简介:在这份报纸,我们建议二种不同标准并且使用他们判定Durand紧排方法的集中并且把获得的结果与另外的方法作比较。[从作者抽象]
简介:Inthispaperwestudytheconvergenceofadaptivefiniteelementmethodsforthegeneralnon-affineequivalentquadrilateralandhexahedralelementson1-irregularmesheswithhangingnodes.Basedonseveralbasicingredients,suchasquasi-orthogonality,estimatorreductionandD(o|¨)flermarkingstrategy,convergenceoftheadaptivefiniteelementmethodsforthegeneralsecond-orderellipticpartialequationsisproved.OuranalysisiseffectiveforallconformingQ_melementswhichcoversboththetwo-andthree-dimensionalcasesinaunifiedfashion.
简介:1.IntroductionAssumethatwearefindingtheminimizerofthefollowingunconstrainedoptimizationproblemminf(x),(1.1)acReandassumethecurrentpointisxk’TOcalculatexk+1fromxkbyalinesearchmethod,thefollowingiterationXk+1~Xk+Akpk,k~1,2,’’’(1.2)isapplied.IntheBFGSal...
简介:ImplicitRunge-Kuttamethodishighlyaccurateandstableforstiffinitialvalueproblem.ButtheiterationtechniqueusedtosolveimplicitRunge-Kuttamethodrequireslotsofcomputationalefforts.Inthispaper,weextendtheParallelDiagonalIteratedRungeKutta(PDIRK)methodstodelaydifferentialequations(DDEs).WegivetheconvergenceregionofPDIRKmethods,andanalyzethespeedofconvergenceinthreepartsfortheP-stabilityregionoftheRunge-Kuttacorrectormethod.Finally,weanalysisthespeed-upfactorthroughanumericalexperiment.TheresultsshowthatthePDIRKmethodstoDDEsareefficient.
简介:调查一个明确的迎风的有限元素方法的集中,平均边的有限元素方法到多维的分级的能量守恒定律。有限元素计划和主要集中定理的讨论;技术词根的证明。
简介:Weproposeanovelnumericalapproachfordelaydifferentialequationswithvanishingproportionaldelaysbasedonspectralmethods.ALegendre-collocationmethodisem-ployedtoobtainhighlyaccuratenumericalapproximationstotheexactsolution.Itisprovedtheoreticallyanddemonstratednumericallythattheproposedmethodconvergesexponentiallyprovidedthatthedatainthegivenpantographdelaydifferentialequationaresmooth.
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简介:1.IntroductionTheaimofthisnoteistoestablishtheconvergenceofthenonconformingfiniteelementmethodsforthesecondorderellipticproblemwiththelowestregularity.Theproofoftheconvergenceisnottrivial,althoughtheconvergenceresultsfortheconformingfiniteelementmeth...
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简介:由由于Samokish扩大古典分析技术,在其它之中的Faddeev和Faddeeva,和Longsine和麦考密克,我们与含蓄的放气(PSD标志)证明preconditioned的集中是最陡峭的降下为解决Hermitian明确的概括特征值问题的方法。而且,我们导出PSD标志方法的集中的率的nonasymptotic估计。我们证明与移动的一种合适的选择,不定的shift-and-invertpreconditioner是局部地加速的preconditioner,并且是asymptotically最佳的它导致superlinear集中数字例子被举为解决从电子结构计算产生的性恶的Hermitian明确的概括特征值问题在PSD标志方法的集中行为上验证理论结果。当严密、照原尺寸时,preconditioned的集中证明在实际使用堵住最陡峭的降下方法仍然大部分逃避我们,我们相信在这份报纸介绍的理论结果使这些块方法的集中行为的改进理解清楚些。