简介：Inthisstudy,weuseinexactnewtonmethodstofindsolutionsofnonlinear,nondifferenti-ableoperatorequationsonBanachspaceswithaconvergencestructure.ThistechniqueinvolvestheintroductionofageneralizednormasanoperatorfromalinearspaceintoapartiallyorderedBanachspace.Inthiswaythemetricpropertiesoftheexaminedproblemcanbeanalyzedmoreprecisely.Moreover,thisapproachallmvsustoderivefromthesametheorem,ontheonehand,semi-localresultsofKantorovich-type,andontheotherhand,globalresultsbasedonmono-tonicityconsiderations.Furthermore,iveshowthatspecialcasesofourresultsreducetothecorrespondingonesalreadyintheliterature.Finally>ourresultsareusedtosolveintegralequationsthatcannotbesolvedwithexistingmethods.

简介：Superconvergenceofthemixedfiniteelementmethodsfor2-dMaxwellequationsisstudiedinthispaper.Twoorderofsuperconvergentfactorcanbeobtainedforthek-thNedelecelementsontherectangularmeshes.

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简介：AbstractInthisarticlewebrieflystudiedthefictitiousdomainmethodsforsteadyandnonsteadyNavier-StokesequationsbasedonPenaltyfactorεontheextendeddomain.Theconvergenceu?→uinH01（Ω）dandL2（Ω）d（d=2,3）isgivenaswellasp?→pinL02（Ω）.

简介：Themulti-scalestructuresofcomplexflowsinchemicalengineeringhavebeengreatchallengestothedesignandscalingofsuchsystems,andmulti-scalemodelingisthenaturalwayinresponse.Particlemethods(PMs)areidealconstituentsandpowerfultoolsofmulti-scalemodels,owingtotheirphysicalfidelityandcomputationalsimplicity.Especially,pseudo-particlemodeling(PPM,Ge&Li,1996;Ge&Li,2003)ismostsuitableformolecularscaleflowpredictionandexplorationoftheoriginofmulti-scalestructures;macro-scalePPM(MaPPM,Ge&Li,2001)andsimilarmodelsareadvantageousformeso-scalesimulationsofflowswithcomplexanddynamicdiscontinuity,whilethelatticeBoltzmannmodelismorecompetentforhomogeneousmediaincomplexgeometries;andmeso-scalemethodssuchasdissipativeparticledynamicsareuniquetoolsforcomplexfluidsofuncertainpropertiesorflowswithstrongthermalfluctuations.Allthesemethodsarefavorableforseamlessinterconnectionofmodelsfordifferentscales.However,asPMsarenotoriginallydesignedaseithertoolsforcomplexityorconstituentsofmulti-scalemodels,furtherimprovementsareexpected.PPMisproposedformicroscopicsimulationofparticle-fluidsystemsasacombinationofmoleculardynamics(MD)anddirectsimulationMonte-Carlo(DSMC).ThecollisiondynamicsinPPMisidenticaltothatofhard-sphereMD,sothatmass,momentumandenergyareconservedtomachineaccuracy.However,thecollisiondetectionprocedure,whichismosttime-consuminganddifficulttobeparallelizedforhard-sphereMD,hasbeengreatlysimplifiedtoaprocedureidenticaltothatofsoft-sphereMD.Actually,thephysicalmodelbehindsuchatreatmentisessentiallydifferentfromMDandismoresimilartoDSMC,butanintrinsicdifferenceisthatinDSMCthecollisionsfollowdesignedstatisticalrulesthatarereflectionoftherealphysicalprocessesonlyinverylimitedcasessuchasdilutegas.PPMisidealforexploringthemechanismofcomplexflowsa

简介：通过实验设计和理论分析，三种技术使用了性质描绘二光子的吸收(TPA)，例如非线性的传播实验和理论，Z扫描技术和二光子的导致的荧光方法，被介绍。是utilizable的三个实验的性质并且在理想的限制下面可实现简单地被分析。为TPA描述的大小的优点也被分析。

简介：Inthispaperweanalyzetheerrorbehaviorofgenerallinearmethodsappliedtosomeclassesofone-parametermultiplystiffsingularlyperturbedproblems.Weobtaintheglobalerrorestimateofalgebraicallyanddiagonallystablegenerallinearmethods.ThemainresultofthispapercanbeviewedasanextensionofthatobtainedbyXiao[13]forthecaseofRunge-Kuttamethods.

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简介：Evaluationofthesound-structureinteractionisimportantforeffectivecontrolofnoiseandvibrationinstructuralacousticsystems.Crackedelasticstructure-soundinteractionproblemsarestudiedbyemployingthehybridfractalFEMandBEM.ThedegreesoffreedomofthesystemcanbereducedgreatlythroughadoptingfractalFEMindiscretizingthecrackedelasticstructure;whiletheexterioracousticfieldiscalculatedbyBEM,whichautomaticallysatisfiesSommerfeld'sradiationcondition.Numericalexamplesaregivenandshowthattheresonantfrequenciesofthestructure-acousticcoupledsystemdecreaseasthedepthofthecrackincreases,andthatthecrackhasasignificanteffectontheacousticalfieldinthevicinityofthecracktip.

