简介：基于Trilinos程序包中的AztecOO和MLpackage开发了并行Poisson求解器.在非均匀的结构化网格上实现了复杂金属/电介质几何体的建模.Poisson方程通过有限体积方法离散形成求解矩阵,然后利用Trilinos进行并行矩阵求解.并行测试表明,求解器的收敛表现良好,在典型情况下性能满足需求.这一求解器代码可以用于从等离子体模拟到传热过程等多种任务.

简介：利用微元法从三维和二维波动方程的Cauehy问题的Poisson公式解得到一维波动方程的Cauchy问题的D’Alembert公式解．

简介：WhenthePoissonmatrixofPoissonsystemisnon-constant,classicalsymplecticmethods,suchassymplecticRunge-Kuttamethod,generatingfunctionmethod,cannotpreservethePoissonstructure.Thenon-constantPoissonstructurewastransformedintothesymplecticstructurebythenonlineartransform.ArbitraryordersymplecticmethodwasappliedtothetransformedPoissonsystem.TheEulerequationofthefreerigidbodyproblemwastransformedintothesymplecticstructureandcomputedbythemid-pointscheme.Numericalresultsshowtheeffectivenessofthenonlineartransform.

简介：Wecompare13differentaposteriorierrorestimatorsforthePoissonproblemwithlowest-orderfiniteelementdiscretization.Residual-basederrorestimatorscompetewithawiderangeofaveragingestimatorsandestimatorsbasedonlocalproblems.Amongourfivebenchmarkproblemswealsolookontwoexampleswithdiscontinuousisotropicdiffusionandtheirimpactontheperformanceoftheestimators.(SupportedbyDFGResearchCenterMATHEON.)

简介：我们withasymptotically在某完全的军士合同manifolds上学习泊松方程非否定的弯曲。我们将也与非否定的弯曲在某完全的军士合同manifolds上学习nonhomogeneousheat方程的限制行为。

简介：在这笔记，泊松方程的整齐？有躺在对数函数空间Lp(LogL)的f的螖u=f一(惟)(1方程的p估计(惟)。

简介：VariationalmethodsareusedtostudythenonlinearSchrdinger-Poissontypeequationswhichmodeltheelectromagneticwavepropagatingintheplasmainphysics.ByanalyzingtheHamiltonianpropertytoconstructaconstrainedvariationalproblem,theexistenceofthegroundstateofthesystemisobtained.Furthermore,itisshownthatthegroundstateisorbitallystable.

简介：ThispaperstudiestheoperatingcharacteristicsofanM/G/1queuingsystemwitharandomizedcontrolpolicyandatmostJvacations.Afterallthecustomersareservedinthequeueexhaustively,theserverimmediatelytakesatmostJvacationsrepeatedlyuntilatleastNcustomersarewaitingforserviceinthequeueuponreturningfromavacation.IfthenumberofarrivalsdoesnotreachNbytheendoftheJ~(th)vacation,theserverremainsidleinthesystemuntilthenumberofarrivalsinthequeuereachesN.IfthenumberofcustomersinthequeueisexactlyaccumulatedNsincetheserverremainsidleorreturnsfromvacation,theserverisactivatedforserviceswithprobabilitypanddeactivatedwithprobability(1-p).Forsuchvariantvacationmodel,otherimportantsystemcharacteristicsarederived,suchastheexpectednumberofcustomers,theexpectedlengthofthebusyandidleperiod,andetc.Followingtheconstructionoftheexpectedcostfunctionperunittime,anefficientandfastprocedureisdevelopedforsearchingthejointoptimumthresholds(N~*,J~*)thatminimizethecostfunction.Somenumericalexamplesarealsopresented.

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简介：Theprobabilityofearthquakeoccurrenceintheforthcoming50yearsintheareaconfinedbyLinfen,Taiyuan,andDaixianbasins,ShanxiProvinceiscomputedbyusingadualPoissonmodelandthefutureseismicriskisalsocomputedbyusingaprobabilitydistributionintegratedwiththeattenuationlaw.

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简介：通过研究得出了在复合Poisson模型下，当赔付服从指数分布时有限时间内的生存概率的拉普拉斯变换公式。

简介：ThispaperfocusesonstudyingthePoissontheoryandtheintegrationmethodofdynamicsofrelativemotion.Equationsofadynamicalsystemofrelativemotioninphasespacearegiven.Poissontheoryofthesystemisestablished.TheJacobilastmultiplierofthesystemisdefined,andtherelationbetweentheJacobilastmultiplierandthefirstintegralsofthesystemisstudied.Ourresearchshowsthatforadynamicalsystemofrelativemotion,whoseconfigurationisdeterminedbyngeneralizedcoordinates,thesolutionofthesystemcanbefoundbyusingtheJacobilastmultiplierif(2n1)firstintegralsofthesystemareknown.Attheendofthepaper,anexampleisgiventoillustratetheapplicationoftheresults.

简介：1Euler—Poisson积分的几种求值方法1．1运用变量代换求值

简介：Inthispaper,theuniquenessofstationarysolutionswithvacuumofEulerPoissonequationsisconsidered.Throughanonlineartransformationwhichisafunctionofdensityandentropy,thecorrespondingproblemcanbereducedtoasemilinearellipticequationwithanonlinearsourcetermconsistingofapowerfunction,forwhichtheclassicaltheory[4]'[9]oftheellipticequationsleadstheauthorstotheuniquenessresultundersomeassumptionsontheentropyfunctionS(x).Asanexample,theauthorsgettheuniquenessofstationarysolutionswithvacuumofEuler-PoissonequationsforS(x)=|x|θandθ∈{0}∪[2(N-2),+∞).

简介：文章研究了退保因素下保费收取过程及索赔总额均为复合Poisson过程的风险模型,运用鞅方法得出了破产概率满足的Lundberg不等式和一般公式,并给出了生存概率满足的积分—微分方程。

简介：这份报纸基于方向性的差别为有限的点方法使一些成为数学分析。由用仅仅为一阶的计算和秒顺序的五个附近的点的数字公式的明确的表达式的优点方向性的differentials，新方法论被介绍给拉普拉斯算符操作符在2D上定义的discretize散布的点分布。有很弱的限制的一些足够的条件被获得，在哪个下面结果的计划是积极计划。作为后果，分离最大的原则被证明，并且第一命令O(h)的会聚的结果为在散布的点分布上定义的节的答案被完成，它能在一致的点分布上被提起直到O(h2)。

简介：“Poisson分布的总体均数与其观察单位成正比”,这是一个被忽视的性质,但这是一个很基本的性质,在一些问题的解决中它是必需的.本文讨论了这个性质,并举例说明它在实际问题中的应用,然后对此内容在授课过程中的安排提出建议.

简介：这篇论文在一种尺寸考虑Schroedinger泊松系统的一个家庭，其起始的数据震荡以便一苛性出现。由使用Lagrangianintegrals，作者在外面获得对答案的一致描述苛性、近苛性。