡＮ（李健）；ＭＡＨＥＰＩＮＧ（马和平）（Ｄｅｐａｒｔｍｅｎｔｏ...

简介：在这份报纸，两倍Laplace分解方法的修正与起始的条件为伪parabolic方程的acoupled系统的分析近似解决方案被建议。一些例子被给支持我们的介绍方法。另外，我们证明两倍Laplace变换分解方法的集中适用于我们的问题。

简介：Inthispaper,weconsidernonlinearinfinity-normminimizationproblems.WedeviceareliableLagrangiandualapproachforsolvingthiskindofproblemsandbasedonthismethodweproposeanalgorithmforthemixedlinearandnonlinearinfinity-normminimizationproblems.Numericalresultsarepresented.

简介：ThispaperixdevotedtoestablishmentoftheChebyshevpseudospectraldomainde-compositionschemeforsolvingtwo-dimensionalellipticequation.Bythegeneralizedequivalentvariatiunalform,wecangetthestabilityandconvergenceofthisnewscheme.

简介：Thispaperdealswithabi-extrapolatedsubgradientprojectionalgorithmbyintroducingtwoextrapolatedfactorsintheiterativesteptosolvethemultiple-setssplitfeasibilityproblem.Thestrategyisintendtoimprovetheconvergence.Anditsconvergenceisprovedundersomesuitableconditions.Numericalresultsillustratethatthebi-extrapolatedsubgradientprojectionalgorithmconvergesmorequicklythantheexistingalgorithms.

简介：SomemodifiedLevitin-Polyakprojectionmethodsareproposedinthispaperforsolvingmonotonelinearvariationalinequalityx∈Ω，（x′-x)^T(Hx+c)≤0，foranyx′∈Ω.Itispointedoutthattherearesimilarmethodsforsolvingagenerallinearvariationalinequality.

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简介：Thispaperproposesanonmonotonicbacktrackingtrustregionalgorithmviabilevellinearprogrammingforsolvingthegeneralmulticommodityminimalcostflowproblems.Usingthedualitytheoryofthelinearprogrammingandconvextheory,thegeneralizeddirectionalderivativeofthegeneralmulticommodityminimalcostflowproblemsisderived.Theglobalconvergenceandsuperlinearconvergencerateoftheproposedalgorithmareestablishedundersomemildconditions.

简介：有牛顿重复的一个新decoupled二系结算法为解决描述通过多孔的媒介过滤的液体流动的联合Navier-Stokes/Darcy模型被建议。而且错误估计被给，当时，它证明精确性的一样的顺序能作为在好网孔直接解决系统被完成h=H2。理论分析和数字实验为解决联合问题说明算法的效率。

简介：Wediscusstheincompletesemi-iterativemethod(ISIM)foranapproximatesolutionofalinearfixedpointequationsx＝Tx+cwithaboundedlinearoperatorTactingonacomplexBanachspaceXsuchthatitsresolventhasapoleoforderkatthepoint1.SufficientconditionsfortheconvergenceofISIMtoasolutionofx=Tx+c,wherecbelongstotherangespaceof(I-T)k,areestablished.WeshowthattheISIMhasanattractivefeaturethatitisusuallyconvergentevenwhenthespectralradiusoftheoperatorTisgreaterthan1andInd1T≥1.ApplicationsinfiniteMarkovchainisconsideredandillustrativeexamplesarereported,showingtheconvergencerateoftheISIMisveryhigh.

简介：一个数字算法为包含与排干和涂层流动联系的第三顺序的平常的微分方程的某些边界价值问题的答案的近似被开发。数字算法获得的近似解决方案用nonpolynomialquintic花键函数发展了由的作者表演比另外的花键和域分解方法生产的那些好。算法在与排干和涂层流动表明途径的实际实用性联系的二个问题上被测试。