简介：StabilizedorChebyshevexplicitmethodshavebeenwidelyusedinthepasttosolvestiffordinarydifferentialequations.MakinguseofspecialpropertiesofChebyshev-likepolynomials,thesemethodshavefavorablestabilitypropertiescomparedtostandardexplicitmethodswhileremainingexplicit.Anewclassofsuchmethods,calledROCK,introducedin[Numer.Math.,90,1-18,2001]hasrecentlybeenextendedtostiffstochasticdifferentialequationsunderthenameS-ROCK[C.R.Acad.Sci.Paris,345(10),2007andCommun.Math.Sci,6(4),2008].InthispaperwediscusstheextensionoftheS-ROCKmethodstosystemswithdiscretenoiseandproposeanewclassofmethodsforsuchproblems,theT-ROCKmethods.Onemotivationforsuchmethodsisthesimulationofmulti-scaleorstiffchemicalkineticsystemsandsuchsystemsarethefocusofthispaper,butournewmethodscouldpotentiallybeinterestingforotherstiffsystemswithdiscretenoise.TwoversionsoftheT-ROCKmethodsarediscussedandtheirstabilitybehaviorisanalyzedonatestproblem.ComparedtotheT-leapingmethod,asignificantspeed-upcanbeachievedforsomestiffkineticsystems.Thebehavioroftheproposedmethodsaretestedonseveralnumericalexperiments.

简介：Inthispaper,standardandeconomicalcascadicmultigridmethodsareconsideredforsolvingthealgebraicsystemsresultingfromthemortarfiniteelementmethods.Bothcascadicmultigridmethodsdonotneedfullellipticregularity,sotheycanbeusedtotacklemoregeneralellipticproblems.Numericalexperimentsarereportedtosupportourtheory.

简介：付春敏老师向我们推荐了这篇罗德尼·马丁有关教师在培养学生写作结构中促进思维能力发展的文章。在文中我们可以看到,以英文为母语的西方,教师更加着力于对学生的构思结构"大局"观的思维培养。文中对培养学生写作结构思维能力的剖析,望能对老师们的教育教学有所启示。

简介：BioscienceMethods(ISSN1925-1920)isanopenaccess,peerreviewedjournalpublishedonlinebyBioPublisher.Thejournalpublishesallthelatestandoutstandingresearcharticles,lettersandreviewsinallareasofbioscience,therangeoftopicsincluding(butarenotlimitedto)technologyreview,techniqueknow-how,labtool,statisticalsoftwareandknown

简介：BioscienceMethods(ISSN1925-1920)isanopenaccess,peerreviewedjournalpublishedonlinebyBioPublisher.Thejournalpublishesallthelatestandoutstandingresearcharticles,lettersandreviewsinallareasofbioscience,therangeoftopicsincluding(butarenotlimitedto)technologyreview,techniqueknow-how,labtool,statisticalsoftwareandknown

简介：BioscienceMethods(ISSN1925-1920)isanopenaccess,peerreviewedjournalpublishedonlinebyBioPublisher.Thejournalpublishesallthelatestandoutstandingresearcharticles,lettersandreviewsinallareasofbioscience,therangeoftopicsincluding(butarenotlimitedto)technologyreview,techniqueknow-how,labtool,statisticalsoftwareandknowntechnologymodification.Casestudiesontechnologiesforgenediscoveryandfunction

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简介：CascadicmultigridtechniqueformortarWilsonfiniteelementmethodofhomogeneousboundaryvalueplanarlinearelasticityisdescribedandanalyzed.FirstthemortarWilsonfiniteelementmethodforplanarlinearelasticitywillbeanalyzed,andtheerrorestimateunderL2andH1normisoptimal.Thenacascadicmultigridmethodforthemortarfiniteelementdiscreteproblemisdescribed.Suitablegridtrans-feroperatorandsmootheraredevelopedwhichleadtoanoptimalcascadicmultigridmethod.Finally,thecomputationalresultsarepresented.

简介：Inthepresentpaperweextendthemethodpresentedby0.AxelssonandP.VassilevskicalledAMLPversion(i)ofrecursivelyconstructingpreconditionerforthestiffnessmatrixinthediscretizationofselfadjointsecondorderellipticboundaryvalueproblems.Inourextendedmethodthesystemstobeeliminatedoneachlevelcontainingthemajorblockmatricesofthegivenmatrixcanbesolvedapproximately,whiletheymustbesolvedexactlyintheoriginalmethod.

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简介：在这篇论文，我们考虑椭圆形的问题为第二份订单混合了有限元素方法。在最低顺序Brezzi-Douglas-Marini元素的情况中(如果d=2)orBrezzi-Douglas-Duran-Fortin元素(如果d=3)在矩形的平行六面体上，我们证明由合并某些照规则，混合方法系统能作为一个简单、以房间为中心的有限差别方法被写。这导致答案一稀少，positivesemidefinite为未知的数量的线性系统。为一个斜张肌系数，为未知的数量的稀少模式是五个点模板如果d=2，和七如果d=3。为一个一般张肌系数，它是九个点模板，并且十九分别地。是的混合方法实现的应用对的有限差别非等温多相，多，在多孔的媒介的部件流动被介绍。

简介：在一份以前的报纸，一些特别multistep余弦方法被构造因为能线性地以一个稳定、明确的方法集成，它证明了很有效秒顺序的生硬问题及时。在现在的纸，为这种类型的一般方法的稳定性被给保证的条件，以及回声的彻底的研究并且为对称的过滤(它在另一份报纸，被证明了在Hamiltonian波浪方程关于invariants的保存很有益地表现)。这里被给的，是在提及的方面分析并且对待任何这种类型的方法的一个系统的方法。

简介：人的社会的动力学现在在由城市创造的人工的环境的上下文正在学习。在这个工作，作者描述一些在复杂性科学过去常学习城市的系统的形式化方法。作者讨论一些在现在的科学研究注意一些最深的争吵的城市的重要量的途径。当学习这类合作社会环境时，作者将强调一条transdisciplinary途径的重要性。

简介：when I told students that they could design and draw a picture about the future world on a piece of paper,I can launch a project to solve the problem. (I can do something to change the present situation.)☆Themethodsused in problem analysis Are themethodsused to analyze the problem acceptable,Week 3Teaching notes Students’ handout Diary-keeping ☆Themethodsused in project implementationIn what way has the project been implemented

简介：the students of this age like being close to teachers. If they have good will to a certain teaching,the teachers can tell a joke or a byword with English that students can understand roughly according to content of course. Or students show their English conversation practices for three minutes,they can have class more carefully.3.2 Get well ready for teachingIf the teachers want to give a successful English class

简介：Handlingindustrialpowdersleadstodustemissions.Theseemissionstendtogeneratehumandiseasesorcauseotherenvironmentaleffects.Amultitudeofapparatushasbeendevelopedtoestimatethisdustinessbehaviourofpowders.Twoofthesewell-knownmethodsarepresentedandcomparedwitheachother.Athirdrecentlydevelopedmethodisalsointroduced.

简介：Inthispaperweprovethattheasymptoticrateofconvergenceofthemod-ifiedGauss-Seidelmethodofanon-singularM-matrixisamonotonicfunctionforpreconditionparameters0≤αi≤1-2,(i=1,2,…,n-1).

简介：AimsandScope:NumericalMathematics:Theory,MethodsandApplications(NM-TMA)publisheshigh-qualityoriginalresearchpapersontheconstruction,analysisandapplicationofnumericalmethodsforsolvingscientificproblems.Importantresearchandexpositorypapersdevotedtothenumericalsolutionofmathematicalproblemsarisinginallareasofscience

简介：Anewhigh-ordertime-steppingfiniteelementmethodbaseduponthehigh-ordernumericalintegrationformulaisformulatedforSobolevequations,whosecomputationsconsistofaniterationprocedurecoupledwithasystemoftwoellipticequations.Theoptimalandsuperconvergenceerrorestimatesforthisnewmethodarederivedbothinspaceandintime.Also,aclassofnewerrorestimatesofconvergenceandsuperconvergenceforthetime-continuousfiniteelementmethodisdemonstratedinwhichtherearenotimederivativesoftheexactsolutioninvolved,suchthattheseestimatescanbeboundedbythenormsoftheknowndata.Moreover,someusefula-posteriorierrorestimatorsaregivenonthebasisofthesuperconvergenceestimates.