简介:一个不安方法为解决非线性的Korteweg-deVries(KdV)在动态系统的上下文被介绍方程。最好的效率为很少perturbative修正被获得。它被看那,这条途径的集中的问题完全这里被保证,因为在系列包括的一小部分术语能描述一个足够的准确答案。有quintic花键的答案的比较,;有限差别被介绍。
简介:为软件开发基于一个新DIY概念,在当有限元素程序生成器(FEPG)提供发展的一个平台,叫的一个软件系统上依附的一种自动产生节目的技术编程序,通过哪个一个科学研究人员能为解决方案以一个更直接、方便的方法提交他的特殊physico数学的问题到系统。为由使用有限元素方法解决流动和热问题,稳定技术和部分步方法被采用克服主要由于统治传送对流引起的数字困难。几个基准问题作为例子在这份报纸被给说明用法和自动程序产生技术的优势,包括在一个盖驱动的洞的流动,在一根圆形的管子中的开始的流动,在一个方形的洞的自然传送对流,并且经过圆形的柱体的流动,等等。他们也作为算法的确认被给看。
简介:Thispapersolvesthenewlyconstructednonlinearmasterequationdρ/dt=κ[2f(N)aρ(1/f(N-1))a+-a+aρ-ρa+a],wheref(N)isanoperator-valuedfunctionofN=a+a,fordescribingamplitudedampingchannel,andderivestheinfiniteoperatorsumrepresentationofquasi-Krausoperatorsforthedensityoperator.Italsoshowsthatinthisnonlinearprocesstheinitialpurenumberstatedensityoperatorwillevolveintothebinomialfield(amixedstate)whenf(N)=1/(N+1)~(1/2).
简介:Runge-Kuttamethodiswidelyappliedtosolvetheinitialvalueproblemofordinarydifferentialequations.TheimplicitRunge-Kuttawithbetternumericalstabilityforthenumericalintegrationofstiffdifferentialsystems,buttheformulatehastraditionallybeenonsolvingthenonlinearequationsresultingfromamodifiedNewtoniterationineverytime.Semi-implicitformulatehavethemajorcomputationallyadvantagethatitisnecessarytosolveonlylinearsystemsofalgebraicequationstofindtheKa.
简介:Anewandeffcientthree-dimensionalimplicithybrdschemeforEulerequatiopnsispresented.ThebasicschemeisthecouplingoftheJamesonandTurkel'sLUdecompositionsandProf.ZhangHanxin'sNNDconcept.TheimprovedLUdecompositionsareappliedtodiscretizedtheimplicitpartoftheEulerEquationsandZhang'smodifiedfluxfunctiontocalculatetherighthandsideoperatorsofthehybridscheme,Numericalcalculationsweremadeofsupersonicinletflowswithmixedexternal-internalcompressions,Someofthecomputedresultswerecomparedwithavailablewindtunneldata.
简介:Thepurposeofthepaperistoestablishatheoryoftheconstantheatfluxratioacrossthefrozenlayerbasedonthedimensionalanalysisofthesystemequationsdescribingthefreezingprocesses.Ananalyticalmodelisthendeveloped,utilizingthistheory,forsolvingtheplanar,cylindricalandsphericalfreezingproblemswithbothinwardandoutwardfreezing.Asthereisnoexactsolutionavailableforthecylindricalandsphericalfreezingprocesses,thetemperaturedistributionintheplanarsolidificationobtainedfromthemodeliscomparedwiththeexactsolution.Theyareinexcellentagreement.Forthecylindricalandsphericalfreezing,thecompleteinwardsolidificationtimescalculatedbythemodelarecomparedwiththoseobtainedfromreferences.Theresultsareingoodagreement.Thegreatadvantageoftheproposedmodelisitssimplicityandissufficientlyaccurateformostpracticalapplications