简介：Inthispaperweshallgivethecharacteristicdifferencemethodsfortwophasedisplacemeatprobleminnaturallyfracturedreservoirs.Weshallprovetheexistence,uniquenessoftheapproximatesolutionandaprioridiscreteL2-errorestimates.

简介：Wedeveloptheinterpolatedfiniteelementmethodtosolvesecond-orderhy-perbolicequations.Thestandardlinearfiniteelementsolutionisusedtogenerateanewsolutionbyquadraticinterpolationoveradjacentelements.Weprovethatthisinterpo-latedfiniteelementsolutionhassuperconvergence.Thismethodcaneasilybeappliedtogeneratingmoreaccurategradienteitherlocallyorglobally,dependingontheapplications.Thismethodisalsocompletelyvectorizableandparallelizabletotaketheadvantagesofmoderncomputerstructures.Severalnumericalexamplesarepresentedtoconfirmourtheoreticalanalysis.

简介：我们开发并且分析一个一阶的系统最少平方光谱为秒顺序的方法有可变系数的椭圆形的边界价值问题。我们首先分析theChebyshev加权的标准最少平方功能由L_ω~2-1)-norm和H_ω~的和定义(方程然后我们代替的剩余的-1)-norm由分离否定标准和分析的否定标准分离Chebyshev加权的最少平方的方法。光谱集中为建议方法被导出。我们也介绍各种各样的数字实验。Legendreweighted最少平方的方法能被跟随这篇论文容易开发。

简介：Inthispaper,thetwoleveladditiveSchwarzalgorithmofmixedfiniteelement.dts-cretizationofInharmonicproblemispresented,therateofconvergeneceisobtained.Moreover,thetwolevelmultiplicativeSchwarzalgorithmisconsidered.

简介：Inapplicationsitisusefultocomputethelocalaverageofafunctionf(u)ofaninputufromempiricalstatisticsonu.AverysimplerelationexistswhenthelocalaveragesaregivenbyaHaarapproximation.Thequestionistoknowifitholdsforhigherorderapproximationmethods.Todoso,itisnecessarytouseapproximateproductoperatorsdefinedoverlinearapproximationspaces.TheseproductsarecharacterizedbyaStrongandFixlikecondition.Anexplicitconstructionoftheseproductoperatorsisexhibitedforpiecewisepolynomialfunctions,usingHermiteinterpolation.TheaveragingrelationwhichholdsfortheHaarapproximationisthenrecoveredwhentheproductisdefinedbyatwopointHermiteinterpolation.

简介：WeconsideranIterated-SubspaceMinimization(ISM)methodforsolvinglarge-scaleunconstrainedminimizationproblems.Ateachmajoriterationofthemethod,atwo-dimensionalmanifold,theiteratedsubspace,isconstructedandanapproximateminimizeroftheobjectivefunctioninthismanifoldthendetermined,andasymmetricrank-oneupdatingisusedtosolvetheinnerminimizationproblem.

简介：D-η-珍视向量的功能的合适的prequasi-invexity被描绘借助于(弱)将近集合的凸状和密度。在更弱的假设下面，某等价物为D-调节η-合适的prequasi-invexity被导出。

简介：Inthisarticle,wewillinvestigatethepropertiesofiterativesequencefornon-expansivemappingsandpresentseveralstrongandweakconvergenceresultsofsuccessiveapproximationstofixedpointsofnon-expansivemappingsinuniformlyconvexBanachspaces.Theresultspresentedinthisarticlegeneralizeandimprovevariousonesconcernedwithconstructivetechniquesforthefixedpointsofnon-expansivemappings.

简介：Theparallelalgorithmsofiterateddefectcorrectionmethods(PIDeCM’s)areconstructed,whichareofefficiencyandhighorderB-convergenceforgeneralnonlinearstiffsystemsinODE’S.AsthebasisofconstructinganddiscussingPIDeCM’s.aclassofparallelone-legmethodsisalsoinvestigated,whichareofparticularefficiencyforlinearsystems.

简介：在这篇论文，我们在R~d在一些non-tensorproduct领域上建议著名Fourier方法，包括单一、所谓超级单一它由组成(d+1)!笨人lices。作为二个例子，在2-D和3-D大小写一超级单一分别地作为平行等边六角形和平行四边的十二面体被显示出。我们扩大了大多数概念和传统的Fourier方法的结果在上多变量盒子例如Fourier基础系统，傅里叶级数，分离Fourier变换(DFT)和它的快算法(快速傅里叶变换)在上超级单一，以及概括正弦和余弦变换(DST，DCT)并且相关快算法在上一单一。在在这些域上的一个像拉普拉斯算符的操作符的基本直角的系统和特徵函数之间的Therelationship被探索。

简介：Thispaperfirstpresentsthestabilityanalysisoftheoreticalsolutionsforaclassofnonlinearneutraldelay-differentialequations(NDDEs).Thenthenumericalanalogousresults,ofthenaturalRunge-Kutta(NRK)methodsforthesameclassofnonlinearNDDEs,aregiven.Inparticular,itisshownthatthe(k,l)-algebraicstabilityofaRKmethodforODEsimpliesthegeneralizedasymptoticstabilityandtheglobalstabilityoftheinducedNRKmethod